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zhannawk [14.2K]
3 years ago
7

What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

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A point K is on the perpendicular bisector of a segment with endpoints at H and J. What must be true about point K? It is equidi
kykrilka [37]

Answer:

K is equidistant from H and J.

Step-by-step explanation:

Given that the point K which is on the perpendicular bisector of the line segment having endpoints at H and J.

The given situation can be represented as the diagram as attached in the answer area.

Referring to the \triangle HOK, \triangle JOK:

\angle HOK = \angle JOK=90^\circ (As it is the perpendicular bisector)

OH = OJ (As it is the perpendicular bisector)

Also, the side OK is the common side.

Therefore by S-A-S congruence, \triangle HKO\cong \triangle JKO

As per the properties of congruent triangles:

Side HK = Side JK

HK and JK are nothing but the distance of the point K from the end points H and J which are proved to be equal to each other.

Therefore, we can conclude that:

K is equidistant from H and J.

5 0
3 years ago
What number do these base ten blocks show
nasty-shy [4]
70 should be correct
5 0
3 years ago
Given the two equations:
9966 [12]

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

       -2x = -1 --->  x = -1/-2    =  1/2

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       

6 0
3 years ago
I don’t get this so please help me with the answer!!
kicyunya [14]

Answer:

Yes, it does represent a proportional relationship.

You can see that for every given value of x, the corresponding value of y is twice as much.  That means that the first answer is correct; the values are proportional, and the ratio is 2.

6 0
3 years ago
Please help me I need help with my test review I can’t figure out m<1 and m<2
aksik [14]

Answer:

m1=12 and m2=168

Step-by-step explanation:

m1 + m2 = 180 \: (straight \: angle) \\ then \\ x - 12 + 7x = 180 \\ 8x - 12 = 180 \\ 8x = 180  +  12 = 192 \\ x = 192\div 8 \\ x = 24\\ hence \\ m1 = 24 - 12 = 12 \\ m2 = 7 \times 24 = 168.

6 0
4 years ago
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