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3 years ago

Please help ASAP!

Mathematics

1 answer:

Misha Larkins [42]3 years ago

6 0

The probability of pulling a boys name first is 8/13. Then the probably of pulling a girls second is 2/5.

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1kg=£2.2 how many kg are there in £6.4

AleksAgata [21]

Answer:

2.90

Step-by-step explanation:

8 0

3 years ago

Consider the graph shown.

otez555 [7]

Answer:

y = $\frac{2}{3}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = $\frac{4-2}{3-0}$ = $\frac{2}{3}$

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = $\frac{2}{3}$ x + 2 ← equation of line

5 0

3 years ago

Tsits Cat

8090 [49]

Answer:

the trinagne

Step-by-step explanation:

8 0

3 years ago

Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using De Moivre's theorem:

If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number ⇒ z = 81(cos(3π/8) + i sin(3π/8))


Part (A) find the modulus for all of the fourth roots

∴ The modulus of the given complex number = l z l = 81

∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

7 0

4 years ago

Help with this question, please!!

IceJOKER [234]

Answer:

72°

Step-by-step explanation:

You correctly found x, but the measure of the angle is ...

4x-22 = 4·23.5-22 = 72°

___

or (6x-69)° = (141-69)° = 72°

4 0

3 years ago