Answer: 57.1 (rounded)
Step-by-step explanation:
Area of triangle formula: 1/2 x base x height
Area of a semicircle: 1/2 x pi x r^2
(1/2 x 8 x 8) + (1/2 x pi x 4^2)
= 57.1 (rounded)
Answer:
x=6
Step-by-step explanation:
Group Like Terms:
3x+x+30=10+2x+5x+2
Add similar elements 3x+x=4x:
4x+30=10+2x+5x+2
Add similar elements 2x+5x=7x:
4x+30=10+7x+2
Group like terms:
4x+30=7x+10+2
Add the numbers 10+2=12:
4x+30=7x+12
Subtract 30 from both sides:
4x+30-30=7x+12-30
Simplify:
4x=7x-18
Subtract 7x from both sides:
4x-7x=7x-18-7x
Simplify:
-3x=-18
Divide both sides by -3:

Simplify:
x=6
Hence, the correct answer is 6
Answer:
#1
Step-by-step explanation:
Hope this helps! <3
Answer:
Θ = 157.7°
Step-by-step explanation:
Given
cosΘ = - 0.925
Since cosΘ < 0 then Θ is in the second or third quadrant.
Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus
Θ =
(- 0.925) = 157.7° ← angle in second quadrant
Answer:
The answer is
<h2>20 + 56i</h2>
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
<u>Multiply the numbers and simplify</u>
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
<h3>i² = - 1</h3>
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
<h3>20 + 56i</h3>
Hope this helps you