Answer:
79.25 square inches
Step-by-step explanation:
To find the area of the figure, split it into two shapes - a rectangle and a semi-circle.
The area of a rectangle is A = b*h. Substitute b = 10 and h = 4.
A = 4*10 = 40.
The area of a semi-circle is A =1/2 πr². Substitute r = 5 since the diameter is 10.
A =1/2 π5² = 12.5π = 39.25.
Add the two areas together.
39.25 + 40 = 79.25
Cheryl went on a 3-hour train ride the train traveled at an average speed of 75 miles per hour what was the total distance in miles that Cheryl traveled
A: 225
B: 215
C: 25
D: 72
The answer is A: 225
A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Find the speed of the motorboat in still water if the speed of the current is 2 km/hour.
Answer:
18 km/h
Step-by-step explanation:
Let S km be the distance between ports M and N, x km/h be the speed of the motorboat in still water. Then x-2 km/h is the speed of the motorboat upstream and x+2 km/h is the speed of the motor boat downstream.
1. The motorboat traveling downstream covers the distance between port M and port N in 6 hours, then
[tex]\dfrac{S}{x+2}=6[/tex]
2. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Then
[tex]\dfrac{S-40}{x+2}+\dfrac{S-40}{x-2}=9[/tex]
From the first equation [tex]S=6(x+2)=6x+12.[/tex] Substitute it into the second equation:
[tex]\dfrac{6x+12-40}{x+2}+\dfrac{6x+12-40}{x-2}=9,\\ \\\dfrac{6x-28}{x+2}+\dfrac{6x-28}{x-2}=9.[/tex]
Now
[tex]\dfrac{(6x-28)(x-2)+(6x-28)(x+2)}{(x-2)(x+2)}=9,\\ \\(6x-28)(x-2+x+2)=9(x^2-4),\\ \\(6x-28)\cdot 2x=9x^2-36,\\ \\12x^2-56x-9x^2+36=0,\\ \\3x^2-56x+36=0,\\ \\D=(-56)^2-4\cdot 3\cdot 36=2704,\\ \\x_{1,2}=\dfrac{56+\sqrt{2704}}{2\cdot 3}=\dfrac{56\pm52}{6}=\dfrac{2}{3},\ 18.[/tex]
The speed of the motorboat cannot be less than the speed of the current, thus, x=18 km/h.
The speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.
Suppose the distance between port M and N =d
Suppose the speed of the motorboat in still water =x
The speed of the current =2 km/h (given)
So, the downstream speed of the boat = (x+2)
Upstream speed of the boat = (x-2)
What is speed?Speed is the distance covered in unit time.
According to the question, a motorboat travelling downstream covers the distance between port M and port N in 6 hours.
This means, [tex]\frac{d}{x+2} =6[/tex]
So, [tex]d=6(x+2)[/tex]
Distance covered by the motorboat when the motorboat stopped 40 km before reaching N = d-40
=[tex]6(x+2)-40[/tex]
=[tex]6x-28[/tex]
So, [tex]\frac{6x-28}{x+2} + \frac{6x-28}{x-2} =9[/tex]
So, [tex]x=18[/tex]
[tex]x=\frac{2}{3}[/tex](not possible)
Therefore, the speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.
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please help me question 1-4
The midsegment is half the length of the base.
1) 32 ÷ 2 = 16
So, 16 is the midsegment
2) 11 ÷ 2 = 5.5
So, 5.5 is the midsegment
3) 32 ÷ 2 = 16
So, 16 is the midsegment
4) 14 ÷ 2 = 7
So, 7 is the midsegment
Find the value of the variables leave answer in simplest radical form
Answer:
The Answer is 8
Step-by-step explanation:
1) C2-B2=A2
C2=100 because 10 squared is 100 or 10x10= 100
B2=36 because 6 squared is 36 or 6x6=36
2) Subtract
100-36=64
√(64)=8
Your answer is 8.
