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Tcecarenko [31]
3 years ago
5

HELP ME PLEASE ASAP

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

C. 33

Step-by-step explanation:

So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.

Paha777 [63]3 years ago
3 0

Answer:

33

Step-by-step explanation:

angles on a straight line sum up to 180°

104+x+x+10=180

114+2x=180

2x=180-114

2x=66

x=33

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Answer:

  7. 183 in^2

  8. 192.42 m^2

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Step-by-step explanation:

7. The figure seems most easily seen as a trapezoid with a triangle removed. The trapezoid has bases of 26 and 14, and a height of 15. So, its area is ...

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8. The area of the donut can be found different ways. One way is to multiply the width of the shaded area (3.5 m) by the circumference of its centerline.

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9. As in problem 7, this can be treated as a parallelogram less a triangle. Here, we need to do a little work to find the area of the triangle.

The triangle of interest is a right triangle with hypotenuse 23.8 ft and one leg 21 ft. The Pythagorean theorem can be used to find the other leg:

  h = √(23.8^2 -21^2) = √125.44 = 11.2

Then the area of the triangle is ...

  A = (1/2)bh = (1/2)(21)(11.2) = 117.6 . . . ft^2

The area of the parallelogram (including the triangle) is ...

  A = bh = (23.8 ft)(15 ft) = 357 ft^2

So, the shaded area is the difference ...

  357 ft^2 -117.6 ft^2 = 239.4 ft^2

_____

<em>Comment on significant digits</em>

The area in problem 8 may be considered to be 192.325 m^2 if you are required to use 3.14 as the value for pi. Since that value is only good to 3 significant digits, it is quite pointless to report the answer to 6 significant digits when using that value. It is quite reasonable to use 192 m^2 for the answer, especially if you're required to round to whole numbers.

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