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Zina [86]
2 years ago
13

PLEASE HELP!!!!! 100 points!!!

Mathematics
2 answers:
Grace [21]2 years ago
7 0

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

BlackZzzverrR [31]2 years ago
6 0

Answer:

  • 26.7 m

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

<u>Use trigonometry:</u>

  • sine = opposite/hypotenuse
  • sin 22° = 10/x
  • x = 10 / sin 22°
  • x = 26.7 m (rounded)
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3 years ago
University Theater sold 556 tickets for a play. Tickets cost $22 per adultand $12 per senior citizen. If total receipts were $84
lawyer [7]
To find the answer, set up a system of equations.

Let x=adult tickets and y=senior citizen tickets.

x+y=556
22x+12y=8492

Change the first equation to make it easy to combine with the second equation.

y=556-x

Now substitute (556-x) for y in the second equation.

22x+12(556-x)=8492

Simplify and combine like terms.

22x+6672-12x=8492
10x=1820
x=182

182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.

556-182=374

374 senior citizen tickets were sold.
4 0
3 years ago
What is the unknown fraction?
Alborosie

Answer: 17/100

Step-by-step explanation: I first made 8/10 into 80/100 and then i did 97-80 which is 17 so the answer is 17/100.

8 0
3 years ago
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How many liters equal 105 cubic centimeters? 10.5 L 1.05 L 1050 L 0.105 L
seropon [69]
Hello!

1 cubic centimeter = 0.001 liter

105 cubic centimeters = 0.001 × 105

0.001 × 105 = 0.105

Answer ⇒ 0.105 L

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Answer:

The probability that they sit next to each other is 50%.

Step-by-step explanation:

Consider the provided information.

It is given that there are four seats within the row are first come, first served during boarding.

There are 4 seats and 2 customers (Karen and Georgia)

The total number of ways in which Karen and Georgia can sit is: ^4C_2

Now if they will sit together, then consider  Karen and Georgia as a single unit.

Thus, the number of ways in which they can sit together is: ^3C_1

The required probability is:

P=\frac{^3C_1}{^4C_2} \\\\P=\frac{3}{6}\\\\P=\frac{1}{2}

Hence, the probability that they sit next to each other is 50%.

6 0
3 years ago
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