Answer
He would lose 2000 dollars either way so it doesn't really matter.
Step-by-step explanation:
9514 1404 393
Answer:
48 m³
Step-by-step explanation:
The correct formula for the volume of a pyramid is ...
V = 1/3Bh
For the given values, the volume is ...
V = 1/3(36 m²)(4 m) = 48 m³
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Its typical because 60 between 100. 8 times 10 seconds equals 80 which is in between so Noah's heart rate is typical.
What?
The slope can be found between two points by finding the change in values divided by the change in values.
