Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
= 
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a = 
≈ 21.8 ( to the nearest tenth )
Answer:
x = 65
Step-by-step explanation:
Triangle interior angle sum is 180 degrees.
2x + 25 + 25 = 180
2x = 130
x = 65
To solve for the other leg, you need to use Pythagorean theory.
The theory states that C^2 = A^2 + B^2
In your case, you have to solve for B.
C = 40 (hypotenuse) A = 24 (leg 1)
The formula rewritten for B is
Now, you can solve.
Therefore, B = 32.
So the second leg is 32 feet.
Answer:
0 - 10x + 1.5
Step-by-step explanation:
-2(5x - 0.75)
Expand the bracket
-10x + 1.5
0 - 10x + 1.5 is the equivalent expression
Answer:
r = 2.5
Step-by-step explanation:
the area of the whole circle = 
*π * 24
A = πr² = (13π*24)/50
r = √((13*24)/50) = 2.5 inches
