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3 years ago

How do u simplify the square root of 175

1 answer:

4 0

You could use a calculator or the best way to know is find a perfect square that multiplies another number to make that number. for example, square root of 175 (√175) = √25 times √7. then take the square root of the perfect square and multiply it by the square root. (√25 = 5) so the answer is 5 times √7. or 5√7

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Make the b the subject of b2 - 4ac = x

devlian [24]

Solve for b.
b^2= x+4ac
So b=sq root of x+4ac

7 0

3 years ago

Help pls , will give brainliest!

m_a_m_a [10]

<h3>Answer: 6</h3>

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Work Shown:

1 liter = 1000 mL

3 liters = 3000 mL

I multiplied both sides by 3.

Divide that result over 500 to get 3000/500 = 6

So she'll need to buy 6 cartons.

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You could also solve like this:

(1 carton)/(500 mL) = (x cartons)/(3000 mL)

1/500 = x/3000

1*3000 = 500*x ... cross multiply

3000 = 500x

500x = 3000

x = 3000/500 .... dividing both sides by 500

x = 6

6 0

3 years ago

Find the angle [OA] makes with the positive x-axis if the x-coordinate of the point A on the unit circle is 0.222

EastWind [94]

By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

<h3>How to find an angle in an unit circle</h3>

<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:

$\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}$

$\tan \theta = \frac{\sqrt{1-0.222^{2}}}{0.222}$

tan θ ≈ 77.173°

By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

To learn more on unit circles: brainly.com/question/12100731

#SPJ1

4 0

2 years ago

E^0.5ln9=? no calculator

Neko [114]

$e^{0.5\ln 9}=e^\ln{9^{0.5}}=9^{0.5}= \sqrt{9} =3$

Use the property of logs: a ln b = ln (b^a)
Also e and log are inverses, so the cancel each other

5 0

3 years ago

Help integrate: cot^3(x)

barxatty [35]

$\displaystyle\int\cot^3x\,\mathrm dx=\int\cot^2x\cot x\,\mathrm dx=\int(\csc^2x-1)\cot x\,\mathrm dx$
$\displaystyle=\int\csc^2x\cot x\,\mathrm dx-\int\cot x\,\mathrm dx$

For the first integral, substitute $y=\cot x$ so that $\mathrm dy=-\csc^2x\,\mathrm dx$ . This leaves you with two standard integrals,

$=\displaystyle-\int y\,\mathrm dy-\int\cot x\,\mathrm dx$
$=-\dfrac12y^2+\ln|\cot x+\csc x|+C$
$=-\dfrac12\cot^2x+\ln|\cot x+\csc x|+C$

7 0

3 years ago