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
Akimi4 [234]
2 years ago
11

In circle D with m \angle CDE= 76m∠CDE=76 and CD=13CD=13 units find area of sector CDE. Round to the nearest hundredth.

Mathematics
1 answer:
Ksju [112]2 years ago
7 0

Answer:

112.03sq. units

Step-by-step explanation:

The area of a sector = theta/360 * πr²

The area of a sector = 76/360 * 3.14 * 13²

The area of a sector = 76/360 * 530.66

The area of a sector = 40,330.16/360

The area of a sector = 112.03sq. units

This gives the area of the sector

You might be interested in
Find the value of x in the figure.
Brut [27]
X=100
Explanation-
180=57+x+23
180=80+x
180-80=x
100=x
8 0
2 years ago
We play a game where there are 50 coins in a row, we take turns taking between 1 and 5 coins however many you like. whoever take
Liono4ka [1.6K]
The strategy for winning every time appears to be to ensure that the remaining number of coins is a multiple of 6. Then the first player can ensure a win by taking 2 coins to make the total number be 48.
6 0
3 years ago
Solve the system of linear equations by elimination x + 2y = 13 --x+y=5​
katen-ka-za [31]

Answer:

{x,y} = {1,6}  Have a great day

5 0
3 years ago
Read 2 more answers
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
Mason, a hardwood flooring installer, needs to calculate the amount of hardwood flooring needed to cover a floor that's 33⁄4 yar
Aleksandr-060686 [28]

Answer:

20 5/8 yd^2

Step-by-step explanation:

width = 3 3/4 yd

length = 5 1/2 yd

First change both measurements to fractions.

3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4

5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2

area = length * width

area = 15/4 yd * 11/2 yd

area = (15 * 11)/(4 * 2) yd^2

area = 165/8 yd^2

165/8 = 20 remainder 5

area = 20 5/8 yd^2

3 0
3 years ago
Other questions:
  • There are 303 Students.<br> There are 147 Girls.<br> How Many Boys Are there?
    12·2 answers
  • Mrs Gomez is having a party to celebrate the hard work of the students in her class. Mrs Gomez has 34 students in the class. The
    9·2 answers
  • HELP:Sarah, who is 19 feet away from Justin, has a ball in her hand. Sarah throws the ball away from Justin at a speed of 5 feet
    9·1 answer
  • A square has a perimeter of 36 millimeters.<br> What is the area of the square?
    6·2 answers
  • Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left​
    13·1 answer
  • What is the equation for the line that passes through the point (3,7) and has a slope of 2?
    7·1 answer
  • The rule for the number pattern is to add 56<br> 411,___,___,___
    7·1 answer
  • How to get x and what the answer is.
    11·1 answer
  • 50 points please help<br><br> please explain your answer please ( such as formula n such )
    9·2 answers
  • To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!