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3 years ago

Convert 10pi/9 to degree measure.

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by $\frac{180}{\pi}$

From the question the value to be converted is $\frac{10\pi}{9}$

Converting it into degrees we have

$\frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9}$

We have the final answer as

Hope this helps you

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In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

serious [3.7K]

Answer:

0.017559

Step-by-step explanation:

Data provided:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = $\sqrt{\frac{p_0(1-p_0)}{n}}$

SE = $\sqrt{\frac{0.76(1-0.76)}{225}}$

SE = 0.02847

and,

$Z=\frac{p-p_0}{SE}$

$Z=\frac{0.82-0.76}{0.02847}$

Z = 2.107

therefore,

P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table

we get

P(sample porportions < 0.82) = 0.017559

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3 years ago

Lynn gave her nail technician a $5.10 tip. The tip was 15% of the cost of the manicure. Write an

satela [25.4K]

Answer:

Step-by-step explanation:

b x .15 = 5.10

b=5.10/.15

b=34

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2 years ago

A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed

irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

B = boat's speed
R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

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3 years ago

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$