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ozzi
3 years ago
15

There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can yo

u create a path to 3 different roller coasters?
A. 120

B. 210

C. 720

D. 151,200
Mathematics
2 answers:
likoan [24]3 years ago
7 0

Answer This answer is incorrect. Refer to the video in the modules.

Step-by-step explanation:

Charra [1.4K]3 years ago
4 0

Answer:

  120

Step-by-step explanation:

If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...

  720/6 = 120 different combinations of roller coasters

_____

This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...

  nCk = n!/(k!(n-k)!)

  10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120

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A rhombus is a four-sided figure with all sides the same length. Points F(-2,-2), G(-2, 3), and H(2, 6) are three vertices of rh
masya89 [10]

Answer:

  20

Step-by-step explanation:

The sides of the 4-sided figure are the same length, so we can find the perimeter (sum of side lengths) by multiplying one side length by 4.

<h3>Side length</h3>

Points F(-2, -2) and G(-2, 3) lie on the same vertical line: x = -2. The distance between them is the difference of their y-coordinates:

  FG = (3 -(-2)) = 5

Each side is 5 units long.

<h3>Perimeter</h3>

The length of the four sides is ...

  P = 4s = 4(5) = 20

The perimeter of the rhombus is 20 units.

5 0
2 years ago
You are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet. If the course is 320 acres, how m
NemiM [27]
1 Acre = 43560 square feet 
1 Ton = 2000 pounds

320 Acres = 320 * 43560 square feet = 13939200 = <span>1393.92 * 10,000

</span>1393.92 *40 pounds needed = 55756.8
55756.8 / 2000= <span>27.8784 </span>
5 0
3 years ago
Read 2 more answers
Find the exact value
Mnenie [13.5K]

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }

\sin \frac{5\pi}{12} =  \sqrt{\frac{2+\sqrt{3}}{4} }

\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0
2 years ago
Solve the following system of equations by elimination. What is the value of x? x = 1.5 x = -1.5 x = 8 x = -8
Andru [333]

Using the elimination method, the value of x in the system of equations is calculated as: 8.

<h3>How to Solve a System of Equations by Elimination?</h3>

To solve a system of equations given using the elimination method, do the following:

Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:

4x - 10y = 2 --> eqn. 1

-15x + 10y = -90 --> eqn. 2

Add

-11x = -88

Divide both sides by -11

x = 8

Learn more about system of equations on:

brainly.com/question/14323743

#SPJ1

8 0
2 years ago
This isn't really a school-related question.It's more of a conflict I have with my self. So: I have a friend that constantly cop
ycow [4]
Well to be honest, you need to straight forward to her and tell her that you do not appreciate her copying you and tell her you dont want to be rude or anything, but this needs to stop.
8 0
3 years ago
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