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.
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Related Questions
Which equation is represented by the graph below?
Answers
Answer:
There is no graph, add a img
Step-by-step explanation:
the ratio of boys to girls in a class is 4 : 5 how many girls are there in a class if 12 boys are in the class
Answers
Answer:
15
Step-by-step explanation:
Hey! Pretty stranger :D
AsnwEr:
Number of girls in class = 15GivEn:
The ratio of no. of boys to no. of girls in a class is 4:5.Number of boys in class = 12To find:
Number of girls in class?Solution:
☯ Let number of girls be x.
Given that,
The ratio of no. of boys to no. of girls in a class is 4:5.Therefore,
→ 12/x = 4/5
→ x = 12 × 5/4
→ x = 60/4
→ x = 15
∴ Hence, number of girls in a class is 15.
What is the common ratio:The sequence 200, 100, 50, 25, ... has a common ratio of___
Answers
Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
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What are the terms in the expression 7x+4y+1?
1
7 and 4
7x, 4y, and 1
x and y
Answers
Answer:
I believe 7x, 4y, and 1
Step-by-step explanation:
I belive the answer is C.
Write the following in point-slope form.
Answers
Answer:
[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]
Step-by-step explanation:
An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.
For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.
We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.
[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].
Hope this helped!
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
Answers
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
find x.
find the measurement of angle b
find the measurment of angle c
Answers
Answer:
x = 3
Measurement of angle b: 70 degrees
Measurement of angle c: 70 degrees
Step-by-step explanation:
120° = (15x + 5) + (22x + 4) (ext. ∠ of △)
120° = 15x + 22x + 5 + 4
(120 - 9)° = 37x
x = (111/37)
x = 3
Measurement of angle b: 22x = 4 = 22(3) + 4 = 66 + 4 = 70 degrees
Measurement of angle c: 15x + 5 = 15(3) + 5 = 45 + 5 = 50 degrees
Hope this helped!
Answer:
x = 3, ∠ B = 70°, ∠ C = 50°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ADC is an exterior angle of the triangle , then
15x + 5 + 22x + 4 = 120 , that is
37x + 9 = 120 ( subtract 9 from both sides )
37x = 111 ( divide both sides by 37 )
x = 3
Thus
∠ B = 22x + 4 = 22(3) + 4 = 66 + 4 = 70°
∠ C = 15x + 5 = 15(3) + 5 = 45 + 5 = 50°
Given f(x) = x^3 + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k?
Answers
The required simplified value of k is 8 for given conditions.
Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
f( x ) = x³ + kx + 9 / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8
Thus, the required simplified value of k is 8.
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a/4=1 1/2
please answer I need it fast
Answers
Answer:
a = 6
Step-by-step explanation:
[tex]\frac{a}{4} =\frac{3}{2} \\a=4\times1.5\\a=6[/tex]Can someone help me please
Answers
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12
Answer:
x = 12
Step-by-step explanation:
Simplifying
9 + 2x = 33
Solving
9 + 2x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2x = 33 + -9
Combine like terms: 9 + -9 = 0
0 + 2x = 33 + -9
2x = 33 + -9
Combine like terms: 33 + -9 = 24
2x = 24
Divide each side by '2'.
x = 12
Simplifying
x = 12
36 is what percent of 200?
Answers
Answer:
18
Step-by-step explanation:
Answer:
18 percent
please can i have brainlieat
6. What are the solutions for p2 - 16 = 0 ?
A) {-4,4} B) {4}
C) {-8, 8} D) {8}
Answers
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± [tex]\sqrt{16}[/tex] = ± 4
Thus solution is { - 4, 4 } → A
Find the interior angles of the triangle.
Which kind of angle pair is angle A and the angle
marked 70°?
alternate exterior angles
of each angle?
alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
Answers
Answer:
125 is answer
Step-by-step explanation:
angle sum property
180-70
110/2
55
add the 70+55
125
Answer:
125
Step-by-step explanation:
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
Answers
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5
DUE ASAP AT 11!!!!!!!!1 -3x - 6x = 6 + x - 7x
A -2
B -12
C -3
D 11
Answers
Answer:
The correct answer is -2
Answer:
-2
Step-by-step explanation:
3x-6x=6+x-7x
=> -3x-x+7x=6
=> -4x+7x=6
=> 3x=6
=> x=6/3
=>x=2
Solve: 1/2x - 7 = 1/3 (x-12)
Answers
x = 18
Have a merry Christmas!
Answer:
x=18
Step-by-step explanation:
1/2x-7=1/3(x-12)
First, distribute.
1/2x-7=1/3x-4
Subtract 1/3x from both sides
1/6x-7=-4
Add 7 to both sides
1/6x=3
Multiply by 6 on both sides.
x=18
Hope this helps!
#Team Rainbows
Passe os numeros a seguir para notação cientifica.
a- 105 000
b- 0,0009
c- 149 600 000
d- 6 400 000
e- 348 000 000
Answers
Answer:
ingles Hablas ingles?
GMM
The numbers are
36
X
And 46 degrees
Answers
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
solve by factorisation 2x^2+3x-20=0
Answers
Answer:
(2x-5)(x+4)
....................
Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.
Answers
25 initial fee
50 is the charge per month
x is month
y is outcome
Write an expression using addition to find out what the score would be if a player sank 5 baskets and missed 5 baskets.
GET BRIANLIST IF IT IS CORRECT!!!!
Answers
Answer/Step-by-step explanation:
(5 x 10) + ( 5 x -15) or 5 x (10 + -15)
5 x 10 = 50
5 x -15 = -75
50 + -75 = -25
Answer:
-25
Step-by-step explanation:
100 POINTS PLEASE HELP!!!!
Problem-solving Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket.
Answers
Answer:
Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...
Step-by-step explanation:
Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.
marissa dance studio charge a monthly fee
Answers
Answer:
Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20
Answer:
This question is incomplete so I can not answer this
Step-by-step explanation:
Because the question is incomplete
Olivia picked 1,005 blueberries from the Orchard’s bushes. She divided them evenly into 8 baskets. How many are in each basket? How many are left over?
Answers
Tracey spent 1/2 hour playing on her iPad. This used up 1/9 of her battery. How long would she have played on her iPad to use the entire battery?
Answers
Answer:
8 hours and 10 minutes im pretty sure
Step-by-step explanation:
can i have heart and brainliest
Answer:
4.5 hours
Step-by-step explanation:
Multiply 1/2 hours by 9 for 4.5 hours total.
Gavin went shopping for a new pair of sneakers because of a sale. The store was offering a 20% discount. If the price on the tag was $46, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
Answer:
$36.80
Step-by-step explanation:
HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.
a.) function g decreasing over the interval
b.) function g is a positive over the interval
c.) function g has a y intercept of(0,4)
d.) function g is 4 units above function f
e.) the domain of function g is x>0
f ) the range of function g is (3,infinity)
Answers
Answer:
c. function g has A y intercept of (0,4)
Prada buys a designer phone case for $300. The phone case is a collector's item and
triples in price every 8 years. Which function will model the value of Prada's phone case
after t years?
Answers
Answer:
f(t) = 300*(3)^(t/8)Step-by-step explanation:
Initial price = $300Rate of increase = 3 times every 8 yearsTime = t yearsRequired function would be:
f(t) = 300*(3)^(t/8)I need help please help yo
Answers
Answer:
28/35
Step-by-step explanation:
Soh-Cah-Toa
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
For box A , find the constant proportionality .