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Fiesta28 [93]
3 years ago
15

<x and <y are supplementary angles.<y measures 97° what is the measurement for <x?​

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

It’s 83 degrees

Step-by-step explanation:

180-97=83, it’s 180 because 180 is a supplementary angle.

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A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth
Pachacha [2.7K]

Answer:

Biography= 8/24= 1/3

Science Fiction= 6/24= 1/4

Step-by-step explanation:

The probability for biography is (biography/total amount of books.)

8/24= 1/3

The probability for science fiction is (science fiction/ total amount of books.)

6/24= 1/4

6 0
3 years ago
(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
Of the 1000 students in a local college ,
dimaraw [331]
Can you please explain? Or maybe continue your question please?
5 0
2 years ago
What is question a, b, c, d, e, and f? Thank you!
frosja888 [35]

Step-by-step explanation:

a. f(-4)= 2

b. f(0) = 0

c. f(3) = -1.8

d. f(-5) = 0

e. f(x) = -2 => x = 2

f. f(x) = 0 => x = 0 or -5

6 0
2 years ago
Compare the two linear functions.Select which has the greater rate of change and which has the greater initial value.
gizmo_the_mogwai [7]

Answer:

Function 1 is Greater Rate of change and Function 2 is Greater inital value

Step-by-step explanation:

I know I have that question

4 0
2 years ago
Read 2 more answers
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