Answer:
When you take the derivative of -tan(xy) you have to account for the chain rule in the xy.
Step-by-step explanation:
Your answer should be set up as such.
0 - sec^2(xy) ((y)+(x*dy/dx)) = 0
y + x*dy/dx = 0
dy/dx = -y/x
Answer:
OW = 8
Step-by-step explanation:
It states that WC is a tangent to the circle. The line OW is the radius of the circle that meets the tangent, the circle theorem rule is that the angle a tangent makes to a radius of a circle is 90°. So angle CWO is 90°. This makes triangle CWO a right angle triangle.
Now we can use Pythagoras theorem to find the value of OW.
In the theorem c is the longest side of a right angled triangle and a and b are the smaller sides:
c² = a² + b²
So we can rearrange the equation to find on of the smaller sides:
a² = c² - b²
OW² = 17² - 15²
OW² = 289 - 225
OW² = 64
OW = √64
So OW is 8.
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
Let x = the number
.05 = .1x
5/100 = (1/10)x Multiply both sides by 10.
5/10 = x
1/2 = x
Hope this helps!