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Phoenix [80]
3 years ago
10

Use phasor techniques to find an expression for i(t) expressed as a single cosine function, where i(t)=[250cos(377t+30∘)−150sin(

377t+140∘)] ma. enter your expression using the cosine function. round real numbers using two digits after the decimal point.
Mathematics
1 answer:
Elanso [62]3 years ago
5 0
Asked and answered elsewhere. (You can do the rounding yourself.)
brainly.com/question/9359711
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ABCD is a quadrilateral such that the measures of three of its interior angles are given as B=122 degrees, C= 75 degrees, D= 51
posledela

Answer:

angle A is 112 degree.

Step-by-step explanation:

quadilateral have 4 angles .

sum of the interior angles of a quadilateral is 360 degree

Here,

angle A = be x

angle B = 122

angle C = 75

angle D = 51

Now,

angle A + angle B + angle C + angle D =360 degree

x + 122 + 75 + 51 = 360

x + 248 = 360

x = 360 - 248

x = 112

4 0
2 years ago
How many sixteenths are there in 5/8​
nadya68 [22]

Answer:

10!

Step-by-step explanation:

Exuse me if im wrong :')

6 0
3 years ago
A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute
RUDIKE [14]

Answer:

The function notation is given as:

$6 + $30 × x

f(x) = $6 + 30x

The dog walker charges $28.50

Step-by-step explanation:

Let the hourly rate be represented by x

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.

The function notation is given as:

$6 + $30 × x

F(x) = $6 + 30x

How much does the dog walker charge for a 45 minute walk?

We have to convert 45 minutes to 1 hour

60 minutes = 1 hour

45 minutes = x

x = 45/60

x = 3/4(hour)

Putting that in the function notation:

f(x) = $6 + 30x

x = 3/4

$6 + 30(3/4)

$6 + $22.5

= $28.50

Therefore, the dog walker charges $28.50

7 0
3 years ago
What is the measure of the smallest angle?<br><br><br><br> 52°<br> 61°<br> 67°<br> 69°
Reika [66]
52 Degrees is the smallest measure :)
4 0
3 years ago
Read 2 more answers
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