What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x = 22 tan 31

x is approximately equal to 13.22

Step-by-step explanation:

We know from trigonometric functions that

tan A = opposite side/ adjacent side

tan 31 = x / 22

Multiply each side by 22

22 tan 31 = x

13.2189332

x is approximately equal to 13.22


Related Questions

A _______ is invested by managers in a diversity of stocks, bonds, and other securities.

Answers

Answer:

Mutual Fund

Step-by-step explanation:

A mutual fund is invested by managers in diversity of stocks, bonds and other securities. Mutual fund is an investments that help you grow your money to bigger value. Your money will be used to invest in some companies, products and services to be able to gain more.

It is an investment programmed funded by share holders that trades in diversified holdings and is professionally managed. It pols money from many investors to purchase securities. These investors could be institutional or retail in nature.

Berto invested in a precious mineral. The value of the mineral tends to increase by about 11% per year. He invests $40,000 in 2015.

How much more will his investment be worth in 2020?



Enter your answer in the box.

Round to the nearest whole dollar.

Answers

Answer:

$27402.    

Step-by-step explanation:

We have been given that Berto invested in a precious mineral. The value of the mineral tends to increase by about 11% per year. He invests $40,000 in 2015.

Let us write a function using our given information for the value of minerals.

We are told that the value of minerals increase by 11% every year, so our function will be an exponential function.

Since an exponential function is in form: [tex]y=a*b^x[/tex]; for growth b=(1+r), where r is rate of growth in decimal form.

a= Initial value.  

Let us convert our given rate in decimal form.

[tex]11 percent= \frac{11}{100}=0.11[/tex]

Let G(t) be the growth of minerals t years after 2015.

Upon substituting our given values we will get our function as: [tex]G(t)=40,000*(1+0.11)^t[/tex]

[tex]G(t)=40,000*(1.11)^t[/tex]    

To find the value of Berto's investment in year 2020 by substituting t=5 in our function as 2020-2015=5.

[tex]G(2020)=40,000*(1.11)^5[/tex]

[tex]G(2020)=40,000*1.6850581551[/tex]

[tex]G(2020)=67402.326204\approx 67402[/tex]    

Therefore, the value of his investment in 2020 will be $67402.

Let us find the difference of values of minerals between 2020 and 2015.

67402-40000=27402

Therefore, Berto's investment will be worth $27402 in 2020.

Answer:

Step-by-step explanation:

20742

The points ?( 21 21?, 24 24?) and ?( 49 49?, 56 56?) form a proportional relationship. Find the slope of the line through the points.

Answers

Answer:

80


Step-by-step explanation:


Answer:

Step-by-step explanation:

Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute. The equation has been graphed as shown.

Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

A. 100 seconds

B. 10 seconds

C. 20 seconds

D. 500 seconds

Answers

Answer:

C. 20 seconds

Step-by-step explanation:

We want to know when y=0.

We are finding the x intercepts.

The first y is when it started and the second y=0 is when it stops.

Looking at the graph y=0 at x=0 and  y=0 at x=20

The fan started at time 0 and stopped at 20 seconds.

The difference is the length of the test.

20-0 = 20

20 seconds

Answer:

20 seconds

Step-by-step explanation:

Given :

[tex]y=-5x^2+100x[/tex]

Where x  represents time in seconds and y represents the speed in rotations per minute.

To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

Solution:

Since we are supposed to find how long will it take to stop the fan completely

We assumed that  test was complete when the fan stopped spinning completely

i.e. y = Speed = 0

So, Substitute y = 0 in the equation    [tex]y=-5x^2+100x[/tex]

⇒[tex]0=-5x^2+100x[/tex]

⇒[tex]5x^2=100x[/tex]

⇒[tex]5x=100[/tex]

⇒[tex]x=\frac{100}{5}[/tex]

⇒[tex]x=20[/tex]

Thus it took 20 seconds to stop the fan

Hence the test was 20 seconds long.

