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4 years ago

Please answer this correctly without making mistakes

Mathematics

1 answer:

fgiga [73]4 years ago

8 0

Answer:

47.55 miles

Step-by-step explanation:

So for this problem you would just add the distance between the art store and the bank to the distance from the bank to the office supply store, which is 42 miles. Than you would use the Pythagorean Theorem so you would do $42^{2} +22.3^{2}$ and that should equal the square of our answers. $42^{2}$ is 1764 and $22.3^{2}$ is 497.29 and when you add them together you get 2,261.29. Now that we know the square of our answer we will just take the square root of it which is 47.55 miles and that is our final answer

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D’Angelo’s Pizza is planning to produce small square pizzas. It will cost them $2.00 to make each pizza, and the company will se

stealth61 [152]

Answer:

Gross profit formula= 3x

x= number of units sold

Step-by-step explanation:

Giving the following information:

Unitary variable cost= $2

Selling price per unit= $5

To calculate the profit earned, we need to use the unitary contribution margin formula. The contribution margin is a product's price minus all associated variable costs (sales- variable costs), resulting in the incremental profit earned for each unit sold.

Unitary contribution margin= 5 - 2 = 3

Now, the profit formula:

Gross profit formula= number of units*unitary contribution margin

Gross profit formula= 3x

x= number of units sold

5 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

Somebody please help me

WITCHER [35]

Step-by-step explanation:

x - 1 = - 3x - 14

Bringing like terms on one side

x + 3x = -14 + 1

4x = - 13

x = - 13/4

5 0

3 years ago

What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?

jeyben [28]

Area of sector is 17.584 meters

Solution:

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of 56 degrees is the fraction $\frac{56}{360}$ of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction $\frac{56}{360}$ of the circle

The area of the sector will therefore also be $\frac{56}{360}$ of the area

$\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584$

Thus area of sector is 17.584 meters

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3 years ago

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vladimir2022 [97]

Answer:

68$ Is your answer

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers