What point on the unit circle corresponds to an angle of 173º

Answers

Answer 1
Final answer:

The point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288), derived by converting the angle to radians, then calculating the cosine and sine for the x and y coordinates respectively.

Explanation:

To find the point on the unit circle that corresponds to an angle of 173º, we first need to convert the angle from degrees to radians. We use the conversion factor of π/180 radians per degree, so 173 degrees is equal to (173)*(π/180) = 3.02 radians.

On the unit circle, the x-coordinate of a point corresponds to the cosine of the angle, and the y-coordinate corresponds to the sine of the angle. In this case, the x-coordinate would be cos(3.02) ≈ -0.9917, and the y-coordinate would be sin(3.02) ≈ 0.1288.

So, the point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288).

Learn more about Unit Circle here:

https://brainly.com/question/11987349

#SPJ2


Related Questions

10 x 6 tens-unit form and standard form

Answers

Answer:

Standard form: 600

Unit form: 6 hundreds.

Step-by-step explanation:

We have been given a number [tex]10\times 6[/tex]-tens. We are asked to write our given number in unit form and standard form.  

To write our given number in standard form, we will expand our given number as shown below:

6-tens [tex]6\times 10=60[/tex]

[tex]10\times 6[/tex]-tens would be  [tex]10\times 60=600[/tex]

Therefore, our given number in standard form would be 600.

We know that unit form is writing a number using place value units.

We can see that our given number has 0 ones, 0 tens and 6 hundreds.

Therefore, our given number in unit form would be 6 hundreds.

We have that  the Tens unit form of 10 x 6 and  Standard form is mathematically

[tex]6*10^1[/tex]

6tens

From the question we are told that

10 x 6

10 x 6=60

Standard form is a number, between 1 and 10 multiplied by a power of 10

Generally the equation for the Standard form   is mathematically given as

x*10^y

Therefore

the Standard form  of 10 x 6  is mathematically given as

[tex]6*10^1[/tex]

And

Generally the equation for the Tens unit form of 10 x 6  is mathematically given as

x*tens(10)

Tens-unit form is mathematically given as

6tens

For more information on this visit

https://brainly.com/question/23366835?referrer=searchResults

There are 24 student's in a science class. Mr. Sato will give each pair of student's 3 magnets. So far, Mr. Sato has given 9 pairs of students their 3 magnets. How many more magnets does Mr. Sato need zo.that each pair of student's habe exactly 3 magnets?

Answers

well, a pair of students means two. if there are 24 students then there are: 24/2 = 12 pairs of students.

9 pairs already got their magnets. 12 - 9 = 3 pairs still need magnets.

each pair gets 3 magnets. So he needs 3*3 = 9 more magnets
2 students equal a pair, 9 pairs equal 18 students, which leave 6 students left. that remains 3 pairs, which need 3 magnets each pair. (3*3=9) Mr. Sato needs 9 magnets.

Describe or show two ways to find the following product: 1/4 x 2/3.

Answers

1/4 = 0.25
2/3 = 0.666666667
0.25(0.666666667) = 0.166666667 = [tex] \frac{1}{6} [/tex]
______________________________

[tex] \frac{1}{4} ( \frac{2}{3}) = \frac{2}{12} = \frac{1}{6} = 0.166666667[/tex]

What percentage of 3000 is 330

Answers

The answer to this is 11 percent

Answer:

11

Step-by-step explanation:

Cody filled a container with 7 3/16 quarts of iced tea. how many 1/4 quart glasses can be served from the container

Answers

simply do a division on both.

[tex]\bf \stackrel{mixed}{7\frac{3}{16}}\implies \cfrac{7\cdot 16+3}{16}\implies \stackrel{improper}{\cfrac{115}{16}} \\\\\\ \textit{how many times does }\frac{1}{4}\textit{ go into }\frac{115}{16}? \\\\\\ \cfrac{\quad \frac{115}{16}\quad }{\frac{1}{4}}\implies \cfrac{115}{16}\cdot \cfrac{4}{1}\implies \cfrac{115}{4}\implies 28\frac{3}{4}[/tex]

Find the area of the following circle. Use = 3.14

r = 5 yd.

Answers

78.5 yd² is your answer.

If the circular opening of the pipe has a diameter of 21 inches and the oil was estimated to be flowing at 30 inches/second, how many cubic feet of oil were leaving the pipe each second? Each day?

Answers

This is a matter of Amount = Rate  times  time.

First, find the area of the circular opening.  A = pi (r^2).  Here,

A = pi(10.5 inches)^2.

To obtain the volume of water that flows out of the pipe per second, multiply this area by the 30 inches per second rate.

That comes out to a volume per second of  Volume rate = pi*(10.5 inches)^2 * 30 inches per second:

Volume rate = 3.14(110.25 in^2)(30 inches/sec)
                     = 10390.8 cubic inches per second

Convert this result to cubic feet per second.  Recall that 1 cubic foot = (12 inches)^3, or 1728 cubic inches / 1 cubic foot.

Thus, 10390.8 cubic inches per second comes out to

           10390.8 cubic inches
           ----------------------------   =   Just over 6 cubic feet per sec.
               1728 cu. inches
                ---------------------
                  1 cu. ft

How many sec in 1 day?    1 day = 24 hours
                                             1 hour = 60 minutes
                                             60 seconds = 1 minute

Figure out how many seconds there are in 1 day, and then multiply your result by 6 cu. ft. / sec. 
Final answer:

To find the flow rate of oil, first calculate the cross-sectional area of the pipe using the formula for the area of a circle, A=πr². Then, multiply the area by the given oil speed to find the volume of oil flowing every second. Multiply this by the number of seconds in a day to find the amount of oil leaving the pipe each day, and remember to convert from cubic inches to cubic feet.

Explanation:

The question is asking us to find the volume of oil leaving the pipe per second and per day. To calculate the flow rate of oil, we first find the cross-sectional area of the pipe by using the formula for the area of a circle A=πr², where r is the radius of the pipe (half the diameter). Since the diameter given is 21 inches, the radius is 10.5 inches.

Next, use the given flow rate of 30 inches/second to calculate the volume of oil flowing every second. This is done by multiplying the area by the oil speed V = A * oil speed.

To find the amount of oil leaving the pipe each day, we multiply the volume per second by the number of seconds in a day .

Note: To convert cubic inches to cubic feet (since the question asks for cubic feet), remember there are 1728 cubic inches in 1 cubic foot.

Learn more about Flow rate calculation here:

https://brainly.com/question/31054204

#SPJ2

The gas tank in the car holds 20 gallons of gasoline. You used up 4 gallons and 1 quart on your trip. How much gasoline is left in the tank?

Answers

There are 4 quarts in a gallon so the amount used can be shown as 4 1/4, or 4.25 so to find out how much gas is left in the tank you simply subtract 4.25 from 20.

20-4.25

=15.75

There is 15.75, or 15 3/4, gallons of gasoline left in the tank.

The correct answer is:

Total capacity of tank in quarts:

20 gallons = 20 × 4 = 80 quarts

Gasoline used in quarts:

4 gallons 1 quart = (4 × 4) + 1 = 17 quarts

Gasoline left in the tank in quarts:

80 − 17 = 63 quarts

Gasoline left in the tank in gallons and quarts:

63 quarts = 63 ÷ 4 = 15 remainder 3 = 15 gallons 3 quarts

Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP

Answers

The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
[tex]\vec{QP} = \hat{i} + 3\hat{j}[/tex]

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
[tex]\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)[/tex]
The magnitude is √(10).

Answer:

<1, 3>, square root of ten

Step-by-step explanation:

a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound bag create?

Answers

namely, how many times does 2/3 go into 9?

well

[tex]\bf 9 \div \frac{2}{3}\implies \cfrac{9}{\frac{2}{3}}\implies \cfrac{\quad \frac{9}{1}\quad }{\frac{2}{3}}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2} \\\\\\ \textit{2 goes \underline{13 times} into 27, with a \underline{remainder of 1}}\implies 13\frac{1}{2}[/tex]

Answer:

13 1/2

Step-by-step explanation:

how to round 254 to the nearest hundred

Answers

One way is using the rules.

