The correct answer is c :)
the point is described by two variables: x and y. it is written like that: (x, y). so the first variable in brackets is the x variable. the other is y. so pick every point a-d, put these values into the equation, solve it and check if the values before and after = are the same. if so - you are correct!
look:
c) (1, 5) so x=1, y=5
equation: y=5^x
putting values: 5=5^1 and this is true!
We know diameter 
and height 
.
First find the radius of the bottom of the cylinder,
.
Then find the area of the bottom of cylinder,
.
Then to find volume just multiply the height with the area of the bottom of the cylinder,
.
Hope this helps.
Let r = radius, h = height and l = slant height
Lateral area = rlpi
But l = sqrt(r^2 + h^2)
Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1)
Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2)
Subtract (1) from (2)
r^2 pi = 16 pi
r^2 = 16
r = 4 cm
Put this value in (1) to find h
4sqrt(4^2 + h^2) pi = 20 pi
sqrt(16 + h^2) = 5
Square both sides
16 + h^2 = 25
h^2 = 9
h = 3 cm
Now that we know h and r we can find the volume
V = 1/3 pi r^2 h
= 1/3 pi (4^2)(3)
<span>= 16 pi cm^3 .........( = 50.27 cm^3)
I hope my answer has come to your help. God bless and have a nice day ahead!
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Answer:
179/1.60934 miles then divide to get the whole number/ decimal.
Step-by-step explanation:
A quick search tells me there are 1.60934 km in 1 mile.
To convert from one unit to another there is a super simple method. Set up a fraction with the two values, so in this case 1/1.60934 or 1.60934/1. Which do you use? well it depends which you are tryng to convert.
1.60934/1 has the units km/miles so since miles is on the bottom we would use it to convert miles. That's hat you have to look at, what is in the denominator. Since we are converting 179 km we want km on the bottom.
So we use 1/1.60934 instead because the units are miles/km. now you just multiply the 179 by the fraction. so the answer is 179/1.60934 miles.
Now it says we need a whole number of decimal, can you handle the division?
Answer: -3
Step-by-step explanation:
y = mx + b (slope intercept formula)
9x - 3y = -54
-3y = 9x - 54
Divide all by -3
y = -3x + 18
Slope = -3
Hope this helps!
