All categories

2 years ago

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]2 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

You might be interested in

What is true about 3 times 9 ? 1) it’ is 3times smaller than 9 2) it is 3 less than 9 3) it is 3times as much as 9 4) it is 3 mo

Eva8 [605]

Answer:

3 is the correct answer (see explanations for each possible choice)

Step-by-step explanation:

1 cannot be right because 3 times smaller than 9 would be 3 as 1/3*9=3

2 cannot be right because 3 less than 9 is 9-3=6

3 is right because 3 times as much as 9 is 9*3=27

4 cannot be right because 3 more than 9 is 3+9=12

8 0

2 years ago

Read 2 more answers

What is 8 - 3x > -25 because i have been wondering all day

Svetllana [295]

Answer:

$8 - 3x > -25 : \left[\begin{array}{ccc}solution: x < 11\\Interval Notation:(-\infty,11)\end{array}\right]$

Step-by-step explanation:

$8-3x>-25$

Subtract $8$ from both sides:

$8-3x-8>-25-8$

Simplify:

$-3x>-33$

Multiply both sides by $-1$ (reverse the inequality):

$\left(-3x\right)\left(-1\right)$

Simplify:

$3x$

Divide both sides by $3$ :

$\frac{3x}{3}$

Simplify:

$x < 11$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

8 0

3 years ago

Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum. How much more would he have gained if he had

lubasha [3.4K]

Ahmed could have gained 61 rupees more, if had given had given in compound interest.

<em><u>Solution:</u></em>

Given that Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum

<em><u>Simple Interest calculation:</u></em>

Principal = 8000

Rate of interest = 5%

Time = 3

Formula:

$S.I=\frac{p\times n\times r}{100}$

Where , "p" is the principal and "n" is the number of years and "r" is the rate of interest

Substituting the values in formula,

$S.I = \frac{8000 \times 3 \times 5}{100}\\\\S.I = 80 \times 3 \times 5 = 240 \times 5\\\\S.I = 1200$

<em><u>Compound Interest calculation:</u></em>

Principal = 8000

Rate of interest = 5% compounded annually

Time = 3

Formula:

$C.I=P(1+\frac{R}{100})^n-P$

Substituting the values in formula,

$\Rightarrow C.I=8000(1+\frac{5}{100})^3-8000\\\\\Rightarrow C.I=9261-8000\\\\\Rightarrow C.I=1261$

Therefore, the difference between the interests:

1261 - 1200 = 61

Thus he could have gained 61 rupees more, if had given had given in compound interest.

7 0

3 years ago

Andrea wants to plant a garden and surround it with decorative stones.She has enough stones to enclose a rectangular garden with

beks73 [17]

<h2>Sorry but I don't know!!</h2>

3 0

2 years ago

What is the circumference of this circle, in centimeters? Use for .

Orlov [11]

Answer:

what is the circle.

Circumference is diameter x 3.14.

Diameter is the whith of a circle.

Ex. diameter = 4

4 x 3.14 = 12.6cm.

Step-by-step explanation:

5 0

2 years ago