Answers
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
Related Questions
help the whole question is right there, it's pretty easy I just don't have brainpower
Answers
Answer:
Your answer is 211.8
Step-by-step explanation:
We've made a right triangle so the equation is a²+b² = c²
141²+158² = c²
141²+158² = 44845
Then you square root it
√44845 = 211.8
Which statement best describes the sequence defined by ?
The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.
Answers
Answer:
well its not c so...
Step-by-step explanation:
that'll leave you w 3 others to choose from. sorry.
The series diverges because it does not have a sum option, fourth is correct.
What is the convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.
We have an infinite series:
[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]
[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]
The above series is geometric series with first term 2 and the common ratio is 2.
Here 2>1
By the ratio test, the series is divergent.
Since the common ratio is greater than 1 the sum will be infinite.
Thus, the series diverges because it does not have a sum option, fourth is correct.
Learn more about the convergent of a series here:
brainly.com/question/15415793
#SPJ2
heyy! i’ll give brainliest please help.
Answers
Answer:
The 2nd one is related to the climate
Step-by-step explanation:
HaVe An AmAzInG DaY
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $12 per square foot. How much will it cost to replace the glass? Use 3.14 for π.
Answers
Answer:
The image of the window can be seen below:
In the image we can see that the window can be separated in:
One rectangle of 4ft by 5 ft
Two half-circles (that if we add we get a complete circle) of diameter D = 4in.
First, we know that for a rectangle of length L and width W, the area is:
A = L*W
Then the area of our rectangle is:
A = 4ft*5ft = 20ft^2
And for a circle of diameter D, the area is:
A' = 3.14*(D/2)^2
In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:
A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2
Then the total area of the window is:
Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2
And we know that each square foot of glass costs $12, then 32.56 square foots of glass will cost 32.56 times $12
Then the total cost is:
C = 32.56*$12 = $390.72
Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared
Answers
What is the slope-intercept equation of the line below?
HELP PLS
Answers
Answer:
y = -5/4x + 3
Step-by-step explanation:
need help asap! will give brainliest!
Answers
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answers
Answer:
Which subject is optional in the morning??
PELASE HELP MEEEEE I REALLY NEED HELP
Answers
Answer:
2. 7238.23 mm
3. 55.42 ft
4. 703.86 ft
Step-by-step explanation:
Answer:
1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2
hello please help i’ll give brainliest
Answers
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answers
Answer:
[tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m
what is 5x+14-(3x-5) so so so For this its subtraction expressions
Answers
Answer:
2x+19
Step-by-step explanation:
5x+14-(3x-5)
2x+14+5
2x+19
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answers
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help
Answers
Because we know that a mule can carry ≈13kgs and each pole is 4.5 kg, so we do:
13/4.5≈ 2.88888889...≈ 3 wooden posts.
Answer:
14
Step-by-step explanation:
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answers
Answer:
yoi
Step-by-step explanation:
yoi
(cosA+sinA)
2
+(sinA−cosA)
2
=2
Answers
Answer:
Here we want to solve:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
First, remember the two expansions:
(a + b)^2 = a^2 + 2*a*b + b^2
(a - b)^2 = a^2 - 2*a*b - b^2
Using these relations, we can expand:
(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2
( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2
Replacing that in our equation, we geT:
(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2
We can simplify this to get:
2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2
2*cos(A)^2 + 2*sin(A)^2 = 2
We can take the 2 as a common factor to get:
2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2
Now we can divide both sides by 2:
2*( cos(A)^2 + sin(A)^2)/2 = 2/2
cos(A)^2 + sin(A)^2 = 1
And this is a trigonometric property that is true for any value of A.
So the equality:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
is true for any real value of A.
hurry plzzzzzzzzzzzzzzzz
Answers
Answer:
D
Step-by-step explanation:
Which angles are vertical angles?
Answers
Answer:
<BFC and <DCA
Step-by-step explanation:
Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
Pythagorean Theorem finding value in x
Answers
Answer:
14.4 is the value of x in the nearest tenth
Step-by-step explanation:
c^2=a^2+b^2
Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?
Answers
Answer:
Option B, the y-intercept changes
Explanation:
This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.
Hope this helps!
Is this correct??????????
Answers
Answer:
looks right
Step-by-step explanation:
can you pls help me i reallly need it
Answers
Answer:
D
Step-by-step explanation:
$49 one time payment so it is added.
$25 per month and he pays for a year(12 months) = 12 times 25
$49 + (12 × 25)
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Tell whether the angles are adjacent or vertical. Then find the value
of x. i will mark brainliest!
Answers
3x-4= 107
-4. -4
3x= 103
/3. /3
X= 34.333333
GUYS AND GIRLS PLEASE HELP ASAAPPP
Answers
Answer:
I feel like its 8, but correct me if I'm wrong I'm not 100 percent sure!
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
(0, 10)
-----------------
How many times larger is 3 x 10^8 than 3 x 10^2
A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10
Answers
Answer:
Your answer is C
Step-by-step explanation:
You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.
Describe the transformation (s) (x, y) ----> (x + 2, y - 3)
Answers
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to describe transformation
As we can see, we added a value to the initial x and subtracted a value from the initial y
By adding to the initial x value, we are simply moving towards the right of the coordinate plane i.e we move towards the positive x axis
for the y axis value, we made a subtraction
what this mean is that we are actually going towards the negative y axis
So we move right on the positive x axis and move downwards to the negative y axis
A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000
Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a function is discontinuous, categorize it based on the type of discontinuity it exhibits.
Answers
Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
Continuous: g(x) and j(x), Removable: h(x) and m(x), Infinite: f(x) and i(x) and k(x) & Jump: l(x)
What is the type of functions?A function is a relation among a fixed of inputs and a fixed of permissible outputs with the belonging that each input is associated with exactly one output. permit A & B to be any non-empty units, mapping from A to B might be a feature most effective while every detail in set A has one give up handiest one picture in the set.
The eight sorts are linear, strength, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.
One to 1 characteristic or one to at least one mapping states that each detail of one set, say Set is mapped with a completely unique element of another set, say, Set in which A and B are distinctive units.
f(x) = f(y) implies x then f is one to at least one.
Learn more about functions here:-https://brainly.com/question/6561461
#SPJ2
Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answers
Answer:
The answer is C!
Step-by-step explanation:
n! = 120
n = 5
Answer:
c 5
Step-by-step explanation:
Took the test