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Leni [432]
3 years ago
12

Geometry help anyone!!

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer: b

Step-by-step explanation:

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Step-by-step explanation: I don't know

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The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum? ​
VLD [36.1K]

Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that

<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>

<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>

where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.

Then the sum is

<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>

and its magnitude is

||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)

… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))

… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))

… = √(16 + 16 cos(135° - 45°) + 4)

… = √(20 + 16 cos(90°))

… = √20 = 2√5

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3 years ago
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There are currently 58 million cars in a certain country, increasing exponentially by 5.5% annually. how many years will it take
kozerog [31]
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1.3620690=e^0.055t
ln 1.3620690=ln e^0.055t=0.055t ln e=0.055t
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Miles bought a new pair of baseball cleats for $64.95. The sales tax is 6.5%. What is the total cost that Miles will pay?
Anit [1.1K]

Answer:

$69.17

Step-by-step explanation:

.065 x 64.95 ≈ $4.22

$69.17 + $4.22 =  $69.17

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