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Ivenika [448]
3 years ago
15

How much string is out if a kite is 100 feet above the ground and the string makes an angle of 65° with the ground?

Mathematics
1 answer:
olasank [31]3 years ago
5 0
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
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The solution for the following system of equations is shown on the graph. What is the solution?
Bingel [31]

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

  • Elimination method
  • Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = \frac{1}{3} x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 =  \frac{1}{3} x + 3

Subtract  \frac{1}{3} x from both sides

\frac{8}{3} x = 8

Divide both sides by \frac{8}{3}

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0
3 years ago
It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked
tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\frac{1}{tb} = \frac{1}{5} + \frac{1}{10}

\frac{1}{tb} = \frac{4}{20} + \frac{2}{20}

\frac{1}{tb} = \frac{6}{20}

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0
3 years ago
Perform the indicated operation. x+5/3 -x-3/2=
EastWind [94]

Step-by-step explanation:

to add or subtract in this case you have to the same common denominator. but what ever you do to the denominator you have to do to the numerator. top = numerator and bottom = denominator.

7 0
3 years ago
Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.
Ber [7]

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

6 0
3 years ago
Every integer is an irrational number.<br><br> True<br><br> False
Westkost [7]

Answer: true

Step-by-step explanation:

6 0
3 years ago
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