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svetlana [45]
3 years ago
11

Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation

?

Mathematics
2 answers:
solong [7]3 years ago
8 0

Answer:

180

Step-by-step explanation:

pychu [463]3 years ago
6 0
180 is the correct answer
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The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig
patriot [66]

Answer:

sin α = \frac{y}{r} = \frac{1}{\sqrt{10} }

cos α = \frac{x}{r} = \frac{3}{\sqrt{10} }

tan α = \frac{y}{x} = \frac{1}{3}

cot α = \frac{x}{y} = \frac{3}{1}

sec α = \frac{r}{x} = \frac{\sqrt{10} }{3}

csc α = \frac{r}{y} = \frac{\sqrt{10} }{1}

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = \sqrt{x^2+y^2}

Here it is: \sqrt{3^2+1^2} = \sqrt{9+1} = \sqrt{10}

So we have:

x = 3

y = 1

r = \sqrt{10}

Now we can calculate all 6 trig, functions:

sin α = \frac{y}{r} = \frac{1}{\sqrt{10} }

cos α = \frac{x}{r} = \frac{3}{\sqrt{10} }

tan α = \frac{y}{x} = \frac{1}{3}

cot α = \frac{x}{y} = \frac{3}{1}

sec α = \frac{r}{x} = \frac{\sqrt{10} }{3}

csc α = \frac{r}{y} = \frac{\sqrt{10} }{1}

6 0
2 years ago
Kathy rode her bike 8 miles today. This was 1/4 of the miles she rode this month. How many miles m did Kathy ride her bike this
anastassius [24]
So basically it would be 8x4 
4 0
4 years ago
Read 2 more answers
Which is equivalent to 12(323)?
sladkih [1.3K]

Answer:

3,876

Step-by-step explanation:

if you multiply 323 by 12 you get 2,876. Hope this helps!


5 0
4 years ago
Read 2 more answers
Use the Distributive property to write an expression equivalent 5 times ( 3+4 ).
algol13
You can set this up as 5(3+4)....then, distribute by multiplying the terms in parentheses by 5. This gives you 15+20, which equals 35.
8 0
4 years ago
Can someone please simplify this for me?<br><br> √36a²b^4
Anni [7]

Answer:

(4)/(\sqrt(2))

Step-by-step explanation:

7 0
3 years ago
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