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2 years ago

The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?

Mathematics

2 answers:

Serjik [45]2 years ago

6 0

Answer:

2√5

Step-by-step explanation:

Using the formula for calculating resultant

R = √Fx + Fy

\sum Fx = -2sin 45 + 4 cos 45

\sum Fx = 2cos45

\sum Fx = 2(1/√2)

\sum Fx = 2/√2

Similarly;

\sum Fy = 2 cos 45 + 4 sin45

\sum Fx = 2(1/√2) + 4(1/√2)

\sum Fx = 6/√2

Magnitude = √(2/√2)²+6/√2)²

Magnitude = √4/2 + 36/2

Magnitude = √2+18

Magnitude = √20

Magnitude = 2√5

Hence the magnitude of their sum is 2√5

Allisa [31]2 years ago

3 0

Answer:

2√5

Step-by-step explanation:

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Which statement correctly compares the mean number of students for the data in the plots?

satela [25.4K]

Answer:

"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

Step-by-step explanation:

We need to compute the mean for each.

Poplar Middle School:

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

Oak Middle School:

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - "There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

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3 years ago

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masya89 [10]

Answer:

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3 years ago

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2 years ago

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Gnom [1K]

Answer:

A = 504inch

Step-by-step explanation:

Formula = A = 2(wl + hl + hw)

or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

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