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Hatshy [7]
3 years ago
13

3. Write the complex number 1 +i into polar form

Mathematics
1 answer:
xeze [42]3 years ago
6 0
The answer is going to be c
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Beth’s father asked her to buy party favors for her little brother’s birthday party. Party hats cost $1.60 each, balloons cost $
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$36
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then multiply each by 9 for the 9 children
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3 years ago
What is 777778978734*79980324768762378945569723
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? do you have a photo of your work
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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following
labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

5 0
3 years ago
Randomly distributing 45 pencils and 35 markers to his students. what is the probability that the first item he hands out will
Dominik [7]
If he hands out pencils will be 45/80 =
If he hands out markers will be 35/80
3 0
3 years ago
This figure is made up of a quadrilateral and a semicircle.
Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0
3 years ago
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