Answers
The values of the trigonometry formulas are sin(240) = -sin(60), cos(225) = -cos(45) and tan(225) = tan(45)
How to determine the values of the trigonometry formulas?The trigonometry ratios are given as
sin(180 - ∅) = sin(∅)
cos(180 - ∅) = -cos(∅)
tan(180 - ∅) = -tan(∅)
Also, we have the following trigonometry ratios are given as
sin(180 + ∅) = -sin(∅)
cos(180 + ∅) = -cos(∅)
tan(180 + ∅) = tan(∅)
Using the above trigonometry ratios, we have
sin(240) = sin(180 + 60)
By comparison, we have
sin(240) = sin(180 + 60)
sin(180 + ∅) = -sin(∅)
This gives
∅ = 60
So, we have
sin(180 + 60) = -sin(60)
Evaluate
sin(240) = -sin(60)
Using the above trigonometry ratios, we have
cos(225) = cos(180 + 45)
By comparison, we have
cos(225) = cos(180 + 45)
cos(180 + ∅) = -cos(∅)
This gives
∅ = 45
So, we have
cos(180 + 45) = -cos(45)
Evaluate
cos(225) = -cos(45)
Using the above trigonometry ratios, we have
tan(225) = tan(180 + 45)
By comparison, we have
tan(225) = tan(180 + 45)
tan(180 + ∅) = tan(∅)
This gives
∅ = 45
So, we have
tan(180 + 45) = tan(45)
Evaluate
tan(225) = tan(45)
Hence, the value is tan(225) = tan(45)
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Related Questions
*WILL GIVE BRAINLIEST* Hi, I need help answering questions about the graph attached!
*ATTACHED ALREADY* Use Desmos to graph the following function :f(x)=2 sinx.
Use your graph to come up with a few solutions for the equation 2 sin〖x=2.〗
Are there more solutions than the ones on the graph? Explain.
Answers
The general solution of the function, y = sin(x), can be found by using the measure of the angles that have sines which equals 0 as follows;
x = -(2•π•n - π) and x = 2•π•nWhat is a general solution of a function?A general solution of a trigonometric function gives all possible solutions of the trigonometric functions and comprises of the integer n.
The given function is presented as follows;
f(x) = 2•sin(x)
The solution of the function is given by the point where f(x) = 0 as follows;
When f(x) = 0
2•sin(x) = 0
Therefore;
sin(x) = 0
Therefore;
x = arcsin(0)
sin(2•π) = 0
sin(π) = 0
Therefore, the solution is the set of whole number multiples of pi
Which gives;
x = -(2•π•n - π) and x = 2•π•n
Please find attached the graph of the function created with the required application.
From the graph of the function, we have that the graph crosses the x–axis at points -π, 0, π, ..., which are multiples of π
The general solution to the function f(x) = sin(x) is therefore;
x = -(2•π•n - π) and x = 2•π•n
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I need help with number 4 mostly
Answers
Answer:
815/99 (fraction); 8 23/99 (mixed number)
Step-by-step explanation:
the fraction for 0.23 repeating is 23/99
you add 8 in front of it
8 23/99 is the mixed number version
for the fraction version you must multiply 99 to 8 and then add it to 23
8 * 99 = 792
792 + 23 = 815
so
the fraction is 815/99
Which of the following can always be inscribed in a circle?A triangleA rhombusA trapezoidA pentagon
Answers
Answer: Triangle
Reason:
A circle that goes through all three vertices of a triangle is known as the circumcircle. Every triangle has such a circle, which is why we can inscribe a triangle inside a circle.
What can you say about the continuous function that generated the following table of values? X -3 0 1 5 11 y 4 -3 2 0 7 A. the function has exactly one x-intercept OB. the function has more than one x-intercept O C. the function has no x-intercepts D. not enough information to answer the question
Answers
The continuous function that generated the following table of values is has more than one x-intecept.
What is continuous function ?A continuous function is one whose graph is continuous throughout without any interruptions or leaps, as the name suggests. In other words, we claim that a function is continuous if we are able to draw its curve (graph) without ever picking up the pencil. Calculus students must learn about a function's continuity because without it, a function cannot be differentiable.
Table
x y
-3 4
0 -3
1 -2
5 0
11 7
An x-intercept results whenever the function crosses the x-axis and changes sign. Additionally, when the function's value is zero, it acts as an x-intercept.
In the tables, there are two sign changes (from +4 to -3 and from -3 to +2). It also has one value of zero, and this function has a minimum of three x-intercepts. Therefore, you can infer that the choid b is accurate.
