Answer:
what is that
Step-by-step explanation:
i don't understand the world
The answers to the questions
If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
Vc = x³ ; 49 ft³ = x³ ; x = 49^(1/3)
The volume of the pyramid is,
Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³
Thus, the volume of the pyramid is approximately 16.33 ft³.
<h3>
Answer: 7 cm</h3>
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Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
Hey there! :)
Answer:
d ≈ 3.49 units
Step-by-step explanation:
Use the distance formula for polar coordinates to determine the distance:
(The '0' is supposed to be theta)
Plug in the values given in the question. Convert radians to degrees to simplify the process.
217π/180 = 217°
-23π/36 = -115°.
Therefore:
Begin simplifying:
Solve:
d ≈ 3.49 units
