The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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Answer with Step-by-step explanation:
We are given that six integers 1,2,3,4,5 and 6.
We are given that sample space
C={1,2,3,4,5,6}
Probability of each element=
We have to find that
Total number of elements=6
={1,2,3,4}
Number of elements in =4
Using the formula
={3,4,5,6}
Number of elements in =4
={3,4}
Number of elements in
{1,2,3,4,5,6}
Answer:
a=9
divide 81 by 9 on both sides and you get 9.
Step-by-step explanation:
Answer:
3,131,313
Step-by-step explanation:
Let X represent the number of cases with diabetes in 1973.
An increase of 396% in diabetes cases in 1973 would be;
12.4 million = 396/100 × X
12.4 million = 396X/100
Cross multiply
12.4 million × 100 = 396X
X = [(12.4 million × 100) / 396]
X = 3,131,313
Therefore, the number of diabetes cases in 1973 is 3,131,313 cases
Answer: 5/4
Step-by-step explanation: