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
Fofino [41]
3 years ago
6

the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by t

he arc at the centre of the angle​
Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

You might be interested in
Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2
nlexa [21]

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

4\left(n\right)-3=-2\left(n\right)+9

remove the parentheses

4n-3=-2n+9

Add 3 to both sides

4n-3+3=-2n+9+3

Simplify

4n=-2n+12

Add 2n to both sides

4n+2n=-2n+12+2n

Simplify

6n=12

Divide both sides by 6

\frac{6n}{6}=\frac{12}{6}

Simplify

n=2

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

5 0
3 years ago
• Yogi is planning a concert for his animal friends. He arranges his chairs and if he makes 8 rows he was
qaws [65]

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

5 0
3 years ago
BRCA1 is a gene that has been linked to breast cancer. Researches at Stanford University wanted to estimate what proportion of w
Evgesh-ka [11]

Answer:

The point estimate for the proportion of women with BRCA1 mutation is 0.168

Step-by-step explanation:

The point estimate for the proportion of women with BRCA1 mutation is the number of women with this mutation divided by the size of the sample.

Of the 173, they found that 29 had BRCA1 mutations.

29/173 = 0.168

The point estimate for the proportion of women with BRCA1 mutation is 0.168

7 0
3 years ago
Find the cube root(s): ∛1
Over [174]

Answer:

1

Step-by-step explanation:

1 times 1 times 1 = 1

7 0
3 years ago
An equilateral triangle measures 3½ inches on one side. What is the perimeter of the triangle?
VLD [36.1K]
Since it's an equilateral triangle, all of the angles are the same. Since its perimeter we just need to add. So 3.5+3.5+3.5= 10.5
So the answer is 10.5
6 0
3 years ago
Read 2 more answers
Other questions:
  • The difference between 4 632 and 20 000 is what number?
    14·2 answers
  • Based on the above graph, in 2016, which occupation is projected to have about 2,500,000 more workers than there will be compute
    10·2 answers
  • This is really hard please help
    7·2 answers
  • Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the
    6·2 answers
  • A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions. What dimensions produce a
    13·1 answer
  • If the area of a square is 36 square unit what si the length of a side of the square​
    13·2 answers
  • Diana has just begun the process of filing her federal income tax return, and she plans to deduct medical and dental expenses. w
    7·1 answer
  • Marcy wants $205 in her bank account. If she has $85 now and adds $10 per week, how many weeks will it take her to reach her goa
    13·1 answer
  • Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.
    15·1 answer
  • How many positive three-digit numbers are evenly<br> divisible by 33?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!