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
Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.
Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.
number of weeks: w is the x value, and the number of money saved: m is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)
Anyone know the answer?
Answer:
kira put the points in the wrong places
(5x + 2) 6x
Solve for x and y
X =
y =
Answer:
x = 8
y = 138
Step-by-step explanation:
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
can anyone help me with this one...
A package of cookies includes 54 chocolate chip cookies. Peter is going to split these cookies with 4 of his friends. Write an expression to represent the situation.
Please help!!!...
Answer:
13 and a half
Step-by-step explanation:
54 / 4 simple math honey, let me know if you need more help my door is always open!
An expression to represent the situation is 54/4.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, a package of cookies includes 54 chocolate chip cookies.
Peter is going to split these cookies with 4 of his friends.
So, the expression is Total number of cookies/Number of friends
= 54/4
= 13.5
Therefore, an expression to represent the situation is 54/4.
To learn more about an expression visit;
https://brainly.com/question/28170201.
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Which equation has a constant of proportionality equal to 1/2?
Answer:
y=1/2x or y=.5x
Step-by-step explanation:
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:
Answer:
C
Step-by-step explanation:
3/6 = 1/2 when simplified.
Free Brainlyest for who says bababoi first
Answer:
bababoi .. yay I did something
Answer:
bababoi
Step-by-step explanation:
bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi
In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out
Complete question is;
In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.
How much money should be in the account using the FV formula?
Answer:
FV = $107.78
Step-by-step explanation:
We are given;
Present value; PV = 100
Interest rate; r = 0.25% = 0.0025
We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .
This is a period of 30 years.
Thus, the number of compounding periods is n = 30
Formula for FV is;
FV = PV(1 + r)ⁿ
FV = 100(1 + 0.0025)^(30)
FV = $107.78
What is the value of -16 divided by 2.5
PLEASE HELP ASAP
Use trigonometry to resolve the following vectors into components. Describe the vectors
using vector notation.
Which is the coefficient in the expression 7 + 14?
2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = -4(x - 2)(x - 4) [/tex]
[tex]y = -4 {x}^{2} + 24x - 32 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The expression for the quadratic function will be y = -4x² + 24x - 32.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-
The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).
y = -4(x-2)(x-4)
y = -4x² + 24x - 32.
Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.
To know more about quadratic equations follow
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What is mA?
Enter your answer in the box.
Answer:
X=3.75
Step-by-step explanation:
A=24.25
I guess
Which of the following numbers of identical kits can Ms. Tyson make?
Answer:
answer is 1, 2, 6
Step-by-step explanation:
Answer:
1,2, and 6
Step-by-step explanation:
Which statement describes how to determine it a relation given in a table is a function?
If none of the outy values are repeated, the relation is a function.
It none of the input values are repeated, the relation is a function
If any of the input values are equal to the output values, the relation is a function
It all the output values are paired with the same input value, the relation is a function.
WILL GIVE BRANLIEST
Answer:
all of the above
Step-by-step explanation:
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows
1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month.
How many months ( ) m does the zookeeper need to wait for the two snakes to be the
same length?
i really need to know this. my nine weeks ends tomorrow and im behind in math. plzzzzzzzzzzzzz answer this plz, i beg of you
for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is
What is the blank answer?
Answer:
you.. need to provide a picture
Step-by-step explanation:
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Answer:
its A
Step-by-step explanation:
please help i’m begging you i’ll give brainlu
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
Help plssssssssssssssss
Answer:
less than 5
Step-by-step explanation:
im pretty sure
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)
Answer:
It’s the 2nd,3rd,and 4th
Step-by-step explanation:
I just took the quiz
Answer:
2,3,4
Step-by-step explanation:
Enter the decimal represented by the shaded square.
The shaded square represents
Answer: the shaded squares are equal to 0.3
I need help solving this
Answer:
It's D.
Step-by-step explanation:
31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31
Answer:
D) 31
Step-by-step explanation:.
It is a right angle. All right angles equal 90°. So the two angles add up to 90
90= 63 + x - 4
Add 4 to each side
94 = 63 + x
Subtract 63 to each side
31 = x