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lidiya [134]
3 years ago
13

} " alt=" \sqrt{ \frac{3}{16} } " align="absmiddle" class="latex-formula">
Rational or irrational?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0
Hello!
When you have a non-exact root (irrational number)

\sqrt{ \frac{3}{16} } \to  \frac{ \sqrt{3} }{ \sqrt{16} } \to  \boxed{\boxed{\frac{ \sqrt{3} }{4} }}\Longleftarrow(irrational\:number)\end{array}}\qquad\quad\checkmark
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14 35/7 equals 5 so 7x2 equals 14
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3 years ago
What is the y-intercept of y = -4/3x + 4?
Reika [66]
Hello : 
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7 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
Convert 200 centimeters into kilometers
Temka [501]

200 centimetes converted to kilometers = 0.002

5 0
3 years ago
Select the statement that best justifies the conclusion based on the given information.
CaHeK987 [17]

9514 1404 393

Answer:

  c. If a plane contains a line, it contains the points on the line.

Step-by-step explanation:

The only statement relating a point on a line to the plane containing the line is the one shown above.

_____

<em>Additional comment</em>

Identifying true statements is a reasonable strategy for many multiple-choice questions. Another strategy that can be employed is finding the one true statement that is <em>relevant to the question being asked</em>.

8 0
2 years ago
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