First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
4/5 / 2/5
= 4/5 * 5/2
= 4/2
= 2
Answer: 2 pages per hour
Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
9514 1404 393
Answer:
72
Step-by-step explanation:
Substitute 6 for x in the equation and do the arithmetic.
y = 12x
y = 12·6 = 72
John earns 72 money units in 6 hours.
The scientific notation of 3,200,000 is 3.2 * 10^6.
The number must be between 1 and 10, and we move the decimal 6 places to the left to get between 1 and 10.
