1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rewona [7]
2 years ago
6

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of

the tunnel is 25 feet. What is the height of the tunnel 5 feet from the edge? Round your answer to the hundredths place.
9.99 feet
13.82 feet
24.65 feet
25.01 feet
Mathematics
1 answer:
rusak2 [61]2 years ago
5 0

The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1

Now plug x = a - 5 = 30 - 5 = 25

\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1

After solving:

\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}

\rm y^2=\dfrac{6875}{36}

y = ±13.819 ≈ ±13.82

Height cannot be negative

y = 13.82 feet

Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

You might be interested in
There are 250 students in a cafeteria, of which are 120 females and the rest are males.What percent of the students are female?
dalvyx [7]

48 percent of the kids are females and 52 percent are males

6 0
3 years ago
HELP PLEASE!!! Which of the following is the equation for X: ax^2 = bx? Select all that apply.
ki77a [65]
Ax^2 = bx Divide by x
ax^2/x = b
ax^(2 -1) = b
ax = b Divide by a
x = b/a

5 <<<< Answer.
x≠0
a≠0

5 0
3 years ago
Nolan has $20 in his bank account and can save $10 each week from doing chores. He wants to save more than $85 for a new video g
ser-zykov [4K]

Answer:

He will have to save up for 7 weeks for the new video Game

Step-by-step explanation: Simple Math

7 0
2 years ago
Read 2 more answers
F(5)=-3x+10 what will the domain and range be
Vladimir [108]
F= -3/5 x+2. Hope this helps

3 0
3 years ago
A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is t
larisa86 [58]

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

6 0
3 years ago
Other questions:
  • For a standard normal distribution which of the following variables always equals 1
    9·2 answers
  • 6 divied by 57 jfjfdjfj
    10·1 answer
  • 1/4×[(-6.8)+(10.4)]+54.3
    13·2 answers
  • SALE 40% OFF!<br> If a badminton set has a sale price of $18, what was the original price?
    13·2 answers
  • Please I need to answer this for my finals quiz
    15·1 answer
  • Answer pls:) I would really appreciate it
    8·1 answer
  • How many degrees do the three angles of a triangle add up to be (use numbers not words)?
    8·1 answer
  • Write an equation to represent the situation: Jana's age, j , plus 5 equals her sister's age, s PLEASEEEEEEEEE I NEED THIS TODAY
    13·2 answers
  • Which of the following are needed to make an expression
    11·2 answers
  • For a school newspaper article, Cienna conducted a survey to find out students’ favorite subjects. She polled all the students i
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!