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
Choose Yes or No to tell if the fraction
Ivahew [28]

Answer:

adding \frac{3}{5} in the blank space makes the equation true.

Step-by-step explanation:

i) \dfrac{7}{20}  + \dfrac{3}{5}  = \dfrac{7}{20} + \dfrac{12}{20} = \dfrac{7 + 12}{20} = \dfrac{19}{20}

ii) From the above equation we see that adding \dfrac{3}{5} in the blank space makes the equation true.

iii) first the fraction of  \dfrac{3}{5}  is multiplied by 4 on top and bottom which gives us the value of \dfrac{12}{20} which now has the same denominator as \dfrac{7}{20} and so the numerator of the two fractions can be added which gives the result \dfrac{19}{20} which makes the equation true.

8 0
3 years ago
It takes 45 minutes to drive to the nearest bowling alley taking city streets going
Savatey [412]

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

7 0
3 years ago
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME
PilotLPTM [1.2K]

Answer:

6

Step-by-step explanation

divide 48/6=6

divide 90/15=6

divide 102/17=6

7 0
2 years ago
What times what equals -40 and add to make -3
Alekssandra [29.7K]

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

6 0
2 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
3 years ago
Read 2 more answers
Other questions:
  • Arnold buys 8/9 pound of ground turkey. he uses 3/4 pound of the ground turkey to make meatballs. how many pounds of ground turk
    14·2 answers
  • G(x) =-2x-5<br>whay is g(-3) ? ​
    14·1 answer
  • Last year there were 29 students at a creative writing workshop. This year 35 students attended the workshop. To the nearest ten
    15·2 answers
  • What is the slope of the line?
    13·1 answer
  • Which weighs more grams or kilograms
    8·2 answers
  • Retailer makes a profit of 5% by selling a fan for Rs 735 at what price the purchase the fan​
    12·1 answer
  • What is the solution to the following system? (picture)
    6·1 answer
  • Find the area of the following composite figure​
    12·1 answer
  • Evaluate -9+5^2(2-1)​
    12·2 answers
  • I need help plsssssssss
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!