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il63 [147K]
3 years ago
5

a vertical pole 5 feet long cast a shadow of 2 feet. if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree?
Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
The tree is 25 feet log becuase the shadow of the tree is 5 times bigger than the shadow of the pole so the tree should be 5 times bigger than the vertical pole which is 5 feet long.
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Please give me the answers to all three I will mark u brilliant
elixir [45]

Answer:

First know the formula for the area of a circle;

<h2>A = πr^{2}</h2>

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our <u>diameter</u>.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, <u>6</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(6^2)

A = 3.14(36)

A = <u>113.04 centimetres</u> is the area of the circle.

For the second problem, we can see that 18 is our <u>diameter</u>.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, <u>9</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(9^2)

A = 3.14(81)

A = <u>254.34 inches</u> is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = πr^{2}

A = 3.14(5^2)

A = 3.14(25)

A = <u>78.5 meters</u> is the area for this circle.

4 0
2 years ago
Which of the following is NOT a way to prove triangles similar?
IRINA_888 [86]
I think a because b and c and trying to explain the triangles
3 0
3 years ago
Please solve the problem below
mr Goodwill [35]
You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf
5 0
3 years ago
A 30 foot tree broke from its base and fell against a house. If the tree touches at 21 feet what angle is the tree forming with
Ray Of Light [21]
The angle will be acute since 21 is less than 90 degrees 
3 0
4 years ago
What number can you multiply by −√2 to get a rational number?
qaws [65]
C and D  tell me if those are wrong because i'm only a beginner and i would like to learn from my mistakes
8 0
4 years ago
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