PLEASE HELP !!!!!! 50 POINTS !!!!!!!
Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work. (5 points)
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Related Questions
HELLPPPP!!!!!! If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
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h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
What transformation is applied to f(x)?
We know that f(x) is the parent absolute value function:
f(x) = |x|
It is transformed so we get:
h(x)= |x| + 2
Remember that a vertical translation of N units is written as:
h(x) = f(x) + N
if N > 0, the translation is upwards.if N < 0, the translation is downwards.Then h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
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A washer and a dryer cost $565 combined. The washer costs $85 less than the dryer. What is the cost of the dryer?
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Armando’s home insurance has
a $2,500 deductible per incident. This means that he
pays $2,500 and the insurance company will pay all
costs beyond $2,500. If Armando files a claim for
$19,400.
a. how much will he pay?
b. how much will the insurance company pay?
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Answer:
a. Armando pays 2500
b The insurance pays 16900
Step-by-step explanation:
Armando has to pay 2500 always and the insurance company will pay all thats left to pay is what i understand by the question and the total payment both have to do is 19400.
19400
2500 = 16900
Jesse has 414 inches of ribbon for making bows. She uses 3 inches of ribbon for each bow. How many bows can she make?
Write a division expression that can be used to answer this question.
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Answer:
414/3
Step-by-step explanation:
If she has 414 inches of ribbon and uses 3 inches for each bow then that means that you would have to divide 414 by 3 in order to find the amount of bows that Jesse could make
2. In the number 928,547,136, which digit is in the hundred thousands place?
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Answer:
5.
Step-by-step explanation:
5 is in the hundred thousand place because starting from the right it goes ones, tens, hundreds, thousands, then thousands, and hundred thousand meaning 5 would be in that place.
In order to solve the equation −3x + 6 = 5, the first step is to
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And subtract 6 from the 5 on the right making it now -1
the equation is now -3x = -1
What is the missing table value?
A. 9.4
B. 9.84
C. 10.16
D. 11.2
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Answer: the answer is C. 10.16
Step-by-step explanation: on the right each value is going up by 2.54 cm so for the forth row on the right you just need to multiply 2.54 x 4 which equals 10.16
hope this helps
3. An arithmetic sequence a begins 11, 7,...
a. Write a recursive definition for this sequence using function notatio
b. Sketch a graph of the first 5 terms of a
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We get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
We are given an arithmetic sequence:
11, 7, …
We get from the sequence that:
a = 11 ( initial term )
d = 7 - 11 = - 4 ( common difference )
Now the nth term will be given as:
aₙ = a + (n - 1) d
aₙ = 11 + (n - 1) ( - 4 )
aₙ = 11 - 4 n + 4
aₙ = 15 - 4 n
Third term = 7 - 4 = 3
Fourth term = 3 - 4 = - 1
Fifth term = - 1 - 4 = - 5
Therefore, we get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
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The function f is given below. Find f-¹(z) and evaluate f-¹(-6).
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Answer:
find the formula of the inverse function of a given function. For example, find the inverse of f(x)=3x+2.
Step-by-step explanation:
2 10 points
Sutton's cellphone plan calculates her bill by using the function, b (z) = 0.05x+75, where x is the number of minutes she uses the phone. What is her bill if she uses her
phone for 10000 minutes?
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If she uses its phone for 10000 minutes, her cost will be $575.
What is linear equation:The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).
According to the given data:The function b (z) = 0.05x+75,
value of x = 10000 minutes
Now putting the value of x into the equation we get:
b (z) = 0.05x+75,
b (z) = 0.05(10000)+75,
b (z) = 0.05(10000)+75,
= 500 + 75
b (z) = 575
The bill if she uses her phone for 10000 minutes = 575.
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Add 7 x 10−6 and 2.1 x 10−5
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Answer:
Step-by-step explanation:
70-6+21-5
64+16
=80
What is the product?
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Answer:
yo mom
Step-by-step explanation:
Martín y Paulina realizan una inversión en acciones con la misma cantidad de dinero. Martín ganó
$ 8.000 y Paulina perdió $ 6.000; de tal manera que la cantidad que le quedó a Paulina es la tercera
parte de lo que le quedó a Martín.
