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2 years ago

Area of the shaded segment=

Mathematics

1 answer:

garik1379 [7]2 years ago

5 0

The area of the entire sector is $(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi$

The area of the triangle OAB is $\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}$ .

So, the area of the segment is $\boxed{6\pi-9\sqrt{3}}$

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Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business sta

emmasim [6.3K]

Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business started. You also calculate that each luxury bean bag chair will cost you $50 to produce

1. write an equation for the total cost to manufacture n luxury bean bag chairs.

you decide to sell the luxury bean bag chairs for 62.50 each (revenue is the total money coming in from sales.)

2. write an equation for the total revenue made from selling n luxury bean bag chairs.

3. solve the system of equations algebraically

Answer:

Step-by-step explanation:

From the given question;

Let assume that c1 to be the cost and n to be the number of bean bags produced.

amount used to start the business = $4000

thus;

The equation for the total cost to manufacture n luxury bean bag chairs is:

c₁ = 50 n + 4000

Let c₂ be the total revenue made from selling ; then since 62.50 revenue is generated from each bag n sold

therefore ;

c₂ = 62.50 n

c₁ = c₂

50 n + 4000 = 62.50 n

4000 = 62.50 n - 50 n

4000 = 12.50 n

n = 4000/12.50

n = 320

We can infer that in order to start making profit from the amount used tot start the business, you must have sold 320 bean bags.

8 0

3 years ago

When a parent backstabs you to someone and you tell them not to and they still do that that means they don’t like having you as

Arada [10]

Answer:

... are you ok-

Step-by-step explanation:

6 0

3 years ago

3. You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At t

AfilCa [17]

Answer:

I would say 15 batteries because you were gonna need five batteries but then you extend it to nine days.

Step-by-step explanation:

3 0

3 years ago

Use two different methods to find an explain the formula for the area of a trapezoid that has parallel sides of length a and B a

evablogger [386]

Answer:

Formula of Trapezoid:

A = (a + b) × h / 2

The formula can be derived in different ways. for now, we have discussed two ways:

1. By using the formula of a triangle

2. By dividing into different sections

Step-by-step explanation:

1. By using the formula of a triangle

One of the ways to explain a formula for an area of a trapezoid using a formula for a triangle can be as follows.

Assume a trapezoid PQRS with lower base SR and upper base PQ (they are parallel) and sides PS and QR.

The image is attached below.

Connect vertices P and R with a diagonal.

Consider triangle ΔPQR as having a base PQ and an altitude from vertex R down to point M on base PQ (RM⊥PQ).

Its area is

S1= $\frac{1}{2} *PQ*RM$

Consider triangle ΔPRS as having a base SR and an altitude from vertex P up to point N on-base SR (PN⊥SR).

Its area is

S2= $\frac{1}{2} *SR*PN$

Altitudes RM and PN are equal and constitute the distance between two parallel bases PQ and SR.

They both are equal to the altitude of the trapezoid h.

Therefore, we can represent areas of our two triangles as

S1= $\frac{1}{2}*PQ*h$

S2= $\frac{1}{2}*SR*h$

Adding them together, we get the area of the whole trapezoid:

S=S1+S2= $\frac{1}{2} (PQ+SR)h,$

which is usually represented in words as "half-sum of the bases times the altitude".

2. By dividing into different sections

Trapezoid PQRS is shown below, with PQ parallel to RS.

Figure 1 - Trapezoid PQRS with PQ parallel to RS(image is attached below.)

We are going to derive the area of a trapezoid by dividing it into different sections.

If we drop another line from Q, then we will have two altitudes namely PT and QU.

Figure 2 - Trapezoid PQRS divided into two triangles and a rectangle. (image is attached below.)

From Figure 2, it is clear that Area of PQRS = Area of PST + Area of PQUT + Area of QRU. We have learned that the area of a triangle is the product of its base and altitude divided by 2, and the area of a rectangle is the product of its length and width. Hence, we can easily compute the area of PQRS. It is clear that

=> $A_{PQRS} = (\frac{ah}{2}) + b_{1}h + \frac{ch}{2}$