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3 years ago

The Pennington and Williams family each went on road trips this summer. Their mileage is shown in the graph

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Take a picture of the graph

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A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of

Contact [7]

Answer:

The magnitude of the resultant force is:

$R=100.3 \:pound$

The direction is:

$\theta=1.2^{\circ}$

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

Sum of x-component vector forces.

$F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)$

$F_{tot-x}=50cos(45)+75cos(30)$

$F_{tot-x}=100.3 \: pound$

Sum of y-component vector forces.

$F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)$

$F_{tot-y}=-50sin(45)+75sin(30)$

$F_{tot-y}=2.1 \: pound$

The magnitude of the resultant force is:

$R=\sqrt{100.3^{2}+2.1^{2}}$

$R=100.3 \:pound$

The direction is:

$tan(\theta)=\frac{2.1}{100.3}$

$\theta=arctan(\frac{2.1}{100.3})$

$\theta=1.2^{\circ}$

I hope it helps you!

4 0

3 years ago

What the square of 8^2

Novosadov [1.4K]

Answer:

8^2 = 64

unless you mean 8^2's square root then it is 8

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

3.2 cm on the map correspond to 4 km in the actual distance?

geniusboy [140]

Answer:

Step-by-step explanation:

Here, 3.2 centimeters on the map is equivalent to 4 kilometers. We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to. Using the unitary method: Therefore, the scale of map represents 1.25 kilometers for each centimeter.

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3 years ago

Which of the following is a defined term? Angle Line Point Plane

3241004551 [841]

Point is the defined term

5 0

2 years ago

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Are these two answers correct??

Damm [24]

Answer:

Yes