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Alinara [238K]
2 years ago
5

The radius is 7. Find the circumference of p. Leave your answer in terms of pi.

Mathematics
1 answer:
just olya [345]2 years ago
5 0

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

                              = 2π * 7

                              = 14π

Therefore the circumference of p is 14π.

Hope it helps!

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Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business.  The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 2% into decimal.

2\%=\frac{2}{100}=0.02

We have P=\$80,000 and t=10, so we will get:

A=\$80000\left(1+0.02\cdot 10\right)

A=\$80000(1+0.2)

A=\$80000(1.2)

A=\$96,000

Therefore, Anil will pay \$96,000 to the bank after 10 years.

8 0
3 years ago
What is the exact value of tan(−π4)?<br><br> Enter your answer in the box.
kondor19780726 [428]

Answer:

What is the exact value of tan(−π4)? is 20

4 0
2 years ago
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
White raven [17]

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation:

7 0
3 years ago
F(x) = 2x^2 − 3x − 5 Part
riadik2000 [5.3K]

Answer:  Answer  is in the steps..

Step-by-step explanation:

f(x)= 2x^{2} - 3x -5        

A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

 2x^{2}  - 3x - 5 = 0     Now solve using quadratic formula.

  x = -b±\frac{\sqrt{b^2 -4ac } }{2a}    

  x = 3 ± \sqrt{9+40} /2a  

   x = 3 ± \sqrt{49}  / 2a

   x= 3 ± 7 /4

   x= -1   or x = 5/2  

The x intercepts are  (5/2,0)  and (-1,0)

   

B)  The graph vertex of the graph of f(x)  is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

 Using the  x coordinates  we could find their average and find the x coordinate of the   vertex.

\frac{5}{2} + -\frac{1}{1}  =  \frac{3}{2} / \frac{2}{1} = 3/4  

The x coordinate of the vertex  is 3/4 so we will input that into the equation and solve for the y coordinate  

2(\frac{3}{4})^2 - 3 (\frac{3}{4}) - 5   = 18/16 - 9/4 -5  =  -49/8

The y coordinate of the vertex  is  -49/8

So the vertex is (3/4, -49/8)  

C)   First  I will graph the vertex and then graph he two x intercepts and connect then like a U shape.

5 0
3 years ago
The ratio of the measures of the three angle in a triangle is 15:8:13. Find the measure of the three angles.
Angelina_Jolie [31]

Answer:

a=15x; b=8x; c=13x

180°=a+b+c=15x+8x+13x=36x

=> x=180÷36=5

=> a=15×5=75°; b=8×5=40°; c=13×5=65°

6 0
3 years ago
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