Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
Answer:
x = 
7
Step-by-step explanation:
= 49
can equal 7 or -7
7 x 7 = 49. -7 x -7 = 49
The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to
13 * PA = 60, which then turns into
PA = 60/13.
Hope this helps and have a nice day:)
Hey there!
If they're 2,000 in their time, then they must have went through 2,000 months given that they aged 1 year/month.
That means we're converting 2,000 months into years.
Because 12 months is a year, we divide 2,000 into groups of 12 (2,000/12)
to get 166 as our closest whole number. 12 times 166 is 1,992, so the remainder is 8 months.
Therefore, the aliens are 166 years and 8 months in human time.
Hope this helps!
Answer:
2
Step-by-step explanation:
