Answer:
50% change in volume
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes.</h2>
In this problem we are to find the volume of the first cylinder and compare with the second cylinder.
Given data
Volume v = ?
Diameter d=
?
Radius r = ![10 in](https://tex.z-dn.net/?f=10%20in)
Height h= ![5 in](https://tex.z-dn.net/?f=5%20in)
we know that the volume of a cylinder is expressed as
![volume = \pi r^{2}h](https://tex.z-dn.net/?f=volume%20%3D%20%5Cpi%20r%5E%7B2%7Dh)
Substituting our given data we have
![volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\](https://tex.z-dn.net/?f=volume%20%3D%20%5Cpi%2A10%5E%7B2%7D%2A5%5C%5C%20volume%3D%20%5Cpi%20%2A100%2A5%5C%5Cvolume%3D%20500%5Cpi%20in%5E%7B3%7D%20%5C%5C)
The first cylinder as a volume of ![500\pi](https://tex.z-dn.net/?f=500%5Cpi)
The change in volume is ![750\pi - 500\pi = 250\pi](https://tex.z-dn.net/?f=750%5Cpi%20-%20500%5Cpi%20%3D%20250%5Cpi)
percentage = ![\frac{250\pi }{500\pi } *100](https://tex.z-dn.net/?f=%5Cfrac%7B250%5Cpi%20%7D%7B500%5Cpi%20%7D%20%2A100)
![percentage=](https://tex.z-dn.net/?f=percentage%3D)
%
Answer:
6 units
Step-by-step explanation:
(-4 , -10) ; (-4 , -4)
Distance = ![\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
![= \sqrt{(-4-[-4])^{2}+(-4-[-10])^{2}}\\\\= \sqrt{(-4+4)^{2}+(-4+10)^{2}}\\\\=\sqrt{0+(6)^{2}}\\\\= \sqrt{36}\\\\= 6](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%28-4-%5B-4%5D%29%5E%7B2%7D%2B%28-4-%5B-10%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B%28-4%2B4%29%5E%7B2%7D%2B%28-4%2B10%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B0%2B%286%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B36%7D%5C%5C%5C%5C%3D%206)
Answer:
∠5
Step-by-step explanation:
Complementary angles are angles that:
- sum to 90°
- make a right angle
Given this information, angles 2, 3, and 4 are already right angles. That leaves angle 5 and angle 1 to be complementary with each other, as they form a right angle.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren
Well, you need a diagram (see attached).
Since angle S = angle T then
9x -11 = 7x -3 ...... 2x = 8 ........ x = 4
RS = RT = 4
There must be some more information that can't be seen