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densk [106]
2 years ago
15

PLZ HELP RN

Mathematics
2 answers:
boyakko [2]2 years ago
7 0

Answer:

Q- (5,-2)  S- (-3,4)

Step-by-step explanation:

LekaFEV [45]2 years ago
4 0

Answer:Q(5,-2), S(-3,4)

Step-by-step explanation:

(-3,-4) is in the third quadrant so reflected over the x-axis results in it being in the second quadrant so only the y changing to positive giving you (-3,4)

(5,2) is in the first quadrant so when reflected over the x-axis it ends up in the fourth quadrant making y turn to negative giving you (5,-2)

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Triangle ΔABC has side lengths of a = 18, <img src="https://tex.z-dn.net/?f=b%3D18%5Csqrt%7B3%7D" id="TexFormula1" title="b=18\s
ozzi

The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

<h3 /><h3>What is the law of cosine?</h3>

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

Triangle ΔABC has side lengths of a = 18, b=18√3  and c = 36 inches.

  • Part A: Determine the measure of angle A

Put the value, in the cosine law, the measure of angle A.

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\

  • Part B: Show how to use the unit circle to find tan A

Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,

\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}

  • Part C: Calculate the area of ΔABC.

Use the following formula to find area of ΔABC.,

A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2

Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

Learn more about the law of cosine here;

brainly.com/question/4372174

#SPJ1

7 0
2 years ago
Question 65 pts Which statement about signal phrases is true? (5 points) Group of answer choices Signal phrases should be worded
damaskus [11]

Answer:

The answer is A.

Step-by-step explanation:

I took the test!

6 0
3 years ago
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? How much money should be left for the whole bill?
ahrayia [7]

Answer:

The tip would be approximately $2.33.  The total amount of money that should be left on the bill is $17.73.

Step-by-step explanation:

To determine the tip: 15.50 times 0.15 = 2.325 ≈ 2.33

To determine the total: 15.50 plus 2.33

4 0
3 years ago
Find the value of x. help with geometry pls
Ivan

Answer:

Find the value of x:-

To find Y, use Pythagorean theorem:- c^{2} =a^{2} +b^{2}

(2.1)^{2} =y^{2} +(1.4)^{2}

2.1^{2}=4.41

1.4^{2} =1.96

4.41=y^{2} +1.96

subtract 1.96 from both sides

2.45=y^{2}

y=1.5652

Now, to find x:-

x=y+y

= 1.5632+1.5652

x=3.1 \: ft

<u>~OAmalOHopeO</u>

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3 years ago
When the dependent variable increases when the independent variable increases, the rate of change is
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