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xeze [42]
4 years ago
13

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120 degrees

Mathematics
1 answer:
NemiM [27]4 years ago
6 0

the length of arc is 26.667 cm

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Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to
AveGali [126]
Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
4 0
3 years ago
Simplify expression x^2 - xy + 2x/ 2x, step by step please. ​
Papessa [141]

Answer:

x^2 - xy + 1

Step-by-step explanation:

x^2 - xy + 2x/2x

2x/2x = 1

x^2 - xy + 1

This is the furthest we can simplify this expression with the given information.

4 0
3 years ago
The volume, V, of a cylinder is equal to this area base, B, times it’s height h. The diameter of a cylinder is 18 feet and its h
umka2103 [35]

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what was the importance of the meetings of the second continental Congress quizlet answers

5 0
2 years ago
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
If you write 0.00002836 in scientific notation, what exponent completes the notation?
rosijanka [135]
2.836x10^-5 is going to be your answer
6 0
3 years ago
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