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nata0808 [166]
3 years ago
12

Whoever answers this correctly gets brainliest

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer: 11. Is A

Step-by-step explanation:

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Given cos = -2/5 a in quadrant III and cos b = 1/4, b in quadrant I find
BigorU [14]

I guess you mean \cos a=-\dfrac25. Since a is in quadrant III, we expect \sin a. Then

\sin a=-\sqrt{1-\cos^2a}=-\dfrac{\sqrt{21}}5

Since b is in quadrant I, we expect \sin b>0, so that

\sin b=\sqrt{1-\cos^2b}=\dfrac{\sqrt{15}}4

Now,

\sin(a+b)=\sin a\cos b+\cos a\sin b=-\dfrac{2\sqrt{15}+\sqrt{21}}{20}

\cos(a+b)=\cos a\cos b-\sin a\sin b=\dfrac{3\sqrt{35}-2}{20}

and

\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=-\dfrac{2\sqrt{15}+\sqrt{21}}{3\sqrt{35}-2}

5 0
4 years ago
the equation of a line is y = 3. write an equation in slope-intercept form of a line parallel to y = 3 that passes through (0, 6
Pavel [41]
Parallel lines have equal gradients;
Gradient of line 2 is thus 0
y=c
Replacing value of y=6 gives
c=6
Equation of the line is thus y=6
6 0
3 years ago
Sheila eats 3/4 of a bag of carrots each week, how many bags of baby carrots does she eat in 6 weeks? Write in simplest form
Alla [95]
3/4 x 6 = 18/4 = 4 1/2 

she eats 4 1/2 bags of carrots in 6 weeks
8 0
3 years ago
Read 2 more answers
To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 48 numbers (1 through 48). The order in w
sashaice [31]

Answer:

See below.

Step-by-step explanation:

This is the number of permutations of 7 from 48.

= 48! / (48-7)!

= 48! / 41!

=  3.71090523 * 10^11.

3 0
3 years ago
I need help pls ASAP !!<br> (Extra points)<br><br> &amp; explanation
sergey [27]

Answer:

x = 60

Step-by-step explanation:

Total degrees of all interior angles (the three angles inside the triangle) is always 180°

So u use 180/3 = 60 which is x

4 0
3 years ago
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