On a distant planet, a 20º central angle intercepts an arc of 4067 miles. What is the radius of the planet at its equator?
The radius of the planet is
miles. (Simplify your answer.)​

Answers

Answer 1

Answer: 11,682.4 miles

Step-by-step explanation:

We can think the planet as a circle:

if we have a circle of radius R, and an arc of A degrees in the circle, the lenght of the arc is:

L = (A/180°)*3.14*R

Here we know that:

L = 4076 miles

A = 20°

Then:

4076mi = (20/180)*3.14*R = 0.3489*R

R = 4076mi/0.3489 = 11,682.4 miles


Related Questions

Substitute x and y in the equation

Answers

B. y=50x

If you look at the graph, you can see that in each dot the y equals to 50 Times x.
Such at the first dot, the location is at (1,50). 1*50=50
And at the second dot the location is at (2,100). 50*2=100
And at the last dot, the location is at (8,400). 8*50=400

billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?

Answers

Answer:

Y-8

Step-by-step explanation:

What type of skew does this graph have?

Answers

Answer:

Negative skew; skewed right.

Step-by-step explanation:

It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).

~

Another khan academy question

Answers

First off, notice that this is a right triangle.

You can use this to help write equation.

Equation : x+ (4x-85)=90. The correct answer is "c"

Hgxbxhdhdhdjc Nc FDA faces have

what is the answer to 6a-15< 2(3a+4)?

Answers

Answer:

3a<38

Step-by-step explanation:

The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?

Answers

Answer:

14168

Step-by-step explanation:

15400 / 100 x 8 = 1232

1232 = 8%

15400 - 1232 = 14168

Which point is the centroid of the triangle?
Question 5 options:

A)

D

B)

G

C)

F

D)

C

Answers

Answer:

The answer is B) G

Step-by-step explanation:

G is at the center of the triangle. It is a centroid because it is where all the medians meet.

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

Answer:

Answer is option b)

[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]

Your guess was right.

Step-by-step explanation:

[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Factor. 125x^3-64y^3

Answers

Answer:

= 5x - 4y

Step-by-step explanation:

125x³- 64y³

= 5x - 4y

Answer:

Hello,

(5x)^3 - (4y)^3

Step-by-step explanation:

125 = 5^3

64 = 4^3

125 x^3 - 64 y^3 = (5x)^3 - (4y)^3

Simplify:

a) 6c + 4d - c - 7d =

b) 3x + 5y - x + 2y =

c) 3g + 5h + 4g - 2h =

d) 8t + 3r - 7t - 9r =


Answers

Answer:

a) 5c-3d

b) 2x+7y

c) 7g+3h

d) 1t-6r

hope this helps ;)

Answer:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Step-by-step explanation:

combine like terms:

a) 6c + 4d - c - 7d =  5c -3d

b) 3x + 5y - x + 2y =  2x + 7y

c) 3g + 5h + 4g - 2h =  7g + 3h

d) 8t + 3r - 7t - 9r = t - 6r

Find the length of the base of the following pyramid, given the height of the pyramid is 221 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number.

An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 62 degrees. The height is labeled 211, and the corner of the right angle is marked with a letter P.

75 meters
189 meters
235 meters
416 meters

Answers

Answer:I believe it would be answer choice, 235 meters

Step-by-step explanation:

I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.

The length of the pyramid's base would be:

C). 235 meters

Find the length of the base

Given that,

Height of the pyramid [tex]= 221[/tex]

Elevation/angle of the base [tex]= 62[/tex]°

Employing the trigonometric function,

Tan 62 [tex]= 221/[1/2 base][/tex]

Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]

[tex]= 2[/tex] × 221/[tex]1.88[/tex]

[tex]= 235.10[/tex]

Thus, option C is the correct answer.

Learn more about "Angle" here:

brainly.com/question/15767203

I'm not quite sure about this question, can someone please help.

Answers

So the right answer is 78.57 in^2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

73.6 is the answer
Hope u understand solution.

PLEASE HELP FAST

Which transformation preserves size and shape. Choose ALL correct answers

A) Dilations
B) Rotations
C) Translations
D) Reflections

Question 2

Which transformations preserve orientation?

A) Translations
B) Rotations
C) Reflections
D) Dilations

Answers

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 , what percent of the population has a lower IQ?
A. 47%
B. 93%
C. 22%
D. 99%
E. 7%

Answers

Answer:

B. 93%

Step-by-step explanation:

Find the z-score:

z = (x − μ) / σ

z = (122 − 100) / 15

z = 1.47

Find the probability using a calculator or z-score table.

P(Z < 1.47) = 0.93

There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.

Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?

Answers

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

2 points
Cindy is painting her house. She paints 34 1/2 square feet in 3/4 hour. At
this rate, how many square feet can she paint each hour? *

Answers

Answer:

102 sqaure feet                                                      

Step-by-step explanation:

Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.

Answers

Answer:

get a coupon find a cheap on or steal it or get a discount

Answer:

She could use coupon deals, she could research what stores have it cheapest, see what deals online has

The length of a rectangle is twice its width. If the width is 10, what is the area? Can you help me? Please?

