(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.
We know that
<span>Total soil--------> 3/4 ton
</span><span>divide it by 8
(3/4)/8----> 3/(4*8)----> 3/32 ton----> 0.09375 ton----> multiply by 1000---> 93.75 kg
the answer is
</span>93.75 kg f<span>or each bed</span>
Answer:
158 in²
Step-by-step explanation:
<u>Surface area</u>
A = 2·(l·w + l·h + w·h)
= 2·(3in·8in + 8in·5in + 3in·5in)
= 2·(24in² + 40in² + 15in²)
= 2·(79in²)
= 158 in²
al3xis
Step-by-step explanation:
I'll help if you'd like
The answer to your question is w =40(2)n [n is in exponent form I just couldn’t type it that way ]