The function has more than one x-intecept.
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Write the augmented matrix for the following system of equations.
x = 2y + 1
-4-5x + 8y + 2z = 0
-5 = -4y - z
Answers
The augmented matrix for the system of equations is [tex]\left[\begin{array}{ccc}\frac{6}{5} \\\frac{1}{10} \\\frac{23}{5} \end{array}\right][/tex]
What is matrix ?A matrix is a rectangular array or table where data is organized into rows and columns, and "matrixes" is the plural version of matrix. It doesn't matter how many columns and rows they have. Matrices can be used for a variety of operations, including addition, multiplication, transposition, and scalar multiplication. When executing these matrix operations, certain guidelines must be followed. For example, matrices can be added to or subtracted from if only their rows and columns are the same, whereas they can be multiplied if only their first and second sets of columns are exactly the same.
A =[tex]\left[\begin{array}{ccc}1&-2&0\\-5&8&2\\0&4&1\end{array}\right] \left[\begin{array}{ccc}X\\Y\\Z\end{array}\right] =\left[\begin{array}{ccc}1\\4\\5\end{array}\right][/tex]
Ax = B
multiply by [tex]A^{-1}[/tex] to both side
[tex]A^{-1}[/tex]Ax = [tex]A^{-1}[/tex]B
x = [tex]A^{-1}[/tex]B
[tex]\left[\begin{array}{ccc}0&\frac{-1}{5} &\frac{2}{5} \\\frac{-1}{2} &\frac{-1}{10} &\frac{1}{5} \\\ 2&\frac{2}{5} &\frac{2}{5} \end{array}\right][/tex]= [tex]A^{-1}[/tex]
X = [tex]\left[\begin{array}{ccc}0&\frac{-1}{5} &\frac{2}{5} \\\frac{-1}{2} &\frac{-1}{10} &\frac{1}{5} \\\ 2&\frac{2}{5} &\frac{2}{5} \end{array}\right][/tex][tex]\left[\begin{array}{ccc}1\\4\\5\end{array}\right][/tex]
X = [tex]\left[\begin{array}{ccc}\frac{6}{5} \\\frac{1}{10} \\\frac{23}{5} \end{array}\right][/tex]
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help
i give 5 stars and 30 points
Answers
Answer:
Step-by-step explanation:
first u add them all up 949
1080-949=131 degrees for the first 1
second one is 36.5
tell me if the answers r wrong
a crafter wants to make 20% profit on the items he makes. if the cost of materials is $1.20, what should the items sell for to make a 20% profit?
A. $1.44
B. $1.00
C. $1.24
D. $2.40
Answers
The crafter should sell the item for $1.44 to make a 20% profit
How to calculate the amount the item will be sold ?The amount of profit to be made is 20%
100% + 20%
= 120%
= 120/100
= 1.2
The amount the item can be sold can be calculated as follows
1.20 × 1.2
= 1.44
Hence the item will be sold for $1.44 to make a profit of 20%
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PLEASE ANSWER FAST ! Function g is represented by the equation g(x)= log2 (x+3)-2.
Over which interval are both functions positive?
Answers
Answer: (1, 4)
Use a grapher
i need help with my dividing please
Answers
Which table is a probability distribution table?
Answers
Answer:
a [i can not see d thought so for future can you take the full photo]
Step-by-step explanation:
y÷x
p÷x
In your office, 1⁄4 of the 24 employees eat lunch daily at a restaurant. How many employees eat at a restaurant?
Answers
Answer:
¼ × 24= 6
:- 6 employees eat at a restaurant
Step-by-step explanation:
please rate as brainliest
Answer:
6
Step-by-step explanation:
In your office, 1⁄4 of the 24 employees eat lunch daily at a restaurant. How many employees eat at a restaurant?
We need to find 1/4 of 24 employees:
because 1/4 = 0.25
0.25 × 24 = 6 employees eat out
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
Answers
The water pressure on the submerged object is given by d = P ÷ 64
Pressure is the force that is applied perpendicularly to the area across which it is applied to an object's surface (symbol: p or P).
Gauge pressure, frequently written gage pressure, is the measurement of pressure in proportion to the atmosphere.
Various units are used to express pressure.
The pound-force per square inch (psi), which is equivalent to one newton per square meter (N/m2) in the SI, is the standard unit of pressure in the imperial and American customary systems.
