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natka813 [3]
3 years ago
12

What is the value of this variable ?

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0

Answer:

z =  \frac{1}{2}  \times 60 \degree \\ z = 30 \degree \\ y = 100\degree + z \\ y = (100 + 30)\degree \\ y = 130\degree

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Help me please!!!!!!!!!
Mice21 [21]

Answer:

A = 5

I hope you have an amazing day!

6 0
3 years ago
Read 2 more answers
Use the polar representation to write the following in the form a + bi (a) (-1+ i)^7 (b) (1+v3i)^10
ira [324]

Answer with Step-by-step explanation:

For any complex number x+iy the polar form is represented as

z=re^{i\theta }

where

r^{2}=x^2+y^2\\\\tan(\theta )=\frac{y}{x}

Part a) x+iy = -1+i

Thus r=\sqrt{-1^2+1^2}=\sqrt{2}\\\\  \theta _{1}=tan^{-1}(\frac{-1}{1})=\frac{-\pi }{4}

Thus using De-Morvier's theorem

(-1+i)^7=(\sqrt{2}e^{i\frac{-\pi }{4}})^7\\\\\therefore (-1+i)^7=2^{7/2}\cdot e^{\frac{i-\pi }{28}}

Part 2) x+iy = 1+3i

Thus r=\sqrt{1^2+3^2}=\sqrt{10}\\\\  \theta _{1}=tan^{-1}(\frac{3}{1})=1.25

Thus using De-Morvier's theorem

(1+3i)^{10}=(\sqrt{10}e^{1.25i})^{10}\\\\\therefore (1+3i)^{10}=10^{5}\cdot e^{12.5i}

3 0
3 years ago
Write the following percent as a fraction in the simplest form. 12%
Aleksandr [31]

Answer:

I think that the answer is 3/25

4 0
3 years ago
Read 2 more answers
A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tr
son4ous [18]

Answer:

the fraction of surface that is not covered is 11/36

Step-by-step explanation:

To do this we first have to calculate the two surfaces

s = π * r^2

π = 3.14

r = d/2

d1 = 20

d2 = 24

r1 = 20/2

r1 = 10

r2 = 24/2

r2 = 12

s1 = π * r1^2

s1 = 3.14 * 10^2

s1 = 3.14 * 100

s1 = 314

s2 = π * r2^2

s2 = 3.14 * 12^2

s2 = 3.14 * 144

s2 = 452.16

to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1

s1 / s2 =

314 / 452.16 =

25/36

1 we subtract this

1 - 25/36 = 11/36

the fraction of surface that is not covered is 11/36

3 0
3 years ago
0.008 is 1/10 of what decimal
kap26 [50]
The answer is 0.08.
3 0
3 years ago
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