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3 years ago

Write sin 29 degrees 32 minutes in terms of it cofunction

Mathematics

1 answer:

12345 [234]3 years ago

5 0

Answer:

Sin 29° 32' = Cos 60° 28'

Step-by-step explanation:

Here in this problem, we have to write Sin 29° 32' in terms of its co-function.

We know that co-function of Sin Ф = Cos ( 90° - Ф ).

Therefore, we have to find a complementary angle of 29° 32'.

So, ( 90° - 29° 32' ) = 60° 28'

Therefore, Sin 29° 32' = Cos 60° 28' ( Answer )

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The graph below shows a proportional relationship between x and y

Snezhnost [94]

Answer:

You get the answer by seeing if the line on the graph passes through the origin and if it does you see how many there is for every 1 thing.

Step-by-step explanation:

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3 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

$n = 61.5$

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0

3 years ago

I need help on doing this

Rudik [331]

Answer:

#5A=6

5B=4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Just question eleven .

gregori [183]

I’m pretty sure a is always and b is sometimes.

7 0

2 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago