Answer:1 and 2
Step-by-step explanation:
Given
Volume needed 
For first cylinder
For second cylinder
For Third cylinder
For fourth cylinder
So, cylinder 
and 
are appropriate as it is under 
y = - 
x - 3
the equation of a line in ' slope intercept form ' is
y = mx + c
where m is the slope and c the y-intercept
here m = - and c = - 3
thus y = - x - 3 is the slope- intercept equation
Answer:
The exterior angle to the vertex P, measuring 90°
Step-by-step explanation:
The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:
mP = mQ + mR
mP + mQ + mR = 180°
Substituting (mQ + mR) by mP in the second equation, we have:
mP + mP = 180°
mP = 90°
this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.
Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.
So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.
Hello, here is the answer fellow student ..... 549÷9=61
ANSWER
1.2 hours
EXPLANATION
Let x represent the number of hours it takes to complete the paint job.
The fraction of a job done per hour with both of them working is 1/x.
Lyle does 1/3 of the painting in one hour
(For example, if it took 3 hours to paint the room, then in one hour, only 1/3 of the room will be painted. In two hours, 1/3 + 1/3 = 2/3 of the room will be painted. In three hours, 1/3+1/3+1/3=3/3=1 of the room will be painted---completed)
Selena does 1/2 of the painting in one hour.
Therefore, for one hour, the fraction of the Job that Lyle does added with the fraction of the Job that Selena does is equal to 1/x, which is the fraction of the job done with both of them working
1/3 + 1/2 = 1/x
Multiply both sides of the equation by x
x/3 + x/2 = 1
Factor out x from the left side
x(1/3 + 1/2) = 1
Combine fractions. Get a common denominator for 1/3 and 1/2.
LCD of 1/3 and 1/2 is 6. 1/3 is equivalent to 2/6 and 1/2 is equivalent to 3/6.
x(2/6 + 3/6) = 1
x (5/6) = 1
x = 1 * 6/5
x = 6/5
x = 1.2 hours
ALTERNATIVE EXPLANTION:
job = rate · time ⇔ rate = job/time ⇔ time = job/rate
Lyle can do 1 paintjob of the room in 3 hours. Therefore, Lyle's rate is 1/3 paintjob per hour.
Selena can do 1 paintjob of the room in 2 hours. Therefore, Selena's rate is 1/2 paintjob per hour.
Their rate when working together is combined:
rate = 1/3 + 1/2 = 2/6 + 3/6 = 5/6
Since time = job/rate and we are interested in 1 paintjob, then job = 1 and
time = 1 / (5/6) = 6/5 = 1.2 hours
