In this question, it is given that
A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria.
And we have to find number of bacterias on day *.
For that we use the following formula
Substituting these values in the formula, we will get
THerefore on day 8, number of bacterias are 1579.
Answer:
A. 4".
B. Approximately 9.54".
C. Approximately 13.54".
Step-by-step explanation:
Please find the attachment.
Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.
We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.
A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.
We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.
We can find the value of x using Pythagorean theorem as:
Upon taking square root of both sides of our equation we will get,
Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.
B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.
We can find the value of y using Pythagorean theorem as:
Upon substituting our given values we will get,
Upon taking square root of both sides of our equation we will get,
Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.
C. We can see from our diagram that the length of longer diagram will be the sum of x and y.
Therefore, the length of longer diagonal is approximately 13.54 inches.
