your distance from a lighting strike varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds
1 answer:
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Answer:
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Step-by-step explanation:
Let us consider the image attached.
Center of circle be O.
Arc AB subtends the angle on the circle and
on the center of the circle.
To prove:
Proof:
In : AO and PO are radius of the circles so AO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So,
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.
Similarly,
In : BO and PO are radius of the circles so BO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So,
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.
Now, we can see that:
Using equations (1) and (2):
Hence, proved.
Answer:
it takes 24 hours for the bacteria cells to increase to 300
Step-by-step explanation:
WE use the formula
Where A is the initial amount of bacteria= 100
bacteria doubles every 15 hours so b=2
d= 15 because d is the time taken to double the number
t is the number of hours
c is the number of bacteria after t hours = 300
Plug in all the values and solve for 't'
Divide both sides by 100
Now we take log on both sides
As per log property we can move the exponent before log
log a^m = m log(a)
Divide both sides by log(2)
Multiply both sides by 15
t = 23.77
So its approximately 24 hours