Determine whether the relation is a function. {(−3,−6),(−2,−4),(−1,−2),(0,0),(1,2),(2,4),(3,6)}
Gennadij [26K]
Answer:
The relation is a function.
Step-by-step explanation:
In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.
Answer:
26.8°
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.
If cos B = 0.8926
then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.
B = cos-1 0.8926
= 26.8°
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: ![Volume=\pi r^2\frac{h}{3}](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20r%5E2%5Cfrac%7Bh%7D%7B3%7D)
Putting values and finding volume
![Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20r%5E2%5Cfrac%7Bh%7D%7B3%7D%5C%5CVolume%3D3.14%5Ctimes%20%284.7%29%5E2%20%5Ctimes%20%5Cfrac%7B16.8%7D%7B3%7D%5C%5CVolume%3D3.14%5Ctimes%2022.09%20%5Ctimes%205.6%5C%5CVolume%3D%20388.43%20%5C%3Ain%5E3)
So, Volume of right circular cone is 388.43 in³
Answer:
x=22
Step-by-step explanation:
180-48=132
360-132=228
25+85+228=338
360-338=22