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sattari [20]
3 years ago
13

a one way road passes under an overpass in the shape of half an ellipse, 15 ft. high at the center and 20 ft wide. assuming a tr

uck is 12 ft. wide what is the tallest truck that can pass under the overpass?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Answer:

The tallest truck that can pass under the overpass would be 9 feet in height

Step-by-step explanation:

This problem can be represented by an ellipse with a vertical major axis of the standard form:

(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center.

center: (0,0) (center line of road)

a=15 ft (height of overpass at center)

a^2=225

b=10 (1/2 the width of the road)

b^2=100

equation of ellipse:

x^2/100+y^2/225=1

The point at which a truck 16 ft wide would touch the overpass would have and x-coordinates �8 ft from center. Its y-coordinate is the answer to given problem.

Plug in x=8 ft in equation to solve for y.

8^2/100+y^2/225=1

y^2/225=1-64/100

y^2=225-225*64/100=81

y=9 ft

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Answer:

The measure of angle x is 25 degrees.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."

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3 years ago
Please help me! I need it
Studentka2010 [4]

Answer:

About 0.5

Step-by-step explanation:

By the law of sines:

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Hope this helps!

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3 years ago
Can Someone Please Help Me With This, Thanks! :)
Murrr4er [49]

Answer:

405

Step-by-step explanation:

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7 0
1 year ago
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The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame
qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

{\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%

{\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.



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3 years ago
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What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​
lbvjy [14]

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

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Hence,  

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