Answer:
b) 1/32
Step-by-step explanation:
1/2 x 1/2 x 1/2 x 1/2 = 1/32
Answer:
x= -10 ; y= 3
Step-by-step explanation:
see the picture
Step-by-step explanation:
w = 2
x = 5
y = 8
z = 3
= x² + 2y ÷ w + 3z
= (5)² + 2(8) ÷ (2) + 3(3)
= 25 + 16 ÷ 2 + 9
= 25 + 8 + 9
= 42
1.
a.2,3,5 450/2=225 450/3=150 450/5=90
b.none
c.2 only 18,652/2=9,326
d.5 only 455/5=91
2.
a.3 and 5
b.3 and 7
c.19
d.7 and 21
3.
a.30
b.18
c.24
d.30
(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.
