A.
Note that 1 mile = 1.609 km.
Therefore
0.6 miles = 0.6*1.609 km = 1 km (approximately).
b.
Note that 1 US quart = 0.9463 liters.
Therefore
1 quart = 1 liter (approximately).
c.
Note that 1 pound = 0.4536 kg
Therefore 1 pound is not even approximately equal to one kilogram.
d.
Note that 1 yard = 0.9144 m.
Therefore
1 yard = 1 m (approximately).
Answer:
1 pound is not approximately equivalent to one of the metric units.
Yes, it is random because it isn't convenient for him.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
It's along the number line
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
