Answer: The value of x is 5.970.
Step-by-step explanation:
Given: The square has sides length of X cm.
Let r be the radius of the circle.
The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.
Then diagonal of square = diameter of circle
i.e.
[Diagonal of square =
(side)]
i.e. 
area of circle =
i.e. 

Hence, the value of x is 5.970.
Answer:
SB=ST is not a true statement.
The two angles are not congruent.
Answer:
C, (-3, -2, 3)
Step-by-step explanation:
I literally just had this question and i got a 100. You just find what the points are, and choose the y-axis point because it's the output, like the x-axis point is the input. So for starters, we can look at the point in the upper right square corner on the grid. You would go to the left 3 times, along the x-axis, and it would be -3. Then you would go up 2 times, along the y-axis, and it would be positive 2. So the plot for that point is (-3, 2) but we want the output which is the y-axis so it would be 2. Do the same with all of the points. [you can already rule out the first 2 choices because that's giving all of the points, not just the outputs] That leaves you with the bottom 2 and only one of the choices has the positive 2 which we already found. Hence, the answer is C. Trust me, it's not hard, i didn't have to read anything, i just figured it out. And if i can, you can. You got this!
Answer:
The height of the water is 
Step-by-step explanation:
step 1
Find the volume of the tank
The volume of the inverted right circular cone is equal to

we have


substitute


step 2
Find the 25% of the tank’s capacity

step 3
Find the height, of the water in the tank
Let
h ----> the height of the water
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional

substitute

where
r is the radius of the smaller cone of the figure
h is the height of the smaller cone of the figure
R is the radius of the circular base of tank
H is the height of the tank
we have
-----> volume of the smaller cone
substitute

Simplify