A unit of force is divided by a unit of area to arrive at some of these findings.
a. The given formula is is P=64d
or , d = P ÷ 64
b. at a pressure of 672
d = 672 ÷ 64
or, d = 10.5 feet
Therefore the pressure is 672 pounds per square foot at a depth of 10.5 feet.
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to make one cup of hot chocolate, 1 1/2 tablespoons of hot cocoa mix must be used. if a snack bar wants to make 70 cups of hot chocolate, how much mix will they need?
Answers
Given:
1 cup of hot chocolate = 1½ tablespoons of cocoa mix.
70 cups of hot chocolate = x tablespoons of cocoa mix.
Note that 1½ = 1.5
Let's find how much mix will they need below:
[tex]\begin{gathered} \frac{1}{1.5}=\frac{70}{x} \\ \text{Cross multiply} \\ x\text{ = 70 }\ast\text{ 1.5 } \\ \text{ = }105 \end{gathered}[/tex]Therefore the amount of hot cocoa mix they will need is 105 tablespoons
ANSWER:
105 tablespoons of hot cocoa mix
3. A box contains 6 blue balls and 4 red balls. Two balls are drawn from the box, one after the other, with replacement. Determine the probability that one of the balls is red, and the other ball is blue. Give your answer as a decimal rounded to the nearest hundredth. (2 marks) 4/10 .40 4. The probability that Andrew's mother will serve rice with dinner is 0.78. The probability that she will serve carrots is with dinner is 0.30. The probability that she will serve neither rice nor carrots is 0.14.
Answers
The given
The probability of serving rice with dinner
[tex]P(A)=0.78[/tex]The probability of serving carrots with dinner
[tex]P(B)=0.30[/tex]The probability of serving neither rice nor carrot is
[tex]P(A^{\prime}\cap B^{\prime})=0.14[/tex]The ven diagram is
2)
The probability of serving both rice and carrot is
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]Recall that
[tex]P\mleft(AUB\mright)=1-P(A^{\prime}\cap B^{\prime})[/tex]Substitute the values, we get
[tex]P\mleft(AUB\mright)=1-0.14[/tex][tex]P\mleft(AUB\mright)=0.86[/tex]The table represents a quadratic function. Write an equation of the function in standard form.
-9-7-5-3
0 8 8
X
y
y=0
Previous
1 2
0
30
4
32
5
6
7
10
Next
Answers
The quadratic equation is of the form y = ax² + bx + c
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree just 2, or simply known as a quadratic.
x is the only variable. A parabola with its axis of symmetry parallel to the y-axis represents the graph of a univariate quadratic function, as seen to the right.A quadratic equation is produced if the quadratic function is set to zero. The roots of an univariate function are the solutions to the univariate equation.When authors speak to a quadratic polynomial, they may mean "having degree exactly 2" or "having degree at most 2". If the degree is less than 2, this scenario may be referred to as a "degenerate case." Which of the two is intended will typically depend on the context.In some circumstances, like in the instance of a second-order polynomial, the word "order" is used to denote "degree." The word "degree of a polynomial" refers to the highest degree of a non-zero term in a polynomial, whereas the term "order" typically refers to the lowest degree of a non-zero term in a power series.Complete question: The table represents a quadratic function. Write an equation of the function in standard form.
[tex]$$\begin{array}{lllll}x & -9 & -7 & -5 & -3\end{array}$$$\begin{array}{lllll}y & 0 & 8 & 8 & 0\end{array}$[/tex]
y=
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Diego drew a scale drawing of the elementary school. The scale he used was 9 millimeters : 4 meters. In the drawing, the schoolyard is 324 millimeters long. What is the length of the actual schoolyard?
Answers
The length of the actual schoolyard given the scale is 144 meters
What is the length of the actual schoolyard?A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. The scale drawing is usually reduced at a constant dimension using a scale. A scale is the ratio of the dimensions of the scale drawing and the dimensions of the original image.
Length of the actual schoolyard = (length of the school yard x scale of the schoolyard) / scale of the drawing
(324 x 4) / 9 = 144 meters
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all you need is in the photo please answer fast
Answers
Explanation:
The steps to construct an inscribed square are:
0. Draw the diameter of the circle
,1. Place the compass on the point where the circle and diameter intersect
,2. Swing an arc the length of the radius from the point on the circle
,3. Repeat 2 and 3 for the other intersection point
,4. Draw a line through the intersections of the arcs from the previous steps
,5. Draw lines between the points on the circle
The step from the options that's not here is swing two arcs above and below the diameter
Answer:
Swing two arcs above and below the diameter
Express the product of Prime factor of 17325
Answers
Answer: 3 x 3 x 5 x 5 x 7 x 11.
