Step One
Develop a formula for the perimeter.
Argument
What you see is a semicircle going upwards and another one going downwards. Two semicircles =1 circle.
The "perimeter" [Circumfrence] of a whole circle = 2*pi*r
We are told that whatever you call this the perimeter is 8pi + 16
Step Two
Set up the equation
8pi + 16 = 2*pi*r + 4r Including the line connecting these two.
Step Three
Take out the common factors on the left and right.
8(pi + 2) = 2r(pi + 2) Divide both sides by pi + 2
8 = 2r Divide by 2
4 = r
Sorry. I didn't know the meaning of perimeter. Mathmate is perfectly correct.
Answer:
Step-by-step explanation:
The formula of an area of a circle:
<em>r</em> - radius
We have the endpoints of a diameter of a circle.
The formula of a distance between two points:
Substitute the coordinates of the given points A(3, 4) and B(10, 4):
Therefore we have the length of the diameter: <em>d = 7</em>
We know: <em>d = 2r.</em> Therefore
Substitute to the formula of an area:
<em>There is no such answer in the answers to choose.</em>
<em>Apparently you have some error in the coordinates of the endpoints.</em>
Answer:
Step-by-step explanation:
Let be an acute angle.
To solve: , we take the sine inverse of both sides to obtain:
Recall composition property of a function and its inverse function.
We apply this property to the left hand side to obtain;
We now use our scientific calculator to obtain;
We round to the nearest tenth to obtain;
First statement is correct. If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
Given,
The rate of reading of a novel by Sasha = 0.8 pages per minute
The rate of reading of autobiography by Sasha = 0.5 pages per minute
The reading requirement of Sasha's English class = atleast 75 pages per week
The given equation: 0.8n + 0.5a ≥ 75
n is the number of minutes she reads the novel
a is the number of minutes she reads the autobiography
Now, let's check the statements:
Statement 1: If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
That is,
0.8 × 94 + 0.5 × 0 ≥ 75
75.2 ≥ 75
This statement satisfies the equation.
Other 4 statement didn't satisfy the equation.
So, first statement is correct.
Learn more about rate of reading here:
brainly.com/question/4459849
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So first I would say, what if all of them were dimes, how far away would it be from $14?
So 92 coins * 10 cents = $9.20
So it's 4.80 dollars away from 14 dollars.
So if we were to switch one to a quarter, it would increase by 0.15 cents.
So we want to see how many increases we need to reach 4.80 dollars more.
4.80/0.15 = 32
So there are 32 quarters and 60 dimes.