Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Every 1.71 seconds, the bacteria loses 
Step-by-step explanation:
Given

Required [Missing from the question]
Every __ seconds, the bacteria loses 
First, we model the function from t/3 to t.

Apply law of indices

Evaluate each exponent
--- This gives the number of bacteria at time t
At time 0, we have:



Let r be the time 1/2 disappears.
When 1/2 disappears, we have:



So, we have:

Substitute r for t

Substitute 

Divide both sides by 8500


Take log of both sides

Apply law of logarithm

Make r the subject



<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>
Answer:
The one about the beetles
Step-by-step explanation:
Angles on a straight line add up to 180° so you do 180 take away 115 which gives you Y angle and then angles in a triangle add up to 180 so you do 45 add 65 and you get 110 which then u take away from 180 to get 70 answer D