Answer:
because cosine dependency on sine - 1
Step-by-step explanation:
The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.
a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.
Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.
So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:
The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!
Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.
The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.
Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC
a. SAS
b. AA
c. SSS
d. AAS
Answer:
if B is AAA then that is correct
Step-by-step explanation:
find the area of the figure please <3
Please help with this
Answer:
A. x = 5, -3
Step-by-step explanation:
The quadratic equation/formula is:
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4x^2 - 8x -60=0[/tex]
Plug in the numbers according to the letter associated:
[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]
[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]
[tex]x = \frac{8+-32}{8}[/tex]
Solve for addition and subtraction:
[tex]x = \frac{8+32}{8}[/tex] [tex]x = \frac{8-32}{8}[/tex]
[tex]x = \frac{40}{8}[/tex] [tex]x = \frac{-24}{8}[/tex]
x = 5 x = -3
For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range
Answer:
domain: {2, -1, 1}
range: {3, 4 6}
Step-by-step explanation:
In the relation of the form (x,y)
Set of all possible value of X is called Domain
Set of all possible value of Y is called Range
To get a list of domain and range it is required to separate value of x and y
_________________________________
Relation given in the problem
S:{(2,3),(−1,4), (1,6)}
domain: {2, -1, 1}
range: {3, 4 6}
Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)
I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.
Solve for the slope using the given values.
Slope formula: y2-y1/x2-x1
= 8-5/5-0
= 3/5
Point slope form: y - y1 = m(x - x1)
Using the point (5, 8) and the slope (3/5), it should look like:
y - 8 = 3/5(x - 5)
Best of Luck!
I need the answer ASAP! Thanks! ❤️
help asap will mark brainliest
Answer:
74
Step-by-step explanation:
Both angles x and 106 are supplementary which means
x+106=180
x=180-106
x=74
Answer:
74°
Step-by-step explanation:
In the image you have provided, angle 'x' and 106° are co-interior angles. This mean that both the angles add up to 180°. We can easily identify co-interior angles because the angles would be inside. The other types of angles you can get is vertical and corresponding. Using the information in the second sentence we can set up an equation,
⇒ Form an equation
→ x + 106 = 180
⇒ Minus 106 from both sides to isolate x
→ x = 74°
The values of angle x is 74°
Help! I don't know how to do this! I will mark Brainliest!
Answer:
- 3y² - 7y + 6
Step-by-step explanation:
Given
(- 3y + 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis
= - 3y² - 9y + 2y + 6 ← collect like terms
= - 3y² - 7y + 6
Answer:
is it A?
Step-by-step explanation:
i choose that because its the only one with -3y² which is correct
Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?
Hey there! Welcome to Brainly! I'm happy to help you!
When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.
h=10 (the height is 10)
b=h/2 (base is half as long as the height)
We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!
b=10/2
b=5
So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!
10(5)=50
Therefore, the area of the sticker is 50 cm².
I hope that this helps! Have a wonderful day!
You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?
Answer: On loan of $5000 at that rate, you would be owing $9400
Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.
Hence, the formula for a simple interest computation is given as follows;
Interest = P x R x T
Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)
Interest = 5000 x 0.22 x 4
Interest = 20000 x 0.22
Interest = 4400
Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.
Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)
(A) 10
(B) 8
(C) 16
(D) 3
Answer:
8
Step-by-step explanation:
10 to big 16 to large 3 to small 8 just right
Complete the statement with the choice that best
describes the relationship between the polynomial
and its rational zeroes.
A polynomial, P, has a leading coefficient of 1 and
a constant term. The rational roots of Pare all
Answer:
Factors of the constant term
Step-by-step explanation:
the answer is "factors of the constant term"! i hope this helped
just some math :> and meh needs halp
Answer:16
Step-by-step explanation:
5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six
need help
ASAP will give 20 points!
Answer:
141
Step-by-step explanation:
24 (triangle) + 117 (trapezoid)
Answer:
141
Step-by-step explanation:
Trapezium + triangle
[½ × (16+10) × 9] + [½ × 6 × 8]
117 + 24
141 in²
Someone please explain these questions
Answer: You find it by using slope
Step-by-step explanation
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.
Which tables display linear functions? Check all that apply.
Answer:
A,D, First and Last
Step-by-step explanation:
Answer:
All boxes but the top right box are linear.
Type the correct answer in the box. Use numerals instead of words.
Jim Is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits
on the website for 5 weeks is given in the table below.
Number of Weeks Avg. Number of Visits
0
48,000
1
24,000
2
12,000
3
6,000
4
3,000
1,500
5
9.
The percent decrease in the average number of visits each week since the end of the season was
Answer:50%
Step-by-step explanation:
Each week the number decreased by 1/2 which is equal to 50%. Therefore the average number of decrease per week is 50%. Hope this helped!!
could I by any chance get a brainliest?
