Mathematics High School

Two forces, one of 120 pounds and the other of 200 pounds, act on the same
object at angles of 30° and -30° respectively, with the positive x-axis. Find
the direction of the resultant of these two forces.

Answers

Answer 1

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))

__

Additional comment

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.

Two Forces, One Of 120 Pounds And The Other Of 200 Pounds, Act On The Sameobject At Angles Of 30 And

Related Questions

PLEASE HELP, I am having a hard time with this. Find the angle of measure 1 (photo is attached)

Answers

Answer:

m∠1 = 112°

Step-by-step explanation:

First, draw a line in the middle of the kite to split it into two isosceles triangles. See the image below for reference.

Because they're isosceles, that means the base angle are congruent. So:

180 = 46 + x + x

180 = 46 + 2x

134 = 2x

x = 67

90 + y + y = 180

90 + 2y = 180

2y = 90

y = 45

x + y = m∠1

67 + 45 = m∠1

m∠1 = 112°

There are 20 pieces of fruit in a bowl and 3 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges?

Answers

15 percent of the fruit in the fruit bowl are oranges

Can Someone please help

Answers

Answer:

I'm pretty sure it's the second one!

Step-by-step explanation:



Can you guys help me pass this test? Please!!

Answers

Step-by-step explanation:

Ok85reo6do6e8 w85skyx5ie 8 5g xlho6e8 e

7 A man has a body mass of m kg. He is 30 kg
heavier than each of his twin children.
Express the body mass of each child in
terins of m. If the mass of the father and
2 children comes to 156 kg, find the mass
of the father.

Answers

Answer:

A man has a body mass of mkg he is 30kg heavier than each of his children. Express the body mass of each child in terms of m if the mass of the father and children sum up to 156kg find the mass of the father

The mass of the father would be 72 kg.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A man has a body mass of m kg. He is 30 kg heavier than each of his twin children.

Let the mass of first child be x

x = m - 30

Let the mass of second child be y

y =  m - 30

The total mass of the two children and a father would be

m + x + y = 156

Substitute;

m + m - 30+ m - 30= 156

3m - 60  = 156

3m = 156 + 60

m = 216 / 3

m = 72.

So the mass of the father would be 72 kg.

Learn more about equations here;

https://brainly.com/question/10413253

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Help on this please?

Answers

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

---------------------------------------------

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

-----------------------------------------------

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

Ekaterina wants to buy an awesome pair of boots that normally sells for $75. The boots are on sale at a 32% discount. She has $50 in her pocket. Does she have enough to buy the boots? *

Answers

Answer:

no

Step-by-step explanation:

100% -> 75

100%-32% = 68%

68% -> 51 (how much she needs )

PLEASE HELP ME. A bacteria is tripling every 10 days. If there is 4 bacteria in a sample, how long will it take to reach 1 million bacteria? What formula did you use? Approximate and exact answer please.​

Answers

Answer:

Step-by-step explanatiNlo peral son  en

Convert 6800 microseconds to centiseconds

Answers

Answer:

.68 Centiseconds

Step-by-step explanation:

A microsecond is exactly 1 x 10-6 seconds. 1 µs = 0.000,001 s. One millionth of a second.

and a centisecond is exactly 0.01 seconds. One hundredth of a second.

Im not really sure how to explain it. But I hope that I helped.

There are 0.68 Centiseconds in 6800 microseconds.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.

Given that, Convert 6800 microseconds to centiseconds

We know that 1 centisecond = 10000 microseconds

Thereforre, 6800 microseconds = 6800/10000 centiseconds

= 0.68 Centiseconds

Hence, There are 0.68 Centiseconds in 6800 microseconds.

For more references on unit conversion, click;

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13
9
Solve for X. SIMPLIFY your radical answer
completely.
х

Answers

more information??? or no

Evaluate: (5a + 10), when a = 3

Answers

Answer:

25

Step-by-step explanation:

5(3)+10

15+10

25

5a + 10

5(3) + 10

15 + 10 = 25

(5a + 10) = 25 when a = 3

Rewrite the expression using a radical.
1
8
256
=
(Do not evaluate.)

Answers

Answer:

256 DIVIDE BY 8 THEN PLUS 1

Step-by-step explanation:

Nicole kicked the ball 57 feet tyrel kicked the ball 35 feet. How much farther did Nicole kick the ball than tyrel?

Answers

Answer: Nicole  Kicked the ball Father by  22feet than Tyrell

Step-by-step explanation:

Nicole kicked the ball 57 feet

Tyrel kicked the ball 35 feet

Nicole  Kicked the ball Father by = 22feet

This is gotten by subtracting the distance Nicole kicked from that of Tyrel

=57 feet - 35feet = 22feet

A bakery had 679 bags of sugar. A baker used 463 of these bags to make pies. How many bags does the bakery still have?

