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
Nookie1986 [14]
3 years ago
12

What is the area of the sector for the following circle? Round your answer to 4 decimal places. *

Mathematics
2 answers:
motikmotik3 years ago
7 0

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

Dominik [7]3 years ago
4 0

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

You might be interested in
Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 550, \sigma = 100

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

Z = \frac{X - \mu}{\sigma}

Z = \frac{400 - 550}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 550}{100}

X - 550 = 0.675*100

X = 617.5

6 0
3 years ago
What is 412 divine by 8 but in Interpret the remainder Way please help
MatroZZZ [7]

The answer is 51 remainder 4      because 51* 4 =408 and 412 + 4 = 412

5 0
3 years ago
Help Help Help Help...What does it take for an orbiting spacecraft to escape its orbit?
Nana76 [90]

Answer:

Manual Override??

Step-by-step explanation: I'm prop wrong

8 0
3 years ago
Read 2 more answers
Please answer and explain.
almond37 [142]
Hi there!

10. the number: x

4 more = addition 

5 times = multiplication

less then 54 = 54 >

4 + 5x = <54


Hope this helps!

4 0
2 years ago
Please look at the image
Nitella [24]

Answer:

angle GKF because they are vertically opposite angle

6 0
2 years ago
Other questions:
  • Susan made chocolate chip cookies, peanut butter cookies, and sugar cookies to sell at the bake sale. she made twice as many sug
    9·2 answers
  • What is 3 = 5x - 12?​
    12·1 answer
  • I need help asap<br><br> what is the mode of 63, 70, 75, 80, 85, 85, 85, 92, 92, 95, 99
    6·2 answers
  • the weight of abes dog can be found using the expression 2(x+3), where x is the number of weeks. the weight of karens dog can be
    10·1 answer
  • Use natural logarithms to solve the equation. e2x = 1.4 Round to the nearest thousandth.
    6·2 answers
  • Please help me with this question
    7·2 answers
  • Drag the similar figure into the table.
    14·2 answers
  • While he hikes in the Gold Country of northern California, Sid dreams about the adventurers that walked the same trails years ag
    15·1 answer
  • The sum of a number, x, and 12 is -6. What is the value of x?
    11·1 answer
  • WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!