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3 years ago

Convert -36° from degrees to radians

Mathematics

2 answers:

balandron [24]3 years ago

6 0

Answer:

-0.6283

Step-by-step explanation:

-36° × π/180 = -0.6283rad

aswer

natulia [17]3 years ago

5 0

Answer:

-36π/180 or -.6283

Step-by-step explanation:

To convert from degrees to radians you multiply it by π/180

So you have -36π/180 which gets you around -.6283

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

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3 years ago

Y = x ^3 - 5x² +16x-80

Leokris [45]

Answer:

(x-5)(x^2+16)

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3 years ago

A cube has a volume of 216cm³ what is the side length of the cube

ludmilkaskok [199]

Answer:

The side length of the cube is 6 cm

Step-by-step explanation:

The volume of a cube is given by

V = s^3

We know the volume is 216

216 = s^3

Take the cube root of each side

216 ^ (1/3) = s^ (1/3)

6 = s

The side length of the cube is 6 cm

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AnnyKZ [126]

Answer:

8000000

Step-by-step explanation:

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sukhopar [10]

3/5 of 1/6 is written as

3/5 x 1/6

Multiply both the numerator and denominators together:

3x1 / 5*6 = 3/30, reduces to 1/10.

The answer is 1/10.

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3 years ago

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