Answers

Answer:

216

Step-by-step explanation:

679-463=216

Answer:

216 bags of sugar are left

Step-by-step explanation:

679 - 216 = 216

Use the given information to find the amount of A in the account earning compound interest after 6 years when the principal is $3500. r=2.29%, compound monthly

Answers

Answer:

$4014.98.

Step-by-step explanation:

A = 3500(1 + 0.0229/12)^(6*12)

= 3500(1 + 0.0229/12)^72

= 3500(1.001908333)^72

=  $4014.98.

A triangle has one angle that measures 40 and another that measures 38. What is the measure of the triangles third angle

Answers

Answer:

102°

Step-by-step explanation:

that's the answer because 40+ 38 = 78. then 180- 78 = 102. Remember that in tringles, all three angles should add up to 180°

The polynomial h(x) = (x+3)(x + 1)(x - 2)(.– 4) has the following zeros/roots:

Answers

Answer:

The roots(zeros) are :x=-3,-1,2,4

Step-by-step explanation:

The answer is A.

3x + 4y = 12 solve for y

Answers

Answer:

Step-by-step explanation:

4y = -3x + 12

y = -3/4x + 3

If a/b
and c/d
are rational expressions, then a/b*c/d=a*d/b*c.
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Promise Just toke the test

Answer:

it is true have a good day

There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?

Answers

Answer: $5.19

Step-by-step explanation:

If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.

40 * 52 = 2080 working hours

Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.

$900 * 12 = $10800

Divide $10800 by 2080 working hours to get how much he needs to make per working hour.

10800/2080 = approximately 5.19, rounded down from the nearest hundredth

He needs to make $5.19 per hour, so the answer is the last option.

The correct answer is 5.19

You spin the spinner once.

What is P(greater than 6)?

Answers

Answer:

it would be 25%

there is only one number that is greater than 6

HELP!!BC=
Round your answer to the nearest hundredth.
C
A
50
3
B

Answers

Answer:

answer is 2.30 using sine =opp/hyp

Y-intercept:8x +9y=40

Answers

Answer:

40/9

Step-by-step explanation:

9y = -8x + 40

y = -8/9x + 40/9

Answer:

y-intercept or "b"= 40/9 or 4.4444

Step-by-step explanation:

To do this, we use the formula y = mx +b

m= slope

b = y intercept

The equation we are given is 8x +9y = 40.

First, we need to subtract 8x from both sides to isolate the y variable to one side:

8x +9y = 40

9y = -8x + 40

Now, we need to divide both sides by 9, to solve for "y". This will give use the format of y = mx +b.

9y = -8x +40

y = -8/9x + 40/9

Because 40/9 cannot be reduced (besides 4.44), it will be our "b" or y intercept.

y-intercept = 40/9

I hope this helps!

-TheBusinessMan

Write the function that results when doing a vertical stretch of the reciprocal parent function by a factor of 3.

Answers

If by "reciprocal parent function" you mean [tex]f(x)=\frac{1}{x}[/tex] then stretch by 3 in ordinate direction (y-axis) is [tex]g(x)=3f(x)[/tex].

Hope this helps.

Please help me with this math I do not understand

Answers

Answer:

f(x)= -3 (x-2)^2 -5

is the answer

Luke saw a winter jacket he wants to buy on sale
for 40% off. If the jacket normally costs $138, how
much money will Luke pay for it?


Please help.. quick!

Answers

Answer:

$82.80

Step-by-step explanation:

138-55.20

I agree with the dude who said 82.80 because what I did was think about if I were to get $138 and there was a sign that said %40 I would subtract

a cake recipe calls for 525 grams of flour. about how many pounds of flour do you need?

Answers

Answer:

1

Step-by-step explanation:

1g -> 0.00220462 pounds

525g ->1.15743 pounds

           ≈ 1 pounds

28 is equal to how many tenths? *
Your answer

Answers

Answer:

2 tenths and 8 ones

Step-by-step explanation:

Answer:

28/10, or 2.8 i think, sorry if it's not right

Step-by-step explanation:

can someone help me with this please ​

Answers

Answer:

Step-by-step explanation:

Answer is 30

What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8, 2), and (5, -2)?


A. 12

B. 15

C. 20

D. 24


I will give 30 and brainliest for a good answer

Answers

Answer:

The answer is 24.

Step-by-step explanation:

I graphed it out, and calculated it and this is what I got. I am terribly sorry if this is wrong. Please forgive, but I think it is right.

Answer:

D

Step-by-step explanation:

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