Answer:
15
Step-by-step explanation:
Answer:
Kayla is right; the center constitutes a fixed point located at the sphere's core.
Step-by-step explanation:
Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.
The center is indeed the stable point positioned at the center of the sphere.
Since m∠abe = 2b, and angle abe consists of angles abf and ebf, we can write:
m∠abe = m∠abf + m∠ebf
To find m∠ebf, rearrange:
m∠ebf = m∠abe - m∠abf
Substitute the given expressions:
m∠ebf = 2b - (7b - 24)
Simplify:
m∠ebf = 2b - 7b + 24
m∠ebf = -5b + 24.
Answer:

Upon solving for y, we find:


By substitution, we have:

Thus, we arrive at:

And for x, we determine:

This gives us a length of 76 and a width of 12.5.
Step-by-step explanation:
We are dealing with a rectangle. The formula for the perimeter is:

Here, x denotes the length and y the width. The following conditions can be established:

Substituting these values yields:

When we solve for y, we find:


By substitution, we obtain:

Thus, we conclude:

The length is found to be 76, while the width measures 12.5.
Answer:
Step-by-step explanation:
The probability that a mosquito lands on your neck per second is 0.5
The chance of it biting once it lands is 0.2
The likelihood that it does not bite after landing is 0.8
Therefore, the probability of a bite in one second is 
This translates to a 1/100 likelihood of being bitten in just one second
Over the course of 100 seconds, the expected number of bites is 
The anticipated interval between bites is 100