Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., 
.
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
Answer:
x = - 3 / 2 ( in decimal form = - 1.5)
Step-by-step explanation:
9(x - 1) - 8x = -3(x + 5)
left side: 9(x - 1) - 8x
Expand... 9x - 9 - 8x
= (9x - 8x) - 9
= 1x - 9 or <em>x - 9</em>
right side: -3(x + 5)
Expand... <em>-3x - 15</em>
combine :
x - 9 = -3x - 15
Add 9 to both sides to get x alone
x - 9 + 9 = -3x - 15 + 9
x = -3x - 15 + 9
x = -3x - 6
Add 3x to both sides
x + 3x = -3x - 6 + 3x
simplified, 4x = -6
Now divided 4 from both sides
4x / 4 = -6 / 4
simplify, x = -6 / 4
You can reduce the fraction by dividing it by 2
(-6 / 2) / (4 / 2) = -3 / 2
Hope this helps, Let me know if you have any questions !
Have a nice day :)
Answer:
40% is what i think it is
Answer:
3.7 ounces
Step-by-step explanation:
You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)
