so we have 3 folks painting 4 walls, now each one of them works for 32 minutes
person 1............. 32 mins
person 2............. 32 mins
person 3............. 32 mins
for a total of 32+32+32 = <u>96 minutes worth of work</u>. That's for 4 walls, how many minutes worth is just 1 wall?
96 ÷ 4 = 24 mins.
so to paint a wall, it takes 24 mins of work worth.
so then, to paint 7 walls, that'd be 7 * 24 = 168 minutes worth of work.
what about for 4 folks doing it? How many times does 4 go into 168? 168 ÷ 4 = 42 mins.
76/9 = 8.444444444444 > 8.0 or 8.45
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
<h2>
Answer:</h2>
9 inches
<h2>
Step-by-step explanation:</h2>
Let x be the length of the side of the square.
If the base of the triangle is 3 times as long as the side of the square, it is 3 times x, or 3x.
The same can be said for the legs, which is 1 inch more than twice the side of the square, so 2x + 1.
The triangle can therefore be thought to look like the triangle below.
The perimeter is therefore (2x+1) + (2x+1) + 3x, which is 7x + 2.
The sum of perimeters of both the square and triangle is 46.
The perimeter of the square is 4x, so the sum of perimeters is 4x + (7x+2), or 11x + 2.
11x + 2 = 46, so 11x = 44.
x is therefore 4
The leg is 2x + 1, so the leg is 8 + 1, so the length of the leg is 9 inches.
The answer is Motivational