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Dafna11 [192]
3 years ago
11

You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

The roller coaster is an illustration of a right triangle

  • The equation needed to solve the horizontal distance is h^2 =30^2 -25^2
  • The horizontal distance is 16.58 feet

<h3>How to determine the equation</h3>

The height is given as: 25 feet.

From the complete question, the length of the roller coaster is 30 feet.

Represent the horizontal distance with h.

Given that the roller coaster represents the hypotenuse side length, the following equation can be used to find h

30^2 = h^2 + 25^2

Collect like terms

h^2 =30^2 -25^2

<h3>The horizontal distance</h3>

In (a), we have:

h^2 =30^2 -25^2

This gives

h^2 =275

Take the roots of both sides

h =16.58

Hence, the horizontal distance is 16.58 feet

Read more about right triangles at:

brainly.com/question/2437195

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Step-by-step explanation:

2x - 10y > -20

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Five percent is the same as 1:20?
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Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
Solve the system of equations.<br> ​7x−3y=20<br> y=5x−4<br> ​ x= <br> y=
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Step-by-step explanation:

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What is y+1=2(x-4) written in standard form
IrinaVladis [17]

Answer:

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Step-by-step explanation:

The equation of a line in standard form is

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Rearrange y + 1 = 2(x - 4) into this form

y + 1 = 2x - 8 ( add 8 to both sides )

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9 = 2x - y ⇒ 2x - y = 9 ← in standard form

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