(x + 1) x (x - 4). When you check it you will get your original expression.
The average speed is given by:
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour
The answer is going to be 5 laps per day because I did 15 laps/3days and divided each side by 3 which the answer is going to be 5/1 but it’s basically 5 since it’s going to be a whole number in this set. Therefore the unit rate of 15 laps in 3 days is going to be 5 laps per day.
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
The formula of a volume of a cone:
![V=\dfrac{1}{3}Bh=\dfrac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DBh%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
We have:
![r=12cm,\ h=8cm](https://tex.z-dn.net/?f=r%3D12cm%2C%5C%20h%3D8cm)
Substitute:
![V=\dfrac{1}{3}\pi\cdot12^2\cdot8=\dfrac{1}{3}\pi\cdot144\cdot8=\pi\cdot48\cdot8=384\pi\ cm^2\approx384\cdot3.14=1205.76\ cm^3\approx1206\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Ccdot12%5E2%5Ccdot8%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Ccdot144%5Ccdot8%3D%5Cpi%5Ccdot48%5Ccdot8%3D384%5Cpi%5C%20cm%5E2%5Capprox384%5Ccdot3.14%3D1205.76%5C%20cm%5E3%5Capprox1206%5C%20cm%5E3)
Answer: 1206 cm³