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Arlecino [84]
3 years ago
12

A wire 31ft long is stretched from the top of a flagpole to the ground at a point of a flagpole to the ground at a point 15ft fr

om the base of the pole how high is the flagpole
Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:the height of the flagpole is 27.12 ft

Step-by-step explanation:

The wire makes an angle with the ground and forms a right angle triangle with the flag pole. The length of the wire represents the hypotenuse of the right angle triangle. The height of the flag pole and the ground distance from the wire represents the adjacent and opposite sides respectively.

To determine the height of the flagpole, x we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

31² = x² + 15²

x² = 961 - 225 = 736

x = √736. = 27.12 ft

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Read image for instructions
Oliga [24]

The last part answers the first part for you, just look at the y-values.

In other words:

<em>A'</em><em> </em>(-8, 2)

<em>B'</em> (-4, 3)

<em>C'</em> (-2, 8)

<em>D'</em> (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

<em>A'</em><em>'</em> (8, 2)

<em>B'</em><em>'</em> (4, 3)

<em>C'</em><em>'</em> (2, 8)

<em>D'</em><em>'</em> (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

3 0
3 years ago
Name
Tpy6a [65]

Answer:

1. A container of milk 2L

2. An Eyedropper has 1 mL

3. A cup of punch 250 mL

4. A jar of pickles 500mL

Step-by-step explanation:

Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.

A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.

An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)

A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.

Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.

8 0
3 years ago
Find the perimeter of a rectangle with dimensions 12 feet and 15 feet
Ronch [10]

Answer:

The perimeter is 54 square units

Step-by-step explanation:

You find the sum of 12+12 and that's 24, and 15+15, and that is 30, and 30+24 is 54.

Hope this helped!

8 0
3 years ago
Read 2 more answers
Meike earned $1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe nex
juin [17]
Do 6.5*9=85.5*1565=91,552.5
5 0
3 years ago
What is the value of x
Gekata [30.6K]

Answer:

x=20

Step-by-step explanation:

Since angle RTS is a right angle, we have three similar triangles.

Thus, \frac{x}{25} = \frac{16}{x}

Cross Products, x^2=400

Take the square root: x=20

4 0
3 years ago
Read 2 more answers
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