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Murljashka [212]
2 years ago
13

Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each si

de of his lot. These side lots are each 200 feet deep and contain 19,000 square feet. What is the total front footage of all three lots?
Mathematics
2 answers:
vlabodo [156]2 years ago
7 0
<h2>The total front footage of all three lots is 370 ft</h2>

Step-by-step explanation:

Front footage of first lot = 180 ft

Area of each side lot = 19000 ft²

Depth of each side lot = 200 ft

We have

           Area = Depth x Front footage

           19000 = 200 x Front footage

           Front footage = 95 ft

Total front footage = Front footage of first lot + 2 x Front footage of each side lot

Total front footage = 180 + 2 x 95

Total front footage = 180 + 190

Total front footage = 370 ft

The total front footage of all three lots is 370 ft

bija089 [108]2 years ago
3 0
The graph of the function f(x)=(x+2)(x+6) is shown

The statement the function is negative for all real values of x where x <-2
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2.810 / 3.562

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Kara and Lindsey both hike in separate directions from their campsite, with Kara hiking straight to the east and Lindsey hiking
sammy [17]

function that could be used to represent the area of the triangular region formed by the girls' locations and the campsite at 2:30 p.m. is Area = \frac{(2x+1)(x+0.5)}{2} .

<u>Step-by-step explanation:</u>

First, Kara walks straight East twice as much as Lindsay walks North. Let "x" be the number of miles walked by Lindsay, Kara has walked twice that at the same time i.e.

⇒ 2x

Then we need to add one mile to what Kara walked i.e.

⇒ 2x+1  and half a mile (0.5 mi) to what Lindsey walked i.e.

⇒ x+0.5  . We represent the distances covered East and North from the campsite in the following sketch: Distances covered are straight & are in right triangle !

Area of triangle = \frac{1}{2}base(height)

⇒ Area = \frac{1}{2}base(height)

⇒ Area = \frac{1}{2}(2x+1)(x+0.5)

⇒ Area = \frac{(2x+1)(x+0.5)}{2}

Therefore , function that could be used to represent the area of the triangular region formed by the girls' locations and the campsite at 2:30 p.m. is Area = \frac{(2x+1)(x+0.5)}{2} .

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1 year ago
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