Select the correct answer.

The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor

Gelneren [198K]

Let
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m

7 0

2 years ago

Hey PLEASE HELP DUE TODAY

nadya68 [22]

What the maning of that ?

4 0

2 years ago

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever

Mamont248 [21]

Answer: In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200 and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200 now solve for x

-100 -100

30x = 10x + 100

-10x -10x

20x = 100

x= 5

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for y.

y = 10(5) + 200

y = 50 + 200

y = 250

She will save $250 with either option.

7 0

2 years ago

IF YOU HELP ME NOW ILL GIVE BRAINLIST!

rewona [7]

Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$