Answers
Answer:
magnitude of √61 and a direction angle equal to approximately 40°
Step-by-step explanation:
I inserted the x,y axis into a vector calculator to get the magnitude and angle :D
The magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have a vector shown in the picture.
The coordinate of the vector are:
The tail coordinate = (0, 0)
The head coordinate = (6, 5)
We can find the magnitude of the vector using the distance formula:
The distance formula can be given as:
[tex]\rm M=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\rm M=\sqrt{(6-0)^2+(5-0)^2}[/tex]
M = √61
The direction of the angle:
tanA = 5/6
tanA = 0.8333
A =39.80 ≈ 40 degrees
Thus, the magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.
Learn more about the vector here:
brainly.com/question/8607618
#SPJ5
Related Questions
i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!
Answers
because the fee is $50, if you subtract that from one hour of work you get 95 that is how much it is per hour. You multiply 95 by 6 to get how much it would cost for the hours of work and then add the $50 back on for the initial fee
SOMONE PLEASE HELP ME WITH GEOMETRY PLZZZ
In the figure below, identify the altitude and the median.
Answers
Answer:
line CN is the altitude and AE is the median if i am correct
Step-by-step explanation:
1)Solve the system of equations using substitution or elimination. Your
12x - y = 24
-3x + 2y = -6
Answers
Find the slope of the line.
Answers
Answer:
the slope is 1
Step-by-step explanation:
Solve in simultaneou linear equation.
The total cost of bag and an umbrella is Rs 2000.If the cost of the bag is Rs 1000 less five times the cost of the umbrella ,find the cost of each of these two items.
Answers
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500
How do ik if the graph represents a function
Answers
Answer:
use the vertical line test you can not have more than one point on a vertical line (or a x value)
Step-by-step explanation:
Answer/Step-by-step explanation:
If the graphs relation is a function it will never repeat its x-values. In a function, there should only be 1 output(y) for each single input(x). Each x must correspond with only one y value.
what is the equation of a line that passes through the points (5,3) and (1,-5)? please put the answer on slope intercept form.
Answers
Answer: Answer and explanation in picture
Step-by-step explanation:
Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)
Answers
Answer:
-9,11
Step-by-step explanation:
The negative signs get flipped so if the number was positive it would become negative and vice versa.
Answer:
(-9,11)
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
least common multiple of 12 and 3
Answers
Answer:
Answer is 12
12x1=12
3x4=12
Step-by-step explanation:
Its the least number.
Answer:
It is exactly 12
Step-by-step explanation:
I hope this helped you
Can i get branliest and heart please
Thanks!
PLEASE HELP ME !?!?!?!?
Answers
Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve an equation to find the number of cars he needs to wash to reach his goal.
Answers
Answer:
Albert needs 32 cars to wash to reach his goal.
Step-by-step explanation:
We know that the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
It is stated that Albert needs $133 to buy a new hard drive.
Let 'y' be the amount Albert needs.As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.
As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.
Let 'x' be the number of cars he needs to wash to reach his goal.
Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function
y = mx+b
133 = 4.75x - 19
133+19 = 4.75x
152 = 4.75x
x = 152 / 4.75
x = 32
Therefore, Albert needs 32 cars to wash to reach his goal.
Please answer this please will give Brainliest
Answers
Answer:
y=1/3x+2
Step-by-step explanation:
Jolene buys 5/8 of a yard of fabric for $2.50. What is the price of the fabric per yard?
Answers
Answer:
4
Step-by-step explanation:
2.50/5=0.5
0.5*8=4
help!!!!!! what is 3/4 + 1/12?
Answers
Answer:
37/56
Step-by-step explanation:
Find the measure of the indicated angle:
A) 68°
C) 45°
B) 47°
D) 940
Answers
Divide 129/4.3 by 4.3
Answers
Answer:
6.97674418605
Step-by-step explanation:
thats what i got .-.
Answer:
6.97674418605Step-by-step explanation:
if i am on my side i am everything i you chop me in half i am nothing what am i
i know it i am just seeing who can get it
Answers
Answer:
the number 8
Step-by-step explanation:
A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.
Answers
Answer:
0.25 or 1/4
Step-by-step explanation:
easy - 3250 pounds divided by 13000 students
everyone will get 0.25 or 1/4 of a pound of chicken
hope this helps!!
Have a nice day!
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answers
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
Either Table A or Table B shows a proportional relationship.
Table A
x −2 −1 0 1
y 2 3 0 5
Table B
x −1 0 1 2
y −3 0 3 6
Plot the points from the table that shows a proportional relationship.
Answers
Answer:
the answer is table B
Step-by-step explanation:
Answer:
Table B shows a proportional relationship
Explanation:
In a proportional relationship two quantities vary directly with each other.
So,
y ∝ x
y = kx
Where, k is the constant of variation.
The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).
From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..
The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.
Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).
The proportional relationship is defined as
y = 3x
Therefore, 3 is the constant of variation and rate of change.
So, Table B shows a proportional relationship.
What is the relationship between two similar quadrilaterals and their areas?
Answers
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
solve for x.
2/3x = 10
Answers
Answer:
x=15
Step-by-step explanation:
2/3x = 10
To find x divide both sides by 2/3.
2/3x÷2/3 = 10÷2/3
x=15
Easy!! :3
Answer~x = 15
Steps~(2/3)*x = 10 // - 10
(2/3)*x-10 = 0
2/3*x-10 = 0 // + 10
2/3*x = 10 // : 2/3
x = 10/2/3
x = 15
------------------------------------------------------------------------Hope i helped!!
Have a great day!!
( `w`)``
There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?
Answers
Answer:
4:3
4 being triangles and 3 being circle.
Essentially, for every 4 triangles there are 3 circles.
Let me know if you need more help, :)
The ratio of number of circles to the total number of shapes is 3 : 7
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the total number of triangles be = A
Now , the value of A is 8
Let the total number of circles be = B
Now , the value of B is 6
So , the equation will be
The total number of shapes = total number of triangles + total number of circles
The total number of shapes = 8 + 6
The total number of shapes = 14 shapes
Now , the ratio of total number of circles to total number of shapes is =
total number of circles : total number of shapes
Ratio of total number of circles to total number of shapes = 6 : 14
On simplifying the ratio , we get
Ratio of total number of circles to total number of shapes = 3 : 7
Hence ,
The ratio of number of circles to the total number of shapes is 3 : 7
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
True or False: A prime number has exactly 2 factors
O True
O False
Answers
Answer:
I’d say false
Step-by-step explanation:
Which measure describes how much a sample mean varies when different samples are chosen?
Answers
Step-by-step explanation:
the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean
write the following as a fraction in simplest form and as a decimal:
143%
6%
1/2%
1.9%
3/4%
Answers
Answer:
1.43
0.06
0.005
0.019
0.0075
Step-by-step explanation:
143% = 143/100 = 1 whole 43/100 = 1.43
6% = 6/100 = 3/50 = 0.06
1/2% = 0.5% = 0.5/100 = 1/200 = 0.005
1.9% = 1.9/100 = 19/1000 = 0.019
3/4% = 0.75/100 = 75/10000 = 3/400 = 0.0075
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
Answers
Y = 4x + b
Plug in the point
1 = 4(-3) + b
1 = -12 + b, b = 13
Solution: y = 4x + 13
Select all simplified expressions of 3^4 divided by 3^9
Answers
I need help please will markbrianlyest
Answers
The sum of two numbers is 153. The larger number is twice the smaller number. Find both numbers.
Answers
Answer:
The 2 numbers are
102 and 51
Step-by-step explanation:
A + B = 153
A=2B
So 2B+B=153
3B=153
B=153/3=51
A=51*2=102
