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Kaylis [27]
3 years ago
5

Compute (3+4i) +(7 − 20i).

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

10 -16 i

Step-by-step explanation:

given,

(3+ 4 i) + (7 − 20 i)

for the given complex number

if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.

now

                = (3+ 4 i) + (7 − 20 i)                                  

               = (3 + 7) + (4+(-20)) i                      

                = 10 + (-16) i                      

                = 10 -16 i                              

so, the given answer will be 10 -16 i

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el
7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

m<ECD = 30 deg

We now use the law of sines to find EC

(sin 15)/10 = (sin 135)/EC

EC = 27.32

Because of the 30-60-90 triangle, ED = EC/2

ED = 13.66

Now we add the height of Zaheer to find AE.

13.66 + 1.5 = 15.16

Answer: 15.2 m

7 0
3 years ago
Theresa and Mark are playing cards. Each card is -50 points.
Amiraneli [1.4K]

*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*

Part A) Theresa has 5 cards so: 5 x -50 = -250

Theresa has -250 points.

Part B) Mark has 8 cards so: 8 x -50 = -400

Mark has -400 points.

Part C) Theresa has more points because -250 is closer to 0 on a number line.

4 0
3 years ago
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Robin kept a log of the number of hours she spent birdwatching during September and the cumulative number of birds she observed.
BlackZzzverrR [31]

Answer:

I dont understand there is no equation to solve or any math at all

4 0
3 years ago
EMERGENCY PLS HELP: What is the area of the triangle?
storchak [24]

Answer:

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Step-by-step explanation:

Formula: LxWxH/2

4x3=12/2=6

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2 years ago
Given that abcd is a rhombus, what is the value of x?
jeyben [28]

Answer:

A - 19.5

Step-by-step explanation:

A Rhombus is characterized by the diagonals meeting at a right angle. Therefore, the angle in the center is 90 degrees.

If you look at the bottom triangle, you know that the angles of a triangle add up to 180 degrees. You can say that all of the angles of the triangle added to 180 are:

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3 years ago
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