Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches
Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;
The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.
Therefore with the perimeter given as 27, we now have the expression;
s + s + 4 + s + 5 = 27
3s + 9 = 27
Subtract 9 from both sides of the equation
3s = 18
Divide both sides of the equation by 3
s = 6
Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,
6 inches, 10 inches and 11 inches.
Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
Answer:
A) P(WWC) = 0.128
B) P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) probability of getting 2 correct answers when 3 guesses are made is i.e P (1 wrong and 2 correct) = 0.064
Step-by-step explanation:
A) Using the multiplication rule, we have; P(A and B) = P(A) x P(B)
Probability of a wrong answer = 4/5 = 0.8
Probability of a correct answer = 1/5 =0.2
Thus; P(WWC) = 0.8 x 0.8 x 0.2 = 0.128
B) Beginning with one wrong and two correct answers, a complete list of all possibilities is;
P(WCC), P(CWC), P(CCW)
Hence the complete list is;
(0.8 x 0.2 x 0.2); (0.2 x 0.8 x 0.2); (0.2 x 0.2 x 0.8)
So we have;
P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) Based on the results above, the probability of getting 2 correct answers when 3 guesses are made is i.e P(1 wrong and 2 correct) = 2 x 0.032 = 0.064
72° since it’s 6 degrees per minute you can do 6x12 and that will get you 72°
