Use SOHCAHTOA. sin=opposite/hypotenuse, cosine=adjacent/hypotenuse, and tangent=opposite/adjacent
Answer:
x = 3/10
Step-by-step explanation:
−1/2 − (−4/5) = x
First, switch sides.
x = −1/2 − (−4/5)
You are subtracting a negative number. Subtracting a negative number means add a positive number.
x = -1/2 + 4/5
Now you are adding two fractions, so you need a common denominator. The LCD of 2 and 5 is 10.
x = -5/10 + 8/10
x = 3/10
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005
Answer:
(First step for obtaining a common denominator for the two fraction)

Step-by-step explanation:

where,
a is acceleration of an object.(Need to calculate)





Now we will simplify above expression for a
First we make common denominator.
Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get
(First step for obtaining a common denominator for the two fraction)
Now we combine the numerator


U . v = |u| . |v| cos 60 = 10 * 8 * 0.5 = 40 This is called the scalar (or dot) product.