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3 years ago

1.2million users of social media via mobile devices were added each day. How many users added on an average each second

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Answer: 14 new users are added per second

Step-by-step explanation:

1,200,000/24 = 50000

50000/60 = 833.333333333

833.333333333/60 = 13.8888888889

then round because it said on average

so if we round 13.8888888889 we get 14

so on average 14 new users are added per second.

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The radius of a circle is 5 inches What is the circumference of the circle?

givi [52]

Answer: 31.41592654 inches

Step-by-step explanation:

C = pi (d)

C = pi (10)

C = 31.41592654 inches

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2 years ago

Which of the sets of ordered pairs represents a function? (5 points) A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −

ELEN [110]

Answer:

Step-by-step explanation:

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2 years ago

Which expressions are polynomials? Select each correct answer.

lilavasa [31]

Here's an example

Simplify by collecting like terms: 4(x2y + 7y) – 5y(3x2 – y) – 10y

A) −11x2y + 5y2 + 18y

B) 4x2y + 11y – 8yx2 – 16y

C) 4x2y + 18y – 15yx2 + 5y2

D) 4x2y – 5y(3x2 – y) – 3y

A) −11x2y + 5y2 + 18y

Correct. 4(x2y + 7y) – 5y(3x2 – y) – 10y = 4x2y + 28y – 15yx2 + 5y2 – 10y = 4x2y + 18y – 15yx2 + 5y2 = −11x2y + 5y2 + 18y.

B) 4x2y + 11y – 8yx2 – 16y

Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15yx2 + 5y2. The correct answer is −11x2y + 5y2 + 18y.

C) 4x2y + 18y – 15yx2 + 5y2

Incorrect. This polynomial can be further simplified by combining the like terms 4x2y and −15yx2. The order of the variables in a term does not matter. The correct answer is

−11x2y + 5y2 + 18y.

D) 4x2y – 5y(3x2 – y) – 3y

Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5y2 + 18y.

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3 years ago

In 4 hours, you hike 10 miles.

HACTEHA [7]

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Reason: Your traveling at 2.5 miles per hour for a total of 4 hours.

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3 years ago

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

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3 years ago