Answer:
Step-by-step explanation:
Circumference is the perimeter of a circle. It can be found using the formula:
However, we are given the radius.
- The radius measures from the center to the edge of the circle.
- The diameter measures from edge to edge through the center.
- So, the diameter is twice the radius, or d=2r
The formula can be rewritten as:
We know the circumference is 25.12 inches.
Let's round pi to 3.14
We want to solve for the radius, so we must isolate it.
Divide both sides by 3.14 because the inverse of multiplication is division.
Divide both sides by 2.
The radius of the disc is <u>4 inches.</u>
Answer:
250
Step-by-step explanation:
Answer:
Step-by-step explanation:
In this exercise, we have two equations, namely:
And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:
Then:
So here we have two lines.
The first one is:
This line passes through the origin and has a slope 
The second one is:
This line has a slope 
and cuts the y-axis at 
By using graph tools, we get the graph shown below, then:
Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4
I think the boxes must be filled with
1/3 and -1/5.
