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Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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Answer:
Step-by-step explanation:
I do not know
Answer:
4.7 yd
Step-by-step explanation:
The horizontal lines in the diagram are parallel, so the angle of depression at D and the angle of elevation at F are congruent. So, you have a right triangle with the measure of one acute angle (F) and the length of the adjacent side (EF = 10 yd). You are being asked to find the opposite side (DE).
The mnemonic SOH CAH TOA reminds you of the necessary relation:
Tan = Opposite/Adjacent
Filling in the given information, you have ...
tan(25°) = DE/(10 yd)
Multiplying by 10 yd gives ...
(10 yd)tan(25°) = DE ≈ 4.663 yd ≈ 4.7 yd
