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dusya [7]
3 years ago
14

Which description of the vector shown is correct? O The magnitude is 777, and the direction angle is approximately 315º. The mag

nitude is 77, and the direction angle is approximately 135º. O The magnitude is 76, and the direction angle is approximately 315º. O The magnitude is 76, and the direction angle is approximately 135º.​

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Step-by-step explanation:

I think the typing of the answer options must have some typos.

the magnitude of a vector is the length of the vector.

the length of the vector is Pythagoras over its coordinates.

this vector goes from (3, -6) to (-4, 1), so the relative vector coordinates are -4 - 3 and 1 - -6 = -7, 7.

so the magnitude of length of the vector is

sqrt((-7)² + 7²) = sqrt(49+49) = sqrt(98)

= 9.899494937...

the direction angle is the angle of the vector with the x-axis.

it is the inverse tan of y/x. and in this case in the second (upper left) quadrant, since the vector is pointing up and left.

the inverse tan of 7/-7 = inverse tab of 1/-1 =

inverse tan of -1 in the second quadrant is 135°.

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3 years ago
The graph of which function passes through (0,3) and has an amplitude of 3? f (x) = sine (x) + 3 f (x) = cosine (x) + 3 f (x) =
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Answer:

f(x)=3*cosine(x)

Step-by-step explanation:

We are looking for a trigonometric function which contains the point (0, 3), and has an amplitude of 3.

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8 0
4 years ago
Read 2 more answers
(259 + X) + 513 = 622 + (275 + 192)
vitfil [10]
1. add the factors in the parentheses together first (275+192) - end up with 467
2. add 622 and 467 (end up with 1,089)
3. subtract 513 from both sides of the equation
4. you will end up with the equation of (259+x) = 576
5. subtract 259 from both sides of the equation
FINAL ANSWER
x = 317
hope this helps:)
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3 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
nadya68 [22]

Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

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Trip back — 5,   3 - t,   5(3 - t)

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4 0
3 years ago
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