Answer: Length of side QR is 16 units.
Step-by-step explanation: Given that dimensions of PQR
QPR= 90degrees
3x-4=13
First you want all your x's on one side, and all your ordinary numbers on the other.
Add four to both sides to get rid of the "-4" part on the left.
Your new equation is 3x = 17
Divide each side by 3 to find X.
x= 17/3 or 5 2/3
B is the answer because if u subtact both x and y
<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>
Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
<h3>
Answer: 30</h3>
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Explanation:
"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".
Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.
The height is 10 inches.
So we have r = 1 and h = 10
V = pi*r^2*h
V = 3*1^2*10
V = 30 cubic inches approximately