You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
Answer:
Step-by-step explanation:
Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.
-We calculate the probability of a mean of 3.4 as follows:
#First determine the z-value:
#We then determine the corresponding probability on the z tables:
Hence, the probability of obtaining a sample mean this large or larger is 0.0228
Answer:
Since every 30 days he wil have both lessons on the same day , and he already had both lessons on the last day of the previous month, that means that the day 30 the current month he wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)
Step-by-step explanation:
Lets find the least common factor of 5 and 6
Multiples of 5
5 10 15 20 35 30 35 40......
Multiples of 6
6 12 18 24 30 36
LCF of 5 and 6 = 30
Every 30 days he wil have both lessons on the same day
Answer:
Step-by-step explanation:
Yes as the x term is to the first power and is not raised to a larger exponent.
Answer:
Step-by-step explanation:
-3*j = -3j
(-3)(-1) = 3
Answer
-3j + 3 Notice the sign change. Be careful about that when signs are used with the distributive property.