To round 254 to the nearest hundred, look at 254. 
If the tens place is 5 or above round it to 300, if it is 4 or below round it down to 200.
The tens value is 5 so you would round 254 to 300.

Find the vertex of the parabola whose equation is y = x2 - 4x + 6.

Answers

Hello Romom! To find the vertex, we can use the vertex formula to find x of the vertex and then use the equation to find the y of the vertex.

Vertex Formula: [tex]x = \frac{-b}{2a}[/tex]

[tex]y = x^2 - 4x + 6 [/tex]
b =  (-4) 
a = 1

[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-4)}{2(1)}[/tex]
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]

So the vertex x point is at 2 so (x,y) = (2,y)
Now lets find the y by inserting 2 where the x is located in the equation:
[tex]y = x^2 - 4x + 6[/tex]
[tex]y = 2^2 - 4(2) + 6[/tex]
[tex]y = 4 - 8 + 6[/tex]
[tex]y = 2[/tex]
Now that we found the y for the vertex, we have (x,y) = (2,2) and (2,2) is our vertex. We can graph the equation to and see (2,2) is correct.


spiders can walk on walls write the statement in if then form

Answers

If a spider can walk, then it can walk on walls.

If then because statements are much like they seem.

How to find the factor for the expression
4x-6y

Answers

Answer: 2

To factor the expression, you must try to find the greatest common factor of 4 and 6 since you x and y have no common factors. The greatest common factor is 2 for 4 and 6, since when you divide out the 2, you are left with 2 and 3 which cannot be factored anymore. 

Solve the system 2x-2y=10 4x-5y=17

Answers

multiply 2x-2y=10 by 2,
4x-4y=20,
given:4x-5y=17
y=3
pluck it in
2x-6=10
move the 6 to the right
2x=16
divide
x=8
y=3
Equation 1)  2x - 2y = 10
Equation 2)  4x - 5y = 17

Multiply ALL of equation 1 by 2.

1)  2(2x - 2y = 10)

Simplify.

1)  4x - 4y = 20
2)  4x - 5y = 17

Subtract equations from one another.

y = 3

Plug in 3 for y in the first equation.

1)  2x - 2y = 10

2x - 2(3) = 10

Simplify.

2x - 6 = 10

Add 6 to both side.s

2x = 16

Divide both sides by 2.

x = 8

------------------------------------
Check your work by plugging in 8 for x, and 3 for y into the original equations.

2x - 2y = 10 & 4x - 5y = 17

1)  2x - 2y = 10

2(8) - 2(3) = 10

Simplify.

16 - 6 = 10

10 = 10 

2)  4x - 5y = 17

4(8) - 5(3) = 17

Simplify.

32 - 15 = 17

17 = 17

Therefore, x = 8, y = 3

~Hope I helped!~

The perimeter of a square is 26.46 inches. What is the side length of the square?

Answers

A square has 4 equal sides.  Perimeter is calculated by adding all the sides
Normally it would be:
P=s1+s2+s3+s4
for a square its simply
P=4s
26.46=4S
6.615=S
Each side is 6.615 inches
Final answer:

The side length of a square whose perimeter is 26.46 inches can be calculated by dividing the given perimeter by 4 (the number of sides in a square), resulting in a side length of approximately 6.615 inches.

Explanation:

The subject of this question is Mathematics, with the specific topic being measurement and geometry. This question is applicable to Middle School grade levels. The student seeks to determine the side length of a square, knowing the perimeter is 26.46 inches.

To find the side length, we need to recall the formula for the perimeter of a square: P = 4s, where P represents the perimeter and s represents the length of a side. The student's square has a perimeter of 26.46 inches, so the equation would be 26.46 = 4s.

To isolate the value of s, we divide both sides of the equation by 4. This gives us: s = 26.46/4. Upon doing the division, we find that each side of the square is approximately 6.615 inches.

Learn more about Side Length of a Square here:

https://brainly.com/question/24584437

#SPJ3

Find all points on the circle x 2 + y 2 = 100 where the slope is 3 4

Answers

Final answer:

The points on the circle x² + y² = 100 where the slope of the tangent is ¾ are (6, -8) and (-6, 8). This is found by taking the derivative of the circle equation, setting it equal to the slope, solving for y, substituting this into the original circle equation, and solving for x.

Explanation:

The equation of the circle is x² + y² = 100. To find the points on this circle where the slope of the tangent is ¾, we need to find the derivative of this equation. The derivative of y with respect to x is dy/dx = -x/y. Set this equal to ¾ and solve for y, which gives y = -4x/3. Substitute this into the original circle equation to solve for x, which yields x = ± 6. Then substitute these x-values back into the equation y = -4x/3 to get y = ± 8. Therefore, the points on the circle where the slope of the tangent is ¾ are (6, -8) and (-6, 8).

Learn more about Tangent Slope here:

https://brainly.com/question/32393818

#SPJ12

Final answer:

To find points on the circle x² + y² = 100 where the slope is 3/4, differentiate the circle's equation and set the derivative equal to 3/4. Solve the system of equations involving the circle's equation and the line's equation derived from the slope criteria. This process typically yields two points of intersection due to the geometrical properties of circles and lines.

Explanation:

To find all points on the circle x2 + y2 = 100 where the slope is 3/4, we first acknowledge that the given circle is centered at the origin (0,0) with a radius of 10 units. Since the slope of a tangent to the circle at any point can be found using implicit differentiation, let's differentiate the given equation with respect to x. Doing so, we get 2x + 2yy' = 0 where y' denotes the slope of the tangent to the circle at (x,y). Solving for y', we get y' = -x/y. Setting this equal to the given slope of 3/4, we have -x/y = 3/4.

By cross-multiplying and rearranging, we get 4x + 3y = 0. To find the points of intersection between the line and the circle, we substitute x2 + y2 = 100 into this equation. Solving the system of equations will yield the points on the circle where the slope of the tangent is 3/4.

Note: The exact points of intersection would require solving a resulting quadratic equation, which can give two possible points since a line with a given slope (except vertical) will typically intersect a circle at two points.

The formula s= sa/6 gives the length of the side, s, of a cube with the surface area, sa. How much longer is the side of the cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters ?

Answers

[tex]\bf s=\cfrac{sa}{6}\qquad \cfrac{\stackrel{larger}{side}}{\stackrel{smaller}{side}}\implies \cfrac{\quad \frac{180}{6}\quad }{\frac{120}{6}}\implies \cfrac{180}{6}\cdot \cfrac{6}{120}\implies \cfrac{180}{120}\implies \cfrac{3}{2}[/tex]

they're on a ratio of 3:2, so if the small is 2, the large one is 3, and if the small one is 120, the large one is 180.

on a 3:2 ratio, 3 is larger than 2 by 1 unit, 1 is 50% of 2, or half, so the longer side is 50% larger.

Answer with explanation:

Side of cube = S

Surface Area of Cube = S.A

Relation between Side of a cube and surface area

   [tex]S=\frac{S.A}{6}[/tex]

→If surface area of cube =180 Square meters

Side of cube (S)

                     [tex]S_{1}=\frac{180}{6}\\\\=30[/tex] meters

→  If surface area of cube =120 Square meters

Side of cube (S)

                     [tex]S_{2}=\frac{120}{6}\\\\=20[/tex] meters

[tex]S_{1}-S_{2}=30 -20=10\\\\S_{1}=S_{2}+10[/tex]

Side of cubic having surface area 180 square meters is greater by 10 meters, than a cube with the surface area of 120 square meters.

 

A customer pays $3.27 for oranges and $4.76 for pears. How many pounds of fruit does the customer buy?

Answers

take 3.27 and divide that by 1.09  (for the oranges)
3.27/1.09=3lbs. of oranges
then take 4.76 and divide that by 1.19       (for the pears)
4.76/1.19=4lbs. of pears
add 4+3 to get how many lbs. in all
4+3=7

A total of 7 pounds of fruit does the customer buy.

Given that, a customer pays $3.27 for oranges and $4.76 for pears.

The cost of 1 pound orages=$1.09 and the cost of 1 pound pears=$1.19

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of pounds of oranges =3.27/1.09=3 pounds

The number of pounds of pears =4.76/1.19=4 pounds

Total weight=3+4=7 pounds

Therefore, a total of 7 pounds of fruit does the customer buy.

To learn more about the unitary method visit:

https://brainly.com/question/22056199.

#SPJ2

Carlos has 5/8 pound of pumpkin seeds. He puts the seeds evenly into 20 envelopes. How much pumpkin seed is in each envelope?

Answers

Hello there! The answer would be 32. Here's how I solved it:
20/1 divided by 5/8:
20 x 8 = 160
1 x 5 = 5 = 160/5
Simplify: 32

Hope this helps you!

The answer would be 32.I got 32 because 20/1 is supposed to be divided by 5/8.I got 20/1 because when you don’t have a fraction and you want to make I a fraction it’ll be 20/1 in this case for example.So then you multiply 20 and 8 equals 160.Then 1 times 5 equals 5 which also equals 160/5.Lastly you simplify it to 32.

I hope this helps.Good Luck!

Min Jee wants to build a small patio using either brick or paver stones. It will be 70 inches long and 49 inches wide. Each brick covers an area of 3 1/2 inches by 7 1/2 inches, and cost $0.59. Each paver covers an areas 8.4 inches by 8.4 inches and costs $1.88. What would be less expensive to use, and by how much?

Answers

https://brainly.com/question/283608 the answer is here and all the work too
1 Brick = 3.5 in by 7.5 in  = 26.25 sq. in. and costs $0.59
1 Paver = 8.4 in by 8.4 in  = 70.56 sq. in. and costs $1.88

patio's area 70 * 49 = 3430 sq. in.


number of Bricks to complete the Patio :

3430 / 26.25 = 130.67 round up to 131

total cost of bricks:
131 * $0.59 = $77.29

number of Pavers to complete the Patio:

3430  / 70.56 = 48.6 round up to 49

total cost of pavers:

49 * $1.88 = $92.12


 $92.12 - $77.29 = 14.83

  the bricks would cost less by $14.83

if a ball is thrown directly upward with a velocity of 40 ft/s, its height (in feet) after t seconds is represented by 40t-16t^2. what is the maximum height attained by the ball?

Answers

check the picture below.

[tex]\bf h(t)=40t-16t^2\implies h(t)=-16t^2+40t+0 \\\\\\ \begin{array}{llll} \qquad \textit{in feet}\\\\ h(t) = -16t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\textit{initial velocity of the object}\\ \qquad 40\\ h_o=\textit{initial height of the object}\\ \qquad 0\\ h=\textit{height of the object at "t" seconds} \end{cases}[/tex]

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llll} y = &{{ -16}}x^2&{{ +40}}x&{{ +0}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( \stackrel{\textit{it took this long}}{-\cfrac{40}{2(-16)}}~~,~~\stackrel{\textit{to get this high}}{0-\cfrac{40^2}{4(-16)}} \right)\qquad \stackrel{\textit{maximum height}}{0-\cfrac{40^2}{4(-16)}}[/tex]
Final answer:

The maximum height attained by the ball is 25 feet.

Explanation:

The maximum height attained by the ball can be found by determining the vertex of the quadratic equation representing the height of the ball. In the given equation 40t - 16t^2, the coefficient of t^2 is negative, indicating a parabolic shape with a maximum point. The formula for the x-coordinate of the vertex is -b/2a, which in this case is -40/(2*(-16)) = 1.25 seconds. Substituting this value into the equation gives the maximum height: 40(1.25) - 16(1.25^2) = 25 feet.

Given the values of the derivative f′(x) in the table and that f(0)=150, find or estimate f(x) for x=0,2,4,6.

Answers

Final answer:

To find or estimate f(x) for x=0,2,4,6, integrate the given derivative f'(x) with respect to x to find the constant term. Then, add each value of f'(x) in the table to the constant term to obtain the values of f(x) for x=0,2,4,6.

Explanation:

To find or estimate f(x) for x=0,2,4,6, we need to use the values of the derivative f'(x) given in the table. Since f'(x) represents the rate of change of f(x) at different values of x, we can use the derivative to find or estimate the values of f(x). Given that f(0) = 150, we can start by finding the constant term of the function using this initial condition.

To find the constant term, we need to integrate the derivative f'(x) with respect to x. This will give us the original function f(x).Integrating f'(x) gives us f(x) = 150 + C, where C is the constant term we need to find.Next, we can use the given values of f'(x) in the table to find or estimate the corresponding values of f(x) for x=0,2,4,6.Let's assume that the third column in the table represents the values of f'(x) at different values of x. We can add each value to the constant term C to obtain the values of f(x) for x=0,2,4,6.

Therefore, by integrating f'(x) and adding the constant term, we can find or estimate the values of f(x) for x=0,2,4,6.

Learn more about Finding or estimating values of a function using its derivative here:

https://brainly.com/question/31732155

#SPJ2

Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

Answers

the answer is 6 ....you just have to do the steps backwards and it will result faster.
6+5=11
11*2=22
22-6=16
16/2=8
To find Albert's original number we have to work backwards. So everything albert did we have to do the reverse.

Starting with 8:

8*2 = 16 + 6 = 22/2 = 11- 5 = 6

Now, lets check it and start from the beginning with this new number (6), and follow everything Albert did and we will get 8. 

6+5= 11*2= 22-6 = 16/2 = 8


If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n

Answers

If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n

2 + 2(4)

The minimum value of (m + 2n) is 8.95 and this can be determined by using the arithmetic operations.

Given :

If m and n are two positive real numbers whose product is 10.

Given that m and n are two positive real numbers whose product is 10 that is:

mn = 10

[tex]\rm m= \dfrac{10}{n}[/tex]   ---- (1)

The minimum value of (m + 2n) can be determined by using the following calculation.

Put the value of m in the given expression.

[tex]\rm = \dfrac{10}{n}+2n[/tex]  ---- (2)

Now for minimum value differentiate the above expression with respect to n.

[tex]\rm =-\dfrac{10}{n^2}+2[/tex]  

Now equate the above equation to zero.

[tex]\rm \dfrac{10}{n^2}=2[/tex]

[tex]\rm n = \sqrt{5}[/tex]

Now, put the value of n in equation (2).

[tex]\rm Minimum \;Value = \dfrac{10}{\sqrt{5} }+2\sqrt{5}[/tex]

                          = 8.95

The minimum value of (m + 2n) is 8.95.

For more information, refer to the link given below:

https://brainly.com/question/72395

write all names that apply to each number 121/121

Answers

121/121



one

etc

hope this helps
1/1, 2/2, 3/3, and so on.

help!! me asap!! please!!

Answers

D is the correct answer and is highlighted in the figure.
Your reponse is the correct one.  What kind of help were you hoping for?

How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?

Answers

so, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

[tex]\bf \begin{array}{lccclll} &\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\ &------&------&------\\ \textit{pure acid}&x&1.00&x\\ \textit{20\% sol'n}&6&0.20&1.2\\ ------&------&------&------\\\ mixture&y&0.90&0.9y \end{array} \\\\\\ \begin{cases} x+6=\boxed{y}\\ x+1.2=0.9y\\ ----------\\ x+1.2=0.9\left( \boxed{x+6} \right) \end{cases} \\\\\\ x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2 \\\\\\ x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}[/tex]
Final answer:

To get a 90% acid solution, you should mix 54 gallons of pure acid with the 6 gallons of the 20% acid solution.