Determine una expresión algebraica que represente la situación planteada.
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i said right foot creep owww walking with that heat walk walking around stay low make sure that don't see
A
Help me please !!!!
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How many sophomores do not do homework
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Answer:
25%???
Step-by-step explanation:
*
A company has learned that by pricing a newly released toy at $7, sales will reach 1500 per day. Raising the price to $9 will cause the sales to fall to 1000 per day. Assume that the
ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales
a. Find the linear equation that models the price-sales relationship for this toy. (Hint: The line must pass through (7,1500) and (9,1000)]
b. Use this equation to predict the daily sales of the toy if the price is set at $8.50
a. Find the linear equation that models the price-sales relationship for this toy
(Simplify your answer)
b. Predict the daily sales of the toy if the price is set at $8.50.
toys
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(a) The linear equation that models the price-sales relationship for this toy is y = -250 x + 3250 .
(b) The daily sales of the toy if the price is set at $8.50 will be $1125
Slope for two points is given by m = y₂ -y₁ / x₂ - x₁ where ( x₁, y₁) are the coordinate of first point and (x₂, y₂) are the coordinate of second point.The most common variety of linear equations is in slope-intercept kind, that is pictured as y = mx + b where, m is that the slope of the road, b is that the y-intercept , x and y are the coordinates .An equation may be a statement, that has AN equal sign (=) between the pure mathematics expression. Linear equations are the equations of degree one.
(a) Let "x " be the price of the toy and "y" be the number of sales.
Then equation is given by y = mx + c .......(1)
It is given that ($7, 1500 sales/day) and ($9,1000 sales/day).
Using slope formula , for these two points , we get
m = 1000 - 1500 / 9 -7
= -500 / 2
= -250
Putting x = 7 and y = 1500 and m = -250 in equation (1) , we get
1500 = (-250)(7) + c
1500 = - 1750 +c
c = 3250
Putting c = 3250 and m = -250 in equation (1) , we get
y = -250 x + 3250 ........(2)
(b) Put x = 8.50 in equation (2) , we get
y = -250(8.50) + 3250
= -2125 + 3250
= $ 1125
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Consider the two functions.
f(x) = 4 +6
g(x) = 4²-6
If g (x) = f(x) + k
what is the value of k?
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Check out the attached photo
The Chen family and the Aoki family each used their sprinklers last summer. The water output rate for the Chen family's sprinkler was 40L per hour. The water output rate for the Aoki family's sprinkler was 25L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 2000L. How long was each sprinkler used?
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Answer:
Chen family used the sprinklers for 25 hours
Aoki family used the sprinklers for 40 hours
Step-by-step explanation:
Let C be the number of hours the Chen family used the sprinklers and let A be the number of hours the Aoki family used the sprinklers
Total hours used
=> C + A = 65 (1)
Total water usage for Chen family = 40C (40 L per hour x no. hour)
Total water usage for Aoki family = 25C (25 L per hour x no. hours)
Total used by both families = 2000 L
So
40C + 25A = 2000 (2)
Therefore we have two equations in 2 variables which can be solved simultaneously
Multiply (1) by 25:
==> 25C + 25A = 25 x 65
==> 25C + 25A = 1,625 (3)
Subtract (3) from (2) to eliminate the A term:
(2) - (3) ==>
40C + 25A - (25C + 25A ) = 2000 - 1625
40C + 25A - 25C - 25A = 375
40C - 25C = 375
15C = 375
C = 375/15
C = 25
So the Chen family used the sprinklers for 25 hours
Since C + A = 65
A = 65 - C
==> A = 65 - 25
A = 40
The Aoki family used the sprinklers for 40 hours
Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be 2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in this fundraiser?
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Answer: Idrissa collected 240 pennies
Step-by-step explanation:
2400/5=480
Meera works at the zoo's information desk. The total amount of time she spends giving directions is equal to 4 times the total amount of time she spends answering phone calls plus twice the amount of time she spends answering the phone and responding to emails. Which simplified expression represents the amount of time Meera spends giving directions?
