Answer: c
Step-by-step explanation:
You have to find the area of the base, step 2 multiply by the height. Then multiply length and radius in a circle of a base. The correct answer is C. use the diameter to find the radius of the cylinder to find the volume.
In order to find the number of hours it takes to do the full rotation we separate into pieces the days, hours, and minutes and convert each of them separately.
using the conversion factor from days to hours we get that
![1\text{day}=24\text{hours}](https://tex.z-dn.net/?f=1%5Ctext%7Bday%7D%3D24%5Ctext%7Bhours%7D)
then we get that
![38\text{days}\cdot\frac{24\text{hours}}{1day}=912hours](https://tex.z-dn.net/?f=38%5Ctext%7Bdays%7D%5Ccdot%5Cfrac%7B24%5Ctext%7Bhours%7D%7D%7B1day%7D%3D912hours)
hours does not need a conversion factor, meaning that
![10\text{hours}=10\text{hours}](https://tex.z-dn.net/?f=10%5Ctext%7Bhours%7D%3D10%5Ctext%7Bhours%7D)
continue by converting the minutes using the following conversion factor
![1\text{hour}=60\min](https://tex.z-dn.net/?f=1%5Ctext%7Bhour%7D%3D60%5Cmin%20)
then,
![30\min \cdot\frac{1\text{hour}}{60\min }=0.5\text{hours}](https://tex.z-dn.net/?f=30%5Cmin%20%5Ccdot%5Cfrac%7B1%5Ctext%7Bhour%7D%7D%7B60%5Cmin%20%7D%3D0.5%5Ctext%7Bhours%7D)
To complete add all the results together
![\begin{gathered} 912+10+0.5 \\ 922.5\text{hours} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20912%2B10%2B0.5%20%5C%5C%20922.5%5Ctext%7Bhours%7D%20%5Cend%7Bgathered%7D)
It takes mercury 922.5 hours to complete a full rotation.
Answer:
can't understand language
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
4c + 6a ≤ 120:
You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.
4c + 4a ≤ 100:
You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.
4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120
4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Sin(pi/6) = 1/2
tan(pi/4) = 1