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Taya2010 [7]
2 years ago
6

Can you please help me with this problem .

Mathematics
1 answer:
Harrizon [31]2 years ago
7 0

Answer:

4. -17

7. -9

Step-by-step explanation:

just fill them out to check

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Find the area of the sector.<br> 1350<br> 18 km
harina [27]

Answer:

21870 km^2

Step-by-step explanation:

Area of sector=1/2r^2(theta)

Where r=18 km and theta=135

Area of sector=1/2(18)^2(135)

=1/2(324)(135)

=1/2(43740)

=21870 km^2

7 0
3 years ago
Read 2 more answers
A cube is numbered 1 to 6 on its faces what is the theoretical probability of getting a 5 ? What is the theoretical probability
ANEK [815]

Answer:

The theoretical probability of getting a 5 is 16.6% or near 20%. Or 1 of 6

the theoretical probability of getting a 0 is 0% because there is no 0.

Step-by-step explanation:

4 0
3 years ago
Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
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 <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ 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
3 years ago
What is slope intercept for 7x+6y=30
GalinKa [24]
<span>7x+6y=30
6y = -7x + 30
  y = -7/6x + 5

answer:
slope = -7/6</span>
4 0
3 years ago
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What is the vertex form of the function y = x2 + 8x – 3
Scrat [10]

Answer:

y=(x+4)²-19

Step-by-step explanation:

8 0
3 years ago
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