WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HRS Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answers
Answer: Resultant force = 114.96 pounds at angle 81.76°
Answer: magnitude = 114.96 lbs, direction = 88.21°
Step-by-step explanation:
Vector A: 150 lbs at 40°
Vector B: 100 lbs at 170°
Slide Vector B onto Vector A so you have a head to tail connection.
Calculate the angle between the vectors (50°).
Use Law of Cosines to find the magnitude of the resultant vector.
Use Law of Sines to find the direction of the resultant vector.
Law of Cosines: c² = a² + b² - 2ab cos θ
Given: a = 150, b = 100, C = 50°
c² = (100)² + (150)² - 2(100)(150) cos 50°
c = 114.96
Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}\\\\\text{Given: a=150, c=114.96, C=50}^o\\\\\\\dfrac{\sin A}{150}=\dfrac{\sin 50^o}{114.96}\\\\\\\sin A=\dfrac{150\sin 50^o}{114.96}\\\\\\A=\sin^{-1}\bigg(\dfrac{150\sin 50^o}{114.96}\bigg)\\\\\\A=88.21^o[/tex]
Related Questions
A track star runs twice a day. In the morning, he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps. In the afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps. How
many total miles does he run in a day?
Answers
Answer:
12.65 miles
Step-by-step explanation:
he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:
2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles
afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps
1 3/10 *3=13/10*3=39/10= 3.9
total miles he runs in a day: 8.75+3.9= 12.65 miles
The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8
Answers
Answer:
-2
Step-by-step explanation:
your equation is
f(x) = -2x+8
-2x
-2 is the slope
Answer:
The slope is -2
Step-by-step explanation:
Rewriting f(s) as y
y = -2x+8
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x+8
The slope is -2
assuming there are no reflection of diliations explain how you would write the equation of the function whose is stretched graph belowh
Answers
Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
Identify the continuous data.
A. the time you take your dog for a walk each day
B. the temperature of the water in the local river during the day
C. how long it takes to run a lap around the track
D. the number of croutons in your daily salad
Answers
Answer:
A. The time you take your dog for a walk each day
B. The temperature of the water in the local river during the day
C. How long it takes to run a lap around the track
Step-by-step explanation:
Continuous data is quantitative data that you can measure. It can have an infinite number of possible values within a given range.
For example, you can measure times and temperatures to any number of decimal places if you have the appropriate equipment.
D is wrong. You can't measure the number of croutons in a salad. You must count them.
Miguel is calculating the slope of a line of best-fit in the scatterplot below.
Which pair of points would be best for Miguel to use?
P and W
Q and v
R and U
(hurry)
Answers
Answer:
The correct option is;
Q and v
Step-by-step explanation:
The line of best fit can be found by the dividing area method through the following steps;
1) The dots in the plot are divided into equal number of dots on both sides of a dotted line through S
2) By eye judgement, mark the center of the data dots on each side of the dotted line for example points Q and V
3) Draw a line through the graph passing through point Q and V to get the best fir line.
Answer:
Q V
Step-by-step explanation:
If wrong please tell me so I can fix my answer for you guys.
:)))
A number is doubled, then decreased by 13.7. The result is greater than 125.28. What is the smallest integer that satisfies this condition?
Answers
Answer:
x > 69.49
Step-by-step explanation:
Step 1: Write out equation
2x - 13.7 > 125.28
Step 2: Add 13.7 to both sides
2x > 138.98
Step 3: Isolate x by dividing both sides by 2
x > 69.49
So x has to be greater than 70 in order to fit into the question context.
Answer:
70
Step-by-step explanation:
Let x be the desired integer. Then 2x-13.7>125.28. Adding 13.7 to both sides gives 2x>138.98, and dividing both sides by 2 gives x>69.49. The smallest integer that is greater than 69.49 is [tex]$\boxed{70}$[/tex].
Hope this helped! :)
Where is the function decreasing?
Answers
Answer:
the function is decreasing at the domain values: (-∞,1)
Step-by-step explanation:
the function is decreasing in the domain values from -∞ until 1, the lowest point with no increase or decrease:
which in interval notation can be written as: (-∞,1)
I hope this helps, but if I didn't answer the question or answered wrongly I will try again.
In how many ways can you arrange 4 different colored balls? 4,8,4!,3!,5!
Answers
Answer:
We can arrange 4 different colored balls in 24 ways.
Step-by-step explanation:
We have to find the number of ways in which we can arrange 4 different colored balls.
Firstly, we have to decide that either we use Permutation or we use Combination.
A Permutation is used when the order of arranging the numbers matters while on the other hand, a combination is used when the order of arranging the numbers doesn't matter.
So, in our question; the ordering matters to us as a ball which is placed in the first place can't be put again put in other places.
Number of ways of arranging 4 different colored balls = [tex]^{4}P_4[/tex]
= [tex]\frac{4!}{(4-4)!}[/tex] {[tex]\because ^{n} P_r = \frac{n!}{(n-r)!}[/tex] }
= 4! = [tex]4 \times 3 \times 2\times 1[/tex]
= 24 ways
Hence, we can arrange 4 different colored balls in 24 ways.
Pleasee HELP I HAVE TO TURN THIS IN pleaseee
Answers
Answer:
Below
Step-by-step explanation:
The surface are is given by this formula:
Sa= area of the base*the heigth + the area of the base *2
●●●●●●●●●●●●●●●●●●●●●●●●
2)
The base here has a triangular form.
Let A be the area of this triangle.
A= (6*8)/2 = 24 cm^2
Sa = A* 6 + A*2
Sa= 24*6 + 24*2
Sa = 192 cm^2
●●●●●●●●●●●●●●●●●●●●●●●●
The base here is a circle.
The area of a circle is :
A= r^2 * Pi
r is the radius (here 12 km)
A = 12^2* Pi
A= 144 Pi cm^2
Sa = 2*A + A* h
Sa = 7* 144* Pi + 2* 144* Pi
Sa= 4071.504
So the surface area is aporoximatively 4072 km^2
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answers
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
(05.02 LC)What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division. 20 in2 24 in2 32 in2 36 in2
Answers
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
Answer:
20 INCHES SQUARED
Step-by-step explanation:
Maths Problem. I can't quite explain it, could you help please? Thanks for every good answer. All shown on the picture :)
Answers
This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
Determine the sum of the first 7 terms of the arithmetic sequence with
general formula t_n = -3n +7
Answers
Answer:
your answer is -35.
Step-by-step explanation:
let the first 7 terms be 1,2,3,4,5,6, and 7.
we have ,
general term t_n = -3n +7 ,then
t_1 = -3*1 +7
= -3+7
= 4
t_2 = -3*2 +7
= -6 +7
= 1
t_3 = -3*3 +7
= -9+7
= -2
t_4 = -3*4 +7
= -12+7
= -5
t_5 = -3*5 +7
= -15+7
= -8
t_6 = -3*6 +7
= -18+7
= -11
t_7 = -3*7 +7
= -21+7
= -14
Now, the sum of first seven terms is
4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)
= 5 -2 - 5 - 8 - 11 - 14
= -35
Answer:
-35
Step-by-step explanation:
Sum of the first 7 terms of AP is:
S_7= 1/2*7(t_1 + t_7)As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:
t_1= - 3*1 + 7= 4t_7= - 3*7 + 7= - 14S_7 = 7/2*(4-14)= 7/2*(-10)= - 35Answer is - 35
the pairs of figures is similar.find x.round to the nearest tenth if necessary.from gradpoint plss help me if you have the diagram please solve for me
Answers
Answer:
4.1 feet
Step-by-step explanation:
Two shapes are said to be similar if they have the same shape and their sides are in the same proportion, i.e. the ratio of their sides are equal.
