need an answer quick. If a circle with a diameter of 124 m is inscribed in a square, what is the probability that a point picked at random in the square is in the shaded region? Round to the nearest thousandth.
A.
0.013
B.
0.032
C.
0.215
D.
0.785
Answers
Answer: C. 0.215
Step-by-step explanation:
Given: A circle with a diameter of 124 m is inscribed in a square .
Thus side of square =124 m
Now, area of square=[tex](side)^2=(124)^2=15,376\ m^2[/tex]
Radius of circle=[tex]\frac{d}{2}=\frac{124}{2}=62\ m[/tex]
Area of circle=[tex]\pi\ r^2=3.14\times(62)^2=3.14\times3.14=12,070.16\ m^2[/tex]
Now, Area of shaded region= Area of square-Area of circle
Area of shaded region=[tex]15,376-12,070.16=3,305.84\ m^2[/tex]
Probability that a point picked at random in the square is in the shaded region
[tex]=\frac{\text{area of shaded region}}{\text{area of square}}=\frac{3305.84}{15376}=0.215[/tex]
Related Questions
I have attached a picture of a question I am stuck on. It is about Riemann sums. I have attempted the question but did not get the correct answer :( Here is my work:
I see that this graph has the same area repeating 12 times.
I did (b - a)/n, or (12 - 0)/36, and found that the width of each rectangle should be 1/3. Because we are asked to find the area using "circumscribed angles," I will use right-endpoint rectangles on the first part of the graph that shows a decreasing interval from 0 to 1:
t = 1/3, r(t) = 2.01745506
t = 2/3, r(t) = 2
t = 1, r(t) = 1.45369751
These values for r(t) represent heights of the rectangles. I can add them and multiply by the width of each rectangle:
1/3(2.01745506 + 2 + 1.45369751) = 1/3(5.47115257) = 1.823717523
I can multiply the area by 12 to find the area under the entire function:
1.823717523 * 12 = 21.88461028
This is not an answer choice, so I clearly did something wrong! Can someone help me find my mistake?
Answers
Or, you could use u-substitution to get the exact area under the curve from [0, 12] - but I would do as the problem says. If you want me to that, DM me.
Evaluate e−12fe-\dfrac12f e− 2 1 f e, minus, start fraction, 1, divided by, 2, end fraction, f when e=15e=15 e=15 e, equals, 15 and f=2f=2 f=2 f, equals, 2 .
Answers
Answer:
the answer is 14
Step-by-step explanation:
If the value of e is 15 and f is 2. Then the value of the expression [e - (1/2)f] will be 14.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ e - (1/2)f
If the value of e is 15 and f is 2.
Then the value of the expression will be
⇒ e - (1/2)f
⇒ 15 - (1/2) x 2
⇒ 15 - 1
⇒ 14
Thus, the value of the expression will be 14.
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10. Does the table represent an exponential function? Explain why or why not.
x 1 2 3 4
y 2 8 32 128
I REALLY NEED HWLP WITH THIS
Answers
A stuntman jumps from a rooftop 315 ft off the ground. how long will it take him, falling freely, to reach the ground? (use the formula s = 16t2.)
Answers
We then have to replace:
s = 16 * t ^ 2
315 = 16 * t ^ 2
Clearing the value of t:
315 = 16 * t ^ 2
t1 = root (315/16)
t1 = 4.437059837
t2 = - root (315/16)
t2 = - 4.437059837
We ignore the negative root.
Answer:
it will take him, falling freely 4.43 s to reach the ground
The stuntman will take approximately 3.98 seconds to reach the ground when falling freely from a rooftop 315 ft high.
To calculate the time it takes for the stuntman to reach the ground when falling freely:
Given s = 315 ft and using the formula s = 16t^2, where s represents the distance and t represents time.Plug in the value of s into the formula: 315 = 16t^2.Solve for t by isolating the variable: t = sqrt(315/16) ≈ 3.98 seconds.At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game
Answers
The expression to represent the number of fans at Saturday's game when there were 'x' fans on Friday is (1/2)x - 18.
Explanation:To find the number of fans at Saturday's football game based on the given information that there were 'x' fans at Friday's game, we will write a mathematical expression. According to the statement, there were 18 fewer fans than half of the fans on Friday night. The expression for half of the fans at Friday's game is (1/2)x and we subtract 18 from this to account for the 18 fewer fans. Therefore, the expression representing the number of fans at Saturday's game is (1/2)x - 18. This expression can be used to determine the number of fans at Saturday's game once the number of fans on Friday (x) is known.
