The scooter travels at 15 ft/s
at 3 seconds, it travels 45 feet
4 seconds, 60 feet
5 seconds, 75 feet
Answer: D) 48.75
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: length x width
Replacing with the values given and solving for A (area)
A= 7.5 ft x 6.5 ft =48.75 ft2
The area of the garden in square feet is 48.75. (option D).
Feel free to ask for more if needed or if you did not understand something.
A nickel is worth 5 cents. So if he has 5 nickels extra. They are worth 25 cents. Subtract 0.25 from 4.35 and you get 4.10. Now all you have to do is divide 4.10 by 0.05, which is a nickel. The answer is "Mike thought he had 82 nickels"
Answer:
B (7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
, 
] ← midpoint formula
let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is
= 2.5 ( multiply both sides by 2 )
- 2 + x = 5 ( add 2 to both sides )
x = 7
= - 1.5 ( multiply both sides by 2 )
- 7 + y = - 3 ( add 7 to both sides )
y = 4
Thus
coordinates of B = (7, 4 )
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
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