3x+12+5x+5=25
8x+17=25
8x=8
x=1
Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
15.7 inches
Step-by-step explanation:
A clock is a circle . It tells us that the radius of the circle is 2.5 inches, and it is asking for the circumference. Therefore, we can use the equations for a circle to solve for the circumference.

Answer:
Step-by-step explanation:
because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A
so the first choice is out.
use the law of cosines to find b
= 
=1681+400-1326.787871
= 754.21219
b= 
b= 27.46292
so the last choice looks good
Answer:
The answer is
<h2>660.5 square feet</h2>
Step-by-step explanation:
Area of a circle = πr²
where r is the radius
From the question
diameter = 29 feet
To find the radius given the diameter we use the formula

So the area of the circle is

We have the final answer as
<h3>660.5 square feet</h3>
Hope this helps you