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3 years ago

The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

The perimeter is the sum of the outside dimensions.

b1 = 87 - 32 - 14 - 13 = 28 in.

Area = (32 + 28) /2 x 12 = 60/2 x 12 = 30 x 12 = 360 square inches.

Divide area by the amount 1 can covers:

360 / 50 = 7.2 cans, round up to 8 cans are needed.

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Can someone help me with this question ? Show steps please

jek_recluse [69]

Answer:

B) $\boxed{A_T=108\;in^2}$

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

$A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}$

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

$A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}$

Finally, we sum both of the areas found to calculate the total area.

$A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}$

So, the answer is option B).

4 0

3 years ago

14 boys and 21 girls will be equally divided in to each groups what is the biggest number the you can divide the groups into

11Alexandr11 [23.1K]

By 3 students each by the way first

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3 years ago

20 POINTS PRIZE!!!!!!!!!!! I SOILED MY TUNIC! SOMEBODY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!

maw [93]

Question 4 is d question 3 is c

5 0

3 years ago

One Year, the price of wheat was $8.87 per bushel. The next year, the price was $9.60. Round the price per bushel of wheat for e

Alex787 [66]

Next year the price is going to be 10.23

3 0

3 years ago

One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein an

nikitadnepr [17]

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

⇒ p = 1.5 grams

It means the snack contains 1.5 grams of protein.

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3 years ago