Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
riangle?
1 answer:
Answer:
Choice D - 8cm and 9cm.
Explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
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<h3>#7</h3>
(a)
<u>Sample space:</u>
- 1*1, 1*2, 1*3, 1*4,
- 2*1, 2*2, 2*3, 2*4,
- 3*1, 3*2, 3*3, 3*4,
- 4*1, 4*2, 4*3, 4*4
Total 16 outcomes
(b)
- (i) P(even) = 12/16 = 3/4
- (ii) P(3x) = 7/16
- (iii) P(perfect square) = 4/16 = 1/4
<h3>#8</h3>
(a) <u>Sample space:</u>
- 1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H
Total 8 outcomes
(b)
(i) 1T, 3T
(ii) 1H, 4H
- P(H and square) = 2/8 = 1/4
(iii) 1H, 2H, 3H, 4H
Y ^(-2/3)^-6 = y^12/3 = y^4
x^(1/2)^ -6 = x^-3 = 1 x^3
so the answer is y^4 * 1 /x^3 = y^4 / x^3
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