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VLD [36.1K]
3 years ago
8

A scientist records a total of -22.4 millimeters of rainfall during a 4-week drought

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer: -5.6

Step-by-step explanation:

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tickets at a particular movie theatre have different rates for adults and children. on a friday the theatre sold 4 adult tickets
maria [59]
Using elimination method. Using substitution will cause some fraction problems.

c- child tickets
a- adult tickets

4a + 7c = $83
5a + 6c = $90

multiply by -5

-20a - 35c = -$415
20a + 24c = $360

-11c= -$55
c = $5 child tickets

4a + 7(5)= $83

4a + 35 = $83

4a = $48

a= $12 adult tickets

4 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
What is the system of equations for 2x + 2y = 10 and 5x - 2y=4?
vagabundo [1.1K]

2x  + 2y = 10 \\ 5x - 2y = 4 \\  7x = 14 \\ x = 2 \\  \\ 2(2) + 2y = 10 \\ 4 + 2y = 10 \\ 2y = 6 \\ y = 3
(2,3)
8 0
3 years ago
Read 2 more answers
What is the value of sinC ?
Vlada [557]
SinC=(8/17)
solve for C = arcsin(8/17)
7 0
3 years ago
Read 2 more answers
Malik’s solution to the equation 2/5x-4y=10 , when x=60, is shown below.
zhenek [66]

Answer:

D. Malik substituted 60 for y instead of x.

Step-by-step explanation:

Look closely at the step by step process.

4 0
3 years ago
Read 2 more answers
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