Represent the complex number graphically, and find the trignometric form of the number. 1 + 3i
1 answer:
The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a, b are real numbers.
Given the complex number z = 1 + 3i
In polar form: r = √(1² + 3²) = 3.16
Ф = tan⁻¹ (3/1) = 71.57⁰
The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
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Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.
Answer:
Step-by-step explanation:
Population size: 17
Median: 30
Minimum: 12
Maximum: 49
First quartile: 21
Third quartile: 35
Interquartile Range: 14
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The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
<h3>What is system of equation?</h3>A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
Solve this equation as,
.....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
Put the value of y in this equation and solve it further,
Put this value of x in equation 1,
The cost of an order of 1 hamburger and 2 orders of fries is,
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
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