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Anastasy [175]
2 years ago
6

What is the correct answer to this geometry question?

Mathematics
2 answers:
dsp732 years ago
7 0

Answer:

Step-by-step explanation:

20 = 12 + 16 + 2x

20 - 12 - 16 = 2x

-8 = 2x

x = -4

--------------------------------

check

20 = 12 + 16 + 2*-4

20 = 20

the answer is good

andrezito [222]2 years ago
4 0

HI + IJ = HJ

=> x + 12 +  16 + x = 20

<=> 2x + 28 = 20

<=> 2x = -8

<=> x = -4

with x = -4 => HI = - 4 + 12 = 8

Step-by-step explanation:

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A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m3. What is the width?
BigorU [14]

The question is incomplete because it was not properly and correctly arranged

Complete Question:

A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m³. What is the width? A prism has a length of 7 meters, width of w, and height of 5 meters.

Which steps are correct? Check all that apply.

a) Substitute the known values into the formula: 140 = 7(w)(5).

b) Substitute the known values into the formula: 7 = 140(w)(5).

c) Substitute the known values into the formula: 5 = 7(w)(140).

d) Solve for the unknown: w = 4 m.

e) Solve for the unknown: w = 7 m.

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Answer:

a) Substitute the known values into the formula: 140 = 7(w)(5).

d) Solve for the unknown: w = 4 m.

Step-by-step explanation:

The steps that are correct are Options a) and d). This is because:

Step 1

The volume of a rectangular prism is calculated as:

Volume of a rectangular prism = Length (l) × Width(w) × Height(h)

The unit of the volume or a rectangular prism is in cubic metres (m³)

In the question, we are asked to find the unknown value which is the width and we were given the following known values:

Length = 7 m,

Height = 5 m

Volume = 140 m³

Step 2

Solve for the unknown value( Width)

Volume of a rectangular prism = Length (L) × Width(W) × Height(H)

140m³ = 7m × Width(m) × 5m

140m³ = 35m² × Width(m)

Width(w) = 140m³ ÷ 35m²

Width(w) = 4m

Hence, the unknown Width(w) = 4m

From the above explanation we can see that the correct steps is Option a) and Option d)

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