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.
Answer:
The first loan L1 = $20,000
This is the loan with 3% simple interest
The second loan L2 = $4,000
This is the loan with 5.5% simple interest
Step-by-step explanation:
L1 + L2 = $24,000 ...(1)
4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)
Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years
The second term represents total interest accruing to loan 2 after 4 years
From equation (1), we single out L1
L1 = 24,000 - L2
Substitute this value for L1 in equation (2)
288,000 + 10L2 = 328,000
L2 = $4,000
L1 = $24,000 - $4,000 = $20,000
The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3
6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them
all up to get $171, so that is correct. Add the number of one-dollar
bills and the number of ten-dollar bills together. 6 + 9 = 15, which is
the number of five-dollar bills, so that is correct as well. Add all the
numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30.
Answer:
Step-by-step explanation:
Let the side length for the octagon having 9m² as area = x
Side length for the octagon having area of 25m² = y.
Thus:
(area of similar polygons theorem)
The scale factor of their sides would be 
. Which is:
Scale factor of their sides =
