Answer:
The length for the first one is 97 degrees
Answer:
Choice A) 
.
Step-by-step explanation:
What are the changes that would bring 
to 
?
- Translate to the left by
unit, and - Stretch vertically (by a factor greater than .)
. The choices of listed here are related to :
- Choice A)
; - Choice B)
; - Choice C)
; - Choice D)
.
The expression in the braces (for example 
as in ) is the independent variable.
To shift a function on a cartesian plane to the left by 
units, add to its independent variable. Think about how 
, which is to the left of , will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by units, subtract from its independent variable.
For example, 
is unit to the left of . Conversely, 
is unit to the right of . The new function is to the left of . Meaning that should should add to (rather than subtract from) the independent variable of . That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between
and zero will flip its graph about the -axis. Doing so will also compress the graph vertically. - Multiplying a function by a number that is less than will flip its graph about the -axis. Doing so will also stretch the graph vertically.
The graph of is stretched vertically. However, similarly to the graph of this graph , the graph of increases as increases. In other words, the graph of isn't flipped about the -axis. should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points 
's that are on the graph of fit into the expression 
.
In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume,
V = (1/3)π(3²)(10)
= (1/3)(9)(10)π
= (3)(10)π
= 30π cm³
The correct answer is the first option which is 30π cm³.
Answer:
Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:
To convert from a decimal to a percentage, multiply by 100:
Tan(15) = tan(45 - 30)
= [tan(45) - tan(30) ] / [ 1 + tan(30)tan(45)]
= (1 - 1/sqrt(3)) /(1 + 1/sqrt(3))
= (sqrt(3) - 1)/(sqrt(3) + 1)
= (sqrt(3) - 1)^2 /(3 - 1)
= 1/2 [3 + 1 - 2sqrt(3) ]
= (2 - sqrt(3) )
= 0.27 is your answer
