Answer:
a) The can can hold 24.54 inches³ of pop
b) There will be 22.09 inches³ of pop in the can
c) The cone can hold 7.36 inches³ of pop
Step-by-step explanation:
a) We need to work out the volume of the can, using this equation: volume of a cylinder = πr²h
- The diameter is half the radius: r = 1.25 inches
- r² = 1.5625
- π × 1.5625 × 5 = 24.54369... ≈ 24.54 inches³
b) We will still work out the volume of the can, but the height is 4.5 inches instead of 5 inches:
- r² = 1.5625
- π × 1.5625 × 4.5 = 22.0893233... ≈ 22.09 inches³
c) The cone will have a height of 4.5 inches and a diameter of 5 inches; the volume of a cone = 1/3(πr²h)
- 1/3(π × 1.5625² × 4.5) = 7.3631077... ≈ 7.36 inches³
Hope this helps!
Answer:
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
The y intercept is the initial value, which is graphed on the y axis (or vertical line). In a word problem the y intercept is the original or starting value. In a graph you can find it where the data begins on the vertical axis.
Answer:
false
Step-by-step explanation:
<span>y=<span><span>x−5</span><span>−−−−</span>√3
</span></span>
<span><span>x=<span><span>y−5</span><span>−−−−</span>√3
</span></span></span>