When is it necessary to use three points to name an angle? If CP bisects and DPB , what is the measure of angle CPB?
Answers
In geometry, three points are used to name an angle when there are multiple angles that share the same vertex. If CP bisects angle DPB, angle CPB is divided into two equal angles, and the measure of angle CPB is half of the measure of angle DPB.
Explanation:In geometry, it is necessary to use three points to name an angle when there are multiple angles that share the same vertex. By using three points, we can clearly identify which angle we are referring to. In this case, if CP bisects angle DPB, it means that angle CPB is divided into two equal angles, and CP is one of the dividing lines. Therefore, the measure of angle CPB is half of the measure of angle DPB.
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Related Questions
A builder wants to build a diagonal beam across a decorative window. If the window is 3 feet by 5 feet, then to the nearest hundredth, how long is the diagonal?
Answers
So 3²+5² is 34
And the square root of 34 is about 5.83
3² + 5² ≈ 5.83²
Hope that helps :)
Answer:
12 square feet
Step-by-step explanation:
how do i find the degree of x and y?
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and what is "y"? well, y = 60 - 4x.
Use the graph below to answer the question that follows:
What trigonometric function represents the graph? (6 points)
Select one:
a. f(x) = −3 sin(x − pi over 2 )
b. f(x) = −3 cos(x − pi over 2 )
c. f(x) = 3 cos(x − pi over 2 )
d. f(x) = 3 sin(x − pi over 2 )
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[tex]if\ x=0\ then \\ a)f(x)=-3*sin(-\dfrac{\pi}{2})=-3*(-1)=3\ and\ not \ 0\\ d)f(x)=3*sin(-\dfrac{\pi}{2})=3*(-1)=-3\ and\ not \ 0\\ \\\\ if\ x= \dfrac{\pi}{2} \ then\ \\ b)f(x)=-3*cos(0)=-3\ and\ not\ 3\\ [/tex]
So answer C
The trigonometric function which represents the graph is:
c) [tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Step-by-step explanation:From the graph we may observe that when x=π/2 we have the value of the function f(x)= 3
Hence, we will check in which this point hold true:
a)
[tex]f(x)=-3\sin (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=-3\sin (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=-3\sin (0)\\\\\\f(x)=0\neq 3[/tex]
Hence, option: a is incorrect.
b)
[tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=-3\cos (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=-3\cos (0)\\\\\\f(x)=-3\neq 3[/tex]
Hence, option: b is incorrect.
d)
[tex]f(x)=3\sin (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=3\sin (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=3\sin (0)\\\\\\f(x)=0\neq 3[/tex]
Hence, option: d is incorrect.
c)
[tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=3\cos (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=3\cos (0)\\\\\\f(x)=3[/tex]
Similarly we will see that the value of this function matches all the points that on the graph.
Hence, option: c is correct.
‼️correct answer will get brainliest‼️
Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 85x + 15y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression. (3 points)
Part B: How many terms are in the expression, what are they, and how do you know? (4 points)
Part C: Which term in the expression shows the total earned from the dog-walking jobs? (3 points)
Answers
There are two terms in the expression: 85x and 15y
Since you are earning 15 dollars for each dog walking session, it is 15y.
2. A term is both a coefficient and a variable together. So there are two terms in this equation.
3. 85 dollars is earned for every shift for theater and 15 for every dog walking shift. So the 15y is the total earned for dog walking, where y is how many shifts Alfonso worked for.
If the correlation between variables is .60, what is the coefficient of alienation?
Answers
We can calculate the coefficient of alienation by using the following formula;
1 - r²
where r is the correlation between variables.
Coefficient of alienation = 1 - (0.60)²
= 1- 0.36
= 0.64
So, 0.64 is the coefficient of alienation when the correlation between variables is 0.60.
Give an example of a cubic function
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Final answer:
A cubic function example is f(x) = x^3, which shows a curve with odd function symmetry that decreases with negative x values and increases with positive ones.
