Answer:
A
Step-by-step explanation:
Find AB using the Law of Sine:

Thus:

Multiply both sides by sin(40)


AB = 31.0056916 ≈ 31.0 cm (nearest tenth)
A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers
Answer:
D
Step-by-step explanation:
The basic equation to solve this would be D = RT, which is
D is Distance
R is Rate (speed)
T is time
To find total distance D, we can find individual distances for two legs of the whole.
First Leg:
R = 8
T = a
D = 8a
Second Leg:
R = 7.5
T = b
D = 7.5b
Total distance D is:
D = 8a + 7.5b
Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:
D = 8a + 7.5b
D = 8(45 - b) + 7.5b
Answer choice D is right.
Answer:
z = 
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
=
( cross- multiply )
12z = 200 ( divide both sides by 12 )
z =
= 
Eight and fifty four hundredths
8 . 5 4
Ones Tenths Hundredths