Hopes this helps!Answer:
The Answer is 8
stan needs 90 points to get a passing grade in class. He already has6 points. If each book report is worth 7 points, what is the fewest number of book reports Stan can do and still pass the class?
Answer:
12
Step-by-step explanation:
6 + 7n = 90
n = number of book reports
6 + 7n = 90
7n = 84
n = 12
12 book reports
stan needs to report at least 12 books to get passing marks.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, stan needs 90 points to get a passing grade in the class. He already has6 points.
Let "x " be the number of books he Reports.
Since each book report is worth 7 points.
Thus, if he reports x books he will get = 7 * x points
Since he already has 6 points
So, the total points stan has for reporting x books = 7x + 6
Thus inequality,
7x + 6 ≥ 90
=> 7x + 6 ≥ 90
=> 7x ≥ 84
=> x ≥ 12
therefore, stan needs to report at least 12 books to get passing marks.
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A is directly proportional to B when A =12 and B =3
A.)find a formula for A in terms of B
B.)find the value of A when B =5
C.)find the value of B when A =36
A) To find A in terms of B, we need to find A = xB. One given is A = 12 and B = 3. We substitute, which gives us 12 = x4. Divide both sides by 4, which gives us x = 3. This means that A = 3B.
B) For this, we can just plug in 5 as B in our equation. A = 3*5 -> A = 15.
C) We can plug in A as 36. 36 = 3B -> B = 12.
A.) The formula for A in terms of B is A = 4B. B.) When B = 5, A = 20. C.) When A = 36, B = 9.
Explanation:A.) To find the formula for A in terms of B, we can set up a proportion using the given values. Since A is directly proportional to B, we can write the proportion as A/B = k, where k is the constant of proportionality. Substituting the values A = 12 and B = 3, we have 12/3 = k. Solving for k, we find k = 4. Therefore, the formula for A in terms of B is A = 4B.
B.) To find the value of A when B = 5, we can substitute B = 5 into the formula A = 4B. A = 4(5) = 20.
C.) To find the value of B when A = 36, we can rearrange the formula A = 4B to solve for B. Dividing both sides by 4, we get B = A/4. Substituting A = 36, we have B = 36/4 = 9.
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factor completely:
4x²-8
4(xsquared -2) thats the answer
So, this is technically (4x×4x)-8. Therefore, the answer is 16x-8.
write a ratio to represent the scale used in the drawing
To represent the scale of a drawing in ratio, if the length in drawing is a, and the matching length on the real thing is b, the ratio of the scale of the drawing is a:b.
The drawing is missing, however, here is a clue to solving a problem like this.
What is Scale of a Drawing?Scale of a drawing can be represented as a ratio.The scale in ratio, shows the length in the drawing, followed by a colon, ":", and then corresponding actual length in real life.Therefore, to represent the scale of a drawing in ratio, if the length in drawing is a, and the matching length on the real thing is b, the ratio of the scale of the drawing is a:b.
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You are looking for your first credit card...?
Answer:
You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a. No annual feeb. Low APR
c. Generous rewards program
d. No balance transfer fee
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. f(x)=x^2+4/4x+3 g(x)=|x+4|
Answer:
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Step-by-step explanation:
To easily solve this question, we use a graphing tool, or a calculator to plot each graph.
The solution of the system of equations corresponds to the intersection between both graphs
f(x)=x^2 + 4/4x + 3
g(x)=|x+4|
Please see image below
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Graphical methods or numerical methods such as Newton's method are used to approximate the solution(s) to the system of equations represented by f(x) and g(x) to the nearest tenth of a unit.
Explanation:To approximate the solution(s) to the given system of equations f(x) = x^2 + 4 / (4x + 3) and g(x) = |x + 4| using technology, one can employ a graphing calculator or graphing software. By plotting both functions on the same set of axes, the point(s) of intersection represent the solution(s) to the system. To find the approximate solution to the nearest tenth, it may be necessary to use the graph's zoom and trace features to accurately determine the x-values where the two graphs intersect.
