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atroni [7]
3 years ago
9

What is the measurement of BC to the nearest centimeter?

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer:

a   8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

a^2 = b^2 + c^2 - 2bc\cos A

a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ

a^2 = 25 + 121 - 110\cos 39^\circ

a^2 = 60.51

a = 7.779

Answer: a = 8 cm

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A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do t
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To answer this question you will need to know how many inches the car travels Per minute.

1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.

The convertible travels 0.75 mi./min.

2. Next you will convert this number of miles to inches.

There are 63,360 inches per mile.

0.75 x 63360 = 47520 inches per minute.

3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.

C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.

4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.

47520/150.72 is about 315.3 rotations per minute.



7 0
3 years ago
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Solve −4(x + 10) − 6 = −3(x − 2).<br> A.−40 B.−46 C.−52 D.52
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The answer is -52 so it would be C
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3 years ago
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A scale model of a tiger measures 1.5 feet long. The Tigers actual length is 9 feet. What is the scale of the model?
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The\ scale\ of\ the\ model\ =  \frac{A\ scale\ model\ of\ a\ tiger}{The\ tiger's\ actual\ length} =  \frac{1.5}{9} =1:6
6 0
3 years ago
What is the measure of one angle of a regular convex 20-gon
Contact [7]

Answer:

The measure of one angle of a regular convex 20-gon is 162°

Step-by-step explanation:

* Lets explain how to solve the problem

- A convex polygon is a polygon with all the measures of its interior

 angles less than 180°

- In any polygon the number of its angles equal the number of its sides

- A regular polygon is a polygon that is all angles are equal in measure

 and all sides are equal in length

- The rule of the measure of an angle of a regular polygon is

 m=\frac{(n-2)180}{n}, where m is the measure of each interior

 angle in the polygon and n is the numbers of the sides or the angles

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* Lets solve the problem

- The polygon is convex polygon of 20 sides (20 angles)

- The polygon is regular polygon

∵ The number of the sides of the polygon is 20 sides

∴ n = 20

∵ The polygon is regular

∴ All angles are equal in measures

∵ The measure of each angle is m=\frac{(n-2)180}{n}

∴ m=\frac{(20-2)180}{20}

∴ m=\frac{(18)180}{20}

∴ m=\frac{3240}{20}

∴ m = 162

∴ The measure of one angle of a regular convex 20-gon is 162°

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