Answer:
34.8 N at 2.5 degrees from the positive x-axis
Step-by-step explanation:
From the given information:
The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.
[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]
Given that
[tex]F_1 = 50 \ N[/tex]
[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]
[tex]F_{1x} = F_1 \times Cos A_1[/tex]
= 50 × cos 30
= 43.3 N
[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]
= 50 × sin 30
= 25 N
Similarly;
[tex]F_2 = 25 \ N[/tex]
[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]
[tex]F_{2x} = F_2 \times cos \ A_2[/tex]
= 25 × cos 250
= - 8.55 N
[tex]F_{2y} = F_2 \times A_2[/tex]
= 25 × sin 250
= -23.5 N
The total net force;
[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]
[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]
[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]
[tex]F_{net} =34.75 i + 1.5 j[/tex]
[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]
[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]
[tex]|F_{net} | = 34.8 \ N[/tex]
Finally, the direction of the angle for the net force is:
[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]
[tex]\theta = tan^{-1}( 0.043165)[/tex]
[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]
The diagram shows a line 13cm long.
Work out the value of a.
Evaluate the expression w ^2 - v + 1 for w = -2 and v = -8.
Answer:
13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
w² - v + 1
w = -2
v = -8
Step 2: Evaluate
Substitute: (-2)² - (-8) + 1Exponents: 4 - (-8) + 1Multiply: 4 + 8 + 1Add: 12 + 1Add: 13Answer:
the answer is 13
Step-by-step explanation:
A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?
Answer:
I'm not sure what the answer is but I will tell you when I get it
The time taken by the ambulance to pass the police car is 2 hours and this can be determined by using the formula of speed.
Given :
A police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour.The following steps can be used in order to determine the time taken by the ambulance to pass the police car:
Step 1 - The distance travel by the car is calculated as:
[tex]d =72\times 0.25 = 18[/tex]
Step 2 - Now, the difference in speed is calculated as:
[tex]\rm \Delta s =81-72 = 9[/tex]
Step 3 - Now, the time taken by the ambulance to pass the police car is calculated as:
[tex]\rm t = \dfrac{d}{\Delta s}[/tex]
[tex]\rm t = \dfrac{18}{9}[/tex]
t = 2 hours
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2. Which set below is the domain of
{(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)}?
F-3, 0, 4, 5, -2}
H {2, -1,4}
G-3, 4, 5, -2}
D {2, -1, 0, 4}
Answer:
D
Step-by-step explanation:
the domain is the interval or set of all valid x values.
the range is then the interval or set of all valid y values.
so, the x values are
2, -1, 0, -1, 4
and the set eliminates any multiple appearances of a value.
so, we get
{2, -1, 0, 4}
Hi what is 50.4 ➗ 2.4 any smart people here.
Answer:
21
Step-by-step explanation:
Answer:
The answer is 21! (Use long division)
Please need help on this one
Answer:
45 degrees
Step-by-step explanation:
Its a 45 right triangle. You can tell because the legs are equal.
You need to make 12 servings of fried fish. Each serving takes 7.5 ounces of flour. How many ounces of flour do you need
Answer:
you need 90 ounces
Step-by-step explanation:
7.5×12 = 90
Opal plots point D at (Negative 3 and one-half, one-half). Which graph shows the location of point D? On a coordinate plane, point D is 3 .5 units to the right and 0.5 units up. On a coordinate plane, point D is 3.5 units to the left and 0.5 units up. On a coordinate plane, point D is 0.5 units to the right and 3.5 units down. On a coordinate plane, point D is 0.5 units to the left and 3.5 units up.
Answer:
b
Step-by-step explanation:
Answer:
The answer is BStep-by-step explanation:
please give me brainliest :DHELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Describe the correlation if r = -0.45.
an electrician cuts a 27 ft piece of wire into two pieces. one piece is 23 ft longer than the other. how long's are the pieces?
Answer:
Step-by-step explanation:
27-23=4
4 divided by 2=2 so
1 piece is 2ft and one piece is 25 ft
23+2ft=25 ft + 2ft =27 ft
Suppose there is an urn containing 20 green balls and 30 red balls. A single trial consists of drawing a ball randomly from the urn, recording its color, and then putting it back in the urn. The experiment consists of 4 independent trials
The probability that the second ball is red is 11/25 .
IN THE EVENT OF SELECTING THE FIRST BALL
- The probability of selecting white ball is P(W) = 2/5
- Probability of selecting red ball is P(R) = 3/5
IN THE EVENT OF SELECTING THE SECOND BALL
P(R|W) = 1/2
P(R|R) = 3/5
So the probability of selecting a red ball as the second is
P(R2) = P(R|W)P(W) + P(R|R)P(R)
= (1/2)(2/5) + (2/5)(3/5)
= 1/5 + 6/25
= 11/25
What is probability?The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
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See screenshot Below.
