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Katarina [22]
3 years ago
8

Which of the following is most likely the next step in the series

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

C.

Step-by-step explanation:

The pattern is the amount of sides each shape has.

Triangle - 3

Rectangle - 4

Pentagon - 5

Logically, the next shape would be a hexagon, a shape with 6 sides.

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A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write
sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0
3 years ago
Please help! Area of part of a circle!!!
Helga [31]

The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².

The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines

b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°)   ⇒   b = 96√3 cm

Call b the base of this triangle.

The vertex angle is 120°, so the other two angles have measure θ such that

120° + 2θ = 180°

since the interior angles of any triangle sum to 180°. Solve for θ :

2θ = 60°

θ = 30°

Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find

tan(30°) = h / (b/2)   ⇒   h = 48 cm

Then the area of the triangle is

1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²

and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

3072π cm² - 2304√3 cm² ≈ 5660.3 cm²

7 0
2 years ago
Write an expression for this phrase.<br> 2. A third of a number n
Leona [35]
A third of a number n 

= \frac{1}{3} * n =  \frac{1}{3} n =  \frac{n}{3}
5 0
3 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 8
BartSMP [9]

1st Side: 8

2nd Side: 2x - 1

3rd Side: x

(8) + (2x - 1) > x            (2x - 1) + x > 8                        (x) + (8) > 2x - 1

       2x + 7 > x                     3x - 1 > 8                                8  > x - 1

            2x > -7                         3x > 9                                9  > x

             x > -3.5 (disregard)       x > 3                                 x < 9

3rd Side: x  ⇒ (3 < x < 9)

2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1   ⇒   5 < x < 17

Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17


6 0
3 years ago
What is the name of segment BD ?!
Alenkasestr [34]

Answer:

diameter

Step-by-step explanation:

BD is the diameter of the circle.

4 0
3 years ago
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