Answer:
<h2>
CYLINDER</h2>
Surface Area = 471.2 cm^2
<h2>
TRIANGULAR PRISM</h2>
Surface Area = 60.75 m^2
Step-by-step explanation:
<h2>
CYLINDER</h2>
The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )
FORMULA:
π x 5 x 2 x 15
WORK:
π x 5 = 15.7
15.7 x 2 = 31.4
31.4 x 15 = 471
<h2>
TRIANGULAR PRISM</h2>
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.
FORMULA:
2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)
WORK:
(2.5 x 1.5) = 3.75/2 = 1.875
1.875 x 2 = 3.75
(6 x 4) = 24
(6 x 4) = 24
(6 x 1.5) = 9
3.75 + 24 + 24 + 9 = 60.75
D=2n
.05n+.1d=3.5
I multiplied the nickels and dimes by these values because that is their actual monetary value
.05n=3.5-.1d
multiply everything by 20
n=70-2d
d/2=70-2d
.5d+2d=70
2.5d=70
d=28
n=14
so there are <u>28 dimes and 14 nickels
</u>checking this answer
28 dimes = $2.8
14 nickels = .70
2.8+.7=3.5
Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.
Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s
Mark:
t = 5 s
Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s
Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s
Answer:
The winner is Mark
She needs to earn at least 84 to buy the mp3 player
earnings=earningsperhour times numberofhoursworked
earnings per hour=12 dollars
number of hoursworked=h
therefor
earnings=12 ties h or12h
earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84
solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours
to graph, draw a line at x=0 and shade to the right, make the line solid
This is an equation, you can't write equations as decimals. I think you're asking for x (as a decimal)?
Add 8 to each side: 4+8= 8+(-8)+3x
12=3x
x=4
This is a whole number so it's already in decimal form
