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3 years ago

What is the area of a rectangular pentagon with an apothem 14 inches long and a side 20 inches long?

Mathematics

1 answer:

ki77a [65]3 years ago

6 0

140.

Formula:

A= Perimetro x Apotema
2

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Round your answer to the nearest hundredth. ? А C 3 70° B

Anika [276]

It would be 100 degrees

7 0

3 years ago

The ratio of boys to girls in a group is 4:1. If there are 33 more boys than girls, work out how many people there are in total.

MissTica

Total number of people is 55

Step-by-step explanation:

Step 1:

Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x

⇒ 4x + x = x + 33 + x

⇒ 5x = 33 + 2x

⇒ 3x = 33

⇒ x = 11

Step 2:

Find total number of people.

33 + 2x = 33 + 22 = 55

7 0

3 years ago

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Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?

andrew11 [14]

Answer:

She will pay $1,047.12 interest for one year

Step-by-step explanation:

Simple Interest

Occurs when interest is calculated on the original principal only.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance or loan

r = interest rate

t = time

Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

$I=\$17,452*0.06 *1$

I = $1,047.12

She will pay $1,047.12 interest for one year

6 0

3 years ago

The coordinates of the vertices of a regular polygon are given. Find the area of the polygon to the nearest tenth.

alexandr1967 [171]

Answer:

The area is equal to $8\ units^{2}$

Step-by-step explanation:

we have

A(0, 0), B(2, -2), C(0, -4), D(-2, -2)

Plot the figure

The figure is a square (remember that a regular polygon has equal sides and equal internal angles)

see the attached figure

The area of the square is

$A=AB^{2}$

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$AB=\sqrt{(-2-0)^{2}+(2-0)^{2}}$

$AB=\sqrt{(-2)^{2}+(2)^{2}}$

$AB=\sqrt{8}$

$AB=2\sqrt{2}\ units$

Find the area of the square

$A=(2\sqrt{2})^{2}$

$A=8\ units^{2}$

4 0

3 years ago

Find the two missing numbers shown with an "*" in the equation.

SVETLANKA909090 [29]

I hope it’s helps i have to write more so I’m writing

5 0

3 years ago

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