2 years ago

Find the measure of the missing angle. a 66°

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

24°

Step-by-step explanation:

the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°

thus, a and 66° combine to make 90°

a + 66° = 90°

subtract 66 from both sides to get a

a = 24°

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Pls help :Find the missing side or angle.<br> Round to the nearest tenth.

Nitella [24]

Answer:

C° = 71.6056

Step-by-step explanation:

Law of Cosines: c² = a² + b² - 2abcosC°

Step 1: Plug in known variables

29² = 30² + 15² - 2(30)(15)cosC°

Step 2: Evaluate

841 = 900 + 225 - 900cosC°

-59 = 225 - 900cosC°

-284 = -900cosC°

71/225 = cosC°

cos⁻¹(71/225) = C°

C° = 71.6056

And we have our answer!

7 0

2 years ago

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Juan builds a square dog pen that has an area of 100 square feet. He then builds a second pen that has an area of 49 square feet

EleoNora [17]

Answer:

51%

Step-by-step explanation:

Simple. 100-49=51

4 0

2 years ago

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A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to

solong [7]

Refer to the diagram shown below.

w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.

The total space needed is
D = 4(w+d) + w
= 5w + 4d
= 5*6875 + 4*3.5
D = 48.375 in or 48 3/8 in

Answer: 48 3/8 inches or 48.375 inches