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madam [21]
3 years ago
15

Good morning everyone! Can someone please tell me if the answer I got for this question is correct. I'm not sure and I wanna mak

e sure it's right. If it's not then please give me the correct answer.
Please use the following image in order to answer the question correctly.

Find the measure of the red arc or angle.

What is the degree measurement of PS?(The symbol is in the image below)

Please show all the work on how you got your answer.(If you don't have an explanation then don't worry about it, just show your work on how you got the answer)

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

80 degrees.

Step-by-step explanation:

The arc PS = 2 * the angles subtended by PS ( that is  < PRS)

= 2 * 40 = 80 degrees.

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WHICH ONE DOESN'T BELONG? Which figure does not belong with the other three? Explain your reasoning.
juin [17]
The sphere. All the others are prisms.
5 0
3 years ago
What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3
Ber [7]

For this case we have the following system of equations:

4x + 2y = 18\\x-y = 3

To solve, we clear "x" from the second equation:

x = 3 + y

We substitute "x" in the first equation:

4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18

We clear the value of the variable "y":

6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1

We look for the value of the variable "x":

x = 3 + y\\x = 3 + 1\\x = 4

Thus, the solution of the system is given by:

(x, y) :( 4,1)

Answer:

(x, y) :( 4,1)

Option D

4 0
3 years ago
A college student wants to determine if degree of introversion/extroversion is associated satisfaction with life. She has a samp
andrew11 [14]

Answer: Correlation

Step-by-step explanation:

The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.

Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.

In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.

7 0
3 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
an indy car driver has to be a certain height to fit into the race car. The following inequality 175&lt;=3x-17&lt;=187, where x
enot [183]

Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.

Let us solve the inequality for x.

We have 17 is being subtracted in the middle.

Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get

175+17 ≤ 3x-17+17 ≤ 187+17

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Dividing by 3.

192/3  ≤ 3x/3 ≤ 204/3.

64 ≤ x ≤ 68.

Therefore, the height of the driver should be from 64 to 68 inches  to fit into the race car.

8 0
3 years ago
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