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Gnesinka [82]
3 years ago
14

A homeowner has 200 feet of fence to enclose an area for a pet.

Mathematics
1 answer:
marishachu [46]3 years ago
7 0
<h3>Answer:</h3>
  • (a) x = 50 maximizes the area. We assume that means 50 ft × 50 ft
  • (b) 2500 ft²
  • (c) domain: 0 ≤ x ≤ 100; range: 0 ≤ A ≤ 2500
<h3>Step-by-step explanation:</h3>

(a) The function describes a parabola that opens downward. The value of A(x) is zero when x=0 and when x=100. The vertex (maximum) is halfway between those zeros, at x=50. The dimensions are 50 and 100-50 = 50. The maximum area pen will be 50 ft square.

(b) A(50) = (50 ft)² = 2500 ft² . . . the maximum area

(c) A(x) will be negative if x < 0 or x > 100, so the domain is 0 ≤ x ≤ 100.

The value of A(x) ranges from 0 to its maximum, 2500. Hence the range is 0 ≤ A(x) ≤ 2500.

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Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

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2 years ago
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A 2,3 and 6. There you go. :)
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3 years ago
A coat that usually costs $123 is marked 1/3 off.What is the sale price of the coat. Round to the nearest dollar
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Step-by-step explanation:

If the coat is 1/3 off then you pay 2/3 of the price. To find a sale price, multiply the cost by 2/3.

123(2/3) = 246/3 = 82

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Anastaziya [24]

Answer:

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