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True [87]
3 years ago
6

HELLO ME HELP ME PLEASEILL GIVE POINTS PLEASE

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

240

Step-by-step explanation:

bxwxh (base times width times height) 5x6x8 =240

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Write the square roots of 49 i in ascending order of the angle.
Troyanec [42]

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}}  =  \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

8 0
2 years ago
The length of a rectangle is 3 inches more than it width.The perimeter of the rectangle is 34 inches. The length of the rectangl
kodGreya [7K]

Answer:

Width = 7 inches

Length = 10 inches

Step-by-step explanation:

We know the 2(length + width) = 34, and we know that length = 3+width. Therefore, we can use substitution. 2(3+width+width) = 34, and we can see that the width is 7. The length of the rectangle is 7+3=10

5 0
3 years ago
Lcm of 63, 80 and 102
photoshop1234 [79]

Answer:

85,680

Step-by-step explanation:

3 0
2 years ago
Select the correct answer.
zhannawk [14.2K]
You have a good day and good luck on that question
8 0
3 years ago
(Question is in the image)<br><br> please I really need help
weqwewe [10]

Answer:

c

Step-by-step explanation:

The period is 1 complete cycle of the wave, before repeating.

1 cycle is from - 6 to - 2 , then

period = 4  → c

7 0
2 years ago
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