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3 years ago

Which Roman numeral is equivalent to the number below?

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

I = 1

II = 1 + 1 = 2

V = 5

VI = 5 + 1 = 6

IV = 5 - 1 = 4

X = 10

A. XVIII = 10 + 5 + 1 + 1 + 1 = 18

B. VII = 5 + 1 + 1 = 7

C. XXVII = 10 + 10 + 5 + 1 + 1 = 27

D. XVII = 10 + 5 + 1 + 1 = 17

Answer: D. XVII

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Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

$(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36$

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Hence , this is the required solution .

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2 years ago

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D. Z ~ N
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3 years ago

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In order to prove this, you simply plug in the number 2 everywhere you see X:

4^(2) = 8(2).

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3 years ago

139 students choose to attend one of three after school activities: football, tennis or running.

attashe74 [19]

Answer: 29/139

Explanation:

Total student: 139 (66 boys/73 girls)

Football: 56 student (28 boy/28 girl)

Tennis: 54 student (27 boy/ 27 girl)

Running: 29 student (18 girls/11 boys)

The probability that a student chose running is 29/139

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2 years ago