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3 years ago

A right triangle has a height of 27 inches

2 answers:

5 0

405 In^2

The formula for area of a triangle is 1/2Bh. One half of the area of the base times height, because base times height is a square and triangles are half a square. Let's solve for the area now.

A=1/2Bh

Plug in our information

A=1/2(30)(27)

Multiply parentheses.

A=1/2(810)

Multiply by 1/2 or divide by two.

A=405

The area of the triangle is 405 inches squared.

ohaa [14]3 years ago

4 0

Answer:

405 $inches^{2}$

Step-by-step explanation:

Area of a triangle = $\frac{1}{2}$ Base * Height

$\frac{1}{2}$ * 30* 27 = 405 $inches^{2}$

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area

Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

$3:2$

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

$C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle$

If we define:

$C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2$

Then, the ratio of the circumference of two circles is 3:2 is:

$\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}$

The area of a circle is given by:

$A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius$

So the ratio of their area can be found as:

$\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2$

So:

$\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}$

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

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krek1111 [17]

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IRISSAK [1]

Answer:

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the other can not

Step-by-step explanation:

i hope this helped

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FIRST GETS BRAINIEST Write a story problem in which you would have to multiply 5 × (-1/3)

AveGali [126]

Answer:

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