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3 years ago

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet.

Mathematics

1 answer:

kipiarov [429]3 years ago

8 0

Answer:

If I'm correct than the answer should be 76.88 ft cubed

Step-by-step explanation:

5 1/8 would be 5.125

7 1/2 would be 7.5

Multiply 5.125 and 7.5 to get 38.44

Then multiply 38.44 by 2 to get the volume of 76.88 ft^3

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

3 years ago

Read 2 more answers

The function f(x) = (x - 4)(x - 2) is shown.

mash [69]

Answer:

My answer

Step-by-step explanation:

The range of the function is :

all real numbers less than or equal to - 1

7 0

4 years ago

a line has a slope of 2 and passes through the point of 3,9. wat is the equation of the line in slope intercept form

7nadin3 [17]

The equation for a line that passes through the point of (3, 9) and has a slope of 2 in slope intercept form is y=2x+3

6 0

3 years ago

Bonnie’s Baskets purchases $4,000 worth of office equipment on account. This causes A. Cash and Capital to decrease. B. Office E

Anarel [89]

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3 0

3 years ago

Here is a system of equations Y= 2x Y= -1/2x + 5 Determine whether (2,4) is a solution to this system Use Algebra to show whethe

gregori [183]

Answer: (2,4) is a solution to this system

Step-by-step explanation:

The given system of equations is expressed as

y = 2x - - - - - - - - - - - 1

y = -1/2x + 5 - - - - - - - - - 2

The first step is to equate equation 1 to equation 2. It becomes

2x = - 1/2x + 5

The next step is to add - 1/2x to the left hand side and the right hand side of the equation. It becomes

2x + x/2 = - x/2 + x/2 + 5

(4x + 2)/2 = 5

The next step is to multiply the left hand side and the right hand side of the equation by 2. It becomes

(4x + 2)/2 × 2= 5 × 2

4x + 2 = 10

Subtracting 2 from the left hand side and the right hand side of the equation. It becomes

4x + 2 - 2 = 10 - 2

4x = 8

Dividing the left hand side and the right hand side of the equation by 4, It becomes

4x/4 = 8/4

x = 8/4 = 2

Substituting x = 2 into equation 1, it becomes

y = 2 × 2 = 4

6 0

3 years ago