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Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):
Let,
9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:
Let
Thus:
10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10
Answer:
Volume: 864
Surface Area: 684
Step-by-step explanation:
Volume:
Surface-Area: (Pretty Self-explanatory)
1. Triangles - 12 * 9 = 108 (You don't need to divide it by two, just leave it as is because there are two of these triangles.)
2. Base - 16 * 9 = 144
3. Height/Base - 12 * 16 = 192
4. 15 * 16 = 240
192 + 144 + 108 + 240 = 444
The Surface Area is 684.