5 and 7 add to make 12 and multiply to make 35 so those are the numbers that will be used:
(x+5)(x+7)
Hope this helps :)
Answer:

Step-by-step explanation:
Because sine = opposite over hypotenuse, simply multiply both sides by the hypotenuse to get:
hypotenuse * sinθ = opposite
Do the same thing with cos to get:
hypotenuse * cosθ = adjacent
Hope it helps :) and let me know if you want me to elaborate.
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Answer:
- sin(Z) = 9/15 = 3/5
- cos(Z) = 12/15 = 4/5
Step-by-step explanation:
The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).
The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.
The segment opposite to Z is the one that does not have Z in its name: XY.
sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5
cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5
Answer:
The football is going to go over the goal post. It will clear the goal post by (16-10) 6 ft
Step-by-step explanation:
y = -0.03x^2 + 1.6x
Let x = 40
We need to determine if y> 10
y = -0.03(40)^2 + 1.6(40)
y = -48+64
y =16
Since 16>10
The football is going to go over the goal post. It will clear the goal post by (16-10) 6 ft