Answer:
XZ=12 in
Step-by-step explanation:
area of a rhombus is A=pq/2
where p=WY=15.5 and A=93 and q=XZ
93=15.5(XZ)/2
93(2)=15.5(XZ)
186/15.5=XZ
XZ=12 in
Area = pi radius squared. (a=pi r squared).
the radius of this circul is 1.6 units so plunging that in you get 1.6 • pie = 5.02654824574. now square that. The answer is 15.7913670417.
(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.
Answer:
x = 25
Step-by-step explanation:
Given:
- ∠A = ∠B (Vertically opposite angles)
- ∠A = (7x - 8)°
- ∠B = (6x + 17)°
Since ∠A is equivalent to ∠B...
Open the parenthesis:
Add 8 both sides:
Simplify both sides:
Subtract 6x both sides:
Simplify both sides:
Answer:
i think it's B, no solutions
Step-by-step explanation:
because they are parallel to each other
