Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
For the first one, you just need to divide the amount of feet by 3 to get the amount of yards (there are three feet in a yard).
1431 / 3 = 476 2/3
The 102nd floor of the Sears Tower is 476 2/3 yards from the ground.
Second, you just need to multiply the amount of centimeters by 10 (there are 10 millimeters in a centimeter).
16 * 10 = 160
The butterfly has a wingspan of 160mm.
Third, the measurements are indeed
7. =
8. =
9. <
10. >
11. >
12. =
Fourth, you just need to know your conversion factors.
1. There are 3 feet in a yard. 42 / 3 = 14 yards
2. There are 1000 meters in a kilometer. 2350 / 1000 = 2.35 km
3. 12 inches in a foot. 18 * 12 = 216 inches
4. 10 decimeters in a meter. 289 * 10 = 2890 dm
5. 1760 yards in a mile. 1760 * 5 = 8800 yds
6. 10 millimeters in a centimeter. 35 * 10 = 350 mm
Hope that was helpful =)
Answer: 27.42 cm squared
explanation: separate the figure into three simple shapes (2 triangles, 1 rectangle)(picture of the three shapes attached)
solve for area of each shape
trangles: 1/2 x b x h
1/2 x 1.1 x 4.8 = 2.64
1/2 x 1.2 x 5.9 = 3.54
rectangle: l x w
3.6 x 5.9 = 21.24
finally, add all parts and you have your answer.
2.64 + 3.54 + 21.24 = 27.42
