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3 years ago

Find the arc length of the 3/4 of a circle with a radius of 5

Mathematics

1 answer:

IgorLugansk [536]3 years ago

3 0

Answer:

7.5 pi

Step-by-step explanation:

The formula for arc length of a sector is denoted as

$\frac{x}{360}2\pi r$ , where x is the central angle of the sector.

Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.

3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.

$\frac{270}{360}2(5)\pi$

2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi

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7) hn) = n+1 g(n) = n³+n Find (hog)(n) n+n

dexar [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct ex

Debora [2.8K]

The expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles.

b = 3.4 miles

Let's suppose the s is the distance Sandra rode then,

s = 5b

The above expression represents the Sandra rode her bike.

Plug b = 3.4 miles

s = 5(3.4) = 17 miles

Thus, the expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

3 0

2 years ago

If 1once of toppings costs. .50 how much would 11onces be

dybincka [34]

Answer:

If one ounce of toppings cost $0.50, then you would need to take $0.50*11

.5*11= 5.5

11 ounces would be $5.50

hope this helps ;)

6 0

3 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

3 years ago

Read 2 more answers

Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to

nasty-shy [4]

Answer:

$1100

Step-by-step explanation:

Let the rent be x

<u>Discounted rent </u>

x - $50

<u>Increase applied</u>

<u>Final rent:</u>

(x - 50) + 10% = (x - 50)*1.1

<u>We know this is equal to x + 5% = 1.05x, comparing now</u>

1.1(x - 50) = 1.05x
1.1x - 1.05x = 55
0.05x = 55
x = 55/0.05
x = $1100

6 0

3 years ago