Steps:
216 mm3 is the volume.
Given the volume, you can take the cube root of the volume to find the side.
The cube root of 216 is 6.
Answer: 6
Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Answer:
(x+3)^2 + (y-5)^2 = 4^2
or
(x+3)^2 + (y-5)^2 = 16
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x--3)^2 + (y-5)^2 = 4^2
(x+3)^2 + (y-5)^2 = 4^2
or
(x+3)^2 + (y-5)^2 = 16
Answer:
Step-by-step explanation:
