9514 1404 393
Answer:
60 square units
Step-by-step explanation:
The area is given by the formula ...
A = bh
The base of this parallelogram is 15 units, and its height is 4 units. The area is ...
A = (15 u)(4 u) = 60 u²
The area is 60 square units.
Answer:
Part A: 100
Part B: 625
Step-by-step explanation:
Part A equation: 25 x 4 = 100
Part B equation: 25 x 25 = 625
The amplitude is midway between the maximum and minimum values. The maximum is 6 and ther minimum is -3 (these are the y-values). That makes the amplitude (6- - 3) / 2 = 9/2 = 4.5
The period is the length of time (measured along the x-axis) for one full cycle. Notice that the function is at just over 1 (on the y-axis) when x = 0. It then drops to the minumum value and goes up to 2 (this looks like a V). Then the function continues increasing a little less sharply then more sharply before hitting the maximum value and heading back dwn. When x=5 the function is again at just over 1 and it repeats what I just explained. Since it took from x=0 to x=5 to see a full cycle (for the curve to do whatever it is before it started repeating) the period is 5.
Amplitude: 4.5
Period: 5
If there are 4 marbles left over each time, then we can forget about them for now.
So the question is, what is the smallest number than can be divided into 6,7 and 8?
the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.
so for our purposes we can "delete" one 2 and ask:
what is the smallest number than can be divided into 3,7 and 8 ?
There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168
and the 4 marbles "extra"? We add them to this sum.
the the smallest possible number in the box is 168+4=172.