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Minchanka [31]
3 years ago
15

Find the area of a segment formed by a chord 8" long in a circle with radius of 8"

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0
Draw 2 radii such that their endpoints on the circle are 8 inches apartconnect these points; this is the chord and it is 8 inches longthe 2 radii and the chord form an equilateral triangleeach side is 8 inches and each angle is 60 degreesfind the area of the sector formed by the 2 radiifind the area of the equilateral trianglesubtract the area of the triangle from the area of the sector and you have the area of the segment of the circlearea of the sector: A=(q/360)*∏r2A=(60/360)*∏*82A=(1/6)(∏)(64)A=(64/6)(∏)A=(32/3)(3.14159)A=33.5103 square inchesarea of the triangle:A=(√3/4)a2 where a=length of a sideA=(1.73205/4)(82)A=(1.73205/4)(64)A=(1.73205)(16)A=27.7128 square inchessubtract33.5103-27.7128=5.7975 square inchesthe area of the segment is 5.7975 square inches
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the US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years. By how muc
rewona [7]

Answer:

The population growth is 6.26 per square mile per year

Step-by-step explanation:

We are given

he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years

So,

Initial population =128.7

Final Population =191.3

Total time =10 years

now, we can find population grow per year

=\frac{final-initial}{T}

now, we can plug values

=\frac{191.3-128.7}{10}

=6.26

So,

The population growth is 6.26 per square mile per year

3 0
3 years ago
Read 2 more answers
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental,
serious [3.7K]
15 + 4(h) = 27 
27 - 15 = 12
12/4 = 12 
Margie can rent the bicycle for 4 hours. 
8 0
3 years ago
I will give the BRAINIEST!!! Please help!!
kap26 [50]

Answer: B. y-1=2(x-3)

Step-by-step explanation:

First subtract both sides by 2x so it becomes -y=-2x-1

Second divide both sides by -1 so it becomes y=2x+1

After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x

7 0
3 years ago
I WILL MARK YOU BRAINLIEST!I REALLY NEED HELP WITH 20 PLEASE HELP ME
Finger [1]

Answer:

AP is 11.25 so the answer is F

Step-by-step explanation:

Since they are similar triangles (due to the ~ symbol)

You can write this:

AC/XZ = AP/XQ

since XZ=12

XQ=5

AC=27

you can write:

27/12=AP/5

then cross multiply:

27x5=135

135/12=11.25

AP is 11.25

6 0
3 years ago
What is the basic difference between liability insurance and collision insurance?
tia_tia [17]
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