Inside of the triangle must = 180. Let angle '4' = x. x + 45 + 47 = 180. Combine like terms, x + 92 = 180. Subtract 92 on both sides, x = 88.
Now angle '4' and angle '3' must equal 180 because they are on the same plane. Let angle '3' = y. y + 88 = 180. Subtract 88 on both sides, y = 92.
So Angle 4 is 88 degrees and Angle 3 is 92 degrees.
<span> 1609.3472 meters in a mile
</span>9.97997 divided by 100=<span>0.0997997
</span>0.0997997 times 1609.3472=<span>160.612367756
</span>answer=<span>160.612367756
vote me brainliest!</span>
Answer:
perimeter = 107.4 m
area = 640.82 m²
Step-by-step explanation:
The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.
The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.
Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.
(a/2)² + (2a/2)² = 20²
(a/2)² + (a)² = 20²
a²/4 + a² = 400
(a² + 4a²)/4 = 400
5a²/4 = 400
cross multiply
5a² = 1600
a² = 1600/5
a² = 320
square root both sides
a = √320
a = 17.88854382
a ≈ 17.90
The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.
Area = length × breadth
area = 17.90 × 35.80 = 640.82 m²
perimeter = 2(l + b)
perimeter = 2(35.80 + 17.90)
perimeter = 2(53.7)
perimeter = 107.4 m
Remark
This is just a calculator problem. Look around on your calculator for the sin button
Above it you will find something like sin-1. that will give you the answer.
Here's how you do it with most calculators.
2nd F
Sin-1(
0.65
=
You should get 40.54 <<<<<<<< answer
