5sin(x)=-3cos(x)
sin(x)=-3/5 cos(x)
tan(x)=-3/5
x = arctan(-3/5)
The answer is
x^5
is correct......
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
To solve a proportion, you can either use cross products or basic multiplication.
To do cross products, you would multiply 17 (1st numerator) by 6 (2nd denominator).
Do the same with the other diagonal angle, 3 times y.
You'll end up with 3y = 102.
To solve for y, you divide both sides by 3.
102 ÷ 3 = 34
y = 34
The other way you could solve this is to see that 6 is 2 times as large as 3, so you would multiply 17 by 2 to get an equal proportion.
3 × 2 = 6
17 × 2 = 34
Your final answer is y = 34. Hope this helps! :)
Multiplying 20 by 320% is the same thing as multiplying 20 by 3.2, or 20(3.2)=64. Hope this helped!
