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Evgesh-ka [11]
2 years ago
10

A box without a top is to be made from a rectangular piece of cardboard, with dimensions 4 in. by 8 in., by cutting out square c

orners with side length x and folding up the sides.
Write an equation for the volume V of the box in terms of x.
Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.

Mathematics
1 answer:
Goryan [66]2 years ago
5 0

Step-by-step explanation:

the answer is in the three pics

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the width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,1
aniked [119]

Answer:

If width = 60 m, length = 195 m.

If width = 150 m, length = 465 m.

Step-by-step explanation:

The area of a rectangle is l * w or length times width.

So we can set an equation (letting w = width and x = length)

w = 1/3x - 5

Part 1: width = 60m:

60 = 1/3x - 5

65 = 1/3x

x = 195 m

Part 2: width = 150 m:

150 = 1/3x - 5

155 = 1/3x

x = 465 m

6 0
2 years ago
The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
Finish the following table for the given function with x as thr independent variable.
konstantin123 [22]
The answer is c.0.1,0.05.0.025.
We can find these by substituting the x values on the table given into the equation; h(x)=1/x.
5 0
3 years ago
Read 2 more answers
20 POINTS!!! Find the vertex of the quadratic function given below. f(x)=(x-4)(x+2)
irga5000 [103]

The vertex of  f ( x )  is at  x  =  − 8/ 2   =  − 4

3 0
3 years ago
The roots of the equation x2 - 14x + 48 = 0) are
MrRissso [65]

Answer:

{x}^{2}  - 14x + 48 = 0 \\  {x}^{2}  - 6x -8 x + 48 = 0 \\ x(x - 6) - 8(x - 6) = 0 \\ (x - 6)(x - 8) = 0 \\ \boxed{ x = 6\: and \: 8}

  • 4) <em><u>6 and 8</u></em> is the right answer.
5 0
2 years ago
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