Answer: D. (-4, -2)
<u>Step-by-step explanation:</u>
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
Answer:
p<4
Step-by-step explanation:
4p+2< 2(p+5)
Distribute: 4p+2<2p+10
Subtract 2 from both sides: 4p<2p+8
Subtract 2p from both sides: 2p<8
Divide and we get: p<4
Answer:
<h2>12</h2>
Step-by-step explanation:
Hi!
Here is your answer,
I will explain in step by step,
Here we can simplify this further using this law,
So we will get,
Since the powers are same we can cancel it out and we will get,
(Hope this answer helped :))
