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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

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What’s is x=5y for y

Margarita [4]

Answer:

$y=\frac{x}{5}$

Step-by-step explanation:

$\frac{x = 5y}{5}$

For the y to cancel out, you would have to divide y by 5. Whenever you do one thing to a side, you have to do the same on the other side. Once you do so, you'll get : $\frac{x}{5}$

Hope this helps!!

8 0

3 years ago

Read 2 more answers

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia

serious [3.7K]

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994). is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

7 0

3 years ago

The table represents a function.

mezya [45]

Answer:

-8

Step-by-step explanation:

You are given the following table representing the function f(x):

$\begin{array}{cc}x&f(x)\\-4&-2\\-1&5\\3&4\\5&-8\end{array}$

This means

$f(-4)=-2\\ \\f(-1)=5\\ \\f(3)=4\\ \\f(5)=-8$

Hence,

f(5)=-8

8 0

3 years ago

Read 2 more answers

Factor the GCF: 24x3 + 8x

disa [49]

Answer:

8x(3x^2 +1)

Step-by-step explanation:

24x^3 + 8x

We can factor out 8x

8x(3x^2 +1)

4 0

3 years ago