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Ne4ueva [31]
2 years ago
15

A plane intersects a sphere with a volume of about 44.6 cubic meters through the center of the sphere. What is the area of the c

ross section to the
nearest tenth?
Mathematics
1 answer:
san4es73 [151]2 years ago
5 0
From the above definition, we can say that the cross-section, as a result of the plane intersecting the sphere through its centre, will be a circle with the radius "r" same as that of the given sphere. Thus, the area of the cross section is 15.2 m²
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HELP! DUE AT 5 PM!! 10 BRAINLIST!<br><br> 3x -15x - 30 &gt; 54
ryzh [129]

Answer:x<-7

Step-by-step explanation:

3x -15x - 30 > 54

-12x-30>54

-12x<54+30    

I moved 30 from left side to right which becomes positive and > becomes <

-12x<84

-12x/-12<84/-12           I used my calculator to do this

x<-7

7 0
3 years ago
| x | &lt; 2 <br><br> solve the inequality and then graph the solution
anzhelika [568]

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

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2 years ago
Plot the ordered paired (4,-5) state which quadrant or on which axis the point lies
Rudiy27

Answer:

The point is in the 4th quadrant.

Explanation:

Given the ordered pair(4, -5), we have that x = 4 and y = -5. Plotting this point, we'll have;

Note that quadrants are labelled in an anti-clockwise direction with the top right portion of the graph as the 1st quadrant. Looking at the plotted point, we can see that it i in the 4th quadrant.

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Planters is making a new mixture combining Peanuts and Cashews. Cashews cost $7 a pound
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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

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  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

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Then r is ...

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The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
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