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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 diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit
Musya8 [376]

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 8
  • l = 13
  • a = 15.69

Substitute the given values into the formula and solve for A:

\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}

\implies \textsf{Area}=\sf \dfrac{1631.76}{2}

\implies \textsf{Area}=\sf 815.88\:\:square \:units

<u>Area of the square</u>

\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0
2 years ago
Read 2 more answers
How many solutions does the equation have? a+5=1/5(5a+25)
Iteru [2.4K]
A + 5 = \frac{1}{5} (5a + 25)

First, simplify \frac{1}{5} (5a + 25) to \frac{5a+25}{5} / Your problem should look like: a + 5 =  \frac{5a+25}{5}
Second, multiply both sides by 5. / Your problem should look like: 5a + 25 = 5(a + 5)
Third, expand to get rid of parenthesis. / Your problem should look like: 5a + 25 = 5a + 25
Fourth, both sides are equal, resulting it having infinite solutions.

Answer: infinite solutions

6 0
3 years ago
What additional piece of information must be known in order to calculate the volume of the cylinder below?
djyliett [7]

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

r: It is the radius of the cylinder

h: It is the height of the cylinder

We have as data, observing the figure, that they give us the radio. Then, the height is missing.

Answer:

Option B

5 0
3 years ago
Read 2 more answers
Suppose m is directly proportional to the cube of x and that when x=2 m=4
AlladinOne [14]

Answer:

A.)x=3 m=6

Step-by-step explanation:

A.)3 multiplied by two is 6, (B.) m=120 120/2 x=60

7 0
2 years ago
Can someone help me
kramer

i think its 13.3 correct m if im wrong

8 0
3 years ago
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