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2 years ago

Which expression is not equal to 1?

Mathematics

2 answers:

ANTONII [103]2 years ago

7 0

Answer:

sin A cos A

Step-by-step explanation:

[ I don't know to type angle theta here so assume A as theta]

As , sin A= p/ h

cos A= b/ h

so,

sinA cosA = p/ h × b/h

= pb/ h^2 ( which is not equal to 1 )

Tip; you can easily verify other relations expressing trigonometric ratios in terms of p,b & h and further simplifying..

svetlana [45]2 years ago

6 0

Answer:

sin θcos θ

hope it is helpful to you

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Find the value of x. Round to the nearest tenth.

Helga [31]

Answer:

x = 22.1°

Step-by-step explanation:

Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad

Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad

Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad

4 0

2 years ago

Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive

Ivan

Answer:

(a) The average cost function is $\bar{C}(x)=95+\frac{230000}{x}$

(b) The marginal average cost function is $\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose $C(x)$ is a total cost function. Then the average cost function, denoted by $\bar{C}(x)$ , is

$\frac{C(x)}{x}$

We know that the total cost for making x units of their Senior Executive model is given by the function

$C(x) = 95x + 230000$

The average cost function is

$\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}$

(b) The derivative $\bar{C}'(x)$ of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

$\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0$

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95$

6 0

3 years ago

If f(x)=2x-5, which expression represents f(x+1)? A) 2x-3, B) 2x-4, C)2x-5, D)2x+7

Dovator [93]

F(x)=x^2+2x+1 & g(x)=3(x+1)^2
now, f(x)+g(x)
=x^2+2x+1+3(x+1)^2
=x^2+2x+1+3(x^2+2x+1)
=x^2+2x+1+3x^2+6x+3
=4x^2+8x+4<===answer(c)
next:
f(x)=x^2-1 & g(x)=x+3
now, f(g(x))=(x+3)^ -1
=x^2+6x+9-1
=x^2+6x+8<====answer(b)
i solve two of ur problems.
now try the 3rd one that is similar to no. 1
and try the last two urself.

5 0

2 years ago

In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.

Margaret [11]

m∠8 + m∠7 = 180°

therefore

m∠7 = 180° - m∠8

m∠8 = 124°

substitute:

m∠7 = 180° - 124° = 56°

Answer: 56 degrees

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3 years ago

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How put a number as a percentage

kirill115 [55]

Answer:

You need more information. But typically multiplly by 100 so .1 would be 10 %

Step-by-step explanation:

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2 years ago

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