His seat is in the terrace section, about 198 feet from the center of the court. If the angle of depression to the court is 57° which of the following represents the height Kylie sitting? Round to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

Kylie is sitting 166.1 ft above the court

Step-by-step explanation:

Given the information. A diagram as shown can be drawn.

As this situation creates a right triangle, we can use the sin function to solve for the height.

We can set up the equation as follows

sin(57)=(h)/(198)

Then we can solve for h

h=198sin(57)

When solved

h = 166.056 ft

Which rounds to

h = 166.1 ft


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If you deposit $750 into a bank account that pays 1.75% interest compounded continuously, how much will be in the account after 5 years?

Answers

Answer:

One it depends on when the interest  when it gains

Step-by-step explanation:

in the 5 years in it each year it gains 13.125

13.12*5= your answer 65.6+750=815.6

in a repeating musical pattern, there are 56 beats in 7 measures. how many measures are there after 104 beats?

Answers

Answer  

Find out the  how many measures are there after 104 beats.

To prove

As given

In a repeating musical pattern, there are 56 beats in 7 measures.

i.e

56 beats = 7 measures

1 beats = (7)/(56)\ measures

Now find out measures of 104 beats .

Measures\ for\ 104\ beats\ = (7* 104)/(56)

                                                 = 13 measures

Therefore the 13 measures are there after 104 beats .


104×7=728
728÷56=13

answer: 13

What's 2% as decimal

Answers

0.02

I hope I helped you.
Just as you would multiply a decimal number by 100 to get a percent, this time you divide, since your doing the opposite. If you divide 2 by 100, it gives you 0.02. That's your answer :)

2x+4≥24
solve for x
plz help me!

Answers

In order to solve for x, we must isolate it on one side of the inequality.

2x + 4 ≥ 24

The first step we will take is subtract 4 from both sides, since it is being added on the side with the variable.

2x + 4 ≥ 24
     - 4    - 4

And the inequality now is 

2x ≥ 20

Now, all we have to do is divide both sides by 2, since the variable is being multiplied by 2.

2x ≥ 20
 /2     /2

And the final inequality is

≥ 10
Hope that helped! =)

The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is 1 meter deep at the shallow end and 8 meters deep at the other end. Find the volume of the water in the pool when it is full.

Answers

Answer:

V = 4500 m³

Step-by-step explanation:

The cross section of the swimming pool is a trapezium with parallel sides 1m and 8m (depth of both ends) and 50m (length of pool) as the perpendicular distance between the parallel sides.

The width of pool 1m can be the length of cross section.

Length of swimming pool = 50m

Breadth of the pool = 20m

Depth of the pool=1m and 8m

Let's assume it slopes uniformly, thus;

Volume of water when full;

V = ½[(1 + 8) × 50] × 20 = 25 × 9 × 20

V = 4500 m³

Answer:

4500 m³

Step-by-step explanation:

The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is 1 meter deep at the shallow end and 8 meters deep at the other end.

The pool can be divided into two sections, the first section (top) is a rectangular prism which sits on top of the bottom section.  The second section (bottom) is a triangular prism sits below the top section.

The rectangular prism has a length of 50 m, width of 20 m and a height of 1 m.

The volume of a rectangular prism = length × width × height = 50 × 20 × 1 = 1000 m³

The triangular prism has a base of 50 m, length of 20 m and a height of 8 m - 1 m = 7 m.

The volume of a triangular prism = 1/2 × base × length × height = 1/2 × 50 × 20 × 7 = 3500 m³

The volume of water in the pool =  volume of a rectangular prism + volume of a triangular prism = 1000 m³ + 3500 m³ = 4500 m³

Tickets to the museum cost $18 for adults and $12 for children. A group of 20 people went to the museum, and the tickets cost $324. The system of equations models this situation, where x is the number of adults and y is the number of children.x-y=20
18x+12y=324

How many adults and how many children were in the group?

A.
8 adults and 12 children

B.
10 adults and 10 children

C.
12 adults and 8 children

D.
14 adults and 6 children

Answers

As far as i can see, there is something wrong with one of the equationsthat are given in the question. It is mentioned in the question that atotal of 20 people went to the museum. That means that among those 20people there were children as well as adults. So the equation that ismentioned in the question given below is wrong.
x - y = 20
The correct equation would be x + y = 20
The second equation given in the question is absolutely correct.
18x + 12y = 324
Diving both sides by 6 we get
3x + 2y = 54
Now let us get back to the first equation
x + y = 20
x = 20 - y
Putting the value of x in the second equation we get
3x + 2y = 54
3(20 - y) + 2y = 54
60 - 3y + 2y = 54
60 - y = 54
-y = 54 - 60
-y = -6
y = 6
Then we get that the number of children going to the museum is 6
So
The number of adults = 20 - 6
                                   = 14
So the total number of adults going to the museum is 14 and the number of children going to the museum is 6. The correct option in the question is option "D".