Two forces, with magnitudes of 115 pounds and 160 pounds, are acting on an object at angles of 50° and 130°, respectively, with the positive x-axis. Find the magnitude and direction (with the positive .r-axis) of the resultant force.​

Answers

Answer 1

Answer:

Step-by-step explanation:

x=(115cos50+160cos130)=-28.9254

y=(115sin50+160sin130)=210.6622

m^2=x^2+y^2

m=212.64

angle=180+arctan(y/x)

angle=97.82

v=212.64 at 97.82 degrees


Related Questions

Terra wants wall-to-wall carpeting in her bedroom, which measures 10’ x 12’6”. Carpeting is on sale for $24.99 per sq. yd. What is the cost? (Remember to round your dimensions before calculating the area)

Answers

Answer:

$347.08

Step-by-step explanation:

10' x 12'6" = 125 ft^2

one yd^2 = 9 ft^2

125/9 = 13.89 yd^2

13.89 x $24.99 = $347.08

in QRS the measure S=90ft the measure Q=79ft and RS=63ft find the length of QR to the nearest tenth of a foot

Answers

Answer:

64.2

Step-by-step explanation:

im not sure

WRITE AN EXPRESSION WITH ATLEAST FIVE TERMS THAT SIMPLIFIES TO 9X+25​

Answers

Answer: 19 + 11x - 7 - 2x + 13

Step-by-step explanation:

19 + 11x - 7 - 2x + 13

Bring like terms together

11x - 2x + 19 - 7 + 13

9x + 12 + 13

9x + 25

I don’t understand this at all and it’s due tomorrow! Please help!

Answers

Answer:

5) First you have to find x, then use it with supplementary angles theorem.

6) STQ = 150˚

Step-by-step explanation:

To find x, add (2x+8), (71-x), and 90˚ together to add up to 180˚ (those three angles are supplementary):

(2x+8) + (71-x) + 90 = 180˚

x + 169 = 180

Then solve for x:

x = 11

You can check if x is right by inputing it back into the two equations and see if all three of the angle measures together equal 180˚.

Now, you only need m∠MTS (2x+8) to find m∠STQ...

m∠MTS + m∠STQ = 180˚ because they are supplementary angles.

Input the found x to find m∠MTS:

(2(11)+8) = 30

Subtract 30 from 180 to find m∠STQ:

180 - 30 = 150

m∠STQ = 150˚

Hope this helped :)

find the length of the third side of the right triangle!!!!

Answers

Answer:

8

Step-by-step explanation:

There are two ways to solve this!

1. Use the Pythagorean Theorem

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

100 - 36 = b^2

64 = b^2

8 = b

2. Shortcut using 3-4-5 triangles

A 3-4-5 triangle has to do with the ratios of each side.

In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)

The cost of a mirror is directly proportional to the square of its width. A mirror of width 40 cm costs $24. Find the cost of the mirror if the width is doubled

please answer fast

Answers

Answer:

Step-by-step explanation:

Your answer

Proportion????

So, cost = width

If width is 80 then cost will be 48

I dont know if this right.

Answer accurancy 80%

Mark it as Brainlist answer. Follow me.

Please helpp!

Which postulate proves these two
triangles are congruent?
A. ASA
B. SAS
C. None, not congruent
D. HL

Answers

Answer:

it may be B but I think it's C

Step-by-step explanation:

not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides

Both triangles are congruent by (SAS) side-angle-side postulate.

The correct option is B.

What are congruent triangles?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.

Given,

Two triangles

ABC and DEC

AB = DE    (Given)

BC = EC     (Given)

∠ACB = ∠DCE  (Vertical angles at intersection of DB and AE)

By, Side-Angle-side theorem of congruent triangles,

ΔABC ≅ΔDEC

Hence, by side-angle-side (SAS) postulate, both triangles are congruent.

Learn more about congruent triangles here:

https://brainly.com/question/26131452

#SPJ5

Find the diameter of the circle. please.

