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Vikki [24]
3 years ago
5

Use substitution to determine the solution of the system of equations. Write the solution as an ordered pair.

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0
The answer is (6,4) x=6 y=4
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NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
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At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the
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Answer:

C

Step-by-step explanation:

If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?

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AB is parallel to DC.
AlekseyPX

Answer:

Step-by-step explanation:

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70% of the 40 members of the club voted. how many voted ?
REY [17]

Answer:

28 members up in that club have voted.

6 0
3 years ago
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Standard form for y=mx+b​
butalik [34]

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

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