Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
Quotient: The answer to a division problem
Answer:
1. 8.85 quarts
2. 44.25%
Step-by-step explanation:
In 15 quarts of a solution with percentage of antifreeze = 35%
Amount of antifreeze = 35% × 15
= 0.35 × 15
= 5.25 quarts
that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%
Amount of antifreeze = 72% × 5
= 0.72 × 5
= 3.6 quarts
Total amount of mixture = 15 quarts + 5 quarts = 20 quarts
1. Now we will calculate the total amount of antifreeze in the resulting mixture.
= 5.25 + 3.6 = 8.85 quarts
2. The percentage of the resulting mixture is antifreeze
= 
= 44.25%
1. total amount of antifreeze is 8.85 quarts
2. the percentage of antifreeze is 44.25%
It reveals the slope and a single point on the line