It's the 5 between the 4 and the 6
Answer:
90°
Step-by-step explanation:
Circle C has radius √36 = 6
Circle D has radius √18 = 3√2
As the D radius intersecting either point of tangency, does so at a right angle.
The half angle θ between the tangents is
sinθ = 3√2 / 6 = ½√2
θ = 45°
so the angle between the tangents is 2(45) = 90°
Answer:
the mistake is that to "remove" the 1/2 on the left you would have to multiply by 2 (or divide by 1/2 but no one does that)
the result would be that 2h-4 = 10 should actually be 2h-4 = 20
Step-by-step explanation:
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.