The expression representing the number of fans at Saturday's game, based on the fact that there were 18 less than half the number of fans at Friday's game (represented by x), is (x/2) - 18.
Explanation:The question we are addressing involves writing an expression to represent the number of fans at Saturday's football game, with the information that there were 18 less fans than half the number of fans at Friday night's game, and there were x fans at Friday's game.
Let's start with the number of fans at Friday's game, which is represented by x. Since we know that Saturday's game had 18 less than half of that amount, we first need to find half of x. To do that, we divide x by 2: (x/2). Now, to reflect that there were 18 fewer fans on Saturday, we subtract 18 from half of x: (x/2) - 18. Consequently, the expression that represents the number of fans at Saturday's game is (x/2) - 18.
This expression allows us to plug in the actual number of fans from Friday's game (when we know it) to determine the number of fans that attended Saturday's game.
what is area
to count the inside of a shape
to count the out side of a shape
none of the above
Answers
Area refers to the amount of space inside a shape and is found by counting the inside of the shape. Therefore, the correct answer is option a.
"To count the inside of a shape": This means that when we calculate the area of a shape, we are determining the amount of space or surface area that is enclosed within the boundaries of that shape. In other words, it's the measurement of the total space covered by the shape, and it doesn't include the outer boundary or perimeter.
"To count the outside of a shape" is not an accurate definition for area. The outside of a shape is typically referred to as the perimeter or the circumference, and it represents the measurement of the boundary or the length of the outline of the shape.
"None of the above" is not the correct choice because the area is indeed about measuring the inside of a shape, as explained in the first option.
In summary, when we calculate the area of a shape, we are quantifying the space enclosed within the shape's boundary, not the space on the outside of it.
Therefore, the correct answer is option a.
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You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $37.00. How much is your balance at the beginning of the second month?
Answers
The answer is:
$2,059.14
What is the mode for the following set of data?
5, 7, 9, 11, 13, 13
8
9.7
10
13
Answers
The number 13 occurs the most in the set of data.
Which sequence is geometric and has 1/4 as it’s fifth term and 1/2 as common ratio is it A)...,1,1/2,1/4,1/8,...
B)...,1/4,1/2,1,2,...
C)...,1/72,1/36,1/18,1,9,
D)...,8,4,2,1,...
Answers
Answer:
Option A - [tex]......,1,\frac{1}{2},\frac{1}{4},\frac{1}{8}...[/tex]
Step-by-step explanation:
Given : A geometric has [tex]\frac{1}{4}[/tex] as its's fifth term and [tex]\frac{1}{2}[/tex] as common ratio.
To find : Which sequence is geometric ?
Solution :
The geometric sequence is defined as [tex]a,ar,ar^2,ar^3...[/tex]
where, a is the first term and r is the common ratio.
The nth term of the sequence is [tex]a_n=ar^{n-1}[/tex]
We have given, [tex]r=\frac{1}{2}[/tex] and [tex]a_5=\frac{1}{4}[/tex]
The 5'th term is
[tex]a_5=ar^{5-1}[/tex]
[tex]\frac{1}{4}=a(\frac{1}{2})^{4}[/tex]
[tex]\frac{1}{4}=a(\frac{1}{16})[/tex]
[tex]\frac{16}{4}=a[/tex]
[tex]a=4[/tex]
The sequence form is [tex]4,4(\frac{1}{2}),4(\frac{1}{2})^2,4(\frac{1}{2})^3,4(\frac{1}{2})^4,4(\frac{1}{2})^5...[/tex]
[tex]4,2,1,\frac{1}{2},\frac{1}{4},\frac{1}{8}...[/tex]
From the given sequence Option A matched with result.
Therefore, Option A is correct.
Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?
Answers
z=(6-8)÷3.2=(-2)÷3.2=-0.625.
Answer:
z=(6-8)/3.2=(-2)/3.2=-0.625
Step-by-step explanation:
z=(6-8)/3.2=(-2)/3.2=-0.625
A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.
What was the total number of bikes the company rented out for the first 6 months?
