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Goryan [66]
3 years ago
14

A circle with an arc measure of 160 degrees has an arc length of LaTeX: 20\pi\:cm20 π c m What is the radius of the circle in wh

ich the arc sits? Round to the nearest tenth if necessary.
Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer: the radius of the circle is 22.5 cm

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Length of arc = 20π cm

θ = 160 degrees

Therefore,

20π = 160/360 × 2 × π × r

20π = 160/360 × 2 × π × r

Dividing both sides of the equation by π, it becomes

20 = 160/360 × 2r

20 × 360 = 160 × 2r = 320r

320r = 7200

r = 7200/320

r = 22.5 cm

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A screenshot of the graph is attached.

The graph starts at $250, as that is the amount invested, and increases exponentially from that point.

6 0
4 years ago
Read 2 more answers
Do you know the answer to this question?
solong [7]
3t-1=8
3t=8+1
3t=9
3t divide by 9
Will give you 3
So your t value would be 3

Explanation: you would have to bring the -1 over to the 8, making the 1 positive. Then you would add up 8 nd 1.
And just divide the two numbers so 9 divide by 3. And you would have your answer T=

Hope this helped
Please mark me as brainlist :)
3 0
4 years ago
The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Det
astra-53 [7]

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

7 0
3 years ago
1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing th
Aleksandr [31]

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

7 0
3 years ago
Based on the equation, what is the number of new types of plants that will be in the park after 24 years?
Goryan [66]
Yes so this is just waffle and it is hard hope this helps
8 0
4 years ago
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