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twilov2878
02.03.2021 •
Mathematics
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Ответ:
The first box in the girl row is 18, the second one in the boy row is 8, and the bottom one is also 18.
Step-by-step explanation:
To get 81 to 9, you have to divide by 9, which means you have to do the same to 72. You get the ration 9 to 8, 9 being girls and 8 being guys. Then to get from 8 guys to 16, you have to multiply by 2, which means you do the same to 9 and get the answer of 18 girls. Hope this helps :)
Ответ:
The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2
Step-by-step explanation:
Given
y = 66x
And a point A(74, 0)
We are required to find the point on the line that is closest to A, and then find the distance between these points.
Let the point be P(s, t)
Because it's coordinate satisfies the given equation
y = 3x
Let t = 3s, then we have
p(s, t) = P(s, 3s)
Next, we find the distance between P and A
Let the distance be
D = √[(x1 - y1)² + (x2 - y2)²]
Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.
D = √[(74 - s)² + (0 - 3s)²]
= √(s² - 148s + 5476 + 9s²)
= √(10s² - 148s + 5479)
To maximize the distance, we find the derivative of D with respect to s, and set it to 0.
That is dD/ds = 0
dD/ds =
(20s - 148)/2√(10s² - 148s 5479) = 0
=> 20s - 148 = 0
20s = 148
s = 148/20
s = 7.4
Since t = 3s, we have
t = 22.2
So, the point is P(7.4, 22.2)
Finally, we find the distance D.
D = √[(74 - s)² + (0 - 3s)²]
D = √[(74 - 7.4)² + (0 - 3×7.4)²]
D = √(4435.56 + 492.84)
= √4928.4
D = 70.2
Therefore, the distance is 70.2