Which expression is equivalent to the square root of -80?

Answers

Answer:

sqrt(-80) = 4sqrt(5)i

Step-by-step explanation:

Likely a list of answers should be provided. There are all kinds of possible answers (well 2 perhaps).

Begin by factoring 80 into prime factors.

80: 2*2*2*2*5

For ever pair of 2s, one can be taken outside the square root sign. The other one just disappears.

sqrt(80) = sqrt(2 * 2 * 2 * 2 * 5)

For every pair 2 is taken out of the root sign and the other forgotten

sqrt(2 * 2 * 2 * 2 * 5) = 2 * 2 * sqrt(5) = 4 sqrt(5)

The sqrt(-80) = 4sqrt(5)*sqrt(-1)

There is no real number that can be written as the sqrt(-1). So a number has been defined into existence. sqrt(-1) = i It's a definition, not a real number.

So the end result is sqrt(-80) = 4sqrt(5)i

The rectangle below has an area of x^2-6x-7x 2 ?6x?7 square meters and a width of x-7x?7 meters. What expression represents the length of the rectangle?

Answers

Answer:

[tex]x+1[/tex] meters.

Step-by-step explanation:

Let L be the length of rectangle.

We have been given that the rectangle has an area of [tex]x^{2}-6x-7[/tex] square meters and a width of [tex]x-7[/tex] meters.

Since we know that area of rectangle is the product of its length and width.

[tex]\text{Area of rectangle}=\text{Width* Length}[/tex]

[tex]\text{ Length}=\frac{\text{Area of rectangle}}{\text{Width}}[/tex]

To find the length of our given rectangle we will divide area of rectangle by width of our rectangle.

[tex]L=\frac{x^2-6x-7}{x-7}[/tex]

Let us factor out our numerator by splitting the middle term.

[tex]L=\frac{x^2-7x+x-7}{x-7}[/tex]

[tex]L=\frac{x(x-7)+1(x-7)}{x-7}[/tex]

[tex]L=\frac{(x-7)(x+1)}{x-7}[/tex]

Upon cancelling out x-7 from numerator and denominator we will get,

[tex]L=(x+1)[/tex]  

Therefore, the length of our rectangle will be [tex]x+1[/tex] meters.


Julia's frogs are 2 5 of the number of Rimma's frogs. If Rimma gives 1 2 of her frogs to Julia, what will be the ratio of Julia's frogs to Rimma's frogs?

Answers

Answer:

The required ratio is: 9:5

Step-by-step explanation:

Let the number of frog's Rimma has be x

Then Julia's will be [tex]\frac{2x}{5}[/tex]

Now, Rimma give 1/2 of her frog to Julia means now, Rimma will have [tex]x-\frac{1}{2}[/tex] frog

Then Julia's frog will be [tex]\frac{2x}{5}+\frac{1}{2}[/tex]

Now, Rimma will have [tex]x-\frac{x}{2}=\frac{x}{2}[/tex]

And Julia will have [tex]\frac{2x}{5}+\frac{x}{2}=\frac{4x+5}{10}=\frac{9x}{10}[/tex]

Hence, the ratio of Julia's frog to Rimma's frog is [tex]\frac{\frac{9x}{10}}{\frac{x}{2}}[/tex]

[tex]Ratio=\frac{9x\cdot 2}{10\cdot x}[/tex]

[tex]\Rightarrow Ratio=\frac{9}{5}[/tex]

The required ratio is: 9:5


Simplify the expression where possible.
(r ^-3 s^2 t) ^4

Answers

[tex]Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}[/tex]

To simplify the expression (r⁻³ s² t)⁴, the power of a power rule is used to obtain the result r⁻¹² s⁸ t⁴.

