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2 years ago

Which explanation justifies how the area of a sector of a circle is derived?.

Mathematics

1 answer:

kifflom [539]2 years ago

7 0

Step-by-step explanation:

We know the area of a circle is

$\pi {r}^{2}$

That is when the cricle is 360 degrees full, so another formula is

$\frac{360}{360} \pi {r}^{2}$

If we the find the area of the sector with angle x, then that formula will be

$\frac{x}{360} {\pi}r^{2}$

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6 = 3(3x-6) - 3(3x - 8)

frez [133]

Answer:

Pull out like factors

3x - 6 = 3 • (x - 2)

Pull out 6

6 • ( 1 +( (-1) ))

This equations is a tautology or an Identity which means it's always true.

Step-by-step explanation:

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3 years ago

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Find the values of x and y that maximizes the objective function P=3X+2Y for the graph. what is the maximum value?

diamong [38]

Substitute in the 3 points to find the values.

P(0,8) = 3(0) + 2(8) = 16 
P(5,4) = 3(5) + 2(4) = 15 + 8 = 23 
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3 years ago

4x^2 = 92 + 7x solve the equation using the guadratic formula, show all work

katovenus [111]

$4x^2=92+7x\ \ \ \ |-4x^2\\\\-4x^2+7x+92=0\\\\a=-4;\ b=7;\ c=92\\\\b^2-4ac=7^2-4\cdot(-4)\cdot92=49+1472=1521\\\\\sqrt{b^2-4ac}=\sqrt{1521}=39\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-7-39}{2\cdot(-4)}=\dfrac{-46}{-8}=\dfrac{23}{4}\\\\x_2=\dfrac{-7+39}{2\cdot(-4)}=\dfrac{32}{-8}=-4$

$\text{Answer:}\ A.\ \left\{\dfrac{23}{4};\ -4\right\}$

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3 years ago

You are a farmer and want to spend under $35,000 on farm equipment. You need a hay bailer that costs $6,250 and several plowing

Reptile [31]

2,500x+6,250=35,000

x= # of plowing disks

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3 years ago

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Neko [114]

Answer:

500

Step-by-step explanation:

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3 years ago