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12345 [234]
3 years ago
6

You are under contract to design a storage building with a square base and a volume of 12000 cubic feet. the cost of materials i

s $4 per square foot for the floor, $18 per square foot for the walls and $6 per square foot for the roof. find the width of the square base that minimizes the cost of materials.
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
<span>You are under contract to design a storage building with a square base and a volume of 12000 cubic feet. the cost of materials is $4 per square foot for the floor, $18 per square foot for the walls and $6 per square foot for the roof. find the width of the square base that minimizes the cost of materials. XD


</span>
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I Need Help Pwease :-&gt;<br> ******************************
MissTica

Answer:

Area: 135 ft^2

Perimeter: 50 ft

Step-by-step explanation:

area:

take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over

subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2

A = 54/2

A = 27

add 27 + 108 to get the total area

135

perimeter:

18 + 9 + 11 + 12 = 50

5 0
2 years ago
Read 2 more answers
Suppose xy=−4 and dy/dt=−3. Find dx/dt when x=−1.
user100 [1]
When x=-1: \quad (-1)y=-4\qquad\to\qquad y=4\)

Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?

x'y+xy'=0

The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.

From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4

and solve for x'.

Hope that helps!
4 0
3 years ago
The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube?
Tatiana [17]

Answer:

the cubic feet will be 1000

6 0
3 years ago
Can you do LCM in division method of 550,750,900 plzz​
mr_godi [17]

2 | <u>5</u><u>5</u><u>0</u><u>,</u><u>7</u><u>5</u><u>0</u><u>,</u><u>9</u><u>0</u><u>0</u>

2 | <u>2</u><u>7</u><u>5</u><u>,</u><u>3</u><u>7</u><u>5</u><u>,</u><u>4</u><u>5</u><u>0</u>

3 |<u> </u><u>2</u><u>7</u><u>5</u><u>,</u><u>3</u><u>7</u><u>5</u><u>,</u><u>2</u><u>2</u><u>5</u>

<u>3</u><u> </u>| <u>2</u><u>7</u><u>5</u><u>,</u><u>1</u><u>2</u><u>5</u><u>,</u><u>7</u><u>5</u>

5 | <u>2</u><u>7</u><u>5</u><u>,</u><u>1</u><u>2</u><u>5</u><u>,</u><u>2</u><u>5</u>

5 | <u>55,25,5</u>

5 | <u>1</u><u>1</u><u>,</u><u>5</u><u>,</u><u>5</u>

11 | <u>1</u><u>1</u><u>,</u><u>1</u><u>,</u><u>1</u>

LCM:-2×2×3×3×5×5×5×11=49500

7 0
2 years ago
Need help how do I do this, start it, and the steps please
Harman [31]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first write down the equation we are going to solve.

( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6

To begin with, we will expand the brackets => [ ]

( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6

Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.

( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12

Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).

( - 9 / 3 )h = - 18

- 3h = - 18

h = - 18 / - 3

h = 18 / 3

h = 6

FINAL ANSWER:

Therefore, the answer is:

h = 6

Hope this helps! :)
Have a lovely day! <3
4 0
3 years ago
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