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3 years ago

A cube has a surface area of 486 square meters. Find the volume of the cube.

Mathematics

2 answers:

joja [24]3 years ago

7 0

486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729

AVprozaik [17]3 years ago

6 0

The surface area of a cube is:

A=6s^2 so we can say:

s=√(A/6)=(A/6)^(1/2)

The volume of a cube is:

V=s^3, using s found above we have:

V=(A/6)^(1/2)^3

V=(A/6)^(3/2), and A=486 so

V=(486/6)^(3/2)

V=81^(3/2)

V=729 m^3

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Mrs. Flynn baked 6 more cookies than Mrs. Jones did. If together they baked 42 cookies, how many did Mrs. Jones bake?

galben [10]

Answer:

Mrs. Jones baked 18 cookies

Mrs. Flynn baked 24 cookies

Step-by-step explanation:

42-6=36(to find 2x the number mrs jones baked)

36/2=18(how cookies baked by mrs jones)

18+6=24(how many mrs flynn baked)

8 0

2 years ago

Complete the proofs using the most appropriate method. may require CPCTC.

n200080 [17]

For the first one, you did good. I will just suggest a couple things.

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Problem 2: (You also have a lot of great stuff here.)

Statement Reason

DE ║ FG Given

DE ≅ FG Given

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3 0

3 years ago

Please answer this correctly

Gala2k [10]

Answer:

Step-by-step explanation:

7 more waiters than cooks

w = 7 + c

w = 7 + 6

w = 13

5 0

2 years ago

Given h(x) = -5x + 3, find h(5).

cluponka [151]

Answer:

h(5) = -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = -5x + 3

h(5) is x = 5

Step 2: Evaluate

Substitute in x [Function]: h(5) = -5(5) + 3
Multiply: h(5) = -25 + 3
Add: h(5) = -22

8 0

2 years ago

2x + y = 12 4x - 3y = 2

7nadin3 [17]

Answer:

The value of x for equation is 3.4

The value of y for equation is 5.2

Step-by-step explanation:

Given as :

The two linear equation are

2 x + y = 12 ........A

4 x - 3 y = 2 .........B

Now, Solving both equations , we get

3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2

Or, 6 x + 3 y + 4 x - 3 y = 36 - 2

Or, (6 x + 4 x) + (3 y - 3 y) = 34

Or, 10 x + 0 = 34

∴ x = $\dfrac{34}{10}$

i.e x = 3.4

So, The value of x for equation , x = 3.4

Put the value of x into eq A

∵ 2 x + y = 12

Or, y = 12 - 2 x

Or, y = 12 - 2 × 3.4

Or, y = 12 - 6.8

∴ y = 5.2

So, The value of y for equation , y = 5.2

Hence, The value of x for equation is 3.4 and The value of y for equation is 5.2 Answer

4 0

3 years ago