Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
The way to calculate the perimeter for this particular shape would be 3x15 being as there is three 15 inch sides and when we do the multiplication we get 45 so the perimeter is 45inches have a nice day and please mark brainliest
Answer:
k = 100/9
Step-by-step explanation:
In this question, we will be solving for "k".
Solve:
9/10 = 10/k
Cross multiply.
(9 · k) = (10 · 10)
9k = 100
Divide both sides by 9
k = 100/9
Your answer would be k = 100/9
Answer:
d = 2![\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B17%7D)
Step-by-step explanation:
P1 (-5, 4) P2 (-3, -4)
Use the distance formula: d = ![\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2%20-%20x1%29%5E%7B2%7D%20%2B%20%28y2%20-%20y1%29%5E%7B2%7D%20%7D)
Plug in the values and simplify
d = ![\sqrt{(-3 + 5)^{2} + (-4 -4)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28-3%20%2B%205%29%5E%7B2%7D%20%2B%20%28-4%20-4%29%5E%7B2%7D%20%7D)
d = ![\sqrt{(2)^{2} + (-8)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%282%29%5E%7B2%7D%20%2B%20%28-8%29%5E%7B2%7D%20%7D)
d = ![\sqrt{4 + 64 }](https://tex.z-dn.net/?f=%5Csqrt%7B4%20%2B%2064%20%7D)
d = ![\sqrt{68}](https://tex.z-dn.net/?f=%5Csqrt%7B68%7D)
d = 2![\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B17%7D)
I hope this helps :)
Answer:
Katy's family got to the beach at 9:55am.
Step-by-step explanation:
In order to find Katy's family's arrival time at the beach, you need to first add amount the amount of time they spent on each activity. Since there are 60 minutes in one hour, you can add up all the minutes together and then divide by 60 minutes to get the total time in hours:
55 minutes + 115 minutes (1 hr and 55 min) + 105 minutes (1 hr and 45 minutes) = 275 total minutes
275 ÷ 60 = 4 hours and 35 minutes
If Katy's family was done with their activities at 2:30pm, we need to subtract 4 hours and 35 minutes from 2:30pm to get their arrival time. 2:30pm - 4 hours = 10:30am, now subtract another 35 minutes to get 9:55am.