Answer:
h = 36.9 cm
Step-by-step explanation:
The function given to us is:
h(t) = 51 + 20 sin(225t)
Where h(t) is the function of the height in centimeters while t represents the time in seconds.
We have to find the height h(t) when the time is equal to 19 seconds.
Substitute t=19 into the given function
h(19) = 51 + 20 sin(225(19))
h(19) = 51 + 20 sin(4275)
h(19) = 51 + 20 (-0.7071)
h(19) = 51 + (-14,1421)
h(19) = 36.8579 cm
Rounding off to nearest 10th
h = 36.9 cm
Step-by-step explanation:
1 * (-5) = -5 a = -5
6 + (-5) = 1 b = 1
1 * (-5 ) = -5 c = -5
-7 + -5 = -12 d = -12
6 hikers = 4.5 lbs of trail mix
4.5 divided by 6= .75 lbs each hiker.
Ok what else about ms. palmer?
Answer:
Perimeter = 72
Step-by-step explanation:
<u>Mathematics Puzzle</u>
The area of a rectangle is the product of the base and the height
A=b.h
We know the base and the height are two consecutive prime numbers, not much of useful information so far.
We also know the area is composed only of the two smallest prime digits. Those digits are 2 and 3. If the number is reversed and it's not changed, then we only have two possible values for the area: 232 and 323.
We only need to find two consecutive prime numbers which product is one of the above. The number 232 has no prime factors: 232 = 8*29.
The number 323 is the product of 17 and 19, two consecutive prime numbers, thus the dimensions of the rectangle are 17 and 19.
The perimeter of that rectangle is 2*17+2*19= 72
