Find the area of the shaded sector:

Answer:

8 cm

Step-by-step explanation:

We first want to draw a diagram with the given information.

I am unsure if the image shows below, or if it is an attachment.

We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?

So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.

So, the leg of length 4 we just found? That's half of our answer.

Since 4 × 2 = 8, we know that the length of AB is 8 cm.

Answer: 4/3

Step-by-step explanation:

Answer:

y = x+4

Step-by-step explanation:

Using the y=mx+b format, we can define the slope as 1...

1) y=1x+b or y=x+b

The y-intercept ( aka b )

2) y=x+4

Answer provided by Education Point

Answer:

[tex]\text{y = x + 4}[/tex]

Step-by-step explanation:

[tex]\text{Slope intercept form:}[/tex] [tex]\text{y = (m)x + (b)}[/tex]                  [tex]\text{[m = Slope; b = y-intercept]}[/tex]

To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.

[tex]\rightarrow \text{y = (m)x + (b)}[/tex]

[tex]\rightarrow \text{y = (1)x + (4)}[/tex]                                                            [tex]\text{[m = 1; b = 4]}[/tex]

[tex]\rightarrow\boxed{\bold{\text{y = x + 4}}}[/tex]

Learn more about slope intercept form:

Answer:

  A = 72

  B = 16

Step-by-step explanation:

Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8

Then the ratio of actual values is ...

  A : B = (9·8) : (2·8) = 72 : 16

Check: These actual values of A and B have a difference of 72-16 = 56.

  (A, B) = (72, 16)

Answer:

1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)

4 - 10

6 - 15

14 - 33

Step-by-step explanation:

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

Answer:

so we have to find what percentage 369 is of 1230

369/1230=0.3

so they save 0.7 or 70%

Hope This Helps!!!

Answer:

Step-by-step explanation:

1,230/569= 3.3 or 87-89%

Answer:

Exactly one solution.

Step-by-step explanation:

When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.

Answer:

B

Step-by-step explanation:

23y+50+27y=50y+50

find your same like terms and solve

23y+27y+51y

51y+50=50y+50

51y +50y=50+50

you would be left with one solution

101y=100

Answer:

7 2/8

Step-by-step explanation:

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

Answer:

n = 6 probably

Step-by-step explanation:

10 + I 10n + 6 I+ = 76

since " I   I " means it will always be positive we can kinda just ignore it

10 + 10n + 6 = 76

16 + 10n = 76

10n = 76 - 16

10n = 60

n = 6

Answer:

It rained 3/8 cm more on Tuesday than Monday.

Step-by-step explanation:

What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm

Answer:

[tex]H = \frac{V}{\pi r^{2} }[/tex]

Step-by-step explanation:

So long as you have the volume and radius of a cylinder, it should be easy!

Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).

That is the formula for finding the height of a cylinder!

I hope this helped!

Answer:

x = 8

Step-by-step explanation:

Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)

Since the two angles that make up angle E sum up to 90, we can make an equation:

(9x - 6) + (2x + 8) = 90

11x + 2 = 90

11x = 88

x = 8

Answer:

+ 4

Step-by-step explanation:

The pattern of the expression is +4 as you see it goes 5 to 9

5 + 4=9

And if i'm correct the number after 9 will be 13 and it is

9 + 4=13

next it will be a 17 because 13 + 4=17

The next following numbers of the pattern will be 21  25  29  33  37 41 45

Hope it helps have a great day:)

Answer:

11/50

Step-by-step explanation:

22% = 22/100 = 11/50

11/50 cannot be reduced further.

Answer:

43.185

Step-by-step explanation:

43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.

An element greater than or equal to all the elements in a given set

We need to find the upper bound of 43.18 cm correct to 2 decimal places

2 decimal place = 0.01

0.01 ÷ 2 = 0.005

So now add 43.18 and 0.005.

43.18 + 0.005 = 43.185.

Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.

To learn more on Upper bound click:

https://brainly.com/question/22965427

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3 huts are built by 5 people in 21 days.

So 1 hut is built by 5 people in 7 days.

That is to say, 1 hut requires 5*7 = 35 man-days.

Which means 6 huts need 6*35 = 210 man-days.

If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.

Answer = 14 people.

Answer:

True statement

Step-by-step explanation:

400/10 = 40

so we can say the 40 is a tenth 400

Answer:

3.45 x 106

Step-by-step explanation:

Answer:

3.45 * 10⁶

Hope that helped :D

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

$5 per person

Step-by-step explanation:

3 people. 5 dollars each. 15 dollar admission. 3x5 is 15

Answer:

18cm

Explanation

2πr

2×22/7×6=38cm

4l=14×4=56

The difference=56-38=18cm

Answer:

261

Step-by-step explanation:

a²+b² = c²

Given, a = ?

b = 24

c = 262

a² = c² - b²

a²= 262² - 24²

a² = 68644 - 576

a² = 68068

a = √68068

∴ a=  260.89844

can be said as 261

Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309

Data;

To calculated the amount Sangeetha got, let's solve the ratio

[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]

Sangeetha got Rs 412.

To calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515

[tex]\frac{1}{5} * 515 = 103[/tex]

The difference in the amount is calculated by subtracting 412 from 103

[tex]412 - 103 = 309[/tex]

Learn more on ratios here;

https://brainly.com/question/1781657

Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet

The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

circumference of a circle = 2πr

2 x 20 x 3.14 = 125.60 feet

Number of revolutions = 8 x 125.60 feet = 1004.80 feet

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation: