Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so
where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
·_21.21
25l546. 25 goes into 54 twice with a remainder of 4
l50↓
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l 46 25 goes into 46 once with 21 left
l 25
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21
Answer:
x = 2y - 5
Step-by-step explanation:
The answer is B. 16.1 square meters
The region has triangular shape. To calculate the area of the triangle when three sides are known, we will use the Heron's formula:
A = √s(s-a)(s-b)(s-c)
where:
A - the area of the triangle
a, b, and c - the sides of the triangle
s - half of the triangle's perimeter: s = (a+b+c)/2
It is given:
a = 13 m
b = 5 m
c = 9 m
First, calculate s:
s = (a+b+c)/2 = (13+5+9)/2 = 13.5
Now, it is easy to calculate the area:
A = <span>√s(s-a)(s-b)(s-c) = </span>√13.5(13.5-13)(13.5-5)(13.5-9) = √13.5×0.5×8.5×4.5 = √258.19 = 16.07 ≈ 16.1