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kifflom [539]
2 years ago
6

What is the absolute value of the complex number?

Mathematics
1 answer:
babunello [35]2 years ago
7 0

Answer:

I think it equals Z

Step-by-step explanation:

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24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is
katovenus [111]

Answer:

Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at  30° angle from the front wall.

Let h be the length of the roof line. And b the depth of the shed.

We can see it is a right angle triangle with opposite 20.2-11.5=8.7\ feet (see the attachment)

Now,

sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet

Also,

tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet

So, Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

3 0
3 years ago
Read 2 more answers
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)? A. y=--x-5 B. y=+*+1 y=-x-8 O c. D. 11 v==x
uysha [10]

Answer:

B

Step-by-step explanation:

because

3 0
3 years ago
Find the equation of a line parallel to the line 2x-y-9=0 and passing through the point of intersection of the lines 5x+y+4=0 an
Cerrena [4.2K]

Answer:

y=2x-3

Step-by-step explanation:

1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to 2x-y-9=0

5x+y+4=0

y= -4-5x

substituting the value of y in 2x+3y=1:

2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1

substituting x=-1 in y= -4-5x:

y= 1 (upon solving, you should get this)

(x,y)= (-1,1)

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)

2x-y-9=0\\2x-9=y\\y= 2x-9

y= mx+c\\

-1= 2 x 1 +c

-3=c

  • y= 2x-3

3 0
3 years ago
Y-4=0 in standard form
wolverine [178]
Standard form : Ax + By = C

y - 4 = 0
y = 4...this is a horizontal line and a horizontal line has a 0 slope

so in standard form, ur equation is : 0x + y = 4
7 0
3 years ago
Help!!!!!!!!!!!!!!!!!!
notsponge [240]
The answer to this would be 40 degrees.
3 0
3 years ago
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