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KonstantinChe [14]
3 years ago
11

A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 545454 feet

^2 ​2 ​​ start superscript, 2, end superscript of material to build the cube. What is the volume inside the giant sugar cube?
Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

<em>The volume inside the giant sugar cube is 27 cubic feet.</em>

Step-by-step explanation:

It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²

<u>Formula for surface area of a cube</u> is:  S= 6a^2 , where a is the length of each edge of the cube.

So, we will get.........

6a^2=54\\ \\ a^2= \frac{54}{6}=9 \\ \\a= \sqrt{9}= 3

Now, <u>the volume of the cube will be</u>:  V= a^3= (3)^3 = 27 feet³

Thus, the volume inside the giant sugar cube is 27 cubic feet.

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A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many diffe
Butoxors [25]

Answer:

10 committees

Step-by-step explanation:

Let's say there names are Bob, Doris, Brenda, Alex, and Emma.

Bob and Doris

Bob and Brenda

Bob and Alex

Bob and Emma

Doris and Brenda

Doris and Alex

Doris and Emma

Brenda and Alex

Brenda and Emma

Alex and Emma

these are all different groups starting with only 5 people leading to 10 possible variations of the committee members

Hope that helps! :)

3 0
3 years ago
30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t
Pavlova-9 [17]

Answer:  22 meters

<u>Step-by-step explanation:</u>

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters.  Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x²          = 37² - 30²

x²          = 1369 - 900

x²          = 469

√x²       = √469

        x = 21.656

        x ≈ 22

3 0
3 years ago
I will be given brainliest!! 2(x + 2) + 8 = 6 Solve this equation and show all work.
arlik [135]
So distribute
2x+2+8=6
add like terms
2x+10=6
-10 -10
2x=-4
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2. 2
x=-2
8 0
3 years ago
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Is -6.5 a rational number.<br><br> pls idk and I really need help
lara [203]

Answer:

-6.5 is a rational number.

7 0
3 years ago
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What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2? Negative StartFraction 1 Over 196 EndFraction
Nookie1986 [14]

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of ((-14)^0)^{-2}

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to (1)^{-2} since (-14)^0=1

Now using the property of exponents: a^{-n}=\frac{1}{a^n}

This implies that:1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1

The correct answer is 1

5 0
3 years ago
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