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2 years ago

Write in terms of i . Simplify your answer as much as possible. Square root -27

Mathematics

1 answer:

Nat2105 [25]2 years ago

6 0

Answer:

3i $\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ and $\sqrt{-1}$ = i

Given

$\sqrt{-27}$

= $\sqrt{9(3)(-1)}$

= $\sqrt{9}$ × $\sqrt{3}$ × $\sqrt{-1}$

= 3i $\sqrt{3}$

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What is the formula for the area of a triangle?

SashulF [63]

The formula to find the area of a triangle is :

1/2 base*height

For instance:

base=4 cm

height=5cm

area of traingle=1/2*b*h

 =1/2*4*5

 =10cm^2

Hope it helps...

Good luck on your assignment

6 0

2 years ago

If I have 10 dollars and I win 6 out of 10 and lose 4 out of 10 and bet 1$ each trade, how much should there be left after 10 tr

ololo11 [35]

you will be left with 12 dollars.

Step-by-step explanation:

Given:

The actual money you have = 10 dollars.

The bet amount for each trade= 1$

For each win, you get extra +1 dollar.

Step 1:

So, you won 6 trades= (6*1)= 6$

Step 2:

For each lose, you loss -1 dollar.

Step 3:

So, you lose 4 trades= (4)*(-1)= -4$

Step 4:

After 10 trades, the money you earned is= 6$ -4$= 2 dollars.

Finally, the total money left after 10 trades is= actual money + earned money

= $10 + $2= 12 dollars.

7 0

2 years ago

the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?

dimulka [17.4K]

Answer:

Volume of cylindrical tank is 2122.64 cubed feet.

Step-by-step explanation:

It is given that:

Radius of cylindrical tank = 6.5 feet

Height of tank = 16 feet

Volume of tank = πr²h

Putting the values in the formula

Volume = 3.24 * (6.5)² * 16

Volume = 3.14 * 42.45 * 16

Volume = 2122.64 cubed feet.

Therefore,

Volume of cylindrical tank is 2122.64 cubed feet.

4 0

2 years ago

Which of the following best explains why

Dima020 [189]

We can see values of angles in degrees first

$\frac{5\pi}{6} = \frac{5 \times 180}{6}= \frac{900}{6}$ = 150°

Similarly

$\frac{5\pi}{3} = \frac{5 \times 180}{3}= \frac{900}{3}$ = 300°

Now reference angle means positive acute angle they will have

As we can see in attachment 150° lies in second quadrant so its reference angle will be 180°-150° = 30° from x axis line as shown.

Where as angle 300° lies in fourth quadrant so its reference angle will be 360° - 300° = 60° from x axis as shown. So clearly both reference angles are different . So 1st choice " angles donot have same reference angle" best explains it

Choice (2) and (3) are incorrect as tan is positive only in first and third quadrants and angle 300° is in fourth quadrant.

since angle 150° is in second quadrant and 300° is in fourth quadrant so both will have same negative sign so choice (4) is not correct.

So final ansewr is choice (1) "the angles donot have same reference angle"

8 0

3 years ago

Plz answer !!! I need your help

just olya [345]

Anything what i can do for you?

5 0

3 years ago