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loris [4]
3 years ago
13

A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall

is the flagpole?

Mathematics
1 answer:
timurjin [86]3 years ago
3 0
Think of it like a triangle.

The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.

Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')

Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio! 3 × 4 = 12 ft tall flagpole.

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Answer:

Exact Form:

1 + √5

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8 0
2 years ago
Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por
Irina18 [472]

Answer:

Sarah have \frac{5}{4} bottle of water.

Step-by-step explanation:

We are given that,

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As, each bottle is divided into 4 portions.

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Further, Sarah took 1 portion from each bottle and there are 5 bottles.

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5 0
2 years ago
determine the value of x for which r parallels s. then find the measure of angle 1 and the measure of angle 2measure angle 1= 50
Maslowich

According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}

x is 3/2. Replace this value in both expression to find the measure of each angle.

\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}

The measure of these angles is 47°

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1 year ago
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Answer:

1 question : 0.89 I think.

7 0
3 years ago
Read 2 more answers
110 is 45% of what number
aev [14]

Answer:49.5

Step-by-step explanation:

To find the 45% of 110

45/100×110

=49.5

5 0
3 years ago
Read 2 more answers
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