1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stels [109]
3 years ago
11

Will give brainlist

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

40.5°

Step-by-step explanation:

So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:

c = 2πr

Where c is the circumference, and r is the radius of the circle. Therefore:

c = 2π(40)

Simplify:

c = 80π

Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:

\frac{9\pi }{80\pi } = \frac{x}{360}

Now if we cross-multiply to solve for x:

(9)(π)(360) = (80)(π)(x)

When simplified dividing by 10π :

9*36 = 8x

Simplfy.

324 = 8x

Solve for x.

x = 40.5

You might be interested in
camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at
vladimir2022 [97]
Answer: 5.3 feet


Explanation:

To answer this you can use the Pythagorean Theorem. It states that a squared plus b squares equals c squared. C is the length of the hypotenuse and a and b are the other 2 sides. Please see the attached work to see how to answer this. The approximate height of the tent is 5.3 feet.

7 0
3 years ago
Read 2 more answers
DUE SOON <br> evaluate -3 1/5 + 7 3/5 = <br> -5 +2 - 8 -(-14)= show work pls
Sergeeva-Olga [200]
To hard sorry try Socratic it’s a app that helps with math problems
5 0
3 years ago
Θ is in Quadrant III and cos^2 0= 1/4
pychu [463]
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
7 0
3 years ago
1. f(x) = 2x + 6 Evaluate f(2)
fredd [130]
1) f(x)=2x+6
f(2)=2(2)+6
=4+6
=10

2)f(x)=3x
f(a+1)=3(a+1)
=3a+3
3)f(x)=3x-1 and g(x)=5x+3

f(2)=3(2)-1
f(2)=6-1
=5
g(3)=5x+3
=5(3)+32
=15+3
=18


f(2)+f(3)=5+18
=23.
7 0
3 years ago
Read 2 more answers
Louis can bake 60 muffins in 1 hour. A large company ordered 300 muffins. How many hours will it take for Louis to bake enough m
aleksandrvk [35]
It will take 5 hour. 300 divided by 60 is 5
4 0
1 year ago
Other questions:
  • 0.01 divided 12.9 in long division
    11·1 answer
  • What is the measure of x?
    7·2 answers
  • Two pipes can fill a tank in 36 minutes if both are turned on. if only one is used, it would take 56 minutes longer for the smal
    14·1 answer
  • 63x + x2 -6x +7 x -3​
    10·2 answers
  • Which expression is represented on the number line? (1 point)
    6·1 answer
  • Adriana, Henry, Malik, and Richard each design surveys to determine the most popular way seventh graders purchase music. Adriana
    5·2 answers
  • Divide. If the divisor contains 2 or more terms, use long division.
    13·1 answer
  • State the domain and range of this relation and whether or not it is a function. (Pic above)
    11·2 answers
  • Solve the system of equations.<br><br> y equals x plus 8<br> y equals 3 x plus 2
    14·2 answers
  • Graph the function y=-3/4(x+3)(x+7)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!