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2 years ago

Express the moment of the couple acting on the rod in cartesian vector form. What is the magnitude of the couple moment?

Mathematics

1 answer:

mash [69]2 years ago

4 0

We are given with the vectors
-F = 4i - 3j + 4k
and
F = -4i + 3j - 4k
To get the moment, we determine the cross product between the two vectors
-F x F = 0i + 0j + 0k
The magnitude is 0 but this is if the pivot is the origin. In the couple, the magnitude is 4.

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List the factors of 36 what times is it what equals 36

Simora [160]

$1\cdot36=36\\2\cdot18=36\\3\cdot12=36\\4\cdot9=36\\6\cdot6=36$

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3 years ago

Read 2 more answers

A rectangular driveway has an area of 880 square feet and a perimeter of 128 feet. What are the dimensions of the driveway?

mamaluj [8]

Answer:

Dimensions are 20 X 44 feet

Step-by-step explanation:

First we need to build two equations:

For area X times Y = 880

For Perimeter 2x + 2y = 128

Now we need to solve one so we can substitute it into the other:

2x + 2y = 128 becomes

2x = 128 - 2y and then

x = 64 - y We will substitute this into the are equation

(64 - y)y = 880

64y - $y^{2}$ = 880

- $y^{2} + 64y -880 = 0$

factor out the negative

-( $y^{2} - 64y +880 = 0$

Factor:

-(y - 20)(y - 44) = 0

y-20 = 0 and y - 44 = 0

y = 20 and y = 44

Plugging these in two both of our formulas works

20 X 44 = 880 for area

2(20) + 2 (44) = 128 for perimeter

8 0

2 years ago

What function equation is represented by the graph?

KATRIN_1 [288]

Answer:

f(x) = -2.5x + 4

Step-by-step explanation:

If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is

f(x) = -2.5x + 4

I hope this helps

(I deserve to be marked the brainliest)

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2 years ago

Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. You are going to see Uncle buck for Christmas,

Mashcka [7]

The gas cost will be $19.53 for this trip.

Step-by-step explanation:

Given,

Distance covered by car per gallon = 32 miles

Cost of one gallon = $1.99

Unit rate in terms of miles;

32 miles = $1.99

1 mile = $\frac{1.99}{32}\ Dollars$

Therefore,

314 miles = Unit rate of mile * 314 miles

314 miles = $\frac{1.99}{32}*314$

$314\ miles = \frac{624.86}{32}\\\\314\ miles=\$19.526$

Rounding off to nearest hundredth;

314 miles = $19.53

The gas cost will be $19.53 for this trip.

Keywords: unit rate, multiplication

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago

Express the following as standard numbers:

Ksenya-84 [330]

Answer:

A. 56,000

B. 784,000,000

C. 620

D. 0.00000432

Step-by-step explanation:

${ \tt{}}$

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2 years ago