Explanation:

To solve this problem, we can use the formula for concentration:

Concentration = (Volume of pure acid) / (Total volume of solution)

Let x represent the volume of pure acid to be added. We know that the total volume of the solution after adding the pure acid is 6 gallons + x gallons. We also know that the concentration of the 20% acid solution is 0.2.

Using the formula, we can set up the equation:

0.9 = x / (6 + x)

Multiplying both sides of the equation by (6 + x), we get:

0.9(6 + x) = x

Simplifying the equation, we have:

5.4 + 0.9x = x

Subtracting 0.9x from both sides of the equation, we get:

5.4 = 0.1x

Dividing both sides of the equation by 0.1, we get:

54 = x

Therefore, you should mix 54 gallons of pure acid with the 6 gallons of the 20% acid solution to get a 90% acid solution.

Learn more about Calculating acid concentration here:

https://brainly.com/question/29748394

#SPJ11

How many kilometers could the red car travel in 12 hours?

Answers

Cars usually on the freeway drive at 60 miles per hour or 96.56064 kilometers per hour. Speed x distance = result of kilometers or miles. In this case it is 96.56064 times 12 equals 1158.72768 kilometers per 12 hours.

Solve for x.y = mx+b

Answers

x=   b      y
     - _ +  _
       m     m
this is the answer

y = mx + b

Solve for x means to isolate x.

y - b = mx

We now divide both sides by m to isolate x.

(y - b)/m = x
Other Questions
What is the result of meiosis II?two diploid daughter cellsfour haploid daughter cellstwo haploid daughter cellsfour diploid daughter cells Find the value of 3x + 2 when 7 + x =5 Nicklaus company has decided to sell one of its old machines on june 30, 2013. the machine was purchased for $160,000 on january 1, 2009, and was depreciated on a straight-line basis for 10 years with no salvage value. if the machine was sold for $52,000, what was the amount of the gain or loss recorded at the time of the sale? Where would you expect to find an order of the musical pieces at a classical concert?Answer:A)in the program guide B)on a poster in the lobby C)listed in the personal section D)after the. Biographies What environmental change occurred that resulted in the death of many of the galpagos finches on the island daphne major? Determine whether the following events concern Hernn Corts or Francisco Pizarro A small theater had 9 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now? What actions did w.e.b. du bois take in 1900 to help africa and african american? Which system is most dependent on a normal atmospheric pressure? La direccin del colegio a efectuado compras de 2 tipos de tizas en iguales, cantidades, los profesores usan en la clase 5/6 de un tipo y los 3/4 de otro tipo Que fraccin de la cantidad quedo sin usar? What factor has the greatest impact on flexibility? What stage were most of the onion root tip cells in? does this make sense? If you were working in the field of psychoneuroimmunology, you would be studying: 1.How does trace evidence end up transferring to the crime scene, suspect, or victim? Discuss some of the ways that this might happen. Pop music has often been seen as youth music. Why do you think pop music appeals to younger individuals? How has the industry promoted this idea What value of is not allowed for an electron in an n = 3 shell? Colin drove 45 minutes to the air port. He arrived 90 minutes before his flight departed and then he spent 70 minutes in the air. Once he landed Colin spent 20 minutes gathering his language and the. He drive 35 minutes to his hotel what must be true of any expression that represents the hotel time Collin spent traveling from his house to the hotel. All of these are benefits of the railroad expansion in the early twentieth century EXCEPTmore tourism. B)growth of cities. C)improved mail service. D)cheap transportation for all. What explains the increase in Londons population from 958,863 in 1801 to 4,776,661 in 1881? A. The Agricultural Revolution led to increases in agricultural production and resulted in a greater rural population. B. Widespread disease and poor sanitation severely impacted Londons population in the early 1800s: it did not rebound until the late 1800s due to improved nutrition. C. The Industrial Revolution created more jobs and resulted in a greater urban population. D. Immigration to London from New York City sparked a massive population increase. A fisherman yanks a fish vertically out of the water with an acceleration of 2.5! !! using very light fishing line that has a breaking strength of 22 n. the fisherman unfortunately loses the fish as the line snaps. what can you say about the mass of the fish? Steam Workshop Downloader