To simplify the expression (r⁻³ s² t)⁴, we apply the power of a power rule, which states that (ab)c = ab*c. Using this rule, we raise each factor within the parentheses to the fourth power:

r⁻³ raised to the 4th power is r⁻¹²s² raised to the 4th power is s⁸t raised to the 4th power is t⁴

Therefore, the simplified expression is r⁻¹² s⁸ t⁴.

Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains.

Let x represent the number of key chains. Let y represent the number of thumb drives.

Which inequalities are among the constraints for this situation?

Select each correct answer.




x+y≥50

x≥5y

x≤5y

x+5y≤50

y≤25

Answers

Answer:I Believe the Correct answers are:

x+5y ≤ 50

and

x+y≥50



Answer:

y ≤ 25

x ≥ 5y

x + y ≥ 50

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED AN ANSWER ASAP!!!!!!!!!!!! 30 POINTS FOR ANSWER:

Use the constant of proportionality to write a unit rate for the data in the table.
(I the constant is 45, so answer the question plz)

Write an equation to represent the relationship between time, t, and distance, d.

Answers

1t+45d


i think. could be wrong.


The constant of proportionality and Unit rate are same thing thing in this case.

Therefore the equation should be

D=45t

Sweet T saved 20% of the total cost of the Green-Eyed Fleas new album let there be fleas on earth.If the regular price is $30,how much did sweet T save

Answers


30×(1-20 percent)=24
or 30×(1+20percent)=36

Which of the following values of x makes the rational expression below undefined?
Problem : 16-x/7+x
A. 7
B. -7
C. 16
D. -16

Answers

B. -7
When the denominator equals zero, that makes it undefined

Answer:  The correct option is (B) -7.

Step-by-step explanation:  We are given to select the correct values of x that make the following rational expression undefined :

[tex]E=\dfrac{16-x}{7+x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

a rational expression is undefined at the points where the denominator becomes zero.

Therefore, the expression (i) will become undefined when

[tex]7+x=0\\\\\Rightarrow x=-7.[/tex]

Thus, the required value of x where the given expression is undefined is -7.

Option (B) is CORRECT.

In 1992, Jason bought a gallon of gas for $1.20. Yesterday, he bought a gallon of gas for $2.24. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.

Answers

Answer: 86.7%

Step-by-step explanation:

[tex]\dfrac{New - Original}{Original}[/tex]

[tex]\dfrac{\$2.24 - \$1.20}{\$1.20}[/tex]

= [tex]\dfrac{\$1.04}{\$1.20}[/tex]

= 0.867

= 86.7%

7 3/5 - 4 4/5 because I don’t know what to do with my life anymore :,)

Answers

Answer:

14/5 or 2 4/5

Step-by-step explanation:

7 3/5 = 38/5

4 4/5 = 24/5

38/5 - 24/5 = 14/5 = 2 4/5


What is the place value of 5 in 5.36

Answers

Answer:

5

Step-by-step explanation:

the five is in the ones place so you count five ones and that equals 5


Good luck!

Answer:

ones

Step-by-step explanation:

look at the pic below


−4x+3y=−2
y=x−1
​ i need x and y

Answers

Answer:

Rewrite equations:

y=x−1;−4x+3y=−2


Step: Solvey=x−1for y:

y=x−1


Step: Substitutex−1foryin−4x+3y=−2:

−4x+3y=−2

−4x+3(x−1)=−2

−x−3=−2(Simplify both sides of the equation)

−x−3+3=−2+3(Add 3 to both sides)

−x=1

−x

−1

=

1

−1

(Divide both sides by -1)

x=−1


Step: Substitute−1forxiny=x−1:

y=x−1

y=−1−1

y=−2(Simplify both sides of the equation)


Answer:

x=−1 and y=−2

Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° latitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [Use π = 3.14, and round to the nearest mile.]

A) 628 miles
B) 725 miles
C) 786 miles
D) 841 miles

Answers

Step 1.

