Answer:
im not really sure what that means im so sorry
Step-by-step explanation:
Answer:
12.4 pulg
Step-by-step explanation:
base area = base x width = 24.25 x 12.5 = 303.125 pulg^2
the volume of a rectangular prism can be expressed as :
V = base surface x height
so the height can be expressed in this way
height = V/base surface
height = 3758.75 /303.125 = 12.4 pulg
Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x = ).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
If the exterior angle is 30, then its supplement, the base angle INSIDE the polygon is 180-30 which is 150. Now we need to concentrate on the triangles involved in this n-gon. If we take one triangle out to assess, the base angle will measure half of the 150, or 75. Now each base angle is 75, so by the triangle angle-sum theorem, 180-75-75 = 30. The vertex angle of this single triangle is 30 degrees (it's not a coincidence that the vertex angle is the same measure as the exterior angle, btw). If the vertex angle measures 30, we can divide 360 by the vertex angle which will give us the number of angles in the center of this polygon. 360/30 = 12. If there are 12 central angles in this polygon, there are also 12 sides. There you go!
Answer:
Divide the area by pi. Then, square root the answer.
Step-by-step explanation:
Area of a cirlce= pi r^2