Answer:
78 Kg
Step-by-step explanation:
Because he gained at a constant rate first find that rate
in 1.5 months gained 93.6 - 85.8 = 7.8 so
whhen he started his diet he was at 85.8 -7.8 = 78 kilograms
i need help James needs to buy shirts for his business. Company C charges customers a one-time $50 printing fee plus $10 for every shirt. Company D charges a one-time $20 printing fee plus $15 for every shirt. Which inequality can be used to find s, the minimum number of shirts that can be purchased so that the total charge at Company C is less than the total charge at Company D?
50s+10>20s+15
50s+10 20+15s
Answer: the first one
Step-by-step explanation:
The second one is missing the greater than or less than symbol
Mitch works at Comedy Cinema's concession stand. He has
helped 16 customers so far today. Find the cost of each person's
purchase and write it in the table. Then solve the riddle by writing
the letter of each answer in its matching blank.
Answer:
Step-by-step explanation:
Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable.
Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams. They recognize the steps as being the same.
Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).
PLEASE HELP!!!!!!!!!
Answer:
i think it is x< 5 but not 100% sure
Which is the correct answer?
Answer:
c is the correct answer
The two segments formed as a result of a bisector will
always be_____?
1.Proportional
2. Congruent
3. Parallel
4. Perpendicular
Answer:
[tex]\huge\boxed{Proportional}[/tex]
Step-by-step explanation:
But when it is exactly at the right angles, then it'd be called as perpendicular bisector.
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Answer:
what
Step-by-step explanation:
Solve 14−2x=28 using the replacement set {−21, −7, 7} .
A. −21
B. −7
C. 7
D. I don't know.
Answer:
B
Step-by-step explanation:
substitute the values from the replacement set into the left side of the equation to find which values of x make it true.
x = - 21
14 - 2(- 21) = 14 + 42 = 56 ≠ 28 ← False
x = - 7
14 - 2(- 7) = 14 + 14 = 28 ← True
x = 7
14 - 2(7) = 14 - 14 = 0 ≠ 28 ← False
Thus x = - 7 is the solution
Answer: the answerd is B
explanation: i take the Test A in k12
What's the slope of (2,9) (6, -8)
Answer:
17/-4
Step-by-step explanation:
Answer:
-4.25
I hope this helps!
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was not safe, and 13% had no opinion.
A random sample of 120 adults was asked the same question at a local county fair. 40 people felt that genetically modified food was safe, 60 felt that it was not safe, and 20 had no opinion.
At the 0.01 level of significance, is there sufficient evidence to conclude that the proportions differ from those reported in the survey?
Answer:
The proportions differ from those reported in the survey.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.
The hypothesis for the test can be defined as follows:
H₀: The proportions does not differ from those reported in the survey.
Hₐ: The proportions differ from those reported in the survey.
Assume that the significance level of the test is, α = 0.01.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]
Consider the Excel sheet provided.
The Chi-square test statistic value is 191.32.
The p-value of the test is:
[tex]p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000[/tex]
The p-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the proportions differ from those reported in the survey.
Mark to review later...
9. David is shopping for work supplies; he purchases 3 binders, 5 pens, and 2 reams of paper. The binders cost $3.50 each; the pens cost $1.15 each; and the reams of paper cost $4.00 each. The sales tax for his purchase is 7.75%. Which of the following is closest to the total cost of David’s purchase?
Sale tax of 3 binders is closest to the david total purchase.
As per the given question
Binders=3Pen=5
Reams=2
Binder cost $3.50 each
Pen cost $1.15 each
Paper cost $4.00 each
Tax =7.75%
Let's solve it
3 binder =3×$3.50=10.5
5 pen = 5×$1.15=5.75
2 reams =2×4.00=8
Total cost before tax = 10.5+5.75+8=24.25
Total sale tax =24.25×7.75%=1.879375
Total purchase after sale tax =24.25+1.879375=26.129375
As we calculate 3 binder=10.5
This is the closest to it.
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can u pls help me with this question
Hello I need help please
Suppose that two motorboats leave the same point at the same time. If one travels north at 15 miles per hour and the other travels east at 20 miles per hour, how fast will the distance between them be changing after 2 hours? Draw a diagram to model the situation.
Answer:
I believe it would be 70 miles between them.
2= f/8 f= solve the equation
Least to greatest 0.3 -0.03 -3 3.0 0.003 30 0.03
Answer:
-3, -0.03, 0.003, 0.03, 3.0, 30
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
find 3 solutions to the equation y = 1/2x - 1
The 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to find 3 solutions to the equation?The equation is given as
y = 1/2x - 1
Next, we set x = 0, 2 and 4
So, we have
When x = 0
y = 1/2 x 0 - 1 = -1
When x = 2
y = 1/2 x 2 - 1 = 0
When x = 4
y = 1/2 x 4 - 1 = 1
Hence, the 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
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What polygons have at least 4 sides?
Answer:
rectangles, squares, diamonds, rhombuses, and trapezoids
Step-by-step explanation:
Your Welcome
Answer: quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.
Step-by-step explanation: