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2 years ago

A closed rectangular box has volume 38 cm ^3. What are the lengths of the edges giving the minimum surface area

Mathematics

1 answer:

Margaret [11]2 years ago

8 0

Answer:

3.361 3.361 3.361 cm

Step-by-step explanation:

Minimum surface are will be a cube

LWH = 38

L = cubrt (38) = 3.361 side length cm

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If n is the square root of a positive integer, and is divisible by both 2 and 6, what is the least possible value of n?

Paraphin [41]

6 is the square root of 36 and is divisible by 2 and 6.

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3 years ago

What is 9/16 closest to 0,1/2, or 1 and why?

Lady_Fox [76]

1/2, because 9/16 is closer to 8/16 which reduces to 1/2. It is not as close to 0/16 (0) or 16/16 (1)

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3 years ago

Use the given information to answer the following questions. center (3, -9, 3), radius 5 (a) Find an equation of the sphere with

lianna [129]

Answer: The equation of the sphere with the center and radius

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

Step-by-step explanation:

a) The equation of the sphere having center (h,k,l) and radius r is

$(x-h)^{2} +(y-k)^2+(z-l)^2 = r^2$

Given center of the sphere (3, -9, 3) and radius 5

$(x-3)^{2}+(y+9)^2+(z-3)^2 = 5^2$

on simplification , we get solution

$x^{2} -6 x+9+y^{2} +18 y+81+z^{2}-6 z+9=25$

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

Final answer :-

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

$y^{2} +z^{2}+18 y-6 z+74=0$

7 0

3 years ago

I need help plzzzzzzzz

jok3333 [9.3K]

1minutethat the answer

7 0

3 years ago

2. The robot was initially placed at position (6,9), and at = 2 seconds, its position is (10,15).

qaws [65]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 6 &,& 9~) 
% (c,d)
&&(~ 10 &,& 15~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(10-6)^2+(15-9)^2}\implies d=\sqrt{4^2+6^2}\implies d=\sqrt{52}
\\\\\\
d\approx 7.2$

what's its speed? well, it traveled √(52) in 2 seconds, so is simply √(52)/2, which is about 3.6 units per second.

4 0

3 years ago