Answers

Answer:

4

Step-by-step explanation:

2*radius

Answer:4

Step-by-step explanation:

2*2=4

Samuel opened a savings account and deposited $1,500.00. The account earns 1% interest, compounded annually. If he wants to use the money for senior prom in 3 years, how much money will he have to spend on his outfit and limo?

Answers

Answer:

uhm chile sooooo anywayzz

Step-by-step explanation:

Carrah has these cans of soup in her kitchen:
2 cans of tomato soup
3 cans of chicken soup
2 cans of cheese soup
2 cans of potato soup
1 can of beef soup
Carrah will randomly choose one can of soup. Then she will put it back and randomly choose another can of soup. What is the probability
that she will choose a can of tomato soup and then a can of cheese soup?

Answers

2/10 (or 1/5 ) Times 2/10 (or 1/5).

This will equal a 1 out of 25 chance.

You take the number of items you are looking for ( for example, 2 Tomato Cans) Divided by the total items you have (All 10 cans that are a possibility). Then you take your probabilities, and multiply them.

Need help with this asap!

Answers

Step-by-step explanation:

step 1. m: m is the variable, 1 is the coefficient, 1 is the degree, constant is 0.

step 2. 3t^2 +4t - 6: t is the variable, 3 and 4 are the coefficients, 2 is the degree, -6 is the constant.

step 3. 2 - h: h is the variable, -1 is the coefficient, 1 is the degree (highest variable exponent), the constant is 2.

step 4. -7a^2: a is the variable, -7 is the coefficient (before the variable), 2 is the degree, the constant is 0.

Solve each system using substitution. Check your answer.
x+y=8
y=3x

Answers

Answer:

x = 2

y = 6

Step-by-step explanation:

x + y = 8

x + (3x) = 8

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

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

y = 3x

y = 3(2)

y = 6

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

x + y = 8

(2) + (6) = 8

8 = 8

A bus travels 12 miles west and 16 miles south from its original location. How far is the bus from the original location?

Answers

Answer:

28 miles.

Step-by-step explanation:

12 + 16 = 28

Hope this helps and sorry if wrong!

Answer:

28 miles hope this helps have a nice day please gibe me brainliest :))

Step-by-step explanation:

Fernando had to pay $1.40 in sales tax when he purchased a shirt . If the sales tax rate is 7% how much did his shirt cost

Answers

Answer:

$20

Step-by-step explanation:

Work backwards so Price(.07) = $1.40 so x (.07) = 1.40, solving for x then

x = 1.4/.07 so x = 20

The cost of the shirt of Fernando is $20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Fernando had to pay $1.40 in sales tax when he purchased a shirt . The sales tax rate is 7%.

The cost of the shirt is calculated as,

$1.40 =  x (.07)

x = 1.4/.07

x = $20

Therefore, the cost of the shirt of Fernando is $20.

To know more about an expression follow

https://brainly.com/question/25748136

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Find the domain and range of the function:
fx) = -√5-x-3
Domain:
Range:
DONE

Answers

Answer:

Domain: [tex]x\leq 2[/tex]

Range: (∞,0)

Step-by-step explanation:

PLEASE HELP ME WITH THIS FOR BRAINLIEST

Answers

Answer:

516

Step-by-step explanation:

to solve this equation, multiply both sides by 4

a/4 * 4 = 129 * 4

a = 516

Answer:

a= 516

Step-by-step explanation:

a= 129*4

4*129 = 516

1 pts
9) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed. ONLY TYPE THE NUMBER, NOT THE UNITS. (Ex: If your answer is 13
cm, type 13)
3 m 6.6 m
?

Answers

Answer:

I think the answer is 19.8. The formula to calculate the area of the rhomboid is b × h (3.3 × 6.6 = 19.8)

Q.1 Write the algebraic expressions

(i) Three times p added to four times r

(ii) The difference of 2p and 3q when 2p is less than 3q

(iii) Two-thirds of x added to 2y [3]

help?!​

Answers

Answer:

(i) 4r + 3p (ii) 3q - 2p when 3q > 2p   (iii) 2y + 2/3 x [not sure what [3] means]

Step-by-step explanation:

So for part (i) 3 multiply p added to 4 times r = 3p + 4r

For part (ii) since subtraction can seem like a negative number you stipulate that 3q is greater than 2p so that is will hold true!