Explanation:
An example of a cubic function would be the function f(x) = x3. This function represents a basic cubic equation where the variable x is raised to the third power, or cubed. The graph of this function is a curve that demonstrates symmetry about the origin, with the curve decreasing for negative values of x and increasing for positive values. As x is cubed, it indicates that the function has an odd function symmetry.
A club decides to sell t-shirts for $15 as a fundraiser. It cost $20 plus $9 per t-shirt to make the t-shirts. Write and solve an equation to find how many t-shirts the club needs to make and sell in order to profit at least $152?
A. 15x - (9x+20) greater than or equal to 150; x greater than or equal to 28.33
B. 15x-9x + 20 greater than or equal to 150; x greater than or equal to 20
C. (8x+20) -15x greater than or equal to 150; x greater than or equal to 20
D. 15x -9 (x+20) greater than or equal to 150;x greater than or equal to 20
Answers
Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.
Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:
150 ≤ 15x - (20 +9x)
The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,
150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.
Mathematically, what is the correct way to write a speed of 100 meters per second?
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Also note that a negative power in the numerator is equivalent to a positive in the denominator.
Example:
1/s = s^-1
1/(s^2) = s^-2
Based on this:
100 meters per seconds can be written as:
100 m/s , or
100 ms^-1
Long division 112 divided by 10 please show working out
Answers
The ratio of men to women working for a company is 7 to 5 . if there are 105 men working for the company, what is the total number of employees?
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please help thank you very much.
Answers
A rectangular garden is fenced on all sides with 160 feet of fencing. The garden is 6 feet longer than it is wide. What is the area of the garden?
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so 4x + 12 = 160 feet (now we solve for x)
4x = 148
x = 37
and since the other side is 6 ft longer we add
37 + 6 = 43
area is L x W
37 x 43 = 1591 sq ft . hope this helps
give thanks and if someone else answers give me brainliest
A group of students is counting the number of plastic bags placed in a landfill during a single day .What are the students doing?
A)collecting data
B)Drawing a conclusion
C)Stating a problem
D)Making a hypothesis
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:)
Answer:
A
Step-by-step explanation:
Please help with this question: A brick company guarantees to fill a contractor's order to within 5% accuracy. A contractor orders 1,500 bricks. Please write and solve an absolute-value equation to find the maximum and minimum number of bricks guaranteed.
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q+5/9=1/6
what is q?
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q = 1/6 - 5/9 . in order to subtract you need to find lcd
q = -7/17
hope this helps . give brainliest thanks
q+5/9=1/6
Step 1: Subtract 5/9 from both sides
q+59−59=16−59
q=−7/18 =
Answer:q=−7/18
Please help me with math question
Answers
MQ would be CQ-CM
21-17 = 4
MQ = 4
21-17 = 4
MQ = 4
The average gas mileage m in miles per gallon for a compact car is modeled by m(s) = -0.015(s - 47)^2 + 33, where s is the car's speed in miles per hour. The average gas mileage for an SUV is modeled by m(s) = -0.015(s - 47)^2 + 15. What kind of transformation describes this change, and what does this transformation mean?
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That means that the SUV does 18 miles per gallon less than the compact car.
Give three solutions to the equation y = 3 x + 4 y=3x+4 . give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
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Final answer:
To find three solutions to the equation y = 3x + 4, you can choose different values for x and calculate the corresponding values of y. Three solutions are (0, 4), (1, 7), and (-1, 1).
Explanation:
The equation y = 3x + 4 represents a linear equation in slope-intercept form, where the coefficient of x is the slope and the constant term is the y-intercept. To find three solutions to this equation, we can choose different values for x and calculate the corresponding values of y.
If x = 0, then y = 4. So one solution is (0, 4).If x = 1, then y = 7. So another solution is (1, 7).If x = -1, then y = 1. So the third solution is (-1, 1).Which is the best estimate of -14 1/9 (-2 9/10)
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_______________________________
Explanation:
________________________________________________________
Consider the "1/9" to be close to "1/10" ; (that is; "0.1" ; since "0.1 = 1/10" ) .
Note that a "negative value" multiplied by a "negative value" equals a "positive value".
Round the "14.1" to "14" ; and the "2.9" to "3" ;
_______________________________________
-14.1 * -2.9 ≈ 14* 3 = 42 .
_______________________________________
Kim has small wooden cube shaped blocks. To make the next size cube, she needs 8 blocks. Write a sequence to show the number of blocks needed for each increasingly larger cube. Include at least 6 terms in the sequence.
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1st term = 1
2nd term = 1 x 8 = 8
3rd term = 8 x 8 = 64
4th term = 64 x 8 = 512
5th term = 512 x 8 = 4,096
6th term = 4,096 x 8 = 32,768
Write the slope intercept equation of a line that passes through points (-3,4) and (2, -6)
Answers
-6-4 / 2-(-3)
-10/5
-2
Then plug one set of coordinates and the slope in to find the b value
-6= -2(2)+b
-6=-4+b
-2=b
Final answer: y=-2x-2
How do I find the domain of a function
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The domain of a function is the set of all possible input values that can be inserted into the function. The domain can be numerical or non-numerical, depending on what the function describes.
Explanation:In mathematics, finding the domain of a function involves identifying all possible values that can be inserted into the function. A function's domain can be a set of numerical values or a set of non-numerical values.
For example, if we have a function based on majors at a university, the domain could take form as X = {English, Mathematics, ...}, i.e., a list of all the majors offered at the university, plus undeclared, which are all possible inputs into the function.
Similarly, if we have a random variable X = hair color, then the domain of X would include all possible hair colors.
If the function is based on numerical variables, such as a Quadratic Function, the domain would be the set of all real numbers. For instance, the domain of Y = {0, 1, 2, ...} consists of the integers from zero up to a certain limit. Generally, the domain of a function is the set of all possible input values that will produce a value in the function.
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3-5x in verbal expression
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Hope this helps!
What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics
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First, get rid of the parentheses and combine like terms
(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)
9x^2-12y^2-11x is your answer
Answer: The correct option is (D) [tex]9x^2-12y^2-11x.[/tex]
Step-by-step explanation: We are given to find the following sum of the polynomials :
[tex]S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.
The sum of the polynomials in (i) is as follows :
[tex]S\\\\=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9y^2-4x+x^2-3y^2-7x\\\\=(8+1)x^2-(9+3)y^2-(4+7)x\\\\=9x^2-12y^2-11x.[/tex]
Thus, the required sum of the polynomials is [tex]9x^2-12y^2-11x.[/tex]
Option (D) is CORRECT.
The sum of three consecutive even integers is 378. what is the largest of the three integers
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The largest of the three integers is 127.
It is required to find the largest of the three integers.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Given that:
Let's assume, that first number is "x", than second number will be "x + 1" and third one is "x + 2".
x + (x + 1) + (x + 2) = 378
x + x + 1 + x + 2 = 378
3x + 3 = 378
3(x + 1) = 378
Divide by 3
x + 1 = 126
x = 125
The first number is 125, second number is 126 and third number is 127.
So, the largest of the three integers is 127.
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Find the mean of the integers -16,-27,21,-19,14,-3
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= -65+14
= -51
=> -51/6
=> -8.5
The mean of the integers -16, -27, 21, -19, 14, -3 is found by adding together all the numbers to get -30, and then dividing by the total number of values, which in this case is 6. This results in a mean of -5.
Explanation:The solution to this problem falls under the branch of Mathematics known as Statistics, which is the study of collecting, analyzing, interpreting, presenting, and organizing data. The term mean is frequently used in statistics, and it refers to the average of a set of numbers. In this case, you are required to find the mean of the set of integers -16, -27, 21, -19, 14, -3.
To compute the mean, you need to follow a simple two-step process: Add together all the numbers in the set, and then divide the total by the number of items in the set. For the numbers given in your case (-16, -27, 21, -19, 14, -3), you add these together which gives you a total of -30. There are 6 numbers in the set, so the mean would be -30 divided by 6, which equals -5.
Therefore, the mean of the integers -16, -27, 21, -19, 14, -3 is -5.
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