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3 years ago

How do you find sin20°cos40°+cos20°sin40°

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

That's of course the sum angle formula for sine

sin(a+b) = sin a cos b + cos a sin b

We have a=20° b=40°

sin 20° cos 40° + cos 20° sin 40°

= sin(20°+40°)

= sin(60°)

= √3/2

Answer: √3/2

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Please explain how this digraph works.

dusya [7]

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 b = 146 - 4 b

Solve for b :

209 - 13 b = 146 - 4 b

209 - 146 = 13 b - 4 b

63 = 9 b

b = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

3 0

3 years ago

What is the determinant of this matrix:

vodka [1.7K]

Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(0)-8(7)

0 - 56

-56

6 0

2 years ago

Read 2 more answers

17x>−17.................

blondinia [14]

What? I’m confused what your asking.

5 0

3 years ago

Read 2 more answers

Which of the following are possible values of r? <img src="https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B2%20%7D%20%20%3D%20%20%5Cf

marshall27 [118]

Answer:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

Step-by-step explanation:

when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):

$r^2=\frac{3}{16} \\r=+/-\sqrt{\frac{3}{16}} \\r=+/-\frac{\sqrt{3} }{4}$

then you need to include these two possible solutions:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

5 0

3 years ago

Convert the equation to slope-intercept form: 2y = x + 8

nalin [4]

Answer:

y=(1/2)x+4

Step-by-step explanation:

Since slope-intercept form is y=mx+b, all we need to do is divide both sides by 2:

2y=x+8

y=1/2x+4

Thus, the equation would be y=1/2x+4

6 0

2 years ago