Answer is
-2
Hope this helped! :)
Log(3) + log(x)=log(66)
log(x)=log(66)-log(3)
log(x)=log(66/3)
log(x)=log(22)
x=22
Answer:
First take 0.23 as 0.23/1
Then Multiply the numerator and denominator by any number, Let us say 100
So it becomes,
0.23 x 100/100
=> 23/100
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer:
A - 2 feet
Step-by-step explanation:
We know that the tank is a rectangular prism which means the volume is equal to length*width*depth
since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth
30/5 = 6
6/3 = 2
therefore, the depth of the tank has to be 2 feet (A)
