We know that
An exterior angle is one that has its vertex at an outer point of the circumference
The measure of the external angle is the semidifference of the arcs that it covers

so
∠NOP=(70-30)/2-----> 20°

the answer is
∠NOP=20°

6 0

3 years ago

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

Alecsey [184]

Answer: $-2xe^{-x^2}$

Step-by-step explanation:

Let u be a differentiable function , then

$\dfrac{d}{dx}(e^x)=e^x$

$\dfrac{d}{dx}e^u=e^u\dfrac{du}{dx}$ (1)

Given function : $y = e^{-x^2}$

Differentiate both sides with respect to x , we get

$y'=e^{-x^2}\dfrac{d(-x^2)}{dx}$ (By using (1))

$\Rightarrow\ y'=e^{-x^2}(-2x)$ [∵ $\dfrac{d}{dx}(x^n)=x^{n-1}$ ]

$\Rightarrow\ y'=-2xe^{-x^2}$

Hence, the derivative of the given function is $-2xe^{-x^2}$ .

4 0

4 years ago

I need 50 gallons of milk replacer for calves and the powder mixture says it's 6.25 oz for 5 gallons how many oz of powder do I

zubka84 [21]

Answer:

62.5 oz

Step-by-step explanation:

We can use the ratio proportion method:

x:50::6.25:5

x = (50x6.25)/5

OR a more simple method is to do this:

5 gallons of milk require 6.25 oz. How many oz of powder do I need to get 10x that amount? Since 50 is 10x5, you do the same thing for 6.25, and get 62.5

3 0

3 years ago

Find the volume of each figure. 10 in 12 in 6.9 in

cluponka [151]

Answer:

828 in^3

Step-by-step explanation:

10*12*6.9 = 69*12 = 828 in^3

4 0

3 years ago