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2 years ago

8

You have 512 cubic feet of chocolate pudding. You have an empty cube that you want to fill with pudding; it measures 7 feet per

side. 1. What are the dimensions of the smallest cube that you can completely fill with the pudding on hand?

1 answer:

max2010maxim [7]2 years ago

8 0

Well it would mostly be 73.14..

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Find the area of an equilateral triangle with 12-inch altitudes

Nina [5.8K]

$\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ h=12 \end{cases}\implies 12=\cfrac{s\sqrt{3}}{2}\implies 24=s\sqrt{3}\implies \cfrac{24}{\sqrt{3}}=s \\\\[-0.35em] ~\dotfill$

$\textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \qquad A=\cfrac{~~ \left( \frac{24}{\sqrt{3}} \right)^2 \sqrt{3}~~}{2}\implies A=\cfrac{~~ \frac{24^2}{3} \sqrt{3}~~}{2} \\\\\\ A=\cfrac{192\sqrt{3}}{2}\implies A=96\sqrt{3}\implies A\approx 166.28$

4 0

1 year ago

Proprietors' Income $20

kiruha [24]

Answer

I don't know

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8 0

2 years ago

Can someone help me out

Sophie [7]

Firstly, you want to multiply (f^4)^2. $\frac{2*f^8*f^2}{8f^{12}}$

Next, multiply everything on the numerator. $\frac{2f^{10}}{8f^{12}}$

Next, divide. $\frac{2f^{10}}{8f^{12}}=\frac{1}{4} f^{-2}$

Now remember that f^-2 = (1/f^2), so just convert the negative powered exponent to that, and your answer will be $\frac{1}{4f^2}$

6 0

2 years ago

What is the scale factor of the following dilation DO,K (9,6) → (3, 2)

Mars2501 [29]

(9,6)

-------- = (3,2)

3

This means that the dilation of (9, 6) to (3, 2) is (1/3(x), 1/3(y))

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

4 0

3 years ago

How far up the house would a ladder be resting if it is 25 ft long and 3 ft

Lena [83]

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625 Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616 Take the square root of both sides.

b = sqrt(616)

b = 24.8

6 0

3 years ago