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xxMikexx [17]
3 years ago
5

Using the distrubutive proberty an experstion equvalent to 45+72

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

solution:

45+72\\=(9\times 5)+(9\times 8)\\=9(5+8)\\=117

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Find the missing variable for a tralezoid. A=68^2 b=<br> h=4 B=21
Bezzdna [24]
The answer is:  " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;

or:  A = (1/2) * (b + B) * h.

We are missing the value for "b" one of the base lengths.

However, since:  A = 68² (given) ;  B (the other base length) = 21;  and the perpendicular height, "h" = 4 ;  we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ;  ↔  68² = (1/2) * (b + 21) * 4 ;

 ↔  <span>4624 = 2 (b + 21) = 2b + 42 ;

</span> ↔  <span>4624 = 2b + 42 ; 

</span> ↔  <span>2b + 42 = 4624 ;

Subtract "42" from each side of the equation:

     2b + 42 - 42 = 4624 - 42 ;

to get:   2b = 4582 ;
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    Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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             2b / 2 = 4582 / 2 ;
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3 years ago
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2 years ago
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Answer:

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

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For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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