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Lapatulllka [165]
2 years ago
13

Consider the numbers z = StartRoot 2 EndRoot (cos 45o + i sin 45o )and w = 2(cos 90o + i sin 90o).

Mathematics
2 answers:
Effectus [21]2 years ago
6 0

Answer:

In rectangular form, z - w = 1 - 1i

Step-by-step explanation:

Got it correct on Edge 2020

FromTheMoon [43]2 years ago
5 0

Answer:

1

315

315

Step-by-step explanation:

Edge

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The measure of ADB is 162 . what is the measure of EAB?
Xelga [282]
An angle formed by a chord and a tangent line is half the measure of the intercepted arc.

 The intercepted arc is ADB, which is given as 162 degrees.

Angle EAB = 1/2 of 162

The answer is 81 degrees.

6 0
2 years ago
Read 2 more answers
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
algol13
Hello!
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The volume of the prism is 143184 cm^3
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WORK: 114*4=456*314=143184
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Have a great day!
4 0
2 years ago
Read 2 more answers
4. The data shows the number of siblings each student in a 9th-grade class has.
antiseptic1488 [7]

Answer:

The correct option is Mean and standard deviation.

Step-by-step explanation:

The data set provided, arranged in ascending order is:

S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}

Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When  she returned, they found out she actually has 9 siblings.

So, the new data set is:

X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}

The mean of a data set is the average value representing the entire data.

\bar X=\frac{1}{n}\sum X_{i}

The median is the middle value of the data set.

The inter-quartile range is the difference between the first and the third quartile.

The standard deviation is the value that represents how dispersed the data values are.

SD=\sqrt{\frac{1}{n}\sum (X_{i}-\bar X)^{2}}

From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.

So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.

Thus, the correct option is Mean and standard deviation.

3 0
2 years ago
A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of
DedPeter [7]

Answer:

g = 15 - m/28

Step-by-step explanation:

let g = gasoline

let m = miles

  • g = 15 - m/28

since you can drive 420 miles with 15 gallons of gas, you can drive 28 miles with one gallon (= 420/15 = 28)

e.g.

you drive 100 miles, then you will have:

g = 15 - 100/28 = 15 - 3.57 = 11.43 gallons of gas left

you drive 240 miles:

g = 15 - 240/28 = 6.43 gallons

4 0
2 years ago
In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations  in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the  temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0
2 years ago
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