Answer:
A
Step-by-step explanation:
<h3>Numerator</h3>
(3x)(3x) = 9x^2
√9x^2 = 3x
Numerator = 3x
<h3>Denominator</h3>
√18y^2 = √18 · √y^2
√18 = 3√2
√y^2 = y
3√2y
Denominator = 3√2y
Now we need to rationalize the denominator, and get rid of the square root on the bottom
* 
= 
= 
Answer:
0.5375
Step-by-step explanation:
The point estimate of proportion of all Americans who are in favor of outlawing cheese can be computed as
p=x/n
Here. x is the number of favorable outcomes and n is sample size.
We are given that x=2150 and n=4000, So,
p=2150/4000
p=0.5375.
Thus, the point estimate of proportion of all Americans who are in favor of outlawing cheese is 0.5375.
Answer:
<u>4x = 20</u>
<u>x = 5</u>
<u></u>
Step-by-step explanation:
Have a nice day!
There exist an abbreviation that ALL - S - T - C where all trigonometric functions in first quandrant are positive. S, T, and C are the first letters of the trigonometric functions that are positive in quadrant 2, 3, and 4, respectively. This also means that in the same quadrant, their reciprocals are also positive. For the given above, it is in Quadrant 3 where T is positive and cosine is negative.
Answer:
Step-by-step explanation:
The tunnel, the ground and the depth of the tunnel form a right angle triangle.
The length of the tunnel is the hypotenuse of the right triangle that has been formed.
Let the length of the tunnel be 
.
Using the sine ratio, we obtain;
The length of the opposite side is 
We substitute the given values to obtain;
We cross multiply to obtain;
Therefore the correct answer is C.
