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nasty-shy [4]
3 years ago
15

The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w

idths for the rectangle. (Note: The formula for the perimeter of a rectangle is P=2l+2wP=2l+2w , where l is the length and w is the width). Express your answer in interval notation. Use decimal form for numerical values.
Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

w \in (0,41)

where w is width of rectangle.

Step-by-step explanation:

We are given the following in the question:

The perimeter of a rectangle must be less than 170 feet.

Length of rectangle = 44 feet

Perimeter of rectangle =

2\times (\text{Length + Width})

Let w be the width of rectangle.

According to the question,

P < 170\\2(44 + w)

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

w \in (0,41)

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Ilya [14]

Answer:

y≥1/2 x +1

Step-by-step explanation:

first the line in the graph is bold and not dotted

so the sign is either ≤ or≥

the shaded area is on the top , on this case it is greater than

the right answer is y≥1/2 x +1

7 0
3 years ago
Describe and correct the error in finding the measure of the angle
DerKrebs [107]

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

x = 42

Now you plug 42 into the exterior angle equation

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5 0
3 years ago
a car rental agency charge 20 per day plus 30 cents per mile. if you had one of the car for 5 days and your total bill is $197.5
Flura [38]

Answer:

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Step-by-step explanation:

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20(5) + 0.3x = 197.5

100 + 0.3x = 197.5

100 - 100 + 0.3x = 197.5 - 100

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6 0
3 years ago
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Slav-nsk [51]

Answer:

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Step-by-step explanation:

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Fill in the equations and solve. One should have the plus and the other should have the minus and that's how you get the 2 different answers.

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4 0
1 year ago
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Sergeeva-Olga [200]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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