This is the concept of perimeter of circles, the arc length of the circle will be given by:
(theta)/360*pi*diameter
diameter=2*radius
but;
radius=6 in
diameter=2*6=12 inches
theta=45°
Hence, the arc length will be:
45/360*π*12
=(3π)/2
Answer:
Step-by-step explanation: Plug -4 in for each "y" in the equation. Then solve: -4 squared is 16, 5 times -4 is -20, so you have 16-20+7 which equals 3.
Answer:
Step-by-step explanation:
you put a point on the x axis at almost 2 because it is 1 3/4
then a point on the y axis between 4 and 5 for the 4 1/2
Answer: 20 feet.
Step-by-step explanation:
Observe the right triangle attached.
You need to find the value of "x".
Then, you can use the Pythagorean Theorem:
Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.
In this case, you can identify that:
Substitute these values into :
Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:
The function is decreasing from X=-3 to X=-1. If you look at the values of the function, the value of -3 is 17 and the value at -1 is -3. So if you draw a graph, it'll be a steep decrease to go from 17 all the way down to -3
