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nalin [4]
2 years ago
14

Help ..........................................

Mathematics
1 answer:
Aleksandr [31]2 years ago
6 0
The correct answer is 2.5×10^2
Hope this helped :)
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Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
A jar contains five red marbles and three green marbles. A marble is drawn at random and not
Alex787 [66]
5+3=8
Every time you draw, its minus one from denominator

1st marble red: 5/8

2nd marble green: 3/7
5 0
3 years ago
Find the measure of a central angle of a regular polygon with 10 sides
Paraphin [41]

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

Thus, we substitute n for 10, and you get:

(10-2)180=1440

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

5 0
3 years ago
Find an equation of the line that satisfies the given conditions. through (9, 7); perpendicular to the line y = 5
cluponka [151]
The answer would defintley be 69 if you want the right answer.
5 0
3 years ago
Draw a box and whiskers plot of the numbers 7,4,7,5,5,3,7,6,7
wariber [46]

Answer

3,4,5,5,6,7,7,7,7

Step-by-step explanation:

5 0
2 years ago
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