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3 years ago

13

How do you find x for a 45-45-90 triangle

1 answer:

Vladimir79 [104]3 years ago

6 0

In a 45 45 90 triangle, the hypotenuse equals the length of the leg multiplied by the square root of 2.
Therefore, x = 6 * square toot (2)
which equals <span> <span> <span> 8.48528</span></span></span>...

Source:
http://www.1728.org/trig2.htm

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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

2 years ago

Arrange the following numbers from smallest to largest: 3.04, 3<br> 10<br> 3.024

andre [41]

Answer:

3, 3.024, 3.04, 10

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

8 0

3 years ago

While in vacation in spain a group can rent bicycles\

Vinvika [58]

Answer:

??yes??

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!!!!!!!!!!!!!

3241004551 [841]

Answer:

C and D

Step-by-step explanation:

1

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{60}{360}$

= 2π × 10 × $\frac{1}{6}$ = $\frac{20\pi }{6}$ = $\frac{10\pi }{3}$ cm → C

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

2

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{60}{360}$

= π × 10² × $\frac{1}{6}$ = $\frac{100\pi }{6}$ = $\frac{50\pi }{3}$ cm² → D

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2 years ago

I don't want a account I just want answers

IgorLugansk [536]

Answers for what ?:o

8 0

3 years ago