Micah construct a rectangular prism with a volume of 360 cubic units the height of his prism is 10 units Micah claims that the base of the prism must be a square draw a base that shows his claim is incorrect

Answers

Answer 1

Answer: Given:
rectangular prism
volume of 360 cubic units
height is 10 units

Volume = length * width * height
360 cubic units = lw * 10 units
360 / 10 = lw
36 = lw

The only measure of the sides of a square base is 6 units. 6 is the square root of 36.

To prove that the base of the prism is not a square, its measure should be

length = 9 ; 18 ; 12
width = 4 ;   2 ; 3

V =   9 x 4 x 10 = 360
V = 18 x 2 x 10 = 360
V = 12 x 3 x 10 = 360

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You want to put some money in a simple interest account. It pays 8% interest annually for 2 years. You would like to earn $500 in interest. How much money do you need to put in?

Answers

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If two sides of a triangle are 10 units and 13 units,a possible third side for the could be?

Answers

Pythagorean theorem:

a^2+b^2=c^2

substitute:

10^2+13^2=c^2

simplify:

100+169=c^2

simplify:

269=c^2

take the square root:

c=16.4

The answer is 16.4

You sign up for 13 weeks of swim lessons. The total cost is 325$. What is the cost per week?

Answers

325 divided by 13 = 25 and to check your answer. 25 * 13 = 325 So the answer is 25 :) Hope i helped

Please help me on my homework ASAP.

Answers

For #10, the answer is 38x40 which equals 1,520.

For #12, you divide the shape into a square and a rectangle then find the area of each shape. After that, you add them together. 4x4=16 10x4=40 40+16= 56.

# 10 is 1520 because 40*38=1520
# 12 is 16 meters for the square because 4*4=16
4 meters for the rectangle because 10*4=40

Hope this helps
Good luck on the homework

G(x)=x-4 Can you evaluate this problem if so how?

Answers

You cannot evaluate for (g o f)(0). You will get an undefined answer.

(g o f)(x) tells you to plug in the f(x) function for the x-variable in the g(x) equation; so it would be like saying g(f(x)). This would result in (g o f)(x) = (1/x) - 4. Now plug in 0, (g o f)(0) = 1/0 - 4. One cannot divide by zero in order to simplify the equation and get an answer... unless an undefined answer counts, which I'm pretty sure it doesn't.

rachel uses grid paper to plan a mural to paint at her school. the design will be made of two connected rectangles. the larger rectangle will have an area between 35 square feet and 45 square feet. the smaller rectanglewill have an area between 10 square feet and 20 square feet. Draw and label a diagram to show what Rachel could plan. Explain how to find the total area.

Answers

The picture attached has two rectangles drawn side by side. The larger one has an area of 40 square feet (8 x 5), and the smaller one has an area of 10 ft.² (2 x 5).

To find the total area, you add these areas together. In math when you put two things together like in the picture, this is showing addition.

The total area represented is 50 ft.².

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