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
lutik1710 [3]
3 years ago
11

The diameter of a circle is 16 meters. What is the angle measure of an arc bounding a sector with an area eight pi square meters

? (give the exact answer in simplest form)
Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer: 45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

You might be interested in
Phoebe bought 2/3 of a yard of green ribbon and 1/3 of a yard white ribbon to use on her quilt. She decided to exchange 1/3 yard
Viefleur [7K]
She has no more white ribbon because she exchanged it for yellow.
4 0
3 years ago
What is 4x(3/5)+(3-98)=
Darya [45]
It would be 2.4x+(-95)=
3 0
4 years ago
Read 2 more answers
Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

 From home to park, distance  =speed \cdot time =30 \cdot \frac{1}{3} =10 miles

So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
3 years ago
Leftover Expression
Mumz [18]

The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.

Answer:

The equivalent expressions are;

8a + 2 and 6a + 6b

Step-by-step explanation:

The two leftover expressions are given as;

2(4x + 1) and 6(a + b)

In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.

Thus simply means expanding or collecting like times to make it clearer.

Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.

Thus;

2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

8x + 2

Similarly,

6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;

6a + 6b

Thus;

The equivalent expressions are;

8a + 2 and 6a + 6b

4 0
3 years ago
(4+7-1÷5)÷1.2+2.5×3-0.2​
lawyer [7]
The final answer to tour problem 16.3
5 0
3 years ago
Other questions:
  • Write a word problem that involves multiplication and addition. Include extra numerical information
    13·2 answers
  • A student finds the slop of the line between (4, 3) and (-2, -2). She writes -2–4/-2–3. What mistake did she make?
    5·2 answers
  • What’s the probability of it raining in December
    5·1 answer
  • During a​ one-month promotional​ campaign, Fran's Flix gave either a free DVD rental or a​ 12-serving box of microwave popcorn t
    15·1 answer
  • If a function is one to one then the range becomes the what of the inverse function
    6·1 answer
  • Find the lateral surface area of this
    10·1 answer
  • The radius of a parachute is shown below.
    15·1 answer
  • PLZ HELP ITS TESTED lol
    8·2 answers
  • Help quickly plsss<br><br><br><br><br> Hsjsjdjjd
    7·1 answer
  • Help we don’t know the answer
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!