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Naddika [18.5K]
3 years ago
8

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than

30 inches of wood to use. Select the system of inequalities that represents the possible length, l, and the possible width, w, that her frame could have. A. l ≤ 12. 2l + 2w < 30 B. l > 12. 2l + 2w < 30 C. l ≤ 12. l + w < 30 D. l > 12. l + w < 30
Mathematics
1 answer:
svlad2 [7]3 years ago
5 0
The perimeter of a rectangle is
2l + 2w
This has to be less than 30 because she has less than 30 inches of wood altogether.
The length must also be "no more than", which means less than or equal to, 12 inches.
Option A satisfies both of these conditions.
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Tell whether the terms shown are like terms or unlike terms 5z, 5x, 5y
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Answer:

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24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is
katovenus [111]

Answer:

Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at  30° angle from the front wall.

Let h be the length of the roof line. And b the depth of the shed.

We can see it is a right angle triangle with opposite 20.2-11.5=8.7\ feet (see the attachment)

Now,

sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet

Also,

tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet

So, Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

3 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

It's correct because when you plug in one of the numbers in the list, it makes the equation equal. Example Below.

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7 0
3 years ago
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Aloiza [94]

Answer:

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sum(29 elements) = -16106127.33/(-1) = 16106127.33

The total income after 29 days is $16,106,127.33

8 0
3 years ago
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mestny [16]

Answer:

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6 0
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