Answer:
Step-by-step explanation:
The formula for determining the length of a rectangle is expressed as
Area = length × width
The large rectangle has a length of 10 units and width 5 units. The area of the large rectangle would be
10 × 5 = 50 units²
Inside this rectangle is a smaller rectangle of length 4 units and width 2 units. The area of the smaller rectangle would be
4 × 2 = 8 units²
Probability is expressed as favorable outcome/total number of possible outcomes
The region that is not shaded grey is
50 - 8 = 42 units²
The probability that a point chosen inside the large rectangle is not in the shaded region is
42/50 = 0.84
Converting to percentage, it becomes
0.84 × 100 = 84%
15+6<span>√3 is the correct answer.
Work:
</span><span>√75 + √3 √75 + √3
5</span>√3+√3+√3*5√3
6√3+3*5
15+6√3
Answer:
Zero Solutions
Step-by-step explanation:
3x+3-5=3x-2
3x-3x= -2+5
0= 3
0 does not equal 3, so zero solutions.
(1) For the parabola on the bottom row, the domain would be R and the range would be y ≥ -5
(2) For the hyperbola on the bottom row, the domain would be R\{3} (since there is an asymptote at x = 3) and the range would be R\{4} (since there is an asymptote at y = 4)
(3) For the square root function on the bottom row, the domain would be x ≥ -5 and the range would be (-∞, -2]
(4) For the function to the very right on the bottom row, the domain would be R and the range would be (-∞, -3]
Answer:
r = 6
Step-by-step explanation:
V(cyl) = π · r² · h
144π = π · r² · 4
144 = r² · 4
<u>144</u> = r²
4
r =
÷ 
r = 12/2
r = 6