Given the two figures attached, the height of the first figure is 11 ft, while its width is 8 ft. For the second figure, its height is x feet and its length is 3 ft. Since the two figure are similar therefore the ratio of their sides are equal. Therefore:
[tex]\frac{x}{11} =\frac{3}{8}\\ \\x=\frac{3*11}{8}=4.125\\ \\x=4.1\ feet(to\ nearest\ tenth)[/tex]
Please answer this question now
Answers
Answer:
66 degrees
Step-by-step explanation:
WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.
Hope this is helpful! :)
There’s an online calculator you can use for those types of problems
For a hypothesis test of H0: p = 0.40 against the alternative Ha: p > 0.40, the z test statistic is found to be 2.25. What can be said about this finding?
a. The finding is significant at both α = 0.05 and α = 0.01.
b. The finding is significant at α = 0.05 but not at α = 0.01.
c. The finding is significant at α = 0.01 but not at α = 0.05.
d. The finding is not significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p-hat.
Answers
Answer:
B
Step-by-step explanation:
The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25
While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel
By using this, we get the probability P value of the z score 2.25 to be 0.012224
Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha
If P ≤ alpha, we reject the null hypothesis H0
At alpha = 0.05, p value is lesser , we reject the null hypothesis.
At alpha P 0.01, p value is greater so we accept null hypothesis
This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)
the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.
Calculation of the probability value:Since the z test statistic is found to be 2.25.
Now the P value of the z score 2.25 to be 0.012224
In the case when P ≤ alpha, we reject the null hypothesis H0
Now
At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.
At alpha P 0.01, p value is more so we accept null hypothesis
Therefore, the option b is correct.
Learn more about hypothesis here: https://brainly.com/question/18831983
2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?
Answers
Find the perimeter of parallelogram AFCB.
A. 14
B. 12
C. 28
D. 24
Answers
Answer:
C.28
Step-by-step explanation:
It gives you 2 sides.
One of them is 8.
The other one is 12 but the 12 is divided by 2 which is 6.
Since it is a parallelogram there is the same measurements on the opposite sides.
So finally you get 6+6+8+8= 28
The perimeter of parallelogram AFCB is C. 28
How do you calculate a perimeter?
With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.
What is perimeter for instance?The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.
Learn more about Perimeter here https://brainly.com/question/397857
#SPJ2
what is a continent To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answers
Answer:
To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first equation by 8 and multiply the second equation by 9.
y=6
Step-by-step explanation:
In the equations:
9x + 3y = -18 -----------------------------------------------------------------(1)
8x + 7y = 10 --------------------------------------------------------------------(2)
To solve for y, we will have to eliminate x
To eliminate x, we will follow the steps below;
multiply equation (1) through by 8 and multiply equation (2) through by 9
The resulting equations are
72x + 24y = -144 ----------------------------------------------------------(3)
72x + 63y = 90 -----------------------------------------------------------(4)
Then we will go ahead and subtract equation (4) from equation (3)
39y =234
divide both-side of the equation by 39
39y /39=234/39
y=6
Identify the x-intercepts of the function graphed below.
Answers
Answer:
-2 and 3 along the horizontal line
Step-by-step explanation:
There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis
Given ADC ACB and BDC BCA prove a squared + b squared = c squared. Use the two Column proof.
