What is the TOTAL area of polygon


The total area is__________square centimeters.

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]

"Cross multiply" to get

[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer:

B

Step-by-step explanation:

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

Answer: 28 inches

Step-by-step explanation:

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer:

[tex]\frac{1}{2}[/tex] and [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Coefficients are simply the numerical constants "attatched" (being multiplied by) [to] the variables.

Answer:

-4

-1

2

5

8

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

Distance covered = 30 km

Usual Speed of both = 10km/hr

Justin's speed = 1/2 * 10 = 5km/hr

Ari's speed = 3/2 * 10 = 15 km/hr

Time taken = distance / speed

Justin's time = 30 / 5 = 6 hours

Ari's time = 30 / 15 = 2 hours

Time difference = (6 - 2) = 4 hours

Answer:

It means that the value of N is 5

Step-by-step explanation:

so if you have X on a picture and on the top it says X = 5 that would indicate that it means it has a value of 5

Answer:

D. relation is a function

hope this helps :-))

Answer:

d

Step-by-step explanation:

Answer:

11N

Step-by-step explanation:

Answer:

11n

Step-by-step explanation:

Over here we are saying

n+n+n+n =4n

n+n+n+n+n+n+n = 7n

so if we add these together we get 11n

Answer:

9) A. 1 to 2

8) B. 32

Step-by-step explanation:

9) 2 + 4 + 6 = 12 total balls

ratio of golf balls to total is 6:12, which = 1:2

8) 0.75 = 24/x

x = 24(.75) = 32

Answer:

16.3333333 is the correct answer.

7) 20y-8=52

20y=60

y=3

11)2x+17=5x-4

21=7x

x=3

12)2x+7=16-4x

6x=9

x=9/6

x=3/2

x=1.5

14)8y+4=24-2y

10y=20

y=2

15)7-3x=2x+2

5=5x

x=1

16)

[tex] \frac{x - 3}{2} = 5 \\ x - 3 = 10 \\ x = 13[/tex]

Answer:

C = 2pi(r)

= 2pi(5)

≈ 31.416

≈ 31.4

Answer:

Hello! answer: 31.4

Step-by-step explanation:

I'm using 3.14 for pi and

To find circumference you just have to do diameter × pi or radius × 2 × pi since we have the radius we can just do radius × 2 × pi so

5 × 2 × 3.14 = 31.4 so our circumfrence is 31.4 Hope that helps!!

Answer:21

Step-by-step explanation:

Add them all up

The number of students who collect more than one coin is 12.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

Given that, Mr. Petersen counted the number of coins collected by the students in his coin club and prepared the line plot.

We need to find how many students collected more than 1 coin,

Here each X represents a student,

The numbers of mark X above 2 and 3 = 4 and 8

Therefore, total students = 12

Hence, the number of students who collect more than one coin is 12.

Learn more about line plots, click;

https://brainly.com/question/29573088

#SPJ2

Answer:

Step-by-step explanation:

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times h[/tex]

Where, b is the base and h is the height of the triangle.

[tex]Area=\dfrac{1}{2}\times a\times h[/tex]

The area of the triangle ABC is D.

[tex]D=\dfrac{1}{2}\times a\times h[/tex]

[tex]2D=ah[/tex]

[tex]\dfrac{2D}{a}=h[/tex]                  ...(i)

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin B =\dfrac{h}{c}[/tex]

[tex]\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}[/tex]              [Using (i)]

[tex]\sin B =\dfrac{2D}{ac}[/tex]

[tex]m\angle B =\sin ^{-1}\dfrac{2D}{ac}[/tex]            ...(ii)

We have,

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]          ...(iii)

On comparing (ii) and (iii), we get

[tex]m=2D[/tex]

[tex]n=ac[/tex]

Therefore, the required values are [tex]m=2D, n=ac[/tex].

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer: A

Step-by-step explanation:

pretty sure :)

Using the continuity concept, it is found that the function that is continuous at x = 18 is given by:

[tex]f(x) = \frac{(x - 18)^2}{x}[/tex]

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In this problem:

In the fourth function:

[tex]f(18) = 36[/tex]

[tex]\lim_{x \rightarrow 18^-} f(x) = 18^2 \neq 36[/tex]

Hence also not continuous.

You can learn more about the continuity concept at https://brainly.com/question/24637240

Answer:

1. 9.43

2. 13

3. 5

4. 10.77

Step-by-step explanation:

Answer:

1,243.88 units² I think

Step-by-step explanation:

22 x 22 = 484

A = (3.14 x 11²)2 = 759.88

759.88 + 484 = 1,243.88 units²

Answer:

Step-by-step explanation:

Tienes que multiplicar el seis y el cuatro lo que te multiplicarlo por 3,14y después dividirlo por dos

Answer:

450 cm^3   (Answer D)

Step-by-step explanation:

Volume of a rectangular box of dimensions L, W, H is V = L*W*H.  The order in which these measurements are multiplied together is immaterial.  Thus,

this particular box has volume V = (5 cm)(9 cm)(10 cm) = 450 cm^3