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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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The store paid $2.70 for a book and sold it for $6.20. What is the profit as a percent?
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Answer:

129.6% profit

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3)In order to find the percentaage you multiply 35/27 by 100 = 129.629 recurring. This rounded to 1 decimal place is 129.6%

Thank you for reading, please let me know if I've missed anything out!

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2 years ago
Whats the answer for 4c-2=9c+8
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Step-by-step explanation:

3 0
3 years ago
1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
gavmur [86]

Answer:

1. H = 29 cm

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Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

L^{2} = H^{2} + B^{2}

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm

2. The two equal angles (θ) can be found using the following trigonometric identity:          

cos(\theta) = \frac{B}{L}

\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}

Hence, the two equal angles are 44°.

I hope it helps you!  

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3 years ago
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aivan3 [116]

Answer:

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Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

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2

The answer = x^3 - 6x + 2

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3 years ago
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