The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 5 : 3. What are the dimensions of the rectangle?

Mathematics

1 answer:

fomenos3 years ago

6 0

The answer is 30 to 18 feet

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find a set of parametric equations of the line the line pases through the point (2,3,4) and is parallel to the xz-plane and the

joja [24]

Answer:

$x=2, y=3, z=4+t$

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

$u= (u_x, u_y, u_z)= (0,0,1)$

Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

$x= P_x + u_x t$

$y= P_y + u_y t$

$z= P_z + u_z t$

Where the point given $P=(2,3,4)= (P_x , P_y, P_z)$

And then since we have everything we can replace like this:

$x= P_x + u_x t 2+ 0*t = 2$

$y= P_y + u_y t= 3+ 0*t = 3$

$z= P_z + u_z t = 4+ 1t = 4+t$

$x=2, y=3, z=4+t$

6 0

3 years ago

I'm not sure about 38 - 53 please help! :)

Maru [420]

38. 6900 grams
39. 19600 grams
40. 27910 grams
41. 32840 grams
42. 610 grams
43. 970 grams
44. 3712 grams
45. 8937 grams
46. 37 grams
47. 69 grams
48. 1510 grams
49. 4700 grams
50. 150 grams
51. 15 grams
52. 15200 grams
53. 460

I'm sorry if these are wrong but I hope this could help.

5 0

3 years ago

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Solve the inequality 8(x + 1) > 7(x + 2)

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Answer:

7(2 - x)

Step-by-step explanation:

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