Answers
The total number of bikes rented is 2,184
If you plug in the correct numbers into the formula
[tex]a \dfrac{1- r^{n} }{1-r} [/tex]
Then you get
[tex]6 \dfrac{1- 3^{6} }{1-3} [/tex]
And when the fraction is simplified it looks like this
[tex]6 \dfrac{-728}{-2} [/tex]
Once this is in simplified form you take the 6 and put it over 1 like so
[tex] \dfrac{6}{1} * \dfrac{-728}{-2}[/tex]
Then you find the prime factors of 6 and factor the -2 like so
[tex] \dfrac{3*2}{1} * \dfrac{-728}{-1*2}[/tex]
Once this is done cancel out the 2
[tex] \dfrac{3}{1} * \dfrac{-728}{-1}[/tex]
Then multiply -728 by 3
[tex]\dfrac{-2184}{-1}[/tex]
Then divide to get 2184
Your friend, ASIAX
Answer:
Step-by-step explanation:
Describe the translation in the figure from A to A’
Answers
Answer:
d
Step-by-step explanation:
Which properties did Carmen use to solve the following problem? 17 + (45 + 23) 17 + (23 + 45) (17 + 23) + 45 40 + 45 85 distributive property identity property of addition associative property of addition commutative property of addition
Answers
Carmen used the associative property of addition to solve the given problem.
The associative property means one can add or multiply the given numbers regardless of how they are grouped. In other words, if one is adding or multiplying it does not matter where the brackets are placed.
The given problem is -
17 + (45 + 23), 17 + (23 + 45), (17 + 23) + 45
So here the sum of all the three patterns is 85. This clearly proves that forming groups does not affect the sum. So this is based on associative property of addition.
The number 1,054 is:
A. < 1,045
B. = 1,045
C. > 1,045
D. None of the choices are correct.
Answers
Hope this helped!
answer is C.
> 1,045
please please help me
Answers
.. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week
.. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week
a) A = M
.. w +7 = 2w +4
.. 3 = w . . . . . . . . . . subtract w+4
After 3 weeks Angelo and Marc will be running the same distance.
b) A = M = 3+7 = 2*3+4 = 10
That distance will be 10 miles per week.
_____
This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".
A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees.
What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.
Answers
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
It is D. 98.5
Step-by-step explanation:
Got it right on edge
For which interval is the function constant?
(0, 2)
(−∞, −6)
(2, ∞)
(−6, 0)
Answers
Answer:
(−6, 0)
Step-by-step explanation:
The section where the function is constant is where it is horizontal. This is from x = -6 to x = 0; in interval notation, this is (-6, 0).
A function assigns the value of each element of one set to the other specific element of another set. The function is constant in the interval (-6 to 0).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function is known to be constant if the value of one of the variables is not changing the value of the other.
In the function as we can see that the value of y is not changing with the change in the value of x between x=-6 to 0, therefore, the function is constant in the interval (-6 to 0).
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what is the value of x in the diagram?
a. 15
b. 5 2/5
c. 19
d. 3/5
Answers
Answer: The answer is (a) 15.
Step-by-step explanation: We are given a figure with two similar triangles with sides of lengths x, 15 and corresponding sides of lengths 15 and 25 respectively.
Since the given triangles are similar, so their sides will be proportional.
Therefore, we have
[tex]\dfrac{x}{9}=\dfrac{25}{15}\\\\\\\Rightarrow \dfrac{x}{9}=\dfrac{5}{3}\\\\\\\Rightarrow x=\dfrac{5\times 9}{3}\\\\\Rightarrow x=15.[/tex]
Thus, the value of x is 15.
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –After how many seconds does the ball return to the ground? Round to the hundredths place as needed.16t2 + 20t.
Answers
For which intervals is the function positive?
Select each correct answer.
(−6, −2)
[−8, −6)
(4, 8]
(−2, 4)
Answers
Positive is when the lines are above the X axis
in this graph it is positive from [−8, −6) and (−2, 4)
The function is positive in intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex]
A function is positive in intervals where the graph lies above the [tex]\boldsymbol{x-}[/tex]axis.
A function is negative in intervals where the graph lies below the [tex]\boldsymbol{x-}[/tex]axis.
In intervals [tex]\boldsymbol{(-6,-2),(4,8]}[/tex], the graph lies below the [tex]\boldsymbol{x-}[/tex] axis.
In intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex], the graph lies above the [tex]\boldsymbol{x-}[/tex] axis.
So, the function is positive in intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex]
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7p + 20 – 13q – 4q – 18 + 6p
A.
13p + 17q – 2
B.
13p – 17q + 2
C.
3q + 38
D.
3q – 6
Answers
Answer:
c i just took it
Step-by-step explanation:
The given expression simplifies to B. 13p - 17q + 2 by combining like terms.
The given expression that requires simplification is 7p + 20 - 13q - 4q - 18 + 6p. To simplify an algebraic expression, combine like terms, which are terms that contain the same variable raised to the same power. In this case, we combine the terms with p and the terms with q, as well as the constant terms separately.
First, combine the terms with p: 7p + 6p equals 13p.
Second, combine the terms with q: -13q - 4q combines to -17q.
Lastly, combine the constant terms: 20 - 18 equals 2.
Putting it all together, the simplified expression is 13p - 17q + 2, which corresponds to option B.
Part A: The area of a square is (9x2 − 18x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: The area of a rectangle is (25x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answers
The length of each side is 3(x -1).
B) 25x^2 -4y^2 = (5x)^2 -(2y)^2 = (5x -2y)*(5x +2y)
The dimensions are (5x -2y) and (5x +2y).
_____
The first question makes use of the "square of a binomial" special form:
(a -b)^2 = a^2 -2ab +b^2
The second question makes use of the "difference of squares" special form:
a^2 -b^2 = (a -b)(a +b)
If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104
Answers
If f(x) = 3 – 2x and g(x)=1/(x+5), what is the value of (f/g)(8)? a) –169 b) –1 c) 13 d) 104
x = 8
f(x) = 3 -2xf(8) = 3 - 2(8) = 3 - 16 = -13
g(x) = 1/(x+5)g(8) = 1/(8+5) = 1/13
(f/g)(8)f(8)/g(8) = -13/ (1/13) = -13 * 13 = -169 Choice A :)
The value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have functions:
f(x) = 3 – 2x and
g(x) = 1/(x+5)
To find the value of (f/g)(8):
First, find the value of f(x) at x = 8
Plug x = 8 in the function f(x)
f(8) = 3 - 2(8)
f(8) = 3 - 16
f(8) = -13
Now plug the x = 8 in the function g(x)
g(8) = 1/(8 + 5)
g(8) = 1/13
(f/g)(8) = f(8)/g(8)
(f/g)(8) = -13/(1/13)
(f/g)(8) = -169
Thus, the value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.
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Are lines of symmetry for any given polygon also diagonal?
Answers
Jane bought 10 pears and 11 oranges for $10.05 the total cost of one pear and one orange was $0.94 how much did 1 pear and 1 orange cost
Please Send Help
Answers
If 10 pears and 11 oranges cost 10.05 and the total cost of 1 pear and 1 orange is 0.94, then they should cost 0.47 cents each:
0.47 + 0.47 = 0.94
0.94 divided by 2 = 0.47
Hope this helps you.
Have a great day!
The cost of one pear and one orange is $0.94.
Explanation:To find the cost of one pear and one orange, we need to set up an equation. Let's let x be the cost of one pear and y be the cost of one orange. We can set up two equations based on the given information:
10x + 11y = 10.05 (equation 1)x + y = 0.94 (equation 2)We can solve this system of equations by substitution or elimination. Let's use the substitution method. From equation 2, solve for x in terms of y:
x = 0.94 - y
Substitute this expression for x into equation 1:
10(0.94 - y) + 11y = 10.05
Distribute and simplify:
9.4 - 10y + 11y = 10.05
Combine like terms:
9.4 + y = 10.05
Subtract 9.4 from both sides:
y = 10.05 - 9.4
y = 0.65
Now substitute the value of y back into equation 2 to find x:
x + 0.65 = 0.94
Subtract 0.65 from both sides:
x = 0.94 - 0.65
x = 0.29
Therefore, the cost of one pear and one orange is $0.29 + $0.65 = $0.94.
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Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t where d represents distance in miles and t represents time in hours.
Train B traveled a total of 324 miles in 4 hours.
How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?
The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h.
The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h.
Answers
Answer:
Option A - The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Step-by-step explanation:
Given : The distance Train A traveled is modeled by the function [tex]d(t)=81t[/tex]
where d represents distance in miles and t represents time in hours.
