For this case we have to take into account the following conversions:
Let's first transform the expression to miles per seconds squared:
Then, we transform the result to miles per minute squared.
We have then:
Answer:
the rate in miles/min^2 is:
(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.
A=3,500×(1+0.03÷2)^(2×20)
A=6,349.06
Answer:
D
Step-by-step explanation:
The answer is 6
Answer:
u(12-v)
Step-by-step explanation:
12u and -uv both have a factor of <em>u </em>in common, so we can pull it out to give us the factored expression u(12-v).
<em>Note on factoring:</em>
<em>Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.</em>
