Answers
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Related Questions
Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?
Answers
Answer:
C None of the above
Step-by-step explanation:
Here are the required options
Choose all answers that apply
A (5g+3h).8
B (5g+3h).6
C None of the above
Given the expression;
(5g+3h+4).2
Expand
(5g+3h+4).2
= 2(5g+3h+4)
= 2(5g) + 2(3h) + 2(4)
= 10g+6h+8
Checking option A;
(5g+3h).8
Expand
= 8(5g+3h)
= 8(5g) + 8(3h)
= 40g+24h
Checking option B:
(5g+3h).6
Expand
= 6(5g+3h)
Using the distributive law;
= 6(5g) + 6(3h)
= 30g+18h
Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct
Answer:
C
Step-by-step explanation:
On khan
5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *
Answers
Answer:
$1483.52
Step-by-step explanation:
P=principle
Fn=total at the end of a given year(=n) (subscript)
I= interest in decimal
F=P(1+I)
at end of first year F1=P(1+I)
at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2
or in general Fn=P(1+I)^n
Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem
Answers
Is -16 rational or irrational
Answers
Answer:
irrational number
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.
PLEASE HELP ASAP!
:(
Answers
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
Answers
The area of a rectangle equals its length times its width. 60 • 100 = 6,000
HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.
Answers
Answer:
35 cookie dough orders
Step-by-step explanation:
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.
We have to calculate the number of cookie dough that Juan has.
The expression for the above question is given as:
t + 40 = 75
We collect like terms
t = 75 - 40
t = 35
Therefore, Juan has 35 cookie dough orders
The length of a rectangle is 5 units more than twice its width. Find an expression for the perimeter of the rectangle.
Answers
length would be 15
Please help.
Algebra.
Answers
Which equation has a graph parallel to the graph of
y = -2/3x + 2
Answers
Answer:
B
Step-by-step explanation:
The answer is b because the number is supposed to be next to the first number
Of the 45 staff members at SEMS ,9 were out with the flu one day in January. What percent of the teachers were at work today?
Answers
Answer:
80%
Step-by-step explanation:
Given that Of the 45 staff members at SEMS ,9 were out with the flu one day in January, it means that the number of people at work
= 45 - 9
= 36
As a percentage,
= 36/45 * 100%
= 4/5 * 100%
= 80%
The percent of the teachers were at work today is 80%
Mark and his three friends ate out at Applebee’s. (Hint* 4 total people)
Their bill totaled $52.35.
If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
(Round to the nearest dollar and cent)
Answers
Answer:
16 each
Step-by-step explanation:
15.71
Answer:
each person $15.67=$15.7
Step-by-step explanation:
20/100*52.35=10.47
52.35+10.47=$62.68 total
62.68/4=15.67
each person $15.67 =15.7
What is the value of x?
0 12
O 10
06
08
Answers
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
Learn more about the Pentagon here:
https://brainly.com/question/30182047
#SPJ7
The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answers
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
what tell the hardware what to do and and how to do it
Answers
Answer:
I am assuming you are telling me to tell a piece of hardware what to do and how so in that case, Hammer go hammer in that nail by hitting yourself on its head so I can hang this painting. LOL
Step-by-step explanation:
M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool
NEED HELPPPPP
Answers
Answer:
i need help please with my maths
Step-by-step explanation:
What’s the missing side length
Answers
Plz plz plz helpppppplllpl
Answers
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
please mark as brainliest
ANSWER ASAP
1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)
Answers
Answer:
100x^2+x-4
Step-by-step explanation:
x + (4 • (5x + 1) • (5x - 1))x + 4 • (5x + 1) • (5x - 1)Factoring 100x2+x-4 The first term is, 100x2 its coefficient is 100 .The middle term is, +x its coefficient is 1 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 100 • -4 = -400 Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is 1 . -400 + 1 = -399 -200 + 2 = -198 -100 + 4 = -96 -80 + 5 = -75 -50 + 8 = -42 -40 + 10 = -30 -25 + 16 = -9 -20 + 20 = 0 -16 + 25 = 9 -10 + 40 = 30 -8 + 50 = 42 -5 + 80 = 75 -4 + 100 = 96 -2 + 200 = 198 -1 + 400 = 399what is the average of 2,2,8and12
Answers
Answer:
The average is of 2,2,8,12 is 6
Answer:
6
Step-by-step explanation:
2+2+8+12= 24/4= 6
hope this helped! :)
please help me I DO NOT UNDERSTAND
Answers
Pleaseeee help! ASAP!
Answers
Answer:
Both slopes are as follows 1. 2 2. 2/5
Both equations are like
1.
16-12= 4
-----------=2
4-2= 2
=====
2.
10-4= 6
------------=2/5
20-5= 15
The Y intercept for both is as follows
1. 8
2. 2
I may be wrong on something but likely not and if I am sorry
Find the Surface area
Answers
Answer:
A=l×w×h
Step-by-step explanation:
5×5×6×7
1050. or if we add 4 in the solution part 2400
how to expand 2a²b-ab-a
Answers
Answer:
[tex]a(2ab - b - 1)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
[tex]gcf = a[/tex]
2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).
[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]
3) Simplify each term in parentheses.
[tex]a(2ab - b - 1)[/tex]
Which segment is closest in lenght to √10?
_
AC
_
DE
_
AD
_
AB
Answers
explain why 8.0 is greater then 0.8
Answers
Answer:
since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?
Answers
Answer:
Step-by-step explanation:
Circumference
C = 2*pi * r
pi = 3.14
r = d / 2
r = 8/2
r = 4 feet
C = 3.14 * 2 * 4
C = 18.84 feet.
Area
pi = 3.14
r = d/2
r = 8/2
r = 4
Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24 ft^2
Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
Y=
Z=
Answers
Answer:
6
Step-by-step explanation:
1,500/25= 60
Now your gonna do
90
HELPPP WILL GIVE BRAINLIST
Answers
Answer:
6. A
7. D
8. B
9. C
10. B
Step-by-step explanation:
Answer:
A D B C B
Step-by-step explanation: