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
Anna11 [10]
3 years ago
14

A=140° r=16 ft calculate the arc length s and area a for each of the sectors

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=16\\
\theta =140
\end{cases}\implies s=\cfrac{(140)\pi (16)}{180}
\\\\\\
\textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=16\\
\theta =140
\end{cases}\implies A=\cfrac{(140)\pi (16)^2}{360}
You might be interested in
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With
Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

Step-by-step explanation:

Data given and notation n  

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.36 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

For this case the statistic is given:

z = 2.074

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

5 0
3 years ago
Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to
Savatey [412]

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625

Average change of population with time for town B = \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595

Average change of population with time for town C = \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800

Average change of population with time for town D = \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700

Town C had the greatest average change in population over time (800/yr).

8 0
3 years ago
Question 3
Wittaler [7]

Answer:

75

Step-by-step explanation:

4 0
3 years ago
Giving brainlist easy math problem!
Oliga [24]

Answer:

b = 10

-2d = -38

x = -1.2

Step-by-step explanation:

b = 10 and x = -1.2 only have one variable. You can divide -2 to both sides for -2d = -38 getting d = 19.

0.1 = 0.1 have no variable meaning that any number can be correct in the equation

1/3 ≠ 1/3 has a cross in the equal sign meaning that there is no correct answer for the equation.

7 0
3 years ago
Evaluate n/6 when n=12
PilotLPTM [1.2K]
When asked to evaluate, you have to plug in the given value of n (in this case), into the given equation.

n/6 = ?
In order to find out ?, we need to know what n is.
Well, n = 12
So, plug in 12 for n
n/6 would now be written as 12/6 in order to be evaluated
Now, simplify.... What you get for 12/6 is the answer

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the system of inequalities associated with the following graph?
    12·1 answer
  • What is the volume of the following rectangular prism?
    6·2 answers
  • How do I solve this I am having trouble
    11·2 answers
  • What value of 0 makes sin0=cos60 a true statement?
    8·1 answer
  • A city lot is 20 4/5 meters wide. It is 2 1/2 times as long as it is wide. How long is the city lot? Express your answer in simp
    12·2 answers
  • Help ASAP please!!!
    6·2 answers
  • If the sales tax in your city is 10.8%, and an item costs$191 before tax, how much tax would you pay on that item?
    10·1 answer
  • What is the square root of 50.8 *SIMPLIFIED*?
    14·1 answer
  • Plz help me and show work plz
    9·1 answer
  • Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!