Answer:
the answer is 27
Step-by-step explanation:
Since both intergers are negative, two negative intergers multiplied equal a positive answer. after wards just multiply 9 and 7 together. I hope this helped.
Answer:
The per hour rate is 0.5 inches per hour
Step-by-step explanation:
Here, we want to calculate the rate at which the level of the water increased
Mathematically, we can get this by dividing the amount of increment by the time it took
That would be 3 inches divided by 6 hours
= 3/6 = 0.5 inches per hour
By induction:
It's true for
, since
clearly contains a factor of 3.
Suppose it's true for
, that
is divisible by 3. Then
where
is an integer. This reduces to
and both terms are clearly multiples of 3. We know that
is an integer since we had set
previously, which implies
is a multiple of
. So the statement is true.
The least possible height is the height of the cylinder when the volume is 324π cubic inches. To determine that height, we use the formula for the volume of a cylinder. We do as follows:
Volume = πr^2h
324π = π(6)^2(h)
h = 9 inches
Answer:
y = 120°
Step-by-step explanation:
angles in a triangle add up to 180 degrees
180 - (87 +33) = 60
x = 60 degrees
angles on a straight line add up to 180 degrees
180 - 60 = 120
y = 120
