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2 years ago

a wheel has a diameter of 15cm. The wheel travels 50 metres. How many revolutions does the wheel complete?

Mathematics

1 answer:

TEA [102]2 years ago

8 0

Answer:

106

Step-by-step explanation:

The diameter of the wheel is 15 cm or 0.15 m.

The circumference of the wheel is 0.15π m ≈ 0.47 m.

So the wheel moves 0.47 m with each revolution.

The wheel travels 50 m, so the number of revolutions is:

(50 m) / (0.47 m/rev) ≈ 106 revolutions.

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2 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

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2 years ago

Please help with question

leva [86]

Answer:

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Step-by-step explanation:

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2 years ago

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I bought a TV. the screen is 52 inches wide and 29 inches high. find the length of its diagonal.

Crank

Answer:

*3545*

Step-by-step explanation:

52 square + 29 square = 3545

then square root 3545 = 59.539 ( round it if you want)

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2 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

enot [183]

Answer:

$P(x < 3) = 25\%$

$E(x) = 3$

Step-by-step explanation:

The given parameters can be represented as:

$\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}$

Solving (a): P(x < 3)

This is calculated as:

$P(x < 3) = P(x = 0) + P(x = 1) + P(x =2)$ ----- i.e. all probabilities less than 3

So, we have:

$P(x < 3) = 5\% + 5\% + 15\%$

$P(x < 3) = 25\%$

Solving (b): Expected number of events

This is calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%$

$E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%$

$E(x) = 340\%$

Express as decimal

$E(x) = 3.40$

Approximate to the nearest integer

$E(x) = 3$

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2 years ago