Answers
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Work Shown:
The given values are
sin(u) = -12/13cos(v) = -8/17Through the Pythagorean trig identity, we can find
cos(u) = -5/13sin(v) = -15/17I'm skipping these steps, but let me know if you need me to go over them.
Since u and v are in quadrant 3, this means both sine and cosine are negative here
Using those four items, we can then say the following:
cos(v-u) = cos(v)cos(u) + sin(v)sin(u)
cos(v-u) = (-8/17)*(-5/13) + (-15/17)*(-12/13)
cos(v-u) = 40/221 + 180/221
cos(v-u) = (40 + 180)/221
cos(v-u) = 220/221
This is reduced as much as possible because the GCF of n and n+1 is always 1.
Related Questions
The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?
A. 28%
B. 12%
C. 70%
D. 30%
Answers
Answer:
its B.12%
Step-by-step explanation:
$40 • .70 = $28
Can you help me with this plzzzzzzz
Answers
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
Which function has an inverse that is also a function?
o f(x) = 4x + 7
Oh (2) = 17
O j(x) = 3cº
O g(x) = 2 – 3
Answers
Answer:
G(x) = 2x - 3 has a linear inverse which is a function.
k(x) = -9x2 has a square root inverse that is a function on only the interval x < 0.
Step-by-step explanation:
The inverse of a function is a reflection across the y=x line. This results in switching the values of the input and output or (x,y) points to become (y,x). This can be done algebraically in an equation as well. Begin by switching the x and y in the equation then solve for y.
x = 2y - 3 -------> y = x/2 + 3/2 is linear and a function.
-9y2 = x --------> y = √(-x/9) is a square root that is a function on only the interval x < 0.
Absolute value does not have an inverse function.
x = -20 is a vertical line which is not a function.
Brainliest please?
HELP ME ASAP I HAVE SO MANY QUESTIONS THAT WILL SAY THIS BUT HELP MEEE!!!(timed!!)
r. Parks spent $96.30 on 3 hats and 6 key chains.
a. If each hat cost $15.50, how much did each key chain cost?
Each key chain costs $
.
Question 2
b. Claire said each chain costs $0.83. Why is her answer unreasonable? Explain.
Answers
Answer:
1. $8.30
Step-by-step explanation:
so 3 hats were purchased and each cost 15.50 so
15.50*3=46.50
and the rest of the 96.30 is 6 keychains so
96.30-46.50=49.80
and there is 6 keychains
49.80/6=8.30
Each key chain was $8.30
Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.
The cost of each keychain is $5.79 which parks bought.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Parks spent $96.30 on 3 hats and 6 key chains and the cost of each hat is $15.50 and assuming the cost of each key chain to be 'x'.
Therefore, The expression that represents this context is,
3×15.50 + 6x = 96.30.
6x = 96.30 - 46.50.
6x = 49.8.
x = 49/8.6.
x = 5.79.
So, The cost of each key chain is $5.79.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
What is the area of this tile? 4 in. and 1 in.
Answers
Answer:
4
Step-by-step explanation:
Answer:
4 square inches
Step-by-step explanation:
4x1=4
area= sqin
Noel’s brother is 3 times as old as Noel. The sum of their ages is less than 20. What’s the oldest age that Noel could be?
Identify:
Strategize:
Set up:
Solve:
Check
please help meeee!!!!
Answers
you set up the equation let’s say noels brother is x so x=3n and the other equation x+n<20 so then you replace x with 3n since there equal to each other so u have 3n+n<20 the you subtract n and 3n by n to eliminate the variable and u end up with 2n<20 and you divide both sides by 2 to get the variable by its self and then you get n<10
Answer:
The oldest Noel can be is 6
Step-by-step explanation:
6x3=18
18<20
Noel: 6
Noels' brother: 18
Need answer asap pls help!!
Answers
Answer:
C, Or : This shows that it takes 2/3 of an hour to mow a lawn
Step-by-step explanation:
It simple. you just read the question. not that hard. .-.
Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answers
Answer:
y=-3x-9
Step-by-step explanation:
PLEASE HURRY
The length of the base of an isosceles triangle is x. The length of a leg is 5x - 6. The perimeter of the triangle is 54. Find x.
X
Answers
bc you do this...
x+(5x-6)+(5x-6)=54
then solve
find the value of each variable
Answers
Answer:
x=67 y=113 x=52
Step-by-step explanation:
85+28= 113
180-113=67
67= x
67+28=95
95+85=180
y= 28+ 85 =113
113+15= 128
180-128=52
52=x
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answers
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
Base ball shorts = 4
Sneakers = $100
Total = 200
Total - Sneakers
200 - 100 = 100
We have 100 left and 4 pairs of basketball shorts
Left divided by Basket ball shorts
100 divided by 4
= 25
Therefore each pair of basketball shorts costs $25
- I hope this helped and you could give me brainlest
32% of what weight is 60 oz
Answers
Answer:
200 oz
Step-by-step explanation:
Just use the equation
0.32x=200
The number of 32% which result in 60 oz would be 18.75
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We need to find the number that is state 32% of number weight is 60 oz
Let the unknown number is represneted by b.