(iii) I'm not sure what the [3] means but just using the numbers [tex]\frac{2}{3}[/tex]x, since of means multiply and add 2y then you have 2y +  [tex]\frac{2}{3}[/tex] x

PLEASE HELP EASY!!!!!!!!!!

Answers

Answer:

its online survery tool

Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10​

Answers

Y= 4
Bottom one is 5 divided by 2

If I am earning £4.99 per hour at work , and I work for 38 hours a week how much would I earn in 6 months

Answers

Answer:

like 1000 maybe?

I think that's like a tough estimate

Answer:

4,930

Step-by-step explanation:

38 x 4.99= 189.62

since there are about 26 weeks in 6 months-

189.62 x 26 = 4,930.12

Arkadaşlar cevapları neler​

Answers

Answer:

hi

Step-by-step explanation:

i translated your question…

and

[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]

[tex]3 - x = - 4 \\ x = - 4 - 3 \\ x = - 7[/tex]

[tex]5 - x = 7 \\ x = 7 - 5 \\ x = 2[/tex]

hope it helps

Have a nice day bye

The letters P-R-O-B-A-B-I-L-I-T-Y are written on a set of cards. You mix the cards thoroughly. Without looking, you draw one letter then you draw another without replacing the first. Find the probability that you will select a P followed by a Y.

P(P, then Y) =

Answers

Answer:

P(P, then Y)=(1/11)(1/10)=1/110

Step-by-step explanation:

The number of letters in probability is 11.

There is 1 P.

The probability of drawing a P on draw 1 is the number of ways of drawing a P, which is 1, divided by the number of ways of drawing any letter, which is 11.  Thus:

Probability of drawing a P on the first draw is 1/11.

There are now 10 letters left. There is 1 Y. so

Probability of drawing a Y on the second draw given that you drew a P on the first draw is 1/10.

The probability of drawing a P on the first draw and a Y on the second draw is

(probability of a P on draw 1)(probability of drawing a Y on draw 2, given a P on draw 1)

P(P, then Y)=(1/11)(1/10)=1/110

Order these numbers from least to greatest. 6.992, 6.99, 13/2, 6 5/9

Answers

Answer:

13/2, 6 5/9, 6.99, 6.992

Step-by-step explanation:

The point where the graphs of x + 4 = y and 2x + 2 = y intersect has the
coordinates
(6,2)
(2,6)
(1,5)
O
(5, 1)

Answers

set the two equal to each other
2x+2=x+4
2x-x=4-2
x=2
and since there’s only one with a 2 as x the answer is (2,6)

1/3 + a = 5/4 a = ( )



Help plz!

Answers

Answer: a=4/3

Step-by-step explanation:

Answer:

a = 4/3

Step-by-step explanation:

Hope this will help

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3+a-(5/4*a)=0

                 5

Simplify  

                 4

    1                 5

 ( — +  a ) -  ( — • a )  = 0

   3                 4

                 1

Simplify   —

                 3

Solve  :    -3a+4 = 0

Subtract  4  from both sides of the equation :

                     -3a = -4

Multiply both sides of the equation by (-1) :  3a = 4

Divide both sides of the equation by 3:

                    a = 4/3 = 1.333

write 12 as a product of its prime factors ​

Answers

Answer:

the Prime Factors of 12 are: 2, 2, 3.

Step-by-step explanation:

Therefore 12 = 2 X 2 X 3.

subtract
(-8x+2)-(-5x=7)

Answers

Answer:

Hi! -5/3 :)

Step-by-step explanation:

Hope this helps!

Best of luck! ♥

As an estimation we are told 5 miles is 8 km.
Convert 25.9 km to miles.

Answers

Answer:

15 miles i think but i think is a True

Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
frequency data that can be plotted on a number line

Answers

Answer:

Aa 1

Step-by-step explanation:

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