Find the product of 3a+5 and 2a^(2)+4a-2
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
- The line which is 8 units long is a chord of the circle.
- The line that is 3.6 is <em>almost</em> the radius of the circle
- The line that x sits on is the radius.
With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
Answer
Find the volume of the coin is cubic millimeters.
To prove
Formula
Where r is the radius and h is the height .
As given
The $1 coin depicts Sacagawea and her infant son.
The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.
Radius = 13.25 mm
Put in the formula
Volume of coin = 3.14 × 13.25 × 13.25 × 2.00
= 1102.53 mm³ (approx)
Therefore the volume of the coin is 1102.53 mm³ .