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8_murik_8 [283]

3 years ago

8

Question 8

1 answer:

Ratling [72]3 years ago

6 0

I believe the answer is A

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

<u>Cost:</u>

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10<em>HL </em>= 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

3 0

3 years ago

I need help please?!!!!!!!!

Sunny_sXe [5.5K]

Step-by-step explanation:

add the like terms 5m + 6n + 8m + 2 = 13m + 6n +2

6 0

3 years ago

Read 2 more answers

Someone help pls :((((

jasenka [17]

9514 1404 393

Answer:

y +1 = -3(x -3)

Step-by-step explanation:

The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:

y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Using the given values, the equation is ...

y -(-1) = -3(x -3)

y +1 = -3(x -3)

7 0

3 years ago

A customer pay 18 for a DVD that originally cost 20. What is the percent decrease in the cost of the DVD

natima [27]

The discount is $2. 2/20 is 0.1 or 1/10 which as a percentage would be 10%. The discount of $2 is <u><em>10%</em></u> off.

8 0

3 years ago

If the function f(x) = x^2 has the domain of 0,1,4,9 what is its range?

zavuch27 [327]

The range for this function are 0,2,16,81

respectively

4 0

3 years ago

Read 2 more answers