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forsale [732]
3 years ago
9

Tan9 - tan27 - tan63 + tan 81 = ?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
sin9/cos9+sin81/cos81−sin27/cos27−sin63/cos63
sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4
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Find x from this triangle
algol [13]

Hello,

we are going to use the theorem of the bissectrice. (if this word is good in english)

\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}

7 0
3 years ago
The midpoint of AB is M(-1, –4). If the coordinates of A are (-3, -7), what are
quester [9]

Answer:

<h3>            B(1, -1)</h3>

Step-by-step explanation:

If M(-1, 4) is midpoint of AB then:

x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ -1-(-3)=x_B-(-1)\qquad\wedge\qquad -4-(-7)=y_B -(-4)\\\\ -1+3=x_B+1\qquad\qquad\wedge\qquad\ \ -4+7=y_B+4 \\\\ {}\qquad x_B=1\qquad\qquad\wedge\qquad\qquad \ y_B=-1

5 0
3 years ago
3
disa [49]

Answer:

21

20.7

20.23

20.22

20.102

20.005

Step-by-step explanation:

hope this helps!

5 0
3 years ago
Find a number in the sequence<br><br> 1) 100, 400, 610, ?, 652<br><br> 2) 342, 128, ?, 26
dsp73

Answer:

1.  460

2.  216

Step-by-step explanation:

1.

From the series ,

100 , 400 , 610 , ? , 652

Writing the the digits in the revere order , i.e

001 , 004 , 016 , ? , 256

Now,

Now , getting the number in the form of the multiple of 4 as -

1  ,   1 * 4 = 4  ,   4 * 4 = 16 ,  ?  , 64 * 4 = 4  

Hence , the value for ?  =  16 * 4 =  64 .

Again , reversing 64 to get the missing number of the series -

460 .

Hence ,

The value for ? is 460 .

2.

From the series ,

342 , 128 , ? , 26

Now, multiplying the first digit with the second digit and merging it to the product of the second and third digit -

3 * 4 and  4 * 2 , 1 * 2 and 2 * 8 , ?

128 , 216 , ?

Hence ,

The value for question mark = 1 * 2 and  1 * 6 = 216

Hence ,

The value for ? is 216 .

4 0
3 years ago
If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x-&gt;0)[2 f(x) - g(x)] = -3
ladessa [460]

We have by distributivity of limits over sums, and continuity of f(x) and g(x), that

\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)

Given f(0)=2, it follows that

2^2 - g(0) = -3 \implies g(0) = \boxed{7}

5 0
2 years ago
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