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vodka [1.7K]
3 years ago
15

Draw the translation of LM along the vector (4, -5)

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
I think this is true:
\binom{0}{ - 2}
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Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
The 12th term in a sequence with a common difference of-9 is -106. which of the following formulas can be used to represent this
Effectus [21]

Answer:

T12=a-99=106

Step-by-step explanation:

that's the answer

6 0
2 years ago
The sum of a number and 6% of itself is 42.4. find the number
kvasek [131]

Answer:

40

Step-by-step explanation:

6% of number = 6/100 × x = 6x/100 = 3x/50

Sum of the number and 6% of itself = 42.4

x + (3x/50) = 42.4

(50x+3x)/50 = 42.4

53x = 42.4 × 50

53x = 2120

x = 2120/53

x = 40


8 0
3 years ago
Read 2 more answers
At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green
Rainbow [258]
I think the answer is D) 8 over 32 multiplied by 7 over 31
Hopefully that helped! :) 
4 0
3 years ago
Please help and explain <br><br> question 12
il63 [147K]

The sunflower is 2.387 meters tall.

The question is asking: which rounding will result in the greatest value?

To see, we need to round 2.387 to meter, tenth meter, and hundredth meter.

Meter - 2 meters

Tenth meter - 2.4 meters

Hundredth meter - 2.39 meters

As you see, rounding to the tenth meter gives the greatest value of 2.4. Therefore, Bahir should use a decimal rounded to the tenth meter.

3 0
3 years ago
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