Answer:
240/sqrt(pi)
Step-by-step explanation:
We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.
Let's first make an equation for this problem.
pi*r^2=14400
Dividing both sides by pi, we get
r^2=14400/pi
Now, taking the square root of both sides gives us
r=120/sqrt(pi)
We are trying to find the diameter, which is twice the size of the radius.
Thus, we multiply the equation by two.
2r=240/sqrt(pi)
adding 320,294,265 and 301=1180
4 divided by 1180=answer 295
Answer:
A. Rotation 90º clockwise about the origin B. Rotation 180º about the origin C. Rotation 90º counterclockwise about the origin D. Reflection across y=x
Step-by-step explanation:
because
Answer: one solution
Step-by-step explanation:
CONCEPT:
- One solution is when the final variable would be able to find a solution.
- Infinite solution is when the equations result in 0=0, meaning any number will fit
- No solution is when the equation results in both sides on equal.
SOLVE:
Given
3/4x-7=3(1/6x+1)
Expand Parenthesis
3/4x-7=1/2+3
Multiply both sides by the LCM of fractions (Least Common Multiple)
4(3/4x-7)=4(1/2x+3)
3x-28=2x+12
Subtract both sides by 2x
3x-28-2x=2x+12-2x
x-28=12
Add both sides by 28
x-28+28=12+28
x=40
Since we are able to get exactly one solution, there is only one solution.
Hope this helps!! :)
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Answer:
Graph B
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function
of the form
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem
a=2 ----> the y-intercept
b=3
so
1+r=3 -----> r=3-1=2 -----> r=200%
so
The y-intercept of the graph is equal to 2
As x increases the value of f(x) increases
therefore
Graph B
