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3 years ago

In triangle JKL, solve for x

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

8 0

Answer: x = 74.89

Step-by-step explanation:

sin 27= opp/hyp = 34/x

x(sin 27)/(sin 27) = 34/(sin 7)

x(0.453990499)/(0.453990499) = 34/0.453990499

x= 74.89

Im actually working on this question rn, and i was a little confused so i came here but turns out i just put some other ratio on my calc. Hope this helped.

MrRissso [65]3 years ago

3 0

I hope this helps you

sin27=0.45=34/x

x=34/0.45

x=75.55

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Zinaida [17]

The total cost for the entire life span of the deep fryer is computed below:
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3 years ago

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4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

3 years ago

3-5b=-32 Please help!

Inessa05 [86]

Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

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3 years ago

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Lemur [1.5K]

Answer:

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Step-by-step explanation:

its a ratio and proportion:

15 ft. tall giraffe = 5 ft. tall bird

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x = 6 ft. long shadow

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3 years ago

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2 years ago

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