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svetlana [45]
3 years ago
14

What is the median value of the data set shown on the line plot?

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

6

Step-by-step explanation:

Hope this helps! have a great day!

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Solve for x, show all your work: <br> x3 = 10
Alex73 [517]
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The volume of a​ cone-shaped hole is 16 pi ft cubed . If the hole is 3 ft​ deep, what is the radius of the​ hole?
VashaNatasha [74]
V = 1/3 • π • radius cubed • height

If the volume is is 16π and the height is 3, then 16π = 1/3 • π • r cubed • 3

16π ÷ (1/3 • π • 3) = 16

radius squared = 16        √16 = 4, so radius = 4

You can also check: 1/3 • r cubed • 3 = 16    The only value left to multiply is π
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3 years ago
X<br> Find the value<br> of x. Show<br> 3<br> 10<br> your work.
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Step-by-step explanation:

<em>Hello</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>

<em>Let</em><em> </em><em>ABC</em><em> </em><em>be</em><em> </em><em>a Right angled triangle</em><em>, </em>

<em>where</em><em>,</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>and</em><em> </em><em>AC</em><em>=</em><em> </em><em>x</em>

<em>now</em><em>,</em>

<em>As</em><em> </em><em>the</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>Right angled triangle</em><em>, </em><em>taking</em><em> </em><em>angle C</em><em> </em><em>as</em><em>refrence</em><em> </em><em>angle</em><em>.</em><em> </em><em>we</em><em> </em><em>get</em><em>,</em>

<em> </em><em>h</em><em>=</em><em> </em><em>AC</em><em> </em><em>=</em><em> </em><em>x</em>

<em>p</em><em>=</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>b</em><em>=</em><em> </em><em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>now</em><em>,</em><em> </em><em>by</em><em> </em><em>Pythagoras</em><em> </em><em>relation we get</em><em>, </em>

<em>h =    \sqrt{ {p}^{2} +  {b}^{2}  }</em>

<em>or ,\: h =  \sqrt{ {3}^{2}  +  {10}^{2} }</em>

<em>by</em><em> </em><em>simplifying it we get</em><em>, </em>

<em>h</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>.</em><em>4</em><em>4</em><em>0</em><em>3</em><em>0</em>

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What is the polar form of -4+5i?
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z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- tan^{-1} (\frac{5}{4} )

Step-by-step explanation:

Given,

-4+5i is a complex number.

To find the polar form.

Formula

z=x+iy

r² = mod of (x²+y²)

θ = tan^{-1} (\frac{y}{x} )

So, the polar form will be z=r(cosθ+i sinθ)

Now,

r² =(-4)²+5² = 41

or, r = √41

θ =π- tan^{-1} (\frac{5}{4} ) [ since the point is in second quadrant]

Hence,

z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- tan^{-1} (\frac{5}{4} )

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4 years ago
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