Answer:
26.17 cm²
Step-by-step explanation:
Applying,
A = πr²∅/360................. Equation 1
Where A = Area of the sector, r = radius of the circle the sector was formed from, ∅ = angle subtends by the sector at the center of the circle , π = pie.
From the question,
Given: r = 5 cm, ∅ = 120°, π = 3.14
Substitute these values into equation 1
A = 3.14(5²)(120)/360
A = 26.17 cm²
Hence the area of the sector is 26.17 cm²
i don't really know the answer to that but if you stick to it you will increase you're knowledge. good luck!
65 percent of 120 is 54.17 rounded to the nearest percent it’s 54%
Answer:
16.4 million viewers
Step-by-step explanation:
The number of viewers increased by 8 million from 10 to 18 million when the number of ads increased by 10 ads from 15 to 25. If 23 ads are run, that represents an increase of 8 ads from 15, so we expect 8/10 of the increase in viewers.
8/10 × 8 million = 6.4 million
The number we expect with 23 ads is 6.4 million more viewers than 10 million viewers, so is 16.4 million.
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<em>Alternate solution</em>
We can write a linear equation in 2-point form for the number of viewers expected for a given number of ads:
y = (18 -10)/(25 -15)(x -15) +10
y = (8/10)(x -15) +10
y = 0.8x -2 . . . . . million viewers for x ads
For 23 ads, this gives ...
y = 0.8×23 -2 = 18.4 -2 = 16.4 . . . . million viewers, as above
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<em>Comment on 8/10</em>
I consider it coincidence that the number 23 is 8/10 of the difference between 25 and 15, and the slope of the line is 8/10. The point we're trying to interpolate has no relationship to the slope of the line, and vice versa.
