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Agata [3.3K]
3 years ago
5

Suppose you know the area of a circle and the measure of the central angle of a sector. Describe the process of finding the area

of the sector.
Divide the measure of the central angle by (Drop-Down Menu Choices: 180,90,360) and multiply the result by the (Drop-Down Menu Choices: Area, Circumference, Radius) of the circle.
Mathematics
1 answer:
seropon [69]3 years ago
6 0

Answer: 360 and area

Step-by-step explanation: Divide the Measure of the central angle by 360 and multiply the result by the area of the circle.

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What is partial derivative of z=(2x+3y)^10 with respect to x,y?
maw [93]
Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9

\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9

Or, if you actually did want the second order derivative,

\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8

and in case you meant the other way around, no need to compute that, as z_{xy}=z_{yx} by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because z is a polynomial).
3 0
3 years ago
Read 2 more answers
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
kipiarov [429]

Answer:

Multiply x + y = 3 by 3 and add it to -3x - 2y = -7

Step-by-step explanation:

When using elimination to solve a system of equations, you multiply one equation by some number. The reason for doing this is that when you add it to the second equation, you want one variable to cancel out. When one variable cancels out (in this case x), you can solve for the other variable (in this case y). I will show this:

3(x + y = 3) = 3x + 3y = 9

   3x +  3y =  9

+ -3x + -2y = -7

---------------------------

              y  = 2

Now, knowing that y = 2, you can substitute y=2 into either equation to solve for x.

-3x - 2(2) = -7

-3x -4 = -7

-3x = -3

x = 1 | to double check (1, 2) as your answer plug these values into both equations

Finding this solution would not have been possible if not for cancelling out the x's above. The other three are wrong because none of the other options cancels out one of the variables.

3 0
3 years ago
An apple farmer is deciding how to use each day's harvest. She can use the harvest to produce apple cider or apple juice for the
Andreas93 [3]

Answer:For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,

                                           x + y = 18

                                          20x + 15y = 330

The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.

Step-by-step explanation:

3 0
3 years ago
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A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3.14 for Pi. A cylinder has a h
Alik [6]

Answer:

602.88

Step-by-step explanation:

5 0
3 years ago
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Carissa counts by 5s from 32 to 62. Which number does carissa count?
polet [3.4K]

Answer:

32, 37, 42, 47, 52, 57, 62.

Step-by-step explanation:

It is given that Carissa counts by 5s from 32 to 62.

It means, we have to add 5 in the number to get the next number.

Add 5 in 32.

32+5=37

Now, add 5 in 37.

37+5=42

Similarly, continue the process.

42+5=47

47+5=52

52+5=57

57+5=62

Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.

8 0
3 years ago
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