Answer:
15/8
Step-by-step explanation:
tan 2θ = 2 tan θ / (1 − tan² θ)
tan 2θ = 2 (3/5) / (1 − (3/5)²)
tan 2θ = (6/5) / (1 − 9/25)
tan 2θ = (6/5) / (16/25)
tan 2θ = (6/5) × (25/16)
tan 2θ = 15/8
Answer: 3/10
Step-by-step explanation:
Given a decimal number 0.3
To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :
0.3 /1
Multiply the numerator and the denominator by 10
0.3/1 × 10/10 = 3/10
Therefore, a = 3 and b = 10
the rational number 0.3 in the form ab , where a and b are integers is
3/10
Answer:
B. What was the highest temperature this month?
Step-by-step explanation:
Rory is recording the <em>high</em><em>est</em><em> temperature</em> for the duration of the day for month's worth of data.
B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.
A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.
C. is the opposite of what Rory had recorded, and without data, he cannot answer it.
D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.
~
(a) Truck carries 90 gallons of diesel fuel to 660 miles.
So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.
30 gallons of diesel fuel to = 220 miles.
Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.
Join (660, 90) and (220, 30), we get the graph of a line.
Note that (0, 0) is also a point on the line.
Equation of the line is .
(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].
Hence, the domain of the function is [0, 660].
(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.
