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Vladimir [108]
2 years ago
10

A car travels along a hill inclined at 10 degrees with the ground and travels 900 feet. What is the horizontal distance travelle

d by the car, to the nearest tenths of a foot.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
8 0

Answer:

886.3 feet

Step-by-step explanation:

cos(10°) = d/900

d = 900 cos(10°) = 886.3 feet

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A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft
horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)

area = a*b = 42,000 ft^2 (ii)

from eq (1)

2a + 2b = 820

=> 2(a+b) = 820

=> a+b = 820/2

=> a + b = 410

=> a = 410-b   (iii)

putting the value of a in eq(ii), we get

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410b - b^2 = 42,000

0 = b^2 - 410b + 42000

b^2 - 410b + 42000 = 0

b^2- 200b- 210b + 42000 = 0

b(b-200)-210(b-200) = 0

(b-200)(b-210) = 0

or

b= 210 and b = 200

if b is larger side than b =210

By putting value of b in eq(iii),

a = 410 -210 = 200

 

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