To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?
Solution :
Distance traveled by Train A in 1 hour is
[tex]d(t)=81t[/tex]
[tex]d(t)=81(1)=81[/tex]
Distance traveled by Train B in 1 hour is
[tex]d(t)=81t[/tex]
[tex]d(t)=81(1)=81[/tex]
or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour
Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Hence, Option A is correct.
Answer:
The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Step-by-step explanation:
HELP I WILL FAN AND MEDAL
Which of the following statements about special angle relationships is not correct?
A. It is possible for angles to be both vertical and complementary.
B. It is possible for an obtuse angle to have both a complement and a supplement.
C. It is possible for an acute angle to have both a complement and a supplement.
D. It is possible for angles to be both congruent and supplementary
Answers
Second choice: It is possible for an obtuse angle to have both a complement and a supplement.
Explanation:
Let's examine the given choices:
First choice:
It is possible for angles to be both vertical and complementary.
Vertical angles are equal angles.
Complementary angles means that the two angles add up to 90 degrees.
Two angles can be both vertical and complementary if the measure of each is 45. By this, the two angles are equal and their summation is 90 degrees.
Therefore, this statement is correct
Second choice:
It is possible for an obtuse angle to have both a complement and a supplement.
Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an obtuse angle is greater than 90, therefore, it cannot have a complement.
Therefore, this statement is not correct
Third choice:
It is possible for an acute angle to have both a complement and a supplement.
Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an acute angle is less than 90, therefore, it can have both a complement and a supplement.
Therefore, this statement is correct
Fourth choice:
It is possible for angles to be both congruent and supplementary
Congruent angles means that they are equal
Supplement angles means that they add up to 180 degrees.
Two angles can be both congruent and supplement if the measure of each is 90. By this, the two angles are equal and their summation is 180 degrees.
Therefore, this statement is correct
Based on the above, the only incorrect statement is the second choice.
Hope this helps :)
Answer:
B.) It is possible for an obtuse angle to have both a complement and a supplement.
Step-by-step explanation:
Rules for an obtuse angle:
It cannot be smaller than or be 90°It can not be bigger than or be 180°To create a complementary or supplementary angle, you can use 2 angles and no more than 2.
Say we used an obtuse angle (like the one in the picture below), since an obtuse angle can not be or be greater than 90°, an obtuse angle can not be complementary.
We can not fit 2 obtuse angles at 180°, because of that, an obtuse angle(s) can not create a supplementary angle.
Therefore, B would be the correct answer.
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Write a pair of parametric equations for an object moving along the unit circle
Answers
y = sin(t)
What is the missing reason in Step 8?
Answers
please show the full question.
Step 8 involves identifying the gap, researching if needed, and crafting a concise reason. Ensure coherence with existing content, verify consistency, and integrate the reason seamlessly. Finally, review for clarity and implement the revised explanation.
Step 8 is to implement a missing reason in a explanation, broken down step by step:
Identify the Gap: Review the existing explanation to pinpoint where a reason is lacking.
Understand the Context: Ensure comprehension of the topic to provide an accurate reason.
Research if Necessary: Gather relevant information to support the reason.
Craft the Explanation: Write a concise statement that fills the gap logically.
Check for Coherence: Ensure the new reason aligns seamlessly with the existing content.
Review for Clarity: Confirm that the explanation is clear and understandable.
Integrate into the Content: Insert the reason into the appropriate section of the explanation.
Verify Consistency: Double-check that the added reason maintains coherence with the overall argument or narrative.
Final Review: Reevaluate the entire explanation to guarantee completeness and accuracy.
Implement and Test: Incorporate the revised explanation and assess its effectiveness.
By following these steps, the missing reason can be seamlessly integrated into the explanation, ensuring clarity and coherence.
Pre-calculus Help Please! Express the complex number in trigonometric form.
3
A. 3(cos 0° + i sin 0°)
B. 3(cos 90° + i sin 90°)
C. 3(cos 180° + i sin 180°)
D. 3(cos 270° + i sin 270°)
Answers
3 = 3 + 0i -----------> rewrite as 3(1 + 0i)
So now what we have to do is figure out which of the above expressions has cos a = 1 and sin a = 0.
cos 0 = 1, and sin 0 = 0, so that's the answer that we want.
the answer is:
3 = 3(cos 0 + i sin 0)