Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
Answer:
The tax was 5.13
Step-by-step explanation:
Take the amount and multiply by the tax rate
78.99 * 6.5 %
Change to a decimal
78.99 * .065
Round to the nearest cent
5.13
Answer:To figure out the value you have to look at all of the numbers from right to left. You start with the ones place and get prgressively bigger going up by a multiple of 10 each time. So you have the ones, tens, hundreds, thousands, ten thousands, etc. In the number in your example, you have 3 ones, 4 tens (or 40), 1 hundred or (100), 0 thousands, and 5 ten thousands (50, 000). You can write the number in expanded form to help you figure out the value. 50,000 + 100 + 40 +3.
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Step-by-step explanation:
Answer:
equals 56y+3x
Step-by-step explanation:
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
