Step-by-step explanation:
Volume of cylinder
= πr²h
= π×3²×6
= 54π
= 169.56units³
Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)
y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b
so ur perpendicular equation is : y = 3/2x - 11 <==
404 error: graph not found
anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours
all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity
percent means parts out of 100 so x%=x/100
so we have
School
Eating
Sleep
Homework
Free Time
School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours
Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours
Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours
Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours
Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours
Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours