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Paul [167]
2 years ago
11

The circle below has center P, and its radius is 6in. Given that =m∠QPR170°, find the length of the major arc QSR.

Mathematics
1 answer:
kenny6666 [7]2 years ago
7 0

The length of the major arc QSR is 39.77 inches

<h3>How to find the length of the major arc QSR?</h3>

The given parameters are:

m∠QPR = 170 degree

Radius, r = 6 inches

The length of the major arc QSR is calculated as:

Arc length = (360 - Angle/360) * 2πr

Substitute the known values in the above equation

Arc length = (360 - 170/360) * 2 * 3.14 * 6

Evaluate the difference

Arc length = (190/180) * 2 * 3.14 * 6

Evaluate the product

Arc length = 39.77

Hence, the length of the major arc QSR is 39.77 inches

Read more about arc lengths at:

brainly.com/question/2005046

#SPJ1

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Lady_Fox [76]

Answer:

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

Step-by-step explanation:

Exterior angles are the angle between the any reference side and line extended from the adjacent side.

the sum of exterior and interior angle is 180 as it lies on a straight line.

_______________________________________________

based on above definition the given statement becomes false.

Hence, correct choice is option third

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

5 0
3 years ago
Complete each statement. An event with a probability of 0 is An event with a probability of 1 is
BaLLatris [955]

Answer:

An event with a probability of 0 is impossible.  

An event with a probability of 1 is certain.

Step-by-step explanation:

Probability is typically expressed in terms of a fraction between 0 and 1 where the denominator is the total number of outcomes and the numerator is the number of desired outcomes.  Since probability is expressed as a fraction, if the probability is 0, that means it is impossible, or there is no chance that the event can happen.  However, if the probability is 1, that means that the event is certain to happen and the odds are completely in your favor that the event will happen.  

3 0
3 years ago
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Laura owes $4759 on a credit card with a 20.9% interest rate compounded monthly. What is the monthly payment she should make in
Juliette [100K]
This can be calculated using the formula:
P = L((r/n)*(1 + r/n)^(n*t))/((1 + r/n)^(n*t) - 1)
Where:
L = 4759
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n = 12
t = 3
So plugging in our data:P = 4759((0.209/12)*(1 + 0.209/12)^(12*3))/((1 + 0.209/12)^(12*3) - 1)
Which will give us the amount of: $179.05 is the monthly repayments.
Other info:
Total interest:$1,686.80
Total cost:$6,445.80
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Step-by-step explanation:

3 0
3 years ago
Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2
Alexeev081 [22]

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

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Then b=-1. Now, let's substitute the value of b into equation (i):

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2a + 3(-1) = -1

2a -3 = -1

2a = 2

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Then, a=-1 and b=-1

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3 years ago
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