Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
Answer:
19.4 %
Step-by-step explanation:
The formula for<em> return on assets</em> (ROA) is
ROA = Net income /Total assets × 100 %
Since assets vary, we use the <em>average</em> of the total assets over the period.
<em>Calculate the average total assets</em>
At beginning of year, total assets = $263 000
At end of year, total assets = $313 000
Average = (313 000 + 263 000)/2
Average = 576 000/2
Average = $288 000
===============
<em>Calculate the ROA</em>
Net income = $56 000
ROA = 56 000/288 000 × 100 %
ROA = 0.194 × 100 %
ROA = 19.4 %
The company’s return on assets is 19.4 %.
9514 1404 393
Answer:
90 m²
Step-by-step explanation:
The given linear dimensions have the ratio ...
red/blue = (6 m)/(4 m) = 3/2
The ratio of areas is the square of the ratio of the linear dimensions:
(red area)/(blue area) = (3/2)²
S = (blue area)(9/4) = (40 m²)(9/4)
S = 90 m²
Answer:
The slope of the ramp is 1.
Step-by-step explanation:
See the diagram attached.
Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.
Then, EC = (15 - 10) = 5 ft.
Now, considering the right triangle Δ EDC, if 
is the inclination of the ramp, then 
Hence, 
Therefore, the slope of the ramp is 1. (Answer)
