Julio bought 3/5 pound of potato salad for dinner.Wilma bought 5/4 the amount of potato salad that Julio did.How much potato sal
1 answer:
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Answer:
81.39% increase.
Step-by-step explanation:
Given: There is change in number from 43 to 78.
First lets find the amount of change or difference in number.
Difference in number=
∴ Difference in number show that there is an increase of 35 number.
Now, finding the percent change in the number.
Percent=
⇒ Percent change in number=
∴ 81.39% increase in the number.
Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.
