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Ghella [55]
4 years ago
13

In <ABC angle A is 41°. Side b is 65cm, side c is 50cm and side a is unknown. Solve for side a.

Mathematics
1 answer:
lara31 [8.8K]4 years ago
8 0
Side a is 50cm long.
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△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB
mel-nik [20]

Answer:

  0

Step-by-step explanation:

Let's define 3 areas:

  • S = area of semicircle with radius 6 in (diameter AB)
  • T = area of quarter circle with radius 6√2 in (radius AC)
  • U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

  white = T - U

Then the area of the "moon" shape is ...

  moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

  moon - triangle = (S -T +U) -U = S -T

__

The formula for the area of a circle of radius r is ...

  A = πr²

So, ...

  S = (1/2)π(6 in)² = 18π in²

and

  T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

4 0
3 years ago
How many 0.5 liter glasses of water can be poured from a full 6 liter pitcher
adelina 88 [10]
12 0. Litler glasses
3 0
3 years ago
Which number line shows the correct placement of 25%,14 1 4 , and 12 1 2 ?
3241004551 [841]

Answer:

3.5

Step-by-step explanation:

25%=0.25

0.25*14=3.5

7 0
3 years ago
What is the missing number that makes the ratios equivalent? <br> 12:9<br> _:18​
S_A_V [24]

Answer:

24

Step-by-step explanation:

7 0
3 years ago
Eighth grade<br> &gt;<br> A.2 Divisibility rules<br> Is 932,920 divisible by 4?<br> Yes or no
LekaFEV [45]

Answer:

Yes.

<u><em>Brainliest, please!</em></u>

Step-by-step explanation:

If we try to divide 932,920 by 4, we get 233,230, which is a whole number.

7 0
3 years ago
Read 2 more answers
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