Answer:
k = +/-√48
Step-by-step explanation:
4x^2 + kx + 3 = 0
For equal (duplicate) roots the discriminant = 0, so
k^2 - 4*4*3 = 0
k^2 - 48 = 0
k^2 = 48
k = +/-√48
The diameter of the outer ring will be 4 inches since it extends one inch beyond the bull's eye from either side. See the attached image for clarification.
The area of the outer ring can be expressed as:

This is because we need to take into account of the space taken up by the bullseye.
Now we set up our equation:

Now plug and solve:


The interior angles of a triangle need to be equal to 180°, so to solve this you need to figure out how many degrees you need to get 180°.
46 + 61 = 107
180 - 107 = 73
The measure of the third angle is B. 73°.
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.