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4 years ago

Which number is bigger: 22.5 or 215

Mathematics

2 answers:

marin [14]4 years ago

8 0

The correct answer is 215

svetlana [45]4 years ago

4 0

215. 22.5 has a decimal meaning that it is a whole number and then part of a whole number. 22.5 rounds to 23 and 23 is way smaller than 215.

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Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .

Hope this wasn't too confusing! I'll answer any questions.

8 0

3 years ago

Read 2 more answers

How do I find the symmetry

Novay_Z [31]

Symmetry is the same as the one side of the graph but it is fliped on the X-axis

3 0

3 years ago

Multiplying Polynomials//<br><br> Multiply- <br> 12x^4 (-5/6x^3y^2)

ElenaW [278]

$12 x^{4} * (- \frac{5}{6} x^{3} y^{2})$
Now multiple the coefficients and add the exponents with common bases
$12 * - \frac{5}{6} = -10 \\ x^{4} + x^{3} = x^{7}$
Now write your final expression
$-10 x^{7} y^{3}$
Hope I helped!

6 0

4 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle.

Mamont248 [21]

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

$Area=lw\\Area=6*9\\Area=54$

Then, find the area of the semicircle...

$Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3$

$Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1$

Now, add the two to get...

54+14.1=68.1

3 0

2 years ago

The equation of a line that goes through the points (0,0) and (300000,365)

olga_2 [115]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& 0~) 
% (c,d)
&&(~ 300000 &,& 365~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{365-0}{300000-0}\\\\\\ \cfrac{365}{300000}\implies \cfrac{73}{60000}$

$\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=\cfrac{73}{60000}(x-0)\implies y=\cfrac{73}{60000}x$

4 0

3 years ago