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3 years ago

Use the figure and flowchart proof to answer the question:

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

Answer:

tSubstitution Property of Equality

Step-by-step explanation:

I took the test and that was the answer

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Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

8 0

3 years ago

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long

Ne4ueva [31]

We are given

Jim's backyard:

Length is

$L=15\frac{5}{6} =\frac{95}{6} yards$

width is

$W=10\frac{2}{5} =\frac{52}{5} yards$

Since, this is rectangle

so, we can find area of rectangle

$A=L*W$

$A=(\frac{95}{6})*(\frac{52}{5})$

$A=\frac{494}{3} yard^2$

Area of one sod:

length is

$l=1\frac{1}{3} =\frac{4}{3} yards$

width is

$w=1\frac{1}{3} =\frac{4}{3} yards$

Since, it is rectangle in shape

so,

$Area=l*w$

$A=\frac{4}{3}*\frac{4}{3}$

$A=\frac{16}{9}yard^2$

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

$N=\frac{\frac{494}{3} }{\frac{16}{9} }$

now, we can simplify it

$N=\frac{741}{8}$ pieces need ..............Answer

7 0

3 years ago

Help plzz division math prob

leva [86]

g(x) = x - 3 = 0

g(x) = x = 3

f(x) = 2x^3 + x - 4

f(3) = 2(3)^3 + 3 - 4

f(3) = 2(27) - 1

f(3) = 54 - 1

f(3) = 53

The remainder when f(x) is divided by x - 3 is 53.

3 0

2 years ago

How many pounds of walnuts that cost $0.80 per pound must be mixed

jeyben [28]

Answer:

kt 5.20 yes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given f (x) = 3x - 5 find f (x - 2)

antiseptic1488 [7]

Answer:

3x-11

Step-by-step explanation:

f (x) = 3x - 5

f(x-2)

Replace x in the function with x-2

f (x-2) = 3(x-2) - 5

=3x-6 -5

=3x-11

3 0

2 years ago