Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion ,
(i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put
in (i), we get

Hence, the height of the tree is 12.57 ft.
Answer:
Hello there, the answer would be
Step-by-step explanation:
We cut the figure into two different shapes.
Since on one side it is 4 feet and the height is seven, we cut right there.
So the bottom figure is now 4 x 5 = 20
The top figure is cut with 3 height left, So all we do is just multiply.
8 x 3 = 24.
20+24=44.
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If C is a point between AB then we can write AC + CB = AB
Same way we can write tu + ub = tb
tu = 4x - 1 , ub = 2x - 1 and tb = 5x
So we can write it as




So x is = 2.
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
If you represent the problem in a diagram, you will form a triangle with 3 known length of the sides. When you are given all sides, and you are asked to find an angle, you can use the cosine law.
b^2 = a^2 + c^2 - 2ac*cosB
1.4^2 = 1.9^2 + 1^2 - 2(1.9*1)(cosB)
B = 45.78°