Calculate measure of angle α:

[tex]47^o-38^o=9^o[/tex]

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

[tex]\dfrac{9^o}{360^o}=\dfrac{1}{40}[/tex]

Step 3.

Calculate the circumference of the Earth (circle):

[tex]C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi[/tex]

Step 4.

The length of arc is equal 1/40 of the circumference:

[tex]\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi[/tex]

[tex]\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi[/tex]


Answer: A) 628 miles
Final answer:

The question uses geometry and the concept of arc length to ask the distance between Seattle and San Francisco on the Earth's surface. The distance between the two cities is calculated to be 628 miles.

Explanation:

This is a mathematics problem using geometry, specifically related to the calculation of the arc length. The difference in latitudes between Seattle and San Francisco gives us the angle measurement on the sphere's surface. The difference is 47° - 38° = 9°. Since 9° is 1/40th of a full circle (360°), the arc is 1/40th of the total circumference.

So, to find the distance between the two cities, we calculate 1/40th of the circumference of the Earth (which is 2πr) by using the given radius of the Earth (4,000 miles). The calculation is 1/40 * 2 * 3.14 * 4000 = 628 miles. So, The distance between Seattle and San Francisco via the arc length on the sphere's surface is approximately 628 miles.

Therefore, the correct answer is A) 628 miles.

Learn more about Arc Length here:

https://brainly.com/question/37703789

#SPJ11

Jim wants to buy strawberries and raspberries for the company party. Strawberries cost $1.80 per pound and raspberries cost $1.95 per pound. If he only has $15 to spend on berries, which inequality represents the situation where he buys x pounds of strawberries and y pounds of raspberries?

A) 1.80x + 1.95y ≤ 15
B) 1.80x + 1.95y ≥ 15
C) 1.95x + 1.80y ≤ 15
D) 1.95x + 1.80y ≥ 15

Answers

Answer: The answer is A.


Step-by-step explanation: You cant go over the $15 limit and in answer A, the sign shows that 1.80x + 1.95y is less than or equal to 15.


the answer to this question is A

Kellan's lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cuos of water. Kellans uses 18 scoops of lemonade powder to make a batch of lemonade. How much water should he use?

Answers

28.8
4/2.5=1.6
1.6*18=28.8

6÷2(1+2)
I WILL GIVE 15 PTS TO CORRECT PERSON

Answers

Answer:

9

Step-by-step explanation:

Make sure to use PEMDAS.

[tex]6/2(1+2)\\\text{Simplify.}\\3(3)\\\text{Simplify.}\\9[/tex]

There are about 1.6 km in every mile. Write an expression to represent the approximate number of kilometers in M miles. Then use the expression to find the approximate number of kilometers in 5 miles

Answers

Answer: 1.6M kilometers, 8 kilometers


Step-by-step explanation:

Kilometers per mile times miles gives kilometers.


(1.6 kilometers / mile) × M miles = 1.6M kilometers

5×1.6 is 8

Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate boards for $5.25 per hour with a rental fee of $25. Rate of change

Answers

Answer: [tex]\bold{13\dfrac{1}{3}\ \text{hours}}[/tex]

Step-by-step explanation:

Parabola Skate Rental:   4.50x + 35

Arc Hawk Skate Rental:  5.25x + 25


If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          subtracted 4.50x from both sides

0.75x = 10           subtracted 25 from both sides          

     [tex]x=\dfrac{1000}{75}[/tex]        divided both sides by 0.75

     x = [tex]13\dfrac{1}{3}[/tex]        simplified the fraction


Hanukkah is an eight day Jewish cele bration which is observed in November or December, as determined by the Hebrew calendar. One of the symbols of Hanukkah is the menorah, a candle holder which holds nine candles. According to thed code of Jewish law, menorah can be a maximum of 20 cubits high. A cubit Is a traditional measurement equal to 18 inches. In feet, what is the maximum height of a menorah, according to the code of Jewish law?

Answers

Answer:

30 feet

Step-by-step explanation:

Interesting question.

1 cubit = 18 inches20 cubits = x1/20 = 18/x       Cross multiplyx = 20 * 18x = 360 inches.

The maximum height is 360 inches.

1 foot = 12 inchesx feet = 360 inches   Cross multiply12x = 360 * 112x/12 = 360/12x = 30

The maximum height reached was 30 feet.


If a menorah is 20 cubits high, and 1 cubit=18 inches, then simply multiply 20 by 18. 18*20=360 inches. Since there are 12 inches in 1 foot, 360/12=30. So, according to the code of Jewish law, a menorah can be 30 feet high.

Find x.

A) 2√5

B) 3√5

C) 6

Answers

Look at the picture.

ΔABC and ΔDAC are similar. Therefore the sides of the triangles are in proportion:

[tex]\dfrac{AC}{BC}=\dfrac{DC}{AC}[/tex]

AC = x

BC = 5 + 4 = 9

DC = 4

Substitute:

[tex]\dfrac{x}{9}=\dfrac{4}{x}[/tex]          cross multiply

[tex]x^2=(9)(4)\\\\x^2=36\to x=\sqrt{36}\\\\\boxed{x=6\to C)}[/tex]

What are the zeros of the quadratic function? f(z)=3z^2−11z−4 Enter your answers, as simplified fractions if necessary, in the boxes.

Answers

Answer:

z=4  and z=-1/3  are the zero's

Step-by-step explanation:

To find the zeros of the quadratic function, we need to set it equal to zero.

f(z)=3z^2−11z−4

0 =3z^2−11z−4

Now we need to factor the function

0 = (z - 4) (3 z + 1)

Then using the zero product property set each factor to zero

0 = z-4   0 = 3z+1

Now solve

0+4 = z-4+4          0 -1 = 3z+1-1

4 =z                         -1 = 3z

                                -1/3 = 3z/3

                                   -1/3 =z

Answer:

z=4  and z=-1/3

Step-by-step explanation:

Matthew and his brother Shawn play pool basketball. Each basket was worth 3 points, Matthews scores 9 points, shawn scores 6 points. What's the total number of baskets made during this game

Answers

Answer:


Step-by-step explanation:9÷3=3 +6÷3=2 for a total of 5 baskets


the units of volume are always A. cubic units B. square units C. units

Answers

Answer:

Cubic Units

Step-by-step explanation:

Self explanatory

Answer:

the units of volume are always cubic units



*Help ASAP Please! Studying for finals and I'm stuck on this question!*

7. The two small triangles in the following are similar. Find the value of x to the nearest thousandth. (See attached image.)

A) x=32, y=25.6
B) x=12, y=15
C) x=9.6, y=12
D) x=15, y=12
E) None of the above.

Answers

First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...

Ryan has three sticks of lengths 6 inches, 10 inches, and 8 inches. He wants to join the three sticks to form a right triangular base for a model. Discuss whether these sticks form a right triangle. EXPLAIN

Answers

Answer:

yes

Step-by-step explanation:

for the sticks to form a right triangle, the 3 sticks' lengths must comply w the Pythagoras theorem: hypothesis^2 = first side^2 + second side^2

hypothesis is the longest length so its 10

10^2 = 100 = 36 + 64 = 6^2 + 8^2

so the 3 sticks will form a right triangle

Answer:

6^2+8^2=10^2 so yes

Step-by-step explanation:

In order to test a triangle with lengths 6, 8 and 10 inches is right-angle or not, the Pythagoras equation should be used: a^2+b^2=c^2.

As 6^2+8^2=10^2 so yes, the three sticks will form a right-angle triangle.


Cody wants to watch a new movie that is 3 hours long. He has watched 1/6 of the movie so far. What fraction of one hour did Cody spend watching the new movie? 5th grade math

Answers

1/6 of the movie
1/6 × 3
=1/2
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