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Gelneren [198K]
3 years ago
13

Round 427963 to the nearest hundred​

Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

428,000

Step-by-step explanation:

You round the hundreds place

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An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
2 years ago
Find the diagonal of the rectangular solid with the given measures.
Vikki [24]

Answer:

<h2>7</h2><h2 />

Step-by-step explanation:

Diagonal = \sqrt{2^{2} +3^{2}+6^{2}  } =\sqrt{49} =7

6 0
3 years ago
The points (a,5) and (9,b) are on the circle x^2+ y^2= 125.
Aneli [31]

Answer:

a = 10

b = 6.633

Step-by-step explanation:

x²+ y²= 125.

In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.

<u>(a,5)</u>

x²+ y²= 125

a² + 5² = 125

a² + 25 = 125

a² = 125-25

a² =  100

a = √100 = 10

(9,b)

x²+ y²= 125

9² + b² = 125

b² 125 - 81

b² = 44

b = √44 = 6.633

5 0
3 years ago
Write a numerical expression that represents the number of increments it will take to reach -60 feet.
Marizza181 [45]

Answer:

Step-by-step explanation:

Write a numerical expression that represents the number of increments it will take to reach -60 feet

4 0
3 years ago
What is the density of the oak board
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We need more info or a pic
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2 years ago
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