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tatiyna
3 years ago
15

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl

e. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build?

Mathematics
2 answers:
emmainna [20.7K]3 years ago
6 0
Area of a triangle:
A (triangle )= 4 · 6 / 2 = 12 ft²
150 - 12 = 138 ft² ( the maximum area of the rectangle )
L = ?
W = 6 ft
A ( rectangle ) = L · W
L · 6 = 138
L = 138 : 6 = 23 ft.
Answer: the maximum length of the base of the rectangle he can build is 23 ft.
vesna_86 [32]3 years ago
6 0

Answer:

23 ft

Step-by-step explanation:

hope this helps you out

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Step-by-step explanation:

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3 0
3 years ago
????????????????????????????
Nina [5.8K]
X= 70 degrees
Y= 70 degrees

Understand that every triangle has three angles and they add up to 180 degrees.

If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).

Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.

Now if our 40 degreed angle is now 20 degrees, we have an unknown angle and the triangle in total now adds up to 90 degrees we can set up an equation.

20 + y = 90

Y = 70

Since X and Y are equal, X will also be 70.

If we return to to the isosceles triangle before it was split (use your photo for reference) and we add 40 +70 + 70 we will get 180 degrees. Which is the standard total of degrees for any triangle that is not a 90 degreed triangle.

I hope this helps. Feel free to ask questions.

Below I uploaded my work.

8 0
1 year ago
Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company curre
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<span>Average profit from the sale of 1 piece of furniture = 3x + 1 Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1. Therefore, Average profit of total furniture = Average profit X Average total of furniture sold = (3x + 1) X (3x - 1) = 9x^2 - 1</span>
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3 years ago
The measure of RST can be represented by the expression (10x+18). What is m RST rounded to the nearest hundredth?
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Answer: 90.86

i got this questions

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1 year ago
How do I simplify this?
kakasveta [241]
I believe this would be the solution.

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3 years ago
Read 2 more answers
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