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Darina [25.2K]
1 year ago
5

Find the area of the figure. (Sides meet at right angles.) ​

Mathematics
1 answer:
ikadub [295]1 year ago
8 0

Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

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I need help with #6 please.
Juliette [100K]

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

7 0
2 years ago
Find the area of each semicircle. Round to the nearest tenth. Use 3.14 for Pi.
pentagon [3]

Answer:

1. 69.4 / 2 = 34.7

2. 38.5 / 2 = 19.25

3. 201.1 / 2 = 100.55

I got these by caculating the area and dividing it by 2

4 0
2 years ago
Solve. <br><br> 6x − 8 = −44 <br><br> x =
fgiga [73]
I think the best value for x is -9 because 6 x -9 = 54, minus 8 equals -44.
3 0
2 years ago
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A street that is 564ft long is covered in snow. City workers are using a snowplow to clear the street. A tire on the snowplow ha
Goshia [24]

Answer:

the diameter of the tire is

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Step-by-step explanation:

3.14/47 by 13

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3 years ago
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16. A plastic tray is shown, with the dimensions
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Answer:

calculate it. its not cheating, its like flash cards but better, besides its made for that reason.;)

Step-by-step explanation:

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