Answers
Answer:
a² + b² = c · (e + d) = c × c = c²
a² + b² = c²
Please see attachment
Step-by-step explanation:
Statement, Reason
ΔADC ~ ΔACB, Given
AC/AD = BA/AC, The ratio of corresponding sides of similar triangles
b/e = c/b
b² = c·e
ΔBDC ~ ΔBCA, Given
BC/BA = BD/BC, The ratio of corresponding sides of similar triangles
a/c = d/a
a² = c·d
a² + b² = c·e + c·d
a² + b² = c · (e + d)
e + d = c, Addition of segment
a² + b² = c × c = c²
Therefore, a² + b² = c²
Exam Question
Solve x when 18 + 6x = 2x + 42
Answers
Answer:
x=6
Step-by-step explanation:
first write out the equation that is given:
18+6x=2x+42
next subtract 2x from both sides:
18+6x-2x=2x-2x+42, which becomes 18+4x=42
then subtract 18 from both sides:
18-18+4x=42-18, which becomes 4x=24
finally divide both sides by 4:
4x/4=24/4, which becomes x=6
Therefore, x=6 is your answer
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]18+6x=2x+42\\ \\\text{subtract 18 from both parts of the equation }\\\\18+6x-18=6x=2x+42-18=2x+24 \\ \\\text{subtract 2x from both parts of the equation }\\ \\6x-2x=4x=24\\ \\\text{divide by 4 both parts of the equation }\\ \\x=\dfrac{24}{4}=6\\ \\\text{So the solution is ... }\\ \\\large \boxed{\ \ x=6 \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Emma opens a savings account with $100. She saves $60 per month. The equation T(n) = 60n + 100 can be used to represent this problem, where T(n) is Emma's total savings in dollars and n, represents the number of months. Question 1 (2 points) Which term in the equation is fixed? What does the fixed term represent in the context of the problem?
Answers
Answer:
The fixed term is the y-intercept. In this case the y-intercept would be 100.
Step-by-step explanation:
This is because the 100 dollars cannot be changed. You can always change the amount you save per month and the amount of months you save.
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answers
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%
Answers
Answer:
78.5
Step-by-step explanation:
Does point A on the graph represent a pair of possible values of m and w?
Yes or no because 20 is or is not equal to 2.5 times 1.
Answers
Answer:
No, because 30 is not equal to 2.5 times 6
Step-by-step explanation:
2.5 times 6 = 15
(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°
Answers
Answer: The awnser is 45 degrees
Step-by-step explanation:
As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.
Please help.. I'm really confused tbh
Answers
X axis is the horizontal axis and y is the vertical.
On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.
Quadrant 2 is upper left, which is negative x and positive y.
Quandrant 3 is lower left, which is negative x and y.
Quadrant 4 is lower right, which is positive x and negative y.
X< 0 is negative and y > 0 is positive.
This matches quadrant 2
The answer is B.
The cost, in cents, to produce x cups of Mountain Thunder Lemonade at Junior's Lemonade Stand is C(x)=18x+240,x≥0 and the price-demand function, in cents per cup, is p(x)=90-3x,0≤x≤30. Find the maximum profit.
Answers
Answer:
$192
Step-by-step explanation:
The cost function is given as:
C(x)=18x+240
The price function is given as:
p(x)= 90 - 3x
The revenue R(x) is the product of the price and the number of products. It is given by:
R(x) = xp(x) = x(90 - 3x) = 90x - 3x²
The profit P(x) is the difference between the revenue and the cost of production. Therefore:
P(x) = R(x) - C(x) = 90x - 3x² - (18x + 240) = 90x - 3x² - 18x - 240
P(x) = -3x² + 72x - 240
The standard equation of a quadratic equation is ax² + bx + c. The function has a maximum value at x = -b/2a
Since P(x) = -3x² + 72x - 240, the maximum profit is at:
x = -72/2(-3) = 12
at x = 12, the profit is:
P(12) = -3(12)² + 72(12) - 240 = -432 + 864 - 240 = $192
I'm marking answers as brainliest. When solving this system using elimination you should _______________. 6x - 9y = 21, 3x + y = 5 Multiply the second equation by 2. Solve the second equation for y. Set the equations equal to each other. Multiply the second equation by 9.
Answers
Answer:
Multiply the second equation by 9.
Step-by-step explanation:
To use the elimination method, you need to be able to add the equations and have one variable add to zero. That way you eliminate that variable.
The first equation has -9y. The second equation has y. If you multiply the second equation by 9, you will have 9y in the second equation. Then when you add equations, you will add -9y and 9y and will eliminate y.
Answer: Multiply the second equation by 9.
Answer:
Step-by-step explanation:
6x - 9y = 21
-6x -2y = -10
-11y = 11
y = -1
3x - 1 = 5
3x = 6
x = 2
(2, -1)