<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
Ok so first, you put the sides into a ratio. The question says that triangle GKNM is congruent to triangle VRPT. From this, we know that side GK is congruent to VR. So, we write that as a ratio. Also, we know that KN is congruent to RP. We also write that as a ratio. Then, using equations, we solve for x. But, we aren't done yet; the expression for side KN is 3x-2 and, we already know that x is equal to 4.4
So, we do 3*4.4-2 which is 11.2. Therefore, side KN is equal to 11./2Then, the expression for side RP is x+4. We already know that x is equal to 4.4. So, we do 4.4+4 which is 8.4. Therefore, side RP is equal to 8.4.
Oh, and the scale factor is 4:3 or 1.33 because you do 8.4/6.3 ( you can also do 11.2/8.4)
hope this helps ;)
Answer:
PQ=6,69 units
Step-by-step explanation:
b/Sin32°=c/Sin72°
PQ/Sin32°=12/Sin72°
PQSin72°=12Sin32°
PQ=12Sin32°/Sin72°
PQ=6.69 units
Answer:
m = 145 °
Step-by-step explanation:
In the given figure XYZO
∠X + ∠Y + ∠Z + ∠XOZ = 360°
∠XOZ = 360 ° - 33 ° - 22 ° - 90 °
= 360 ° - 145 °
= 215 °
∠ m + ∠ XOZ = 360 °
∠m = 360 ° - 215 °
= 145 °