Arectangular dartboard has an area of 648 square centimeters. the triangular part of the dartboard has an area of 162 square centimeters. a dart is randomly thrown at the dartboard. assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle? to the nearest whole percent, the probability is a) 18 b) 25 c) 35 d) 50

B) 25

Step-by-step explanation:

Given: A rectangular dartboard has an area of 648 square centimeters.

The triangular part of the dartboard has an area of 162 square centimeters.

If a dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, the probability (in percent) that it lands inside the triangle will be :

Hence, the probability that it lands inside the triangle = 25%.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.