Answer:
42
Step-by-step explanation:
_ is 60% of 70.
.6 times 70 = 42
Step-by-step explanation:
2a. The block of wood has the shape of a rectangular prism. The log has the shape of a cylinder.
2b. Density is mass divided by volume. We know the mass, but we need to find the volume.
Volume of a rectangular prism is:
V = whl
where w is the width, h is the height, and l is the length
V = (18)(10)(8)
V = 1440 in³
So the density is:
d = 46.65 lbs / 1440 in³
d = 0.0324 lb/in³
2c. Volume of a cylinder is:
V = πr²h
where r is radius and h is height.
The circumference is C = 2πr, so r = C / (2π).
r = 25.12 / (2*3.14)
r = 4.00
V = 3.14 (4.00)² (21)
V = 1055.04 in³
So the density is:
d = 39.25 lb / 1055.04 in³
d = 0.0372 lb/in³
2d. The block is less dense than water; the log is more dense than water. So he should make the boat out of the block.
C. 42
Just find the angle of PQN because it’s the same angle as KQL. You can find the and by subtracting 85 and 53 from 180.
Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
Total Number of socks = 4 pairs= 8 socks
Number of red socks = 4
Number of black socks = 4
Probability of pulling a red sock from the bag the first time =

Since the sock is placed back in the bag before pulling a sock again, the number of socks remains the same.
So,
Probability of pulling a red sock from the bag the second time =

And
Probability of pulling a red sock from the bag the third time =
Therefore, the probability of pulling a red sock 3 times from the bag =