If this graphical method is insufficient, numerical methods such as Newton's method can provide a more precise approximation.
How many students watch less than 3 hours of tv a day
7 students watch less than 3 hours of tv a day.
Hope this helps.
You should just count the x's in slots 0, 1, and 2, so the answer should be 7 (or however many those 7 x's represents)
A peach has 85 calories. It has w calories more than an orange. Write an expression for the number of calories in an orange. "MUST show work"
Answer:
Step-by-step explanation:
Let p represent the number of calories in a peach and g the number of calories in an orange.
Then p = g + w.
From this we get g = p - w.
In words: "The number of calories we get from an orange is equal to p, the number of calories from a peach, less w calories."
Marco left his house and went to the sporting goods store to buy a basketball. He then went to jays house. Together the boys headed to the park along the route shown. How far did Marco travel in all?
The map tells you 1 inch = 0.5 miles.
Multiply each dimension on the map by 0.5 to get the miles, then add them together:
House to Sports store = 2 x 0.5 = 1 mile.
Sports store to Jay's house = 3.75 x 0.5 = 1.875 miles.
Jay's house to park = 1.5 + 0.5 = 2 inches x 0.5 = 1 mile.
Total distance = 1 + 1.875 + 1 = 3.875 miles.
The total distance covered in miles is; 3.875 miles
What is the total distance travelled?From the map, we see that;
1 inch = 0.5 miles.
Now, total distance in inches is;
D = 2 + 3.75 + 1.5 + 0.5
D = 7.75 inches
Using the given conversion rate to miles, we have;
D = 7.75 * 0.5
D = 3.875 miles.
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Somebody please help me idk what to do ♂️♂️
Answer:
21
Step-by-step explanation:
Note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
5! = 5 × 4 × 3 × 2 × 1
2! = 2 × 1
Hence
cancel 5 × 4 × 3 × 2 × 1 on numerator/ denominator, leaving
[tex]\frac{7(6)}{2(1)}[/tex] = [tex]\frac{42}{2}[/tex] = 21
Does the graph of the function y–x^2=9 intersect the following. If the answer is ‘yes’, determine the coordinates of the points of intersection the y axis
Answer:
The function intersects the y-axis at point (0.9) (vertex)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
if a>0 then the parabola open upward (vertex is a minimum)
In this problem we have
[tex]y-x^2=9[/tex] -----> [tex]y=x^2+9[/tex]
This is a vertical parabola open upward
The vertex is the point (0,9)
The vertex is a minimum
see the attached figure to better understand the problem
The graph does not intersect the x-axis (the function has no real roots)
The function intersects the y-axis at point (0.9) (vertex)
Solve the following system of equations.
-3x + 5y =85
x + 4y =34
A. x = 2, y = 18.2
B. x = 11, y = -10
C. x = -10, y = 11
D. x = 8, y = 6.5
Answer: option C
[tex]x=-10\\y=11[/tex]
Step-by-step explanation:
You can apply the elimination method:
- Multiply the second equation by 3.
- Add both equations to cancel out the variable x.
- Solve for y:
[tex]\left \{ {{-3x+5y=85} \atop {(3)(x+4y)=34(3)}} \right.\\\\\left \{ {{-3x+5y=85} \atop {3x+12y=102}} \right.\\-------\\17y=187\\y=11[/tex]
- Substitute y=11 into any of the original equations ans solve for x. Then:
[tex]x+4(11)=34\\x=34-44\\x=-10[/tex]
The answers are:
[tex]x=-10\\y=11[/tex]
Why?We can solve system of equations using several methods, but the simplest way to solve it, is isolating variables in terms of another variables.
So, isolating "x" from the second equation we have:
[tex]x + 4y =34\\x=34-4y[/tex]
Then, substituting "x" into the first equation, we have:
[tex]-3(34-4y) +5y =85\\-102+12y+5y=85\\17y=85+102\\17y=187\\y=\frac{187}{17}=11\\[/tex]
Now, substituting "y" into the second equation to calculate "x", we have:
[tex]x + 4(11) =34\\x=34-44\\x=-10[/tex]
So, the solutions for the system of equations are:
[tex]x=-10\\y=11[/tex]
Have a nice day!
find the surface area of the figure
Answer:
The answer is 165 in.
