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2 years ago

A pattern rule is square, triangle, circle, oval. What is the 50th shape?

Mathematics

1 answer:

Svetlanka [38]2 years ago

8 0

Patterns are used to represent sequence of numbers.

The shape at the 50th position is a triangle

The pattern rule is given as: square, triangle, circle, oval.

The number of shapes (n) is given as:

$n =4$

So, the 50th shape is calculated using the following absolute operator

$Shape = 50\%4$

i.e. divide 50 by 4, and take note of the remainder.

When 50 is divided by 4, the remainder is 2

So, we have:

$Shape =2$

This means that, the shape at the 50th position is the same shape at the 2nd position.

Hence, the shape is triangle

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The difference of twice a number and 2 is at most 22

Zarrin [17]

Nice fact I guess

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2 years ago

two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the

Usimov [2.4K]

Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank

boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time

boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet

The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates

(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0 quadratic formula yields x = 1000

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2 years ago

Geometric Probability

KiRa [710]

Answer:

Step-by-step explanation:

1) P= Area of Circle/ Area of large rectangle

Area of the circle = pi·r² = pi·2²=4 pi ft.²

Area of large rectangle= l·w -12·10 =120 ft.²

P = 4pi/120 rewrite 120 as 4·30

P= 4 pi/4*30 = pi/30 = 3.14/40 ≈ .1047 ≈10% (because .1047·100 =10.47≅10)

2) P = Area of smaller rectangle/ Area of large rectangle

Area of smaller rectangle = l·w = 2·4 =8 ft.²

Area of large rectangle=l·w = 12·10=120 ft²

P= 8/120 ≅ .0666≅ 7% (because .0666·100 =6.66≅7)

3) P= Not the circle or smaller rectangle/ Area of large rectangle

Not the circle or smaller rectangle area

= Area of large rectangle - Area of circle -Area of smaller rectangle

= 120 -4·pi -8 = 120 - (4· 3.14) -8 = 99.4362939 ft²

Area of large rectangle = l·w = 12·10 =120 ft²

P = 99.4362939 /120 ≅ .8286 ≅83% (because .8286·100 =82.86≅83)

7 0

2 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

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2 years ago

A resort hotel offers two weekend specials.

katen-ka-za [31]

Answer:

$44 per 1 meal

Step-by-step explanation:

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2 years ago