Euclid was a Greek mathematician known as "Father of Geometry"
Answer:
The smaller dimension of the pool is 14 ft.
The larger dimension of the pool is 35 ft.
Step-by-step explanation:
We are told that:
The rectangular swimming pool is 6 ft deep. Thus, depth: h = 6 ft
One side of the pool is 2.5 times longer than the other.
Thus, length = 2.5(width)
l = 2.5w and width = w
Volume; V = lwh = (2.5w × w × 6) = 15w²
The amount of water needed to fill the swimming pool is 2940 cubic feet.
Thus;
15w² = 2940
w² = 2940/15
w² = 196
w = √196
w = 14 ft
Length: L = 2.5w = 2.5 × 14 = 35 ft
There are 19 true or false questions. Therefore there are 19 options for true, 19 options for false, and 19 options to leave each question blank. So 19 + 19 + 19 = 57. There are 57 possibilities to answer (or leave blank) the questions.
The car requires 192 ft to stop from a speed of 48 mph
<u>Explanation:</u>
Given:
Speed, u = 30 mph
Stopping distance, d = 75 feet
The stopping distance d of a car after the brakes are applied varies directly as the square of the speed, u
So,
d = k (u)²
On substituting the value:
75 = k (30)²
k = ![\frac{75}{900} \frac{ft hr^2}{miles^2}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B900%7D%20%5Cfrac%7Bft%20hr%5E2%7D%7Bmiles%5E2%7D)
Speed, u₂ = 48 mph
d₂ = ?
d₂ = k (u₂)²
On substituting the values we get:
d₂ = ![\frac{75}{900} X (48)^2](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B900%7D%20X%20%2848%29%5E2)
d₂ = 192 ft