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Anni [7]
3 years ago
15

Please explain your answer. THX!

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

(3)

Given cosΘ = - \frac{4}{5}

Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )

Since Θ in second quadrant then sinΘ > 0

sinΘ = \frac{3}{5}

Using the trigonometric identity

sin2Θ = 2sinΘcosΘ, then

sin2Θ = 2 × \frac{3}{5} × - \frac{4}{5} = - \frac{24}{25}

(4)

Using the trigonometric identity

cos(x - y) = cosxcosy + sinxsiny

note cos15° = cos(45 - 30)°

cos(45 - 30) = cos45cos30 + sin45sin30

                    = ( \frac{\sqrt{2} }{2} × \frac{\sqrt{3} }{2}) + (\frac{\sqrt{2} }{2} × \frac{1}{2})

                    = \frac{\sqrt{2(\sqrt{3}+1) } }{4}

         

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Using the figure below find what m<_1=. (show work if possible)
NeX [460]

Answer:

117° since they are alternate exterior angles

7 0
3 years ago
What is 4 1/4 -3 3/5
shutvik [7]
First make the denominators the same = 4 5/20 - 3 12/20. Then make them improper fractions= 85/20-72/20= 13/20. Since that is already simplified the answer is 13/20.
5 0
3 years ago
Can you please help me out?
larisa86 [58]

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

log_{10} 10^{n} = n

Given

log_{10} 3 ≈ 0.4771, then

log_{10} 0.0003

= log_{10} (3 × 10^{-4} )

= log_{10} 3 + log_{10} 10^{-4}

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

8 0
3 years ago
Can someone help please 3x-y=13 A. (6,5) B.(3,-4) C. (6,5) and (3,-4) D. neither
gavmur [86]

Answer:

C. (6, 5) and (3, -4)

Step-by-step explanation:

Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try with (6, 5):

3x - y = 13

3 * 6 - 5 =? 13

18 - 5 =? 13

13 = 13

Since this is true, we know that (6, 5) is indeed a solution.

Now let's try with (3, -4):

3x - y = 13

3 * (3) - (-4) =? 13

9 + 4 =?13

13 = 13

Again, since this is true, then (3, -4) must be a solution.

Thus, the answer is C.

<em>~ an aesthetics lover</em>

6 0
2 years ago
Read 2 more answers
Can you make 2/10 in simplest form
Zinaida [17]
1/5 thats the answer

i hope this help you
8 0
3 years ago
Read 2 more answers
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