It can be written by;
32% x b = 60
32/100 x b = 60
0.32 x b = 60
b = 60/0.32
b = 18.75
Therefore, the number would be 18.75
Learn more about percentage here:
brainly.com/question/11549320
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HELPPPPPP PLEASEEEE!!!!!
Answers
Answer:
DE = 34
AC = 68
Step-by-step explanation:
since DE are midpoints, you can create this equation: 2(8x + 2) = 20x - 12
solve:
16x + 4 = 20x - 12
16x + 16 = 20x
16 = 4x
4 = x
plug this into both equations to find each side:
DE: 8(4) + 2 = 34
AC: 20(4) - 12 = 68
we know our answer is right because AC is twice as long as DE
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.
Answers
Answer:
$177
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
184+38=222
222-45=117
what equation would i use to find 5/9 of 39.6?
Answers
Answer:
( 39.6 * 5 ) / 9
Step-by-step explanation:
( 39.6 * 5 ) / 9 Equation
( 198 ) / 9 Done operation in brackets
22 Removed parenthesis
What does 2/3 + 7/8 equal
Answers
Answer: 1 13/24
Step-by-step explanation:
We need to convert 2/3 and 7/8 to have a common denominator. They both have a common denominator of 24 so...
We convert:
2/3 x 8/8=16/24
7/8 x 3/3 = 21/24
Then we add:
16/24 + 21/24 =37/21
Then we convert to a mixed number:
37/24= 1 13/24
What is parallel to 5x+2y=8
Answers
Jacob and 6 of his friends went out to eat. They decided to split the bill evenly. Each person paid $14.93. What was the total bill?
Answers
Answer:
$104.51
Step-by-step explanation:
No.of people = 7
How much each person paid = $14.93
How much is the total bill = $14.93 x 7
= $104.51
I was bored so I added the steps lol
Use the following function rule to find
Answers
Answer:
what rule my screen is white
Hey, Whats The answer please explain your answer marking brainliest:D Im tired....
Answers
-3x-3y=3 ,y=-5x-17 solving systems by substitution
Answers
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-3x - 3y = 3
y = -5x - 17
Step 2: Solve for x
Substitution
Substitute in y: -3x - 3(-5x - 17) = 3Distribute -3: -3x + 15x + 51 = 3Combine like terms: 12x + 51 = 3Isolate x term: 12x = -48Isolate x: x = -4Step 3: Solve for y
Define equation: y = -5x - 17Substitute in x: y = -5(-4) - 17Multiply: y = 20 - 17Subtract: y = 3(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.
Answers
Answer: X" ( -3,2) Y" (-1,0) Z" (1,6)
Step-by-step explanation:
In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log(x) to achieve the graph of g(x)=log(−3x+9)+4.
Answers
Answer:
GHOST TOWN a_a
Step-by-step explanation:
HELLO
-4 l3x-5 l +11=-13
The lines are for absolute value
Please help and explain if possible
Answers
Answer:
my Ans is 2 1 0 6 3 = 0
Step-by-step explanation:
is this Ans correct
Find the slope
Please help
Answers
Answer:
C
Step-by-step explanation:
It rises and and runs (to the right) 3,
The full expression would be y = 8/3x +4
Hope that helps
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answers
Answer: 13
Step-by-step explanation:
Line p has an equation of y=8/3x+2. Line q, which is parallel to p, includes the point (-2,-5). What is the equation of line q?
Answers
Answer:
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{8}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{8}{3}[/tex]
Parallel lines have equal slopes , thus
y = [tex]\frac{8}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 5) into the partial equation
- 5 = - [tex]\frac{16}{3}[/tex] + c ⇒ c = - 5 + [tex]\frac{16}{3}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← equation of parallel line
The graph represents f(x) = x + 3
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).
What is f(−2.2)?
-2
0
1
2
Answers
Answer:
The answer is C, 1.
Step-by-step explanation:
The answer is simple. You round up to the nearest whole number (cant be a negative,) and it can't be a 0. Therefore, you get 1.
.
5. The diameter of a cylinder is 18.5cm and length is 6.1m. Find the surface area of
the curved surface.
Answers
math work
pls help
bleh
Answers
Answer:
yes
Step-by-step explanation:
substitute 4 for g. 4x5= 20 and 20 is definitely less than or equal to 25
Answer:
yes
Step-by-step explanation:
Given
5g ≤ 25
If g = 4 then
5g = 5 × 4 = 20 and
20 ≤ 25
Thus g = 4 is a solution of the inequality