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Lilit [14]
3 years ago
6

The​ architect's side view drawing of a​ saltbox-style house shows a post that supports the roof ridge. The support post is 8 ft

tall. The distance from the front of the house to the support post is less than the distance from the post to the back of the house. How far from the front of the house is the support post​ positioned?
Mathematics
1 answer:
marishachu [46]3 years ago
8 0
The side view of a saltbox-style house is an irregular pentagon. 
Let x as the distance from the house of the house to the support post
y is the distance from the post to the back of the house
We have the inequality
x < y
If the support post is 8 ft tall, then
y = 8/2 = 4 ft
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A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the widt
Alla [95]

Using the given information find the length and width of the base:

Perimeter = 2L + 2W

L = 3W

Replace L in the first equation:

Perimeter = 2(3W) + 2w

96 = 2(3W) +2W

Simplify:

96 = 6W +2W

96 = 8w

Divide both sides by 8:

w = 96 / 8

w = 12

The width is 12 inches.

The length = 3 x 12 = 36 inches.

Volume = L x W X H

Volume = 36 x 12 x 14

Volume = 6,048 cubic inches.

5 0
3 years ago
A shelf is the shape of a triangle. Find the angles of the triangle if the measure of the angle are in the ratio x:x:4x.
lesantik [10]
The value of x is 30; hence 4x is equal to 120. That is because the sum of the angles of a triangle is 180. So, add x, x and 4x together, you get 6x. Divide 180 by 6, you get 30. Hope this helped!
7 0
3 years ago
Which is greater 82\8 or 37\4.How do you know.extra answer 50 pt
ozzi
Divide both. 82/8=10.25 37/4=9.25 The first is greater.
4 0
3 years ago
PLease Help i need it
vredina [299]

Answer:

13 < n < 51

Explanation:

Basically to find the lowest possible length, all you need to do is subtract the lower number from the higher number (32 - 19), and to find the greatest possible length, add the lower number and the higher number (32 + 19). Then you'd plug it in to this inequality: a < n < b, a being the difference, and b being the sum. But, if the triangle were a right triangle that would be a whole different story.

3 0
3 years ago
Fred has 30 minutes to do a three-problem quiz. He spent 10 7/10 minutes on question a and 5 2/5 minutes on question b. How much
tatiyna

Answer:Fred has 13 9/10 minutes left for question C

Step-by-step explanation:

The total time that Fred has to do the three-problem quiz is 30 minutes.

He spent 10 7/10 minutes on question A. Converting 10 7/10 minutes to improper fraction, it becomes 107/10 minutes.

He spent 5 2/5 minutes on question B. Converting 5 2/5 minutes to improper fraction, it becomes 27/5 minutes.

Total time that Fred spent on question A and question B is

107/10 + 27/5 = (107 + 54)/10

= 161/10 minutes.

The amount of time that he has left for question C would be

30 - 161/10 = (300 - 161)/10 = 139/10

= 13 9/10 minutes

3 0
3 years ago
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