All categories

3 years ago

7.4.PS-6

Mathematics

1 answer:

Sedaia [141]3 years ago

5 0

Answer:

The area of the given polygon is:

232 cm^2

Step-by-step explanation:

To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:

Area of a rectangle = Base * height

Now, we're gonna replace the measurements in the formula.

First rectangle:

Area of a rectangle = 3 cm * 14 cm
Area of a rectangle = 42 cm^2

Second rectangle:

Area of a rectangle = 5 cm * 14 cm
Area of a rectangle = 70 cm^2

Third rectangle:

Area of a rectangle = 12 cm * 10 cm
Area of a rectangle = 120 cm^2

By last, we must add the area of the rectangles:

Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
Area of the polygon = 232 cm^2

As you can see, the area of the polygon in the picture is 232 cm^2.

You might be interested in

Which expression is equivalent to (4x^3y^5) (3x^5y)^2 ?

Liono4ka [1.6K]

(3x^5y)^2=
3^2=9
(x^5)^2=x^10
y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=
9*4=36
x^10*x^3=x^13
y^2*y^5=y^7
9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: B

7 0

3 years ago

Read 2 more answers

2. Suppose that the blood cholesterol levels of all men aged 20 to 34 follows Normal distribution with mean 188 mg/dl. You wante

borishaifa [10]

Answer:

The mean blood cholesterol level for the sample is 184mg/dl

Step-by-step explanation:

Hello!

When you construct any confidence interval for the mean, the general structure is "estimator±margin of error"

For example under a Z-distribution the formula is

X[bar]± $Z_{1-\alpha/2}$ *(σ/√n)

So you subtract or add " $Z_{1-\alpha/2}$ *(σ/√n)" to the sample mean. In other words, this type of confidence interval is centered on the sample mean.

If the interval is already calculated, you just have to add both limits and divide by two to get the sample mean.

[166mg/dl;202mg/dl]

sample mean: x[bar]= (166+202) = 184mg/dl

I hope you have a SUPER day!

6 0

3 years ago

I am actually in 4th grade but anyway I need see

FromTheMoon [43]

Sasha grew the most

6 0

3 years ago

HELP. ONLY ANSWER QUESTION 4. THANKS

Alina [70]

Answer:

A. x+30

B. x+35

Step-by-step explanation:

A. Daniel

Since "Daniel is 30 cm taller than Katie" and "Katie's height is x cm", the expression will be x+30

B. Juli (sorry I can't type the full name due to Brainly system)

Since "Juli is 5 cm taller than Daniel" and Daniel is (x+30) cm, the expression will be (x+30)+5=x+35

8 0

4 years ago

Use the table to the right to answer the following question.

zepelin [54]

The energy is compared based on the information given below.

<h3>How to illustrate the energy?</h3>

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

Learn more about energy on:

brainly.com/question/13881533

#SPJ1

The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

4 0

2 years ago