The percent decrease in the average number of visits each week since the end of the season was 50%.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends.
The average number of visits on the website for 5 weeks is given
The average number of visits decreased by half each week.
So the percent decrease in the average number of visits each week since the end of the season was 50%
Therefore, the percent decrease in the average number of visits each week since the end of the season was 50%.
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It's Quadratic, Exponential or Linear?
Answer:
quadratic table
Answer:
i think it is exponential
Find the area. Will mark brainliest.
Answer:
337.5
Step-by-step explanation:
You need to add 10 to the height then multiply 25 times 27 then divide by 2.
Hope this helps.
Answer:
212.5 cm² and 120 in²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
(4)
Here b = 25 and h = 17, thus
A = 0.5 × 25 × 17 = 212.5 cm²
(5)
Here b = 12 and h = 20, thus
A = 0.5 × 12 × 20 = 6 × 20 = 120 in²
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.
144π mm3
168π mm3
312π mm3
456π mm3
Answer:
312π mm3
Step-by-step explanation: yes
The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct
The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.
Volume is defined as the ratio of the mass of an object to its density.
Volume of composite figure = Volume of semi-sphere + Volume of cone
= 2/3πr³ + 1/3πr²h
= 2/3*6³π + 1/3*6²*14π
= 312π mm³
Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.
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To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi.
Answer:27.7
Step-by-step explanation:
the formula for a cone is V=1/3πr*2h
it is 1/3 because a cone is one-third of a sphere.
you then put the information from the text in the formula and you get this
V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)
then you get the answer 27.6948
round to the nearest 10th and you get
A. 27.7
Also, I took the test.
There are 27.77 in³ of frosting is in the bag.
What is volume?The amount of space, measured in cubic units, that an object or substance occupies.
Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.
Volume of cone = ¹/₃πr²h
r = 4.2/2 = 2.1 in
h = 6 in
Volume = ¹/₃x2.1x2.1x6
= 27.77
Hence, the volume of the cone is 27.77 in³
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Somebody help I’ve tried this question many times and still get it wrong
Answer:
$480 in interest to make a total of $1,480. She will not have enough money
Step-by-step explanation:
I=P.r.t
=1000*0.02*24
=$480
Total after 2 years: 1000+480=$1,480
whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1
Answer:
Mean Absolute Deviation (MAD): 0.75
Step-by-step explanation:
Total numbers: 8
Mean: 2
Mean absolute deviation: 0.75
Put in order rational numbers
Answer:
[tex]-\frac{26}{40}[/tex]
[tex]-\frac{9}{20}[/tex]
[tex]\frac{12}{25}[/tex]
Step-by-step explanation:
Divide each individually.
[tex]-\frac{9}{20}=-0.45[/tex]
[tex]\frac{12}{25}= 0.48[/tex]
[tex]-\frac{26}{40}=-0.65[/tex]
Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48
what is the volume of the figure below.
Answer:
146,452
Step-by-step explanation:
Which equation is graphed along with the parent
function?
g(x)= ^3 √x+3 +4
g(x)= ^3 √x-3 +4
g(x)= ^3 √x-4 +3
g(x)= ^3 √x+4 +3
Answer:
B.g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
Step-by-step explanation:
Equation, graphed along with the parent function is g(x) = ∛(x-3) + 4
The correct option is B.
What is graph of a function?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x).
Given,
Graph of a parent function
and equation is graphed along with the parent function
Parent function
f(x) = ∛x
By the graph,
There is 3 unit horizontal shift to positive side, and 4 unit vertical shift to upwards in parent function
Thus, function drawn along with it is
g(x) = ∛(x-3) + 4
Hence, g(x) = ∛(x-3) + 4 is the equation, graphed along with the parent
function.
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which expression can be used to find the value of x in the triangle shown part b write the value of x to the nearest tenth?
Answer:
where is the image?
Step-by-step explanation:
Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender
The question is incomplete, so here is the complete question.
Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer and Step-by-step explanation:
Part A:
Romanticism Gothic Total
Males 48 63 111
Females 59 62 121
Total 107 125 232
Part B: The preferred style is Gothic by a percentage of
P = [tex]\frac{125}{232}[/tex]
P = 54%
Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.
Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.
What represents the product of x AND y + 4?
xy+4x
xy+4
x+y+4
x+4y
Answer: A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
hope this helps! :)
Answer:
A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
Find the midpoint between the points (-6, -2) and (-3, -7)
Answer:
(-4.5, -4.5)
Step-by-step explanation:
To find the midpoint add the x coordinates and divide by 2
(-6+-3)/2 = -9/2 = -4.5
Then add the y coordinates and divide by 2
(-2+-7)/2 = -9/2 = -4.5
