Answer:
D. 2
Step-by-step explanation:
M(0,2b)
N(2a,0)
Then the midpoint P coordinates are
P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)
Use distance formula to find OP and MN:
OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}
So,
MN=2OP
or
OP=1/2 MN
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Because the design is scaled by 3, the new dimensions are 9*3 X 12*3 = 27 X 36
Since the dimensions are 27 X 36, the area is equal to 27*36 = 972 square inches.
Answer:
Option C is correct
Volume of coffee in the thermos is, 150.8 cubic inches
Step-by-step explanation:
Volume of the cylinder is given by:

Where
V is the volume of the cylinder
r is the radius
h is the height of the cylinder respectively
As per the statement:
A thermos in the shape of a cylinder is filled with coffee.
the height of the cylinder is 12 inches and its radius is 2 inches
⇒ h = 12 inches and r = 2 inches.
Substitute the given values and use
in [1]
then;


Simplify:
V ≈150.8 inches.
Therefore, the volume of coffee in the thermos is, 150.8 cubic inches
Step-by-step explanation:
What's the expression?