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FrozenT [24]
3 years ago
7

A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either ente

r an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.
Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
This circle has a sector area of 17pi/2 and a central angle of 17pi/90. 

So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle

17pi/2= R* 17pi/90
R=45

A=45^2 * pi
A=90 pi or  282.6
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Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
a large school surveys 100 people by taking random samples of 10 teachers and 90 students. what type of sample is this
bearhunter [10]

Answer:

Stratified Sampling

Step-by-step explanation:

Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.

To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).

Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.

I hope this helped!

6 0
2 years ago
Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy
Volgvan

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

<u>Step-by-step explanation:</u>

Let x represent the original price, then

8x(1.45) < $500

x

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

8 0
3 years ago
What is the area of a square if the base is 4 m in the height is 4 m
iVinArrow [24]

Answer: the area is 16m

4x4=16m

6 0
2 years ago
The company sold four more than three times as many cars this month compared to last month. If 37 were sold this month, how many
belka [17]
11 were sold last month
4 0
3 years ago
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