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2 years ago

The surface area of a cube is 600 cm. what is its volume? 200 1000 600 800

Mathematics

1 answer:

Studentka2010 [4]2 years ago

3 0

Answer:

1000 cm^3

Step-by-step explanation:

First, Find the side length of the cube. The surface area is all the area on the surface of a 3-dimensional object. Since a square has 6 congruent faces the formula for surface area is 6s^2 where s is the side length. Since we know the surface area we can solve for the side length.

600=6s^2- DIvide by 6

100=s^2- Take the square root of both sides.

10=s

The volume of a cube is s^3.

10^3=V

1000=V

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Lera25 [3.4K]

Answer:

Part 11) see the explanation

Part 12) The graph in the attached figure

Step-by-step explanation:

Part 11)

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y ----> the number of tickets is section B (cost $40 each)

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$50x+40y\leq 450$ ----> inequality B

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see the attached figure N 1

Three possible combinations are the points

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That means

(0,10) ----> They buy 0 seats in section A and 10 seats in section B

(5,5) ----> They buy 5 seats in section A and 5 seats in section B

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Part 12)

Let

x ----> the number of hours Kendra works as a babysitter

y----> the number of hours Kendra works providing technical support

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3 years ago

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koban [17]

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3 years ago

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2 years ago

Which is the simplified form of (9c^-9)^-3 b 1/729 c^27

rosijanka [135]

ANSWER

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

$({a}^{m} )^{n} = {a}^{mn}$

We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

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2 years ago

The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of

Naya [18.7K]

Answer:

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Step-by-step explanation:

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