Step-by-step explanation:
The first shape (On the right) has a length of 3in. If you look at the top. and the height is 9in. Now you can find the width by looking at the other shape on the left and its width is 3in. Good thing the width on that shape matches the width on the right shape. so now you multiply 3, 3, and 9 and you get 81.
Now you look at the shape on the left. We already know the width which is 3in. and the height is 4in. to find the length don't look at the 10in. the 10 is the 1st and 2nd shape put together. look at the top of the shape on the left and there is a 7. That 7 is your length. now you multiply 7, 3, and 4 and you should get 84. Now you add 84 and 81 and you are left with the answer of 165in squared.
The total surface area of the two cubical figures is A = 224 inches²
What is the surface area of cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The total surface area of the cuboid is given by the formula
Surface Area = 2 ( LH + LW + HW )
where ,
Length of the cuboid = L
Width of the cuboid = W
Height of the cuboid = H
Given data ,
Let the surface area of the figure be represented as A
Now , let the surface area of the first cuboid be A₁
And , let the surface area of the second cuboid be A₂
On simplifying the equation , we get
The surface area of the cuboid A₁ = ( 3 x 4 ) + 2 ( 7 x 3 ) + 2 ( 7 x 4 )
The surface area of the cuboid A₁ = 12 + 42 + 56
The surface area of the cuboid A₁ = 110 inches²
And ,
The surface area of the cuboid A₂ = 2 ( 3 x 3 ) + 3 ( 9 x 3 ) + ( 5 x 3 )
The surface area of the cuboid A₂ = 18 + 81 + 15
The surface area of the cuboid A₂ = 114 inches²
So , the total surface area of the figure A = surface area of the cuboid A₁ + surface area of the cuboid A₂
The total surface area of the figure A = 110 inches² + 114 inches²
The total surface area of the figure A = 224 inches²
Hence , the total surface area of the figure A = 224 inches²
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What number is 100% of 113. Help me please
100% is always the full number so 113 is your answer
Hope this helps and have a blessed day
Answer:
88.5
Step-by-step explanation:
100:113*100 =
(100*100):113 =
10000:113 = 88.5
Veronica is filling a bag with marbles. She fills the bag with 8 green marbles for every 6 red marbles. The table below shows the numbers of green and red marbles she used.
Green Marbles 8 12 16 20
Red Marbles 6 9 12 15
Using the information from the table, choose the correct statement.
A.
The ratio of the number of red marbles to the total number of marbles is 7:3.
B.
There are 4 green marbles, for every 3 red marbles.
C.
For each red marble, there are 2 green marbles.
D.
The ratio of the number of green marbles to the total number of marbles is 4:3.
Answer: Off the top of my head, I can see that B is a correct statement.
Step-by-step explanation: 4 x 2 = 8
3 x 2 = 6
this multiplication shows that statement B is true.
Compare the algebraically expressed function f(x) = - 5 2 x2 - 8x to the function shown in the graph to determine which statement is true. A) The algebraic function has a greater maximum value. B) The algebraic function has a lower minimum value. C) The graphed function has a greater maximum value. D) The graphed function has a lower minimum value.
After evaluating the given information about the algebraic and graphed functions, we can conclude that the algebraic function f(x) = -5x^2 - 8x, which is a downward-opening parabola, has a greater maximum value than the graphed function in question. Therefore, the correct answer is option A.
Explanation:To compare the algebraically expressed function f(x) = -5x^2 - 8x with a given graphed function, we need to look at their respective shapes and key features. Since f(x) is a quadratic function with a negative coefficient for the x^2 term, it is a downward-opening parabola that will have a maximum value. Without more information about the graphed function, we can still analyze the given description to ascertain its nature.
Based on the given statements, let's identify which function has a greater maximum or a lower minimum value:
A graphed function represented as a horizontal line from x = 0 to x = 20 implies a constant function with the same value across this interval, and therefore it cannot have a greater maximum or lower minimum value than any other function.Option 75 suggests a function with a positive value and positive slope decreasing with increasing x which would not have a maximum value given it's continuously increasing.The given declining curve with a positive value at x = 0 indicates a decaying exponential function. Its maximum value is at x = 0 since the function is decreasing as x increases, making statement B an appropriate comparison.Lines that are increasing or decreasing in steepness don't provide clear information about their maximums or minimums without additional context.In conclusion, given that f(x) = -5x^2 - 8x is a downward-opening parabola with a definite maximum value, and none of the provided statements about the graphed function suggest it has a maximum value higher than a constant value or a parabola, we can conclude that:
The algebraic function has a greater maximum value, so the correct answer would be option A.
The graphed function has a greater maximum value. The algebraic function's downward-opening parabola indicates a maximum value, and the graphed function's characteristics suggest it may have a higher maximum (option c).
Explanation:To determine the maximum values of the algebraic function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] and the graphed function, we need to analyze the coefficient of the quadratic term in the algebraic expression. The quadratic term is [tex]\(-\frac{5}{2}x^2\)[/tex], and since the leading coefficient is negative, the parabola opens downwards. This means that the algebraic function has a maximum value, and the coefficient [tex]\(-\frac{5}{2}\)[/tex] determines the concavity.
Comparatively, the graphed function on the graph may have a different leading coefficient, affecting the concavity. If the graphed function has a positive leading coefficient, it opens upwards, suggesting a minimum value. Conversely, if it has a negative leading coefficient, it opens downwards, indicating a maximum value (option c).
In the case of the given options, statement C is correct. The graphed function has a greater maximum value because the leading coefficient of the quadratic term in the algebraic function is negative, resulting in a downward-opening parabola with a maximum point. Therefore, the graphed function, depending on its characteristics, may exhibit a greater maximum value.
The complete question of the given answer is:
Compare the algebraically expressed function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] to the function shown in the graph to determine which statement is true.
A) The algebraic function has a greater maximum value.
B) The algebraic function has a lower minimum value.
C) The graphed function has a greater maximum value.
D) The graphed function has a lower minimum value."
pierre bounce a ball for 1/3 of his recess time he threw the ball in the air and caught it 3/6 of the time he carrie it the rest of the time what fraction of his recess time did he carrie the ball
Answer: [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Let's call the time he carried the ball: t
You know that he bounced the ball for 1/3 of his recess.
You also know that he threw the ball in the air and caught it 3/6 of the time.
Therefore, to solve the exercise you only need to add both fractions, as you can see below. Therefore, the result is:
[tex]t=[/tex][tex]\frac{1}{3}[/tex]+[tex]\frac{3}{6}[/tex]
[tex]t=[/tex][tex]\frac{5}{6}[/tex]
(08.06)
Jamie is 5 years older than Ella. Jamie's age is 11 years less than three times Ella's age. The system below models the relationship between Jamie's age (j) and Ella's age (e):
j = e + 5
j = 3e − 11
Which of the following methods is correct to find Jamie's and Ella's age?
Solve j + 5 = 3j − 11 to find the value of j.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Solve e + 5 = 3e − 11 to find the value of e.
Answer:
Solve e + 5 = 3e − 11 to find the value of e
Step-by-step explanation:
Let
j------> Jamie's age
e----> Ella's age
we know that
[tex]j=e+5[/tex] -----> equation A
[tex]j=3e-11[/tex] -----> equation B
equate equation A and equation B and solve for e
[tex]e+5=3e-11[/tex]
[tex]3e-e=5+11[/tex]
[tex]2e=16[/tex]
[tex]e=8[/tex]
Find the value of j
[tex]j=8+5=13[/tex]
Jamie's age is 13 years old
Ella's age is 8 years old
155% of what number is 44?
