Answer:
1
Step-by-step explanation:
When n -->∞,
90/∞ ---> 0°.
cos(0° )= 1
1^(2n)=1, 1 in any power is 1.
Answer:
(3,-1)
Step-by-step explanation:
1) Solve equation for y
2) Plug into other equation
3) Solve for x
4) Plug in the value found for x
5) Solve for y
Answer:
PB=5
Step-by-step explanation:
Since you know that BD=24, you also know that both segments BC and CD have the same value since they're congruent: 12. You also were given the value of PC. Using Pythagorean Theorm, Substitute 12 for a and 13 for c, so the equation would say
12^2+b^2=13^2
Simplify to get
144+b^2=169
Now subtract 144 from 169 and you get 25. That is b^2. All you have to do now is square root 25 to isolate b.
√25=5
So therefore,
b=5
Answer:
Hence, the sphere has a radius of 
and is centered at the point (1,-1,1)
Step-by-step explanation:
We have the equation
We have to take into account the relation between coordinates
by substituting we have:
![\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z](https://tex.z-dn.net/?f=%5Crho%3D2%5B%5Cfrac%7Bx%7D%7B%5Crho%7D-%5Cfrac%7By%7D%7B%5Crho%7D%2B%5Cfrac%7Bz%7D%7B%5Crho%7D%5D%5C%5C%5C%5C%5Crho%5E2%3D2x-2y%2B2z%5C%5C%5C%5Cx%5E2%2By%5E2%2Bz%5E2%3D2x-2y%2B2z)
We have to complete squares:
Hence, the sphere has a radius of and is centered at the point (1,-1,1)
hope this helps!!
#1 is correct because there is one decimal point and the answer which is 157.4476 there is the decimal point on the right spot
Remember when you multiply decimal you need to line the decimals
Hope this helped
