Answer:
30.
Step-by-step explanation:
6 = 2 * 3
5 = 5
LCM = 2 * 3 * 5 = 30.
Hey there! :)
Answer:
r ≈ 4.38 cm.
Step-by-step explanation:
Find the radius by working backwards using the equation A = πr²:
Given:
A = 60.24 cm²
π = 3.14
Plug these into the equation:
60.24 = 3.14r²
Divide both sides by 3.14:
19.185 = r²
Take the square root of both sides:
r ≈ 4.38 cm.
Answer:120 DEEGREES
Step-by-step explanation:
Answer:
Oh...okay
Step-by-step explanation:
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
