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eimsori [14]
3 years ago
11

Simplify

le" class="latex-formula">
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

i3 \sqrt{8}

Step-by-step explanation:

\sqrt{ - 72}  \\   \sqrt{ - 1}   \times   \sqrt{72}  \\  \sqrt{ - 1}   \times   \sqrt{9}  \times  \sqrt{8}  \\ i3 \sqrt{8}

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Sum and difference tan(135+30)
Mumz [18]
\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\sin y\cos x}{\cos x\cos y-\sin x\sin y}=\dfrac{\tan x+\tan y}{1-\tan x\tan y}

So,

\tan(135^\circ+30^\circ)=\dfrac{\tan135^\circ+\tan30^\circ}{1-\tan135^\circ\tan30^\circ}

You should know that \tan135^\circ=-1 and \tan30^\circ=\dfrac1{\sqrt3}

Putting everything together,

\tan(135^\circ+30^\circ)=\dfrac{-1+\dfrac1{\sqrt3}}{1-(-1)\left(\dfrac1{\sqrt3}\right)}=\dfrac{1-\sqrt3}{\sqrt3+1}=\sqrt3-2
7 0
4 years ago
The radius of a circular oil slick expands at a rate of 2 m/min.
zhuklara [117]
As we knw that the dr/dt = 2
 And  The area of the circular slick is given by formul
 A = (pi)r^2.
Now lets take derivative: <span>dA/dt=2πrdr/dt
As we knw that radius is 25
so</span><span>dA/dt=2π(25)(2)=100π
which is equal to
=314.16 per minute this is how area is increasing
now for part b
</span><span> t = 4, the radius will have increased to 8 m.
   now we will put the values in formula dr/dt
</span>so it will be.dA/dt=2π(8)(2)
=32π
=100.53 is the answer
hope it helps
6 0
3 years ago
I am product 30. Two of my factors are 2 and 3. What are my other factors
spayn [35]

Answer:

Step-by-step explanation:

the answer is 5

since 2 × 3 = 6

and the product is 30

so to get 30 , we need to multiply 6 by 5

hope this helps

plz mark it as brainliest!!!!!

3 0
3 years ago
Read 2 more answers
In 2015, the population of a small town was 8,000. The population is increasing at a rate of 1.8% per year. What is the monthly
ivolga24 [154]

Answer:

Step-by-step explanation:

y= a*b x (a is initial value b= growth rate)

y=8000(-1)^1 x= 1.018^ 1* 1.8

x=0.1527= time* 12

f(x)=x. f ( x )= x. = 0.1527 * 12

or we can square so that x^2=1.8 and x= 1.34164 note this can only be used for the first 5 decimal place.

This shows the exponential growth we expand and introduce y=8000 (-1)^12 to find one year.

one year  y-1^ 12 this represents 144 the 1.8% of the y=144 the starting point of 1/12 on axis

f(x)=2x. f (x )= 2x add y (1)^1 would sh9ow year 2 at athe same rate

6 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
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