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3 years ago

Omar rides his unicycle on the playground.

Mathematics

1 answer:

Licemer1 [7]3 years ago

6 0

Answer:

439.6 inches

Step-by-step explanation:

The distance apart cna be obtained using the formular :

Number of revolutions = 7

Diameter, d = 20 inches

π * number of revolutions * diameter

3.14 * 7 * 20

= 439.6 inches

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Verify the identity. sin() tan() = cos() use a reciprocal identity to rewrite the expression in terms of sine and cosine, and th

Andreas93 [3]

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))

= Sin(α)xCos(α) / Sin(α)

= Cos(α)

Hence verified

Learn more about Trigonometric Ratios here :

brainly.com/question/13776214

#SPJ4

4 0

2 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

4 years ago

NEED HELP ASAP! PLEASE HElp!!

mote1985 [20]

the answer should be C

4 0

3 years ago

At Priscilla's Purse Warehouse, it takes fraction 2 over 3 of a day to complete fraction 1 over 9 of an order of purses. At this

kherson [118]

(2/3) / (1/9) = x / 1....2/3 day to 1/9 order = x days to 1 order
cross multiply
(1/9)(x) = (2/3)(1)
1/9x = 2/3
x = 2/3 * 9
x = 18/3
x = 6 days <==

6 0

3 years ago

an airplane travels 4688 kilometers against the wind in 8 hours and 5808 kilometers with the wind in the same amount of time. wh

Vladimir [108]

The speed of wind is 656 kmph and speed of plane is 70 kmph.

<u>SOLUTION: </u>

Given that, an air-plane travels 4688 kilometers against the wind in 8 hours

And 5808 kilometers with the wind in the same amount of time.

We have to find the rate of the plane in still air and the rate of wind

Now, let the speed of wind be a kmph and speed of plane be b kmph.

And we know that, $\text { distance }=\text { speed } \times \text { time }$

$\begin{array}{l}{\text { Then, while travelling with wind } \rightarrow 5808=(a+b) \times 8 \rightarrow a+b=726 \rightarrow a=726-b \rightarrow(1)} \\\\ {\text { While travelling against wind } \rightarrow 4688=(a-b) \times 8 \rightarrow a-b=586 \rightarrow(2)}\end{array}$

Substituting (1) in (2) we get,

$\Rightarrow 726-b-b = 586\Rightarrow -2b=586-726 \Rightarrow -2b=-140$

$\Rightarrow b=\frac{140}{2} \Rightarrowb=70\Rightarrow (3)$

On substituting (3) in (1) we get,

$a=726-70=656\Rightarrow a=656$

Hence, the speed of wind is 656 kmph and speed of plane is 70 kmph.

4 0

4 years ago