Step-by-step explanation:
Prime Factors of 17325 are 3, 5, 7, 11, and usually expressed as 3 x 3 x 5 x 5 x 7 x 11.
Number 12 I don’t get it y’all know ?
Answers
Answer: - 18
Step-by-step explanation:
-216 divided by 12 = - 18
(there are 12 months)
Explain why when multiplying powers you add rather than multiply the exponents.
Answers
It should be noted that when multiplying powers you add rather than multiply the exponents in order to give an accurate value as multiplication do powers means the addition of the powers.
How to illustrate the information?Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bⁿ and is pronounced as "b to the n."
Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.
For example 3⁴ × 3² will be 3^6 rather than 3^8.
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Every quart is 2 pints. This can be expressed using the equation y × 2 = Z, where y is equal to the number of quarts and Z is equal to the total number of pints. Using this equation find the total pints in 10 quarts._____ pints
Answers
Given data:
The expression for the total nummber of pints is Z=yx2.
The given value of y is,
y=10 quarts.
Substitute the given values in the aabove expression.
Z=10x2
=20 pints.
Thus, the total pints is 20
What is the value of X makes this addition sentence true?
X=903+0
Answers
The value of X for which expression X = 903 + 0 is true, is;
⇒ X = 903
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is;
X = 903 + 0
Now,
When we add 0 is any number then the result is same number.
So, Solve the expression as;
X = 903 + 0
X = 903
Thus, The value of X for which expression X = 903 + 0 is true, is;
⇒ X = 903
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I just need to know the answer
Answers
Since the area of the solution is below the x-axis, and includes the line.
y ≤ 0
Line/has the equation y=1/3x. Find the equation of the image of/ after a dilation with a scale factor of 1/2, centered at the origin
Answers
The correct answer is 1/3x
Option B is the correct answer
13. An increase of speed of 4 km/h on a journey of 32 km reduces
the time taken by 4 hours. Find the original speed.
Answers
Answer:
What is the role of ethnocentrism in defining the concept of “progress”
Step-by-step explanation:
Shelia is playing a game with a 6-sided number cube. The number rolled determines the number spaces moved
Answers
Sheila's mapping diagram doesn't represent a function because it includes the points (3, 6) and (3, 6) and fails the vertical line test.
What is a mapping diagram?An illustration of two circles that depicts the relationship between input and output values is known as a mapping diagram. By drawing an arrow from one x-value to its corresponding y-value, the x-values (inputs) in the image are transferred to the y-values (outputs).
It does not represent a function because the same input value, 3, is mapped to more than one output value, 3 and 6. Her relation has the following ordered pairs: (1, 1), (2, 2), (3, 3), (3, 6), (4, 4), 5, 5), and (6, 6). Since both (3, 3) and (3, 6) have the same x-coordinate, the relation fails the vertical line test and is not a function.
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Sheila is playing a game with a 6-sided number cube. The number rolled determines the number of spaces moved. However, if a 3 is rolled, the player can choose to move 3 or 6 spaces. This mapping diagram shows the inputs and outputs for Sheila's game.
Does Sheila's mapping diagram represent a function? Why or why not?
Kayak wants to find 2 2/3 divided (- 1 3/7). She first rewrites the division as (2 2/3) ( 1 7/3)
Answers
Using fraction multiplication, the answer of 2 2/3 divided by -1 3/7 is [tex]\frac{-4}{5}[/tex]
What does multiplication in mathematics mean?It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then means that 3 gets multiplied by itself twice, meaning 3 + 3 = 6.
Given,
we are to divide 2 2/3 by -1 3/7
[tex]\frac{8}{3}[/tex] × [tex]\frac{-3}{10}[/tex]
⇒ [tex]\frac{-4}{5}[/tex]
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PLEASE HELP ME SOLVE THIS PROBLEM
Answers
Answer
Explanation
We can approximate the distribution to the normal distribution.
As we know the mean of the sample and standard deviation of the population
Find the slope of the line that passes through the pair of points.
(-3, 5), (3, 6)
Answers
The slope of the line passing through the given pair of points would be [tex]m=\frac{1}{6}[/tex].
Hope this helps!
PLEASE HELP ME I was sick today and missed out on class and I don’t understand this question
Answers
Answer:
Step-by-step explanation:
Transversal or Corresponding angles
x=5
Answer:
a: alternate angle
Step-by-step explanation:
alternative relation