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1 year ago

A triangle has one side length of 2x

Mathematics

1 answer:

Orlov [11]1 year ago

8 0

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3

<h3>How to determine the perimeter?</h3>

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3

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The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be <em>A</em>.

Also given that Height of prism = Height of cylinder = <em>6</em>

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

<em>Area of circle</em> is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

2 years ago

Circle A has a radius of 2.0 cm. Find the radius of circle A dialated by 9.6

tia_tia [17]

2.0² * π = 12.56637...
12.56637... * 9.6 = 120.6371579...
120.6371579.. / π = 38.4
√38.4 = 6.196773354... --> the radius of circle A dialated by 9.6 = 6.2 cm

7 0

2 years ago

Help me please so I can turn this in

Ber [7]

Answer:

10y-12

Step-by-step explanation:

3 0

2 years ago

eduard

Answer:

Step-by-step explanation:

10+6=16

5 0

3 years ago

What times 5 equals 70?

Viefleur [7K]

5n =70
5 x 14 = 70
hope this helped :)

3 0

3 years ago

Read 2 more answers