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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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svlad2 [7]
You formed a right-angled triangle. I drew this out at first, but you can double check it as 579² + 772² = 965², which is the rule for a right-angled triangle. I hope this helps!
3 0
3 years ago
Which statements represent the relationship between y=2^x and y=log2 x?
laila [671]
Y = 2^x and y = log₂x

Exponents and logs (to the same base = 2) are inverses of each other.
All inverse functions are symmetric about line y = x

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3 0
3 years ago
HELP DUE TODAY!!!!!!
larisa [96]

Answer:

x° is 66°  

Step-by-step explanation:

From the given diagram, we have;

∠JIH = 105° Given

∠IDJ = 39° Given

Therefore, we have;

∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line

∴ ∠JID + ∠JIH = 180° by definition of supplementary angles

∠JID + 105° = 180° by substitution property

∠JID = 180° - 105° = 75° by angle subtraction postulate

∠JID = 75°

∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle

∠IJD = 180° - (∠IDJ + ∠JID)  = 180° - (39° + 75°) = 66° angle subtraction postulate

∠IJD = 66°

∠x° ≅ ∠IJD, by vertically opposite angles

∴ ∠x° = ∠IJD = 66° by the definition of congruency

∠x° = 66°  

7 0
2 years ago
Read 2 more answers
If you have 24 dozen Shamrock cookies horseshoe cookies mint cupcakes and you sold four times as many cupcakes as cookies and th
Elden [556K]

Answer:

144

Step-by-step explanation:

108 plus 36 then you will get 144

3 0
3 years ago
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denis23 [38]

Answer:

sdf

Step-by-step explanation:

sdfgh

5 0
2 years ago
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