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Nina [5.8K]
3 years ago
10

Please help! Questions above(the options I choose are incorrect for sure)

Mathematics
2 answers:
lakkis [162]3 years ago
7 0
1.- In this problem we have to find the area of the circle. We know that the formula to find the area of a circle is:
A= πr<span>² 
</span>Meaning area of the circle= 3.14*radius<span>² 
Since the radius is equivalent to half the diameter, and we know the diameter is 40, the radius is 40/2 or 20ft
Which means the area of this circle is equal to
3.14*20</span><span>²
Which is equal to 1256

2.- Here we need to find the radius
And since the diameter of the tablecloth is equal to 42+8, to find it we just need to divide 50 by 2 which gives us 25
50/2= 25

3.- This question asks for the area to obtain it we use the formula:
</span>A= πr² 
So...
Area= 3.14*25² 
Which is equal to 1962.5


ANSWERS:
1.- 1256 in² (option 2)
2.- 25''  (option 3)
3.- 1962.5 in² (option 3)

iogann1982 [59]3 years ago
3 0
The first one will be option B which is 1256ft
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Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

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