MATHEMATICS HIGH SCHOOL

A bridge is built in the shape of a semielliptical arch. The bridge has a span of 100 feet and a maximum height of 20 feet. Choose a suitable rectangular coordinate system and find the height of the arch at a distance of 30 feet from the center

Answers

Answer 1
Answer:

Answer:

16 feet height of the arch at a distance of 30 feet from the center

Step-by-step explanation:

Given data

span = 100 feet

height = 20 feet

to find out

the height of the arch at a distance of 30 feet from the center

solution

we know the equation of elliptical i.e.

x²/a² + y²/b² = 1     ......................1

from question we can say that length of major axis i.e

2a = 100

so a = 50

and height is

b = 20

so put a and b in equation 1

x²/a² + y²/b² = 1

x²/50² + y²/20² = 1

x²/2500 + y²/400 = 1

y²/400  = 1 -  x²/2500

y / 20 =  

y = 20

so now take value 30 for function f(30)

f(30) = 20

f(30) = 20

f(30) = 16 feet

so 16 feet height of the arch at a distance of 30 feet from the center


Related Questions

MIDDLE SCHOOL

Identify the fractions as proper, improper, or mixed; however, if the fraction is equivalent to one, indicate so. 6/5

Answers

6/5 is an improper fraction as the numerator is greater than the denominator.

and it could be converted to mixed fraction by the way
This is an improper fraction. It can be put into a mixed number, which would be1&1/5.
MIDDLE SCHOOL

Write factor pairs of 60 ( be pacific)
Thanks! ❤️

Answers

Answer:

1 x 60

2 x 30

3 x 20

4 x 15

5 x 12

6 x 10

MIDDLE SCHOOL

A cafeteria used 5 gallons of milk in lunch. How many 1 quart containers of milk did they use?

Answers

They used 20, 1 quart containers of milk.
MIDDLE SCHOOL

What is the solution to the equation x + 7.5 = 28.5? 3.8 21 36 213.75

Answers

X+7.5=28.5
X=28.5-7.5
X=21
The first step for solving this equation is to move the constant to the right side by adding its opposite to both sides.
x + 7.5 - 7.5 = 28.5 - 7.5
Now eliminate the opposites.
x = 28.5 - 7.5
Lastly,, subtract the numbers on the right to find your final answer.
x = 21
This means that the correct answer to your question is going to be options B.
Let me know if you have any further questions.
:)
MIDDLE SCHOOL

How do i subtract this?

(5x^(2)+4x-1)-(-4x+-4)

pls show me how

Answers

Step-by-step explanation:

first do PEMDAS which is

P- parenthesis

E- exponent

M- multiplication

D-division

A- addition

S- subtraction

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

YOUR ANSWER IS^^^^

MIDDLE SCHOOL

What is 246 divided by 3

Answers

246/3 equals 82 if you divide it.
246 divided by 3 is 82.
COLLEGE

Sam is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 3 flavors, and 2 toppings to choose from. How many different ice cream desserts could he order?

Answers

Answer:

Sam can order 12 ice cream deserts.

Step-by-step explanation:

Sam has choices from 2 sizes, 3 flavors, and 2 toppings.

For 2 sizes come 3 flavors, this means there are 2 * 3 = 6 types of ice creams Sam can get from the combination of sizes and flavors.

Now these 6 combinations come with additional choice of 2 toppings. This means when these the toppings are added, Sam gets 6*2 =12 different types of ice creams Sam can by.

Thus, Sam can order 12 different ice-creams.

HIGH SCHOOL

Factor (81x^4)-336,960

Answers

Find the factors
81=3 times 3 times 3 times 3
336960=2 times 2 times 2 times 2 times 2 times 2 times 3 times 3 times 3 times 3 times 5 times 13
there is a 3 times 3 times 3 times 3 in both numbers (multiplied to get 81) so we divide both numbers by 81
81((x^4)-4160)
that is the factored form
HIGH SCHOOL

chuck jogged the same distance on tuesday and friday, but jogged 8 miles on sunday . if he ran a total of 2o miles, how many miles did he run on tuesday?

Answers

2x + 8 = 20
2x = 20 - 8
2x = 12
x = 12/2
x = 6.....he ran 6 miles on Tuesday...also ran 6 miles on Friday
Random Questions