Average speed = total miles / total time
= (16+24)/(2+2)
=40/4= 10mph
Assuming that the base of the prism is a regular pentagon, the area of a regular polygon is given by the formula A = 0.5pa; where p is the perimeter and a is the apothem. An apothem is a line that connects the center of the polygon to the midpoint of a side and is also perpendicular to the said side. For this example, the assumed apothem here is k.
Area of base = 2 (0.5 x 20" x k) = 20k
The sides of the prism are rectangles, with width 6" and length (20"/5) = 4".
Area of sides of prism = 5 (6" x 4") = 120
Total Area T.A. = 120 + 20k
Answer:
5 (x - 1) (4 x + 7)
Step-by-step explanation:
Factor the following:
20 x^2 + 15 x - 35
Factor 5 out of 20 x^2 + 15 x - 35:
5 (4 x^2 + 3 x - 7)
Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is -7. The product of 4 and -7 is -28. The factors of -28 which sum to 3 are -4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):
5 7 (x - 1) + 4 x (x - 1)
Factor x - 1 from 7 (x - 1) + 4 x (x - 1):
Answer: 5 (x - 1) (4 x + 7)
Answer:
76.86
Step-by-step explanation:
Probability = Possible outcome ÷ total outcome
Probability = 455 ÷ (455 + 157) = 0.768581081081
Answer in percent = 0.768581081081 × 100 = 76.86
Answer:
I think B
Step-by-step explanation:
