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3 years ago

15

A rectangular prism measures 4 cm by 5 cm by 6 cm. What is the volume?

1 answer:

Mazyrski [523]3 years ago

7 0

The answer is 120 !:!.!.!.. an

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Fernando followed two diagonal paths, Paths 1 and 2, to get from his house, F, to a neighborhood corner store, C, as shown below

aleksandrvk [35]

Answer:

42 meters

Step-by-step explanation:

Given

See attachment for complete question

Required

Calculate distance FC

FC is calculated as:

$FC = Path\ 1 + Path\ 2$

Where

$Path\ 1 = FB$

$Path\ 2 = BC$

Considering $\triangle FEB$ , we have:

$FB^2 = FE^2 + BE^2$ --- Pythagoras theorem

Where

$FE = FD - BA$

$FE = 22m - 15m$

$FE = 7m$

and

$BE = CD - CA$

$BE = 32m - 8m$

$BE = 24m$

So:

$FB^2 = FE^2 + BE^2$

$FB^2 = 7^2 +24^2$

$FB^2 = 49 +576$

$FB^2 = 625$

Take square roots of both sides

$FB = 25$

So:

$Path\ 1 = 25$

Considering $\triangle BAC$ , we have:

$BC^2 = BA^2 + AC^2$ --- Pythagoras theorem

Where:

$BA = 15$ and $AC = 8$

So, we have:

$BC^2 = 15^2 + 8^2$

$BC^2 = 225 + 64$

$BC^2 = 289$

Take square roots of both sides

$BC = 17$

So;

$Path\ 2= 17$

Recall that:

$FC = Path\ 1 + Path\ 2$

$FC = 25 + 17$

$FC = 42$

6 0

3 years ago

Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length

Aloiza [94]

Answer:

$Total = \$7800$

Step-by-step explanation:

Given

$Cost = \$32.50$ per square yard

$Length = 432.0ft$

$Width = 5.0ft$

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

$Area = Length * Width$

$Area = 432.0ft * 5.0ft$

$Area = 2160ft^2$

Convert to square yard

$Area = \frac{2160yd^2}{9}$

$Area = 240yd^2$

The cost is then calculated as:

$Total= Area * Unit\ Cost$

$Total = 240 * \$32.50$

$Total = \$7800$

6 0

3 years ago

PLEASE HELP! will mark brainliest!!

lakkis [162]

Answer:

your answer will be 11 for that question

8 0

3 years ago

Which expression represents "subtract 5 from 10 then multiply by 4"?

Andre45 [30]

Answered by Mimiwhatsup: (5 - 10) 4

The parenthesis indicate anything on the outside that doesn't have a plus or minus or division symbol indicates to multiply.

5 0

3 years ago

What is answer? A,b,c,d

NNADVOKAT [17]

The answer to your question is D.

3 0

3 years ago

Read 2 more answers