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earnstyle [38]
3 years ago
7

What is the length of arc S shown below? Enter an exact expression in units. The angle in the figure is a central angle in radia

ns.

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0
<h2>Answer:</h2><h2>The length of arc S = 47.1</h2>

Step-by-step explanation:

The radius of the circle = 10

The central angle of the arc = 3\frac{\pi }{2}

By formula, S = rΘ

where S is the lenth of the arc

r is the radius of the circle

Θ is the central angle of the arc

substituting the values in the formula, we get

S = rΘ = 10 (3\frac{\pi }{2}) = 15\pi = 47.1

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Ngth of the third side. If necessary, write in simplest radical form.<br> 5<br> V11
statuscvo [17]

Pythagoras theorem - The length of the third side is 6.71unit

What is Pythagoras theorem ?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The Pythagoras theorem's equation is as follows:

H² = P² + B²

The triangle's third side will be the following length:

Let x represent the triangle's third side's length.

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

x = 6.71 units

Hence, the third side of the triangle is 6.71unit

To learn more about Pythagoras theorem's click on the link

brainly.com/question/343682

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3 0
1 year ago
3. A driver's path when diving off of a platform is given by h(t)=-5t^2+10t+20, where h(t) is the distance above water, in feet,
agasfer [191]

Answer:

3a.=20ft  3b.=1 second 3c.=3.25seconds

Step-by-step explanation:

Hello, Courtney!

h(t)=-5t^2+10t+20

20 would be the height so 3.a would be 20ft

3b.  25=-5t^2+10t+20

-5t^2+10t-5 then divide by greatest factor the answer would 1 second

3c.    0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.

I hope this helps

best you know who!

5 0
3 years ago
Examine the power 5^3<br> What is the base?
Keith_Richards [23]

Answer:

5

Step-by-step explanation:

the base is the original number which you perform an action on. in this scenario the action is 3. 5 is being cubed

7 0
3 years ago
-5 - 12 change to addition with answer
nasty-shy [4]

hello there

-5 - 12 = -17

when you have two negative number you suppose to add them and keep the negative sign as i just did below

hope this help

may i please have a brainliest

thx

8 0
3 years ago
Graph tthe system of equations below on a piece paper. what is the solution y=2x-3 y=-x+3
Katen [24]

Answer:

Look at the explanation.

Step-by-step explanation:

Start y=-2x-3 at the Y -3 and X 0, then go up two and to the right one, like a staircase. For y=-x+3 start on Y 3 and X 0 and go down 1 x and 1 y like a downstair staircase with 1 unit down.

4 0
3 years ago
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