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olga_2 [115]
3 years ago
14

You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bo

ttom of the screen structure. The vertical distance from the ground to your eye is 5.7 feet and the horizontal distance from you to the screen is 11 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.
Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

Step-by-step explanation:

The height of the screen is 1/2 tan^(theta) ( 1+ 22cot theta) ft, cot (theta) >1/22.

Let x = the height of the screen

Delta ABC sine rule

x/sin (theta) = C/sinC

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An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs
LenaWriter [7]

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

x+2y=10 -----> equation A

x+5y=16 -----> equation B

Solve the system by elimination

Subtract equation B from equation A

x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2

Find the value of x

substitute the value of y in any equation

x+2(2)=10

x+4=10

x=10-4

x=6

therefore

The charge for admission is $6 and the charge for each ride is $2

8 0
3 years ago
I was wondering what the answer to these problems is?
alina1380 [7]
The first one is 4
Second is 5/9
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7 0
2 years ago
Read 2 more answers
Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the
denis-greek [22]

Answer:

<em>19800 seconds, or 330 minutes, or 5 hours + 30 minutes</em>

Step-by-step explanation:

<u>Number Permutations</u>

We know the phone number has 7 digits, 4 of which are known by Mark. This leaves him 3 digits to guess with. We also know the last one is not zero. The number can be represented as

XXY

Where X can be any digit from 0 to 9 and Y can be any digit from 1 to 9. The first two can be combined in 10x10 ways, and the last one can be of 9 ways, this gives us 10x10x9 = 900 possible permutations.

If each possible number takes him 22 seconds, every possibility will need

22x900=19800 seconds, or 330 minutes, or 5 hours + 30 minutes

3 0
3 years ago
Picture attached, please simplify
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The answer is the second option given
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Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the li
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Answer:

Step-by-step explanation: 5

5 0
3 years ago
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