Answer:
15/100 x 700 = 105
Step-by-step explanation:
Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.
You need to FIRST find out what the percentage is OF whenever coming across these types of problems.
And the keyword 'of' means to multiply.
Answer:
195
Step-by-step explanation:
Because 36 x 6 = 192 + 3 = 195
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.
Given is the base area of a solid crate, B = 6 square meters.
Given is the height of the solid crate, H = 4 meters.
We know the formula for volume of any solid is given as follows :-
(Volume of the solid) = (Base area of the solid) x (Height of the solid).
Volume = B x H.
Volume = (6 square meters) x (4 meters).
Volume = 24 cubic meters.
Hence, the volume of the solid crate would be 24 cubic meters.
Answer: $5.64
<u>Step-by-step explanation:</u>
Let x represent 1 box of batteries
Let y represent 1 case of batteries
Given: 14x = 3y
Given: 158 = 14x + 3y
Use substitution: 158 = 14x + 14x
Simplify: 158 = 28x
Divide by 28: 5.64 = x
