Answer:
x = 5/4
y = 7/4
Step-by-step explanation:
The smaller triangle and the larger one are similar, so the sides are proportional.
(x+5)/5 = 10/8
x/5 + 1 = 1/4 + 1 . . . . . divide it out
x/5 = 1/4 . . . . . . . . . . .subtract 1
x = 5/4 . . . . . . . . . . . . multiply by 5
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For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...
y = 7/4
(D) 33 feet
<u>Explanation:</u>
Given:
Height of the tree, h = 22 feet
angle, θ = 42°
Length of the ladder, l = ?
We know:
sin θ = Perpendicular / hypotenuse
So,
Sin θ = height of the tree / length of the ladder
l = 32.84 feet ≈ 33 feet
Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.
Answer:
Step-by-step explanation:
Null hypothesis: u = 9.5hrs
Alternative: u =/ 9.5hrs
Using the t test
t = x-u/sd/√n
Where x is 10hrs, u is 9.5, sd is 1.6 and n is 15
t = 10-9.5 / (1.6/√15)
t = 0.5 / (0.4131)
t = 1.21
In order to make a conclusion, we have to find the p value at a significance level lot 0.1. The p value is 0.2263 which is greater than 0.1. This, we will fail to reject the null hypothesis and conclude that there is not enough statistical evidence to prove that the technique performs differently than the traditional method.
