a. factor A = x^2 -30x + 225 = (x - 15)(x - 15)
side length =<u> (x - 15)</u>
b. add (x - 15) four times = 4(x - 15) =<u> 4x - 60</u>
Answer:
And rounded up we have that n=8068
Step-by-step explanation:
The margin of error for the proportion interval is given by this:
(a)
We want for this case a 95% of confidence desired, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for this case is
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=8068
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
<u>We're given:</u>
<u>1) Determine the diameter</u>

Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
<u>2) Determine the circumference of the circle</u>

Plug in the diameter 10.8

Therefore, the circumference of the circle in terms of π is 10.8π cm.
<u />
<u>3) Determine the approximate circumference of the circle </u>

Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
Answer:
<h2>The segment FE is a tangent of the sphere.</h2>
Step-by-step explanation:
Obseve the sphere in the image attached.
Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.
On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.
Therefore, segment BC is a secant and segment FE is tangent.
So, the right answer is segment FE.