Answer:
3.7142
Step-by-step explanation:
Answer:
A= 0.5 and B= 4040
Step-by-step explanation:
If you write out the equation and rearrange a little it gets easier to understand.
( a + b) + (a*b) + (a - b) you can rewrite this as
a + b + a - b + (a*b) this is the same as 2a + ab = 2021
The way I looked at it is to figure out how to get that number 1 at the end.
The number 2020 is easy to get to. How can you get the number 1 using either 2a or ab.
I looked at a = 0.5. 2 times 0.5 would be 1.
So now what would b have to be? We can get the 1 at the end with the 2a part of the equation so now we have to get ab = 2020.
b = 2020/a which using our a = 0.5, you can see that b would have to equal 4040. Test it all out in your equation.
0.5 + 4040 + (0.5 * 4040) + 0.5 - 4040
4040.5 + (2020) - 4039.5 = 2021
So A = 0.5 and B = 4040
Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:


Area of a circle is:

Putting
and
in the above formula, we get



Therefore, the area of the hold is 706.5 square cm.
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.