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fiasKO [112]
3 years ago
13

Joseph's uncle wants to put shingles on the outside walls and solar panel the roof of his barn shown at the right. It costs $2.5

0 for each square meter of shingles, while solar panals cost $4.00 per square meter. How much will this project cost?
Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the measurement of the roof is 5 m by 9 m on  both sides. Hence:

Area of roof = 2 (5 * 9) = 90 m²

Since solar panels cost $4.00 per square meter, therefore:

Cost of solar panels = $4.00 per square meter * 90 m² = $360

The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²

The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²

Area of each side wall of barn = 9 m * 7 m = 63 m²

Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²

Cost of shingles = $2.50 for each square meter * 246 m² = $615

Total cost of project = $615 + $360 = $975

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Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

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2 years ago
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin
mrs_skeptik [129]
The equation is y=-3/4(x-3)^2-7
6 0
3 years ago
Greatest common factor of 48,120
AlekseyPX
Hello. 

Let's figure this out.

I'll list all the factors to help us answer your question. 

48: 1
2
3
4
6
8
12
16
24
48

120: 1
2
3
4
5
6
8
10
12
15
20
24
30
40
60
120 

We can see that the GREATEST common factor (GCF) between

49 and 120 is: 24

You're welcome.
5 0
3 years ago
Read 2 more answers
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Answer:

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x=950 cost of dryer

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Step-by-step explanation:

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Ex.: the picture

So let's do the same!

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