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3 years ago

9

Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary. Which

step would be the third step in his proof, given the following information?

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

B

Step-by-step explanation:

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Marcial found a recipe for fruit salad that he wanted to try to make for his birthday party. He decided to triple the recipe. a.

Oksanka [162]

Convert 3 (1/2) into a mixed fraction first and then multiply it by 3:

3(1/2) * 3

(7/2) * 3

21/2

10 (1/2) = answer

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3 years ago

Calculate the slope of the line that passes through (3,2) and (−7,4)

34kurt

Answer:

-1/5

Step-by-step explanation:

It has a rise of 2 and a run of -10, therefore it is a slope of -2/10 or -1/5

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3 years ago

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An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

One angle of a triangle measures 120°. The other two angles are congruent.

lbvjy [14]

30 degrees!!!!!!!!!!!!!

7 0

4 years ago

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The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures

serious [3.7K]

Answer:

the third angle= 180-x-(4x+15)

Step-by-step explanation:

if we subtract the two other angles the result will be the measure of the last one

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3 years ago