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2 years ago

Members of video game platform X-

Mathematics

1 answer:

Natalija [7]2 years ago

3 0

Answer:

When number of games downloaded is at least 3

Step-by-step explanation:

Let x = number of games downloaded

Members = 50 + 2x

Non members = 20x

50 + 2x = 20x

50 = 20x - 2x

50 = 18x

x = 50/18

x = 2.78

At x = 2.78, both members and non members are paying the same amount

For members to make profits, the value of x must be greater than 2.78

Approximately x = 3

Check:

Members = 50 + 2x

= 50 + 2(3)

= 50 + 6

= 56

Non members = 20x

= 20(3)

= 60

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Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.

avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>

area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 = 1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

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1 year ago

I need help! I can't figure out how to do this! So, can you help me?

Tanzania [10]

Answer:

5 - x=90°

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2 years ago

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Please help: Find the volume of the solid. Use 3.14 for π.

kenny6666 [7]

Answer:

3391.2

Step-by-step explanation:

The formula for the volume of a cylinder is

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Plugging the values in we get

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2 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Lera25 [3.4K]

Answer:

The first option

Step-by-step explaination:

$9 {xy}^{3} - 4 {y}^{4} - 10 {x}^{2} {y}^{2} + {x}^{3} y + {3x}^{4} + {2x}^{2} {y}^{2} - 9 {y}^{4}$

$(- 4 {y}^{4} - 9 {y}^{4} ) + ( - 10 {x}^{2} {y}^{2} + {2x}^{2} {y}^{2}) + 9 {xy}^{3}+ {x}^{3} y + {3x}^{4}$

$- 13 {y}^{4} - 8 {x}^{2} {y}^{2} + 9 {xy}^{3} + x {}^{3} y + 3x {}^{4}$

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2 years ago

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line de

vodomira [7]

Answer:

x = $25.8^{o}$ and y = $51.4^{o}$

Step-by-step explanation:

Known that he sum of angles on a straight line is $180^{o}$ . From the diagram;

2y + x + y = $180^{o}$

x + 3y = $180^{o}$ ................ 1

Also,

2x + x + 2y = $180^{o}$

3x + 2y = $180^{o}$ .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = $180^{o}$ ............. 4

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y = $\frac{360}{7}$

y = $51.4^{o}$

substitute the value of y in equation 1,

x + 3y = $180^{o}$

x + 3(51.4) = $180^{o}$

x + 154.2 = $180^{o}$

x = $180^{o}$ - 154.2

x = $25.8^{o}$

Thus, x = $25.8^{o}$ and y = $51.4^{o}$

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2 years ago