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
Arada [10]
3 years ago
5

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of

the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.
4.01 feet
9.37 feet
13.08 feet
29.85 feet
Mathematics
2 answers:
slavikrds [6]3 years ago
7 0

Answer:

Step-by-step explanation:

Example Equation of an ellipse with horizontal major axis with center at (0,0):

x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1

For given problem:

b=20

b^2=400

a=30

 

a^2=900

equation: x%5E2%2F900%2By%5E2%2F400=1

y%5E2%2F400=1-x%5E2%2F900

Vlada [557]3 years ago
7 0

Answer:

4.01 _feet

=29.850

Step-by-step explanation:

Espero averte ayudado :-)

You might be interested in
Find the missing side of the right triangle. Side a = 10 and side b = 5
Levart [38]

Assuming that C is the hypotenuse...

The formula you want to use is:

a^2 + b^2 = c^2

We start by squaring 10, which is 100. 5^2 is 25. Now that we have the values, we can do the equation.

100+25=c^2                  100+25=\sqrt{125}

Now, square root \sqrt{125}

C= 11.180

3 0
2 years ago
Which expression is equivalent to 2x^(2)+11x+5
beks73 [17]

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )

= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term

= (x + 5)(2x + 1) ← in factored form

6 0
3 years ago
AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

6 0
3 years ago
5,9,4,5,7,1,3,6<br> What is the median?<br><br> A. 8<br> B. 1<br> C..5<br> D. 4.
Serhud [2]

Answer: The median is 5.

Step-by-step explanation: If you add all the numbers up, you get 40. There are 8 numbers, so 40 divided by 8 is 5.

5 0
3 years ago
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same t
ratelena [41]

Answer:

32km

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Point F is on circle C.
    14·2 answers
  • River rambler charges $25 per day to rent a kayak. How much will it cost to rent a kayak for 5 days? Write and solve an equation
    12·1 answer
  • a number divided by 43 has a quotient of 3 with 28 as the remainder find the number and show all your work question two when div
    13·1 answer
  • Please help me for 40p and brainliest for 5 please
    8·2 answers
  • Whuch value is 23x10,000,000 written using exponents
    6·1 answer
  • Why 1 hundred 4 tens and 14 tens name the same amount.
    12·2 answers
  • If X = 18 inches, Y = 80 inches, and Z = 82 inches, what is the cosine of B?
    6·1 answer
  • The sum of two numbers is 14. the larger number minus three times the lesser number -2. what is the lesser number?
    7·2 answers
  • Write the equation of the line in slope-intercept form using y=mx+b​
    15·1 answer
  • Help me please i dont get it.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!