Answer:
height = 20 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ← r is the radius and h the height
given r = 12 and V = 2880π, then
π × 12²h = 2880π
144πh = 2880π ( divide both sides by 144π )
h = 
= 20
Answer:
(3,-2)
Step-by-step explanation:
Given equations of line
3x-2y=13
2y+x+1=0
=> x = -1 -2y
Point of intersection will coordinates where both equation have same value of (x,y)
top get that we have to solve the both equations by using method of substitution of simultaneous equation.
using this value of x in 3x-2y=13, we have
3(-1-2y) -2y = 13
=> -3 -6y-2y = 13
=> -8y = 13+3 = 16
=> y = 16/-8 = -2
x = -1 - 2y = -1 -2(-2) = -1+4= 3
Thus, point of intersection of line is (3,-2)
The answer is -6/5
First convert the equation to y=mx+b form
you’ll get y=5/6x+27
then to find the line perpendicular to this equation, you have the flip the slope.
ending with -6/5
Answer:
$1.20
Step-by-step explanation:
Ratio:
Grams : Kilograms
1 : .001
Multiply both sides by 20 to convert grams to kilograms:
Grams : Kilograms
1 : .001
x20 x20
20 : .02
This means that 20 grams of lead = .02 kilograms of lead
Price:
Cost : Kilogram
$60 : 1
Multiply both sides by .02 to find the price of the lead:
Cost : Kilogram
$60 : 1
x.02 x.02
$1.20 : .02
Therefore, .02 kg of lead costs $1.20.
If C is between A and B, then, we can write the equation
Substitute the value of AB and the expressions for AC and CB in terms of x.
We can now solve for x.
Dividing by 5.
