A triangle has side lengths 1.5 inches, 2 inches,

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:

Area:

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

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

Cost:

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 $L^2$ + 10HL = 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

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

rewona [7]

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

$y=$ $\frac{5}{7} x + 5$ is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

$30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y$

so the equation would be $y=$ $\frac{5}{7} x + 5$

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

$y=\frac{-7}{5} x+79$ is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

$30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y$

so the equation would be $y=\frac{-7}{5} x+79$

6 0

2 years ago

How can I use models to help me divide??

Ivan

You can use models to help you divide by making the number of models as your divisor. For example let's say I am dividing 8 ÷ 2. So you would make 8 circles (doesn't have to be circle it can be whatever like squares) and then make groups of 2 until you run out of circles. Then how many groups there are is your answer. 8÷2=4. Hope I helped!

4 0

3 years ago

Find the value of the variable.

Zielflug [23.3K]

Answer:

x = 8, y = $8\sqrt{2}$