BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
what is difference between applied force and normal force?
Answer:
An applied force is a force that is applied to an object by a person or another object. If a person is pushing a desk across the room, then there is an applied force acting upon the object. The normal force is the support force exerted upon an object that is in contact with another stable object.
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
ill mark you brailiest
Answer:
According to this author, the stories about Nancy Hart
✔ likely have some basis in truth
.
As a result, they are
✔ very important
to the study of Georgia’s past
Step-by-step explanation:
I just took it on Edge 2020
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.
Answer:
The answer is 56
Step-by-step explanation:
The equation is Y=56x+4 I think
The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
Given that, bus X travels 224 miles in 4 hours.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The coordinate points of a line from the given graph are (4, 224) and (1, 56).
Here, slope (m) = (56-224)/(1-4)
= -168/(-3)
= 168/3
= 56
Put m=56 and (x, y)=(4, 224) in y=mx+c, we get
224=56(4)+c
⇒ c=0
Substitute m=56 and c=0 in y=mx+c, we get
y=56x+0
⇒ y=56x
Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
John has $200 in his bank account he made a purchase at the grocery store that was $1.50 more than he had in his bank account select the point on the number line that represents the balance of his bank account after buying groceries.
Answer: You are right
Step-by-step explanation:
The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t
Answer:
503 should be the answer
Step-by-step explanation:
Answer:
i think its 503
Step-by-step explanation:
242 multiplied by 0.09 = 21.78
21.78 multiplied by 12 = 261.36
added by 242 = 503.36
Andy is scuba diving. He starts at sea level and descends 10 feet in 2 1/2 minutes. If it continues this rate, where will Andy be in relation to sea level after 6 minutes?
Answer:
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Mindy has 5 blue markers, 3 pink markers, and 4 green markers.
What is the probability she draws a blue marker, puts it on the table, and draws another blue marker?
Answer:
4/12 and 3/12
the simplified version is 1/3 and 1/4
Step-by-step explanation:
If the Washington Monument is 3025 square feet and an average gallon of paint covers 400 square feet, how much paint would it take to cover it all up? PLEASE HELP WILL GIVE BRAINLIEST. I’m also wondering how I would go about solving this? I have a lot more.
Divide total area by area of a gallon of paint:
3025 / 400 = 7.56
Because there is a decimal answer you need to round up tot he next whole number.
You would need 8 gallons of paint.
5.) A car dealership has hired you to determine how many sales they can make based on how many flash sales they have in a quarter. You're able to determine that the data has a strongly linear positive association and a correlation value of r= 0.86. How should you state your findings?
OA. As the number of flash sales per quarter increases, car sales tend to increase.
OB. A dealership that sells more cars is probably holding more flash sales.
OC. Flash sales are proven to increase the number of car sales.
OD. Flash sales increase customer traffic, which will naturally lead to more vehicle sales.
Answer:
its B
Step-by-step explanation:
sorry if its wrong
Hotdogs are sold in packages The graph below shows the total number of hotdogs sold relative to the number of packages what does the point (4,2) mean in the context of the situation
Answer:
do you still need help
Step-by-step explanation:
to this question
Answer:
C
Step-by-step explanation:
I need a girl and yes I understand I’m on the wrong website please don’t report smh
Answer:
lol, what for?
Step-by-step explanation:
Answer:
So the answer would be B.
Step-by-step explanation:
This is not the right site like you said also no one knows your age or what you look like so good luck buddy.
If f(x) = 4x^5 + 5x^3 +3, then what is the remainder when f(x) is divided by
X+2?
Answer: x2 + 4x + 9 on top, with a remainder of r(x) = 30
Step-by-step explanation:
The remainder of the division of the given polynomial by (x +2) is; -165.
What is the remainder of the division of the Polynomial by (x -2)?It follows from the task content that the remainder of the polynomial division is required.
On this note, the remainder of the division is the f(x) at x= -2.
f(-2) = 4(-2)⁵ + 5(-2)³ +3 = 4(-32) + 5(-8) + 3
f(-2) = -165.
Read more on remainder from polynomial division;
https://brainly.com/question/24662212
Shirley can sew a skirt in 0.8 hours. To the nearest tenth, how many skirts could she make in 10.08 hours
Answer:
12.6
Step-by-step explanation:
10.08/.8 = 12.6, dividing the amount of time by the amount of time to make a skirt to get the number of skirts she can make
Find the value of the expression. x + y + 5 where x = 3 and y = 4
Answer:
12
Step-by-step explanation:
Which table shows a proportional relationship?
Answer:Option 2
Step-by-step explanation:
50 points for a person who do all of this or more Exponent law
Answer: 4*4^2= 64
text me on brainly fo the other answer i don't have time
Step-by-step explanation:
- 2x² + 9x + 15 = 0
Answer:
x1= -1.29436 x2= 5.79436
Step-by-step explanation:
Find the value of x. Then find the measure of each labeled angle.
Answer:
1. 70
2. 30
Step-by-step explanation:
ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.
Select the correct answer. Kylie has finished creating her résumé. What should be her final step to complete the résumé? A. include a photograph B. include her contact details C. proofread the document D. mention her age
Answer:
C. Proofread the document
Step-by-step explanation:
All of the other steps should have already been done when she was creating her résumé. Hope this helps!
How do you write 3.684 × 103 in standard form?
solve for x and y
x +2y= -6
-5x+4y=2
Answer:
y=1/2+5x/4
x=−6−2y
Step-by-step explanation:
i hope this helped :)
(30 points!) list the angles least to greatest
Answer:
Step-by-step explanation:
A
Answer please :) I honestly don’t know and confused
68
I think, unless if it is multiplied =48
Answer:
48
Step-by-step explanation:
the h value is 8, so multiply 6 and 8,
for future reference, is there is no symbol in the middle, then you always multiply it
HELP ME FIND SLOPE RATE CHANGE WILL GIVE BRAINLIEST
Answer:
1. RS= slope of 5/2
2. Pt= slope of -6/1 or -6
3.PQ= slope of 1/5
4. TS=slope of 0
5. QR= slope of -1/2
Step-by-step explanation:
Rise / run then simplify
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
Use the variable, n, to write an expression for seven less than a number.
Answer:
n-7 would be the equation
Answer:
n - 7
Step-by-step explanation:
n - 7
Help me please pleasessssss
