Let's consider the standard and usually used value of irrational numbers given in the question.
- It is asked to see which is closed to 5.66
So, let's see the options:
A) GiveN:

Let consider π = 3.14



B) GiveN:

Here also, let's consider the value be 3.14



C) GiveN:

Let's consider the value of √2 be 1.414


D) GiveN:

Let's consider the value of √3 be 1.732


So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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Answer:

Step-by-step explanation:
The given trigonometric equation is
.
We can either use the Pythagorean identity or the right angle triangle to solve for
.
According to the Pythagorean identity,

Recall that, the cosine function is an even function, therefore

.
We substitute this value in to the above Pythagorean identity to get;






But we were given that,
, so we choose the negative value.

The correct answer is B
Answer:
The x-value is -2
Step-by-step explanation:
U can substitute any of the equations for y
-5x + (-9) = 2x + 5
-9 = 7x + 5
-14 = 7x
-2 = x
x = 2
Subtract 43 from both sides
-6p=-30
Divide both sides by -6
p=5
Final answer: p=5
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3π
h
The formula for the volume of the cylinder is :
V = π
h
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π
(3h) = π
h
Therefore Cone Z and Cylinder Y have same volume.