Time taken for the boats to meet will be given by:
time=(distance)/(speed)
relative speed=(speed of boat A+speed of boat B)
speed of boat A=2.5 mph
speed of boat B=2(2.5)=5 mph
thus
relative speed=(5+2.5)=7.5 mph
distance=30 miles
thus
time=30/7.5=4 hours
thus the earliest they can meet is 4 hours
Mean=16+99+15+86+41+37+16+26 = 42
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8
the answer is 42
Answer:
The expression (11.9f + 6.7g + 8.2h) cm represent the perimeter of the triangle
Step-by-step explanation:
Perimeter of a triangle = side a + side b + side c
Side a = (8.3f + 9.6g)
Side b = (3.6f + 1.5h)
Side c = (6.7h - 2.9g)
Perimeter of a triangle = side a + side b + side c
= (8.3f + 9.6g) + (3.6f + 1.5h) + (6.7h - 2.9g)
= 8.3f + 9.6g + 3.6f + 1.5h + 6.7h - 2.9g
Collect like terms
= 8.3f + 3.6f + 9.6g - 2.9g + 1.5h + 6.7h
= 11.9f + 6.7g + 8.2h
Perimeter of a triangle = (11.9f + 6.7g + 8.2h) cm
The expression (11.9f + 6.7g + 8.2h) cm represent the perimeter of the triangle
Answer:
¼
Step-by-step explanation:
The probability of having a boy is ½ and that of a girl is ½.
Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows
For these two children
The options are as follows
1 boy(first) and 1 girl
2 boys
2 girls
1 girl( first) and 1 boy
These are four possible options and the option for two boys is 1 out of the four.
The probability of 2 boys is ½*½=¼
9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
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<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.