Answers

Answer:

Area is 200

Step-by-step explanation:

First off since it said that the width is 10, We add another 10 to the length, making it 20.

Next, you multiply 20 and 10 together,

Giving you 200.

I hope I was helpful!

Answer:

200

Step-by-step explanation:

the formula for area is length * width you would 10 * 200

The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches

Answers

the answer is b. 1672

A pizza parlor charges $18 for a plain pizza and charges $0.75 for each additional topping.
Which of the following best models the cost of a pizza?
y = 18x +0.75
y = 13.5x + 18
y = 180.752
O y = 0.75x + 18

Answers

Answer:

the last one

Step-by-step explanation:

well you have 18 pizzas total, and each topping is 0.75. so let's say u want two toppings you would do 75 ×2 and so on, you would label the question

Y= 0.75x + 18

how would you differentiate this problem using the quotient rule?

Answers

rewrite the square root of X as X^ 1/2. Then take the derivative. Since 1/3 is a constant with respect to X you can pull that out. So, you should have
1/3 d/dx [ (2x^2-x^5)/3x^1/2].

Then factor x^2 out of 2x^2-x^5.

Then by using the negative exponent rule you should have

1/3 d/dx [ x^2(2-x^3)x^-1/2 ]

Then multiply x^2 by x ^-1/2 by adding the exponents.

1/3 d/dx [ x^3/2 (2-x^3)]

Then differentiate.

You should get x^1/2 - (3x^7/2)/2.

I hope that helps.

What is the surface of a box 8“ x 7“ x 2“

Answers

Answer:

172 inches squared

Step-by-step explanation:

(8 x 7)2= 112

(7 x 2)2= 28

(8 x 2)2= 32

32 + 28+ 112

172 inches squared

3. Fine the value of x.
A) 3.5
B)7
C) 5
D)10

Answers

Answer:

I would say B

Step-by-step explanation:

I think

I would think the sender was b

Why are the units of area squared? How does this help us remember the formula for area of a circle?

Answers

Answer:

Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.

A cylinder has a volume of 371.776 cubic centimeters. The diameter of the cylinder is 8 cm. What is the height of the cylinder? (Assume = 3.14)

Answers

Cylinder volume formula:

V=πr^2h

Substitute given values into the formula

Note: use 3.14 for pi

Diameter is twice the radius, so if diameter is 8 then radius is 4

371.776 = (3.14)(4^2)h

Use h for height because we don't know the height

Okay, so let's try to get the h by itself on the left side of the equation

So begin by getting rid of 3.14 by dividing it by both sides

371.776/3.14 = 118.4

3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)

So now we have:

118.4 = 4^2(h)

Now we can get rid of 4^2

Start by actually squaring it and then divide it from both sides

118.4 = 16(h) (4^2 = 16)

118.4/16 = 7.4

16/16 = 1 (dont put 1, just drop it)

So now we have

7.4 = h

Now we have h by itself! So h = 7.4

let's  test it by putting it in the cylinder volume formula

V = πr^2h

371.776 = (3.14)(4^2)(7.4)

371.776 = (3.14)(16)(7.4)

371.776 = 50.24(7.4)

371.776 = 371.776

7.4 is your answer, if you have any questions, feel free to ask

The square of 9 less than a number is 3 less than the number. What is the number?
-12 or 7
-12 or -7
- 7 or 12
7 or 12

Answers

Answer:

Let the number be x, then (x - 9)^2 = x - 3

x^2 - 18x + 81 = x - 3

x^2 - 19x + 84 = 0

(x - 12)(x - 7) = 0

x = 12 or 7

Step-by-step explanation:

select the one answer. (x+5)-4y

Answers

Answer:

B) The sum of x and 5 subtracted by 4 times y.

Step-by-step explanation:

(x + 5) = the sum of x and 5

- = subtracted by

4y = 4 times y

"The sum of x and 5 subtracted by 4 times y).

B) is your answer.

~

Answer:

B/the second one

Step-by-step explanation:

help rsm 2.1/x+1 4/5=3/10x

Answers

Answer:

two minus one times .........

The solution to the equation is x = 7, -1.

What is a quadratic equation?

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 2.1/x + 1 (4/5) =(3/10)x.

Simplify the equation as follows:

2.1/x + 1 (4/5) =(3/10)x

2.1/x + 9/5 = (3/10)x

2.1 + (9/5)x = (3/10)x²

21 + 18x = 3x²

3x² - 18x -21 =0

3x² - 21x + 3x -21 =0

3x(x - 7) + 3(x - 7) =0

(x - 7)(3x + 3) =0

x - 7 =0 or 3x + 3 =0

x = 7 or x = -1

Hence, the solution to the equation is x = 7, -1.

Learn more about the quadratic equations:

https://brainly.com/question/17177510

#SPJ2

The figure is made of rectangular prisms. What is the volume?

Answers

Answer:

So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.

Step-by-step explanation:

As we the the formula for a rectangular prism is l*w*h

Answer:

2,160cm³

Step-by-step explanation:

Good luck kiddos :)

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.

How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.

Answers

Answer:

17.3

Step-by-step explanation:

(2+18)=(20mph*2miles)=6 minute

(18-2)=16mph*3miles=11.25

17.25

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