A. 12a + r
B. 8s + r
C. 4a + 2 (a + r)
D. 6a + 2r
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The simplified expression represents how much Meera spends giving directions is D. 6a + 2r.
What is a simplified expression?A simplified expression is a mathematical expression that has completed the mathematical operations of adding, subtracting, multiplying, and dividing with the known values.
Given a simplified expression, the work left would be to fill in the independent variables.
Data and Calculations:The total time spent answering phone calls = a
The total time spent responding to emails = r
The total time spent giving directions = 4a + 2(a + r) = 6a + 2r
Thus, we can conclude that Meera spends six times the amount she spends answering the phone and two times the time she spends responding to emails to give directions.
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HELP PLSSS
THE CORDINATE OF POINT T ARE (2,-14). The midpoint of segment ST is (2,-8). Find the coordinates of point s
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Answer: f xc
Step-by-step explanation:
fff eeffffff
1
A=h(B+b); A = 39, B = 8, b = 5
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Solution,
Given,
A = 39
B = 8
b = 5
A = h(B+b)
Now,
A = h(B+b)
Putting the given values,
39 = h(8+5)
or, 39 = h×13
or, 39÷13 = h
or, 3 = h
or, h = 3
Therefore,the value of h is 3
Find the area of a rectangle that has a length of (x + 5) and a width of (x-3)
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Answer:
(x^2+2x-15) units
Step-by-step explanation:
Area=LW
=(x+5)(x-3)
=x^2-3x+5x-15
(x^2+2x-15) units
FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
.
• The game has 10 levels.
.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
.
. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.
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Step-by-step explanation:
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You are building a model of a new roller coaster with a scale factor of 1/51. The model is 4ft yall. How tall is the actual roller coaster?
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The actual roller coaster is 204 ft tall.
Given that, the length of the model roller coaster is 4 ft and the scale factor is 1/51.
What is a scale factor?The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object.
Let the length of the actual roller coaster be x.
We know that Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Now, 1/51 = 4 / x
⇒x=204 ft
Therefore, the actual roller coaster is 204 ft tall.
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does the function f(x)=(0,68)^x represent exponential growth, decay ,or neither
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The given function represents exponential decay.
In mathematics, exponential decay refers to the process of decreasing an amount at a constant percentage rate over time.If a quantity diminishes at a rate proportionate to its present value, it is susceptible to exponential decay.The given function is f(x) = (0.68)^xFor the numbers between 0 and 1, with an increase in the power of the number, the final value decreases.In the given function, 0.68 is greater than 0 but less than 1.As we increase the value of its power, i.e., "x", the value of the function decreases.A graph of the function has been attached below for better visualisation.To learn more about functions, visit :
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Find the standard form of the equation of the circle with endpoints of a diameter at the points
(3, 6) and (-11, 8).
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Answer:
Hello,
Answer: (x+4)²+(y-7)²=50
Step-by-step explanation:
center=((3+(-11) )/2,(8+6)/2)=(-4,7)
radius²=(3-(-4))²+(6-7)²=49+1=50
Equation:
(x+4)²+(y-7)²=50
Ebony earned scores of 70 , 72 , 89 , 92 , 89 and 80 on six math tests. Determine her score on the seventh test if her average for the seven tests was 80? Enter your answer as a whole number
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Answer:
70
Step-by-step explanation:
The value of X is represented with a point 4 unit to the left of 0
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The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
We are given an expression:
" a point 4 unit to the left of 0 "
We need to find the value of x coordinate for this expression.
In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.
We can write the expression as:
4 unit to the left of 0 will be - 4
So the point becomes:
( - 4 , 0)
So, the x coordinate becomes,
x = - 4
Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
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2) At a bake sale there were 48 raisin cookies sold. If the ratio of raisin cookies sold to
oatmeal cookies sold was 8: 5, what is the combined amount of raisin and oatmeal cooki
sold?
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Answer: The combined amount of raisin and oatmeal cookies sold=80. Step-by-step explanation: Let x be the combined amount of raisin and oatmeal cookies sold.
Step-by-step explanation: i really hope this helps but lmk if i am wrong have a good day/night (: <3