Answer:
The answer to your question is: The second option is correct
Step-by-step explanation:
Data
x³ + 4x² - 43x - 10 by x-5
Synthetic division
1 4 -43 - 10 5
5 45 10
1 9 2 0
Result x² + 9x + 2
Answer:
37 miles per hour
Step-by-step explanation:
To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).
So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.
There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.
Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):
8 ÷ 13/60
Remember, a ÷ b/c = a × c/b. Using this:
8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.
Latoya had an average rate of about 37 miles per hour.
I hope this helps. :)
(1) the diameter is 20 inches whats the radius? And whats the circumference?
Radius is half the diameter, Answer: 10 inches
Circumference is pi times the radius, Answer: 10π inches
I won't bother with the approximation, though this one is easy, 31.4159 inches. I'll leave the rest of the calculator work to you if necessary.
(2) the diameter 11 inches whats the radius? And whats the circumference?
Radius half, Answer: 5.5 inches. Circ: 5.5π inches
(3) the diameter 3.5 inches whats the radius? And whats the circumference?
Radius, 1.75 inches. Circ: 1.75π inches
