The area of a rectangle is equal to its length times its width. If the area of a rectangle

Someone help pleaseeee

Dahasolnce [82]

Answer: A x=1/4y^2

Step-by-step explanation:

Because to make sure on the graph is counterclockwise for the vertex for the starting point.

4 0

2 years ago

7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x

bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

$C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20$

Revenue:

The revenue is given by the following equation:

$R = 15x$

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

$\frac{4x}{3} + 20 = 15x$

$15x - \frac{4x}{3} = 20$

$\frac{45x}{3} - \frac{4x}{3} = 20$

Multiplying everything by 3

$45x - 4x = 60$

$41x = 60$

$x = \frac{60}{41} = 1,...$

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

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7 0

3 years ago

A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?

koban [17]

Answer:

1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

V = Bh = (108√3)(12) = 1296√3 . . . cubic units

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<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0

3 years ago

Choose the equation that represents a line that passes through points (-3,2) and (2,1)

yawa3891 [41]

Answer:

y = -0.2x + 1.4

Step-by-step explanation:

I graphed the points on the graph below. Then I found the slope of the line.

If this answer is correct, please make me Brainliest!

6 0

3 years ago

In a survey of 1,600 people who owned a certain type of car, 720 said they would buy

bazaltina [42]

The percentage of the people surveyed that were satisfied with the car is 45%.

<u>Given the following data:</u>

Total population = 1,600 people

Number of car owner = 720 people.

To determine the percentage of the people surveyed that were satisfied with the car:

<h3>How to solve for a percentage.</h3>

In this exercise, you're required to calculate the percentage of the total population in this survey that would by a particular type of car again because they were satisfied with it. Thus, we would solve for the percentage as follows;

$Percent = \frac{Satisfied\;persons}{Total\; population} \times 100$

Substituting the given parameters into the formula, we have;

$Percent = \frac{720}{1600} \times 100\\\\Percent = 0.45 \times 100$

Percent = 45%

Read more on percentage here: brainly.com/question/14432715

3 0

2 years ago