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3 years ago

Two forces, one of 120 pounds and the other of 200 pounds, act on the same

Mathematics

1 answer:

mamaluj [8]3 years ago

5 0

9514 1404 393

Answer:

-8.21°

Step-by-step explanation:

The horizontal and vertical components of the forces are ...

(120; 30°) = (103.923, 60}

(200; -30°) = (173.205, -100}

Then the resultant is ...

(103.923 +173.205, 60-100) = (277.128, -40)

and the resultant direction is

arctan(-40/277.128) = -8.21°

_____

The polar coordinates (A; β) can be translated to rectangular coordinates by ...

(A; β) = (A·cos(β), A·sin(β))

<em>Additional comment</em>

The semicolon in (A; β) signifies the ordered pair is polar coordinates (magnitude; angle). The comma in (x, y) signifies the ordered pair is rectangular (Cartesian) coordinates. This notation is borrowed from the GeoGebra app, a geometry graphing/calculating program. It avoids some confusion. Personally, I prefer the notation A∠β to signify a magnitude and direction in polar coordinates.

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A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag conta

yawa3891 [41]

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

$(3 \times x) + (5 \times y) = 9600$

$(3 \times 2040) + ( 5 \times y) = 9600$

$(6120) + (5 \times x) = 9600$

$(5 \times x) = 9600 - 6120$

$(5 \times x) = 3480$

$x = 3480 \div 5$

$x = 696$

HOPE IT HELPS

#PEACE

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3 years ago

Use money to explain 0.6 and 0.06

ziro4ka [17]

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3 years ago

Read 2 more answers

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jonny [76]

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3 years ago

Read 2 more answers

Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answe

Fed [463]

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

6 0

3 years ago

9. Find the value of x.<br><br> (look at the picture)

Thepotemich [5.8K]

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:

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3 years ago