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3 years ago

Find angle. Picture below!

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

m<QRP=42degrees

m<Q=79degrees

m<P=59degrees

Step-by-step explanation:

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Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

7 0

3 years ago

Please help me with the correct answer <br><br> Solve (x - 3)^2=5

Rus_ich [418]

The answer is B. First solve the parentheses. Then make a quadratic equation and solve from there.

4 0

3 years ago

Read 2 more answers

19 – 5x = 9(1+x) solve

Maurinko [17]

$\Large\boxed{\tt Answer:~x=\frac{5}{7} }$

$\tt Step-by-step~explanation:$

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

7 0

3 years ago

Read 2 more answers

Solve mathematics problem in photo please!

laila [671]

Hello,

8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7

Answser A

8 0

3 years ago

10. An expression is shown.

dolphi86 [110]

Answer: -0.25n-0.15

Step-by-step explanation:

simplify

0.5n+0.3-0.75n-0.45

Combine like terms

-0.25n-0.15

6 0

1 year ago