Answer:
1.75
Step-by-step explanation:
0.009÷0.004-=
2.25-0.5=
1.75
Answer:
- 0.100
Step-by-step explanation:
Length of the ladder, H = 6 m
Distance at the bottom from the wall, B = 1.3 m
Let the distance of top of the ladder from the bottom at the wall is P
Thus,
from Pythagoras theorem,
B² + P² = H² .
or
B² + P² = 6² ..............(1) [Since length of the ladder remains constant]
at B = 1.3 m
1.3² + P² = 6²
or
P² = 36 - 1.69
or
P² = 34.31
or
P = 5.857
Now,
differentiating (1)
at t = 2 seconds
change in B = 0.3 × 2= 0.6 ft
Thus,
at 2 seconds
B = 1.3 + 0.6 = 1.9 m
therefore,
1.9² + P² = 6²
or
P = 5.69 m
on substituting the given values,
2(1.9)(0.3) + 2(5.69) × = 0
or
1.14 + 11.38 × = 0
or
11.38 × = - 1.14
or
= - 0.100
here, negative sign means that the velocity is in downward direction as upward is positive
Answer:
75 ft
Step-by-step explanation:
Let 20/50 = 30/x
So,
20X = 30x50
20x = 1500
X = 1500/20
X = 75
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Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
The value of h is then:
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
Answer:
2,600,000
Step-by-step explanation:
To determine the number of license plate that can be made with one letter and 5 digits;
Number of English alphabet = 26
Number of digits from 0 to 9 = 10
Each letter have 26 possible options and each digit have 10 possible options.
Number of license plate that can be made is;
N = 26 × 10^5
N = 2600000