Simplify ( 16- sq root of 11) / -2

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

(16 - Sqrt(11))/(-2)
= -8 +Sqrt(11)/2

You might be interested in

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

4 years ago

PLEASE HELLP PLEASE!!!!! Create a problem that uses the commutative property to find the sum of at least 2 rational numbers. Sho

lyudmila [28]

<span>2+4 = 4+2
</span>
would be your answer

3 0

3 years ago

Read 2 more answers

Help me solve this test :)

lakkis [162]

Answer:

D: (5 * 3)^3

D: 125 x 27

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

ALL of these answers pleaaassseee!!

insens350 [35]

14) 51. You divide 100 by 60 and multiply the answer by 85%.
15) about 200 students loved music. You would round the 398 to 400 and the 52% to 50%, which is half.
16) They would cost the same because adding all of the discount together for the first computer would equal 30% which is the same amount as the second computer.

Hope this helped you!

3 0

3 years ago

24 centimeters to inches (to the nearest tenth)

Nikitich [7]

9.44882 now round to the nearest tenth

5 0

4 years ago