Find the area A of the sector of a circle of radius 50 feet formed by the central angle
5
radian.

Answers

Answer 1

Answer:

[tex]A=6250\ feet^2[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, [tex]\theta=5\ radian[/tex]

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2[/tex]

So, the area f the sector of the circle is [tex]6250\ feet^2[/tex].


Related Questions

Need help fast please

Answers

Answer:

The answer for the first one is 1/f3

the second one is b-5 i think

third one is 8k^5/m4

last one is -9

hope this helped

Step-by-step explanation:

1st. F’-3 2nd. 3rd. 8k’5/m’4. 4rd. -9

can you solve these please and show your work

Answers

Here you go, here is one. Hopefully I can give the other.

Lilly took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she had paid a total of 37975.00. find the intrest rate on the loan

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

y = x^2 + 6x + 4

Find the vertex
And please explain how I don't understand.

Answers

Answer:

(-3, -5) This is my answer I hope it helps

Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me

Answers

Download Socratic for the correct answer btw I need points;)

y-2=-5(x-2) slope intercept form

Answers

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

We need a rock garden with a perimeter of 12 feet and an area of 8 square feet


Length: Feet
Width: Feet​

Answers

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

hello please help 50 points and brainliest!!!

Answers

Answer:

sorry the image is not clear

Please please help me I have to finish and on question 2

Answers

The answer is D


I’m pretty sure I hope it helped

What is (10x+30)+(7x+14) ?

Answers

Answer:

17x + 44

Step-by-step explanation:

Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44

Left with: 17x + 44

Answer:

Remove the parentheses

10x + 30 + 7x + 14

Add the like terms

17x + 44

Solution

17x + 44

Step-by-step explanation:

Please mark the Brainliest

Please Help, what is the answer

Answers

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]

We can calculate it as follows :

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]

So, the final answer is x⁶. The correct option is (2).

Please I need help it’s an emergency

Answers

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

C i think
if it’s not correct don’t blame me i’m not sure if I did the math correctly

What percent of $80 is $20

Answers

Answer: $20$20​ is $25\%$25%​ of $80$80​.

Step-by-step explanation:

25

what is the amount returned on a deposit of $1,000 held for 2 years at 10% interest compound annually? ​

Answers

Answer:

since its 10%percent annualy(compound interest),at the end of 1year it would be 1000+(1/10 *1000)that is 1100,then for the second year it would be 1100+(1/10 * 1100)that is 1210.please mark me as brainliest

what do you understand by resultant of a force​

Answers

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 x 9 (12 on the top and bottom and 9 on the sides)

Step-by-step explanation:

100 km = 2 units, or 2 boxes

450 x 2/100 = 900/100 = 9

(not sure if this would help or not)

Help on this question pleaseeeeeeee

Answers

Step-by-step explanation:

F-27=19

F= 19+27

F=46

I hope it is helpful have a nice day

Answer:

answer is 46

Step-by-step explanation:

Solution for f-27=19 equation:

Simplifying

f + -27 = 19

Reorder the terms:

-27 + f = 19

Solving

-27 + f = 19

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + f = 19 + 27

Combine like terms: -27 + 27 = 0

0 + f = 19 + 27

f = 19 + 27

Combine like terms: 19 + 27 = 46

f = 46

Simplifying

f = 46

Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.

Answers

3x=18

x= 6

6 dollars in pocket

Answer:

32+s=55

Step-by-step explanation:

Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.

A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?

Answers

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

Can a triangle be formed with the sides lengths of 9 cm, 2 cm and 11 cm

Answers

Answer:

yessssss

Step-by-step explanation:

Answer:no it can not

Step-by-step explanation:

What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

I NEED THIS ASAP

Answers

Answer:

[tex]H = 53.30[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 7x + 41[/tex]

[tex]Side\ 2 = 5x[/tex]

Required

Determine side x

The hypotenuse (H) is calculated using:

[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]

Substitute 9 for x:

[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]

[tex]H^2 = 10816 + 2025[/tex]

[tex]H^2 = 12841[/tex]

So:

[tex]H = \sqrt {2841[/tex]

[tex]H = 53.30[/tex]

Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes

Answers

Answer:

29 1/31 minutes

Want to choose 2 letters ,without replacement, from 5 letters

Answers

what do u mean??????

find the area of this triangle. round to the nearest tenth. ​

Answers

Answer:

3,600

Step-by-step explanation:

Using the provided measures determine the measure of angle K.

A)30.5°
B)34.90
C)41.2°
D)58.0°

Answers

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]

Substitute

[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]

Multiply both sides by 3.18

[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]

[tex] sin(K) = 0.5716 [/tex]

[tex] K = sin^{-1}(0.5716) [/tex]

K = 34.8618741° ≈ 34.90°

Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3

Answers

Answer:

Answer is D: 3

Step-by-step explanation:

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

[tex]Area = \frac{36}{2}[/tex]

[tex]Area = 18[/tex]

3.663 to the nearest tenth of a ounce

Answers

Answer:

3.7 ounces

Step-by-step explanation:

You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.

Answers

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Since [tex]M = 75, T = 2.898, n = 18[/tex]

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]

[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]

[tex]s = 109.7992[/tex]

The sample standard deviation is of 109.7992 calories.

50 apples cost $25. How much would 75 apples cost?

Answers

Answer:

37.5

Step-by-step explanation:

If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5

And we know this is correct because 25 divided by 2 is 12.5.

so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.

12.5 x 3 = 37.5

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