Answer:
28.4
Step-by-step explanation:
Translate the statement into an equation, and then solve the equation.
Let x be the number we are looking for.
155% of what number is 44?
155% of x is 44
In math "of" usually means multiplication.
155% * x = 44
To change a percent to a decimal, divide by 100 which means move the decimal point 2 places left. 155% = 155/100 = 1.55
1.55x = 44
Divide both sides by 1.55 to solve for x.
1.55x/1.55 = 44/1.55
x = 28.4
Answer: 28.4 (rounded to the nearest tenth)
A line is parallel to the y-axis on a coordinate plane. Which best describes the slope of the line
Answer:
well if it is parallel it would but 2 lines going in the same direction. it will never touch
Step-by-step explanation:
Answer:
The slope of this line is undefined.
Explanation:
The slope of a line is rise over run, where the rise is the change in y value and the run is the change in x. Since there is no change in x when a line is parallel to the y-axis, any slope would mean you would divide by 0.
[tex]m=\frac{rise}{run}\\m = \frac{rise}{0} \\m= \frac{anything}{0}\\[/tex]
Since you cannot divide by 0 the answer will always be undefined no matter what the numerator is. The slope of any vertical line will be undefined.
Use the distributive property to simplify the expression 8(5x-9)
Answer:
[tex]40x-72[/tex]
Step-by-step explanation:
we have
[tex]8(5x-9)[/tex]
Applying the distributive property
taking the outer term and multiplying it by each term inside the parenthesis
so
[tex]8(5x-9)=8*5x-8*9[/tex]
[tex]40x-72[/tex]
Answer:
[tex]8(5x - 9) = 40 x - 72[/tex]
Step-by-step explanation:
Let a, b, and c be any real number. Then
[tex]a(b + c) = ab + bc[/tex]
This is called the distributive property.
The given expression is
[tex]8(5x - 9)[/tex]
Or
[tex]8(5x + - 9)[/tex]
Let a=8, b=5x and c=-9
We apply the distributive property to obtain:
[tex]8(5x - 9) = 8 \times 5 x + 8 \times - 9[/tex]
We simplify to get:
[tex]8(5x - 9) = 40 x - 72[/tex]
Which is bigger -2/3 -2/8
Answer:
-2/8
Step-by-step explanation:
Since both numbers are negative we want to find which ever is closer to 0. -2/8 is -1/4 which is closer to 0 then -2/3 so -2/8 is larger
Which is the simplified form of
Answer: [tex]\frac{1}{r^{7} } +\frac{1}{s^{12} }[/tex]
Step-by-step explanation:
With negative powers, [tex]r^{-7} = \frac{1}{r^{7} }[/tex]
do the same for s too
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]r^{-7} + s ^{-12}[/tex]
We can rewrite it as:
[tex]\frac {1} {r ^ 7} + \frac {1} {s ^{ 12}}[/tex]
Finally:
[tex]r ^ {- 7} + s ^ {- 12} = \frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]
Answer:
Option D
What are the zeros of the function f(x)=x2+12x+38
Answer:
The zero would be -2.714 (x-intercept)
Carmen sold 600 liters of soda at a baseball game. How much is this in milliliters? Be sure to include the correct unit in your answer.
Answer:
600,000 mL
Step-by-step explanation:
Since there is 1,000 mL in 1 L, 600 L = 600,000 mL.
If Carmen sold 600 liters of soda, then he would have sold 600000 milliliters of soda. 1 liter= 1000 milliliters
Find the length of AC. Express your answer in terms of pi.
Answer options: 5, 30, 45, 15.
Answer:
The correct answer is 3πcm
Step-by-step explanation:
The length of an arc is calculated using the formula P=∅/360×2πr
where ∅is the angle the arc subtends at the center of the circle, and r is the radius of the circle of which the arc is part.
2r gives the diameter which from the diagram corresponds to AB=36 cm
therefore P=30/360×π×36
=3πcm
5pi is the answer
..............................