We are given two sides of a triangle that are 2 and 5 and the angle between them is pi/3 or 60 degrees. In this case, we can use the cosine law to relate the given dimensions and angle. The cosine rule goes c2 = a2 + b2 - 2abcos C; Substituting, c2 = 4 + 25 - 2*2*5*cos pi/3 ; c2 = 19; c = sqrt 19 = 4.36 units.
Answer:
Obtuse angle
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.
Sample taken showed the following results

Since population std deviation is known and sample size is large, z test can be used.

(Left tailed test)
Mean difference = 
Std error = 
Z = test statistic = mean diff/std error
= 
p value = 0.00017
Since p < alpha our 0.05 we reject null hypothesis
There is evidence to show that mean is less than 264 feet
(Assumptions:
Sample are randomly drawn
Sample represents the population
Answer:
W = 20 (woman's age)
M = 60 (man's age)
Step-by-step explanation:
M = Man's age
W = Woman's age
M + 20 = 2(W + 20)
Sub for M
3W + 20 = 2W + 40
W = 20 (woman's age now)
M = 60 (man's age now)
Answer:
x= -3
Step-by-step explanation:
simplify.
1+4=x-8
Move all terms containing x to the left
1+3x=-8
Move all terms NOT containing to the right
3x=-9
Divide each term by 3
x= -3