Find the area of a sector
1 answer:
Answer:
990 cm²
Step-by-step explanation:
Given ratio of radii = a : b , then
ratio of areas = a² : b²
Here
ratio of radii = 50 : 30 = 5 : 3 , then
ratio of areas = 5² : 3² = 25 : 9
let x be the area of sector DEF , then using proportion
=
←
cross- multiply
25x = 24750 ( divide both sides by 25 )
x = 990
Area of sector DEF = 990 cm²
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Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:
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In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- He pays an amount per mile, plus a flat weekly fee.
- Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence
.
- For each mile, he pays $0.6, hence the slope is of
.
Then, the expression is:
To learn more about linear function, you can take a look at brainly.com/question/25823744