Answer: 2x + y
<u>Step-by-step explanation:</u>
logₐ(3) = x
logₐ(5) = y
logₐ(45) = logₐ(3²· 5)
= logₐ(3)² + logₐ(5)
= 2 logₐ(3) + logₐ(5)
= 2 x + y <em>substituted given values (stated above)</em>
Answer:
Therefore,
![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
is the required r
Step-by-step explanation:
Given:
Volume of inside of the sphere is given as
where r is the radius of the sphere
To Find:
r =?
Solution:
We have
......Given
![3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}](https://tex.z-dn.net/?f=3%5Ctimes%20V%3D4%5Cpi%20r%5E%7B3%7D%20%5C%5C%5C%5C%5Ctherefore%20r%5E%7B3%7D%3D%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%5C%5C%5C%5C%5Ctherefore%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D%20%5Ctextrm%7Bwhich%20is%20the%20expression%20for%20r%7D)
Therefore,
is the required r
25 and then add the decimals they have to be aaddd by the two decimals
Answer:
80 degrees
Step-by-step explanation:
We can use the Central Angle Theorum, which states that if the vertex of the angle is the center of the circle, then the arc is the same measurement as the angle.
In this case, m<COB is 80 degrees, and the vertex is the center of the circle, which means that measure of arc CB is also 80 degrees
We know that the point is in Q II. Thus, the x-coordinate of this point will be negative and the y-coordinate will be positive.
The y-coordinate is essentially given, and is y=4.
Imagine drawing a vertical line thru x=-2. This line will intersect y=4 at (-2,4).
The coordinates of the point are (-2, -4).
