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Sergeu [11.5K]
4 years ago
11

How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat

e the area covered by the beam from the lighthouse."
Mathematics
1 answer:
kifflom [539]4 years ago
3 0
The whole circle has 360 degrees

You just need to count the area of circle with radius of 8 km and then multiple it by the fraction 35 over 360.
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5 0
4 years ago
Derive a formula to find the perimeter of an isosceles triangle in which one of the equal
Scorpion4ik [409]

Given :

Length of one of the equal sides of an isosceles triangle = 3x+2

Then, length of the other equal side will also be = 3x+2

Length of the unequal side of this isosceles triangle = 14

Formula for finding the perimeter of an isosceles triangle :

= \tt  side + side + side

A formula for finding the perimeter of this isosceles triangle :

= \tt3x + 2 + 3x + 2 + 14

Bringing all like terms together we get :

=\tt 3x + 3x + 2 + 2 + 14

= \tt6x + 4 + 14

\color{plum}\tt  = 6x + 18

Thus, the formula = 6x+18

Therefore, a formula to find the perimeter of this isosceles triangle = <u>6x+18</u>

7 0
3 years ago
Write in surd form<br><img src="https://tex.z-dn.net/?f=%20%7B13%7D%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%20" id="TexFormula1" title=
Airida [17]

Answer:

sqrt(13^2)

Step-by-step explanation:

this is the radical form of 13^(5/2)

6 0
3 years ago
Read 2 more answers
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QveST [7]
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6 0
3 years ago
∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?
kow [346]

Answer:

m∠A=30°

Step-by-step explanation:

we know that

<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross.

Vertical angles always are congruent

In this problem

m∠A=m∠B ----> by vertical angles

we have

m∠A=x

m∠B=3x-60

substitute

3x-60=x

Solve for x

3x-x=60

2x=60

x=30

therefore

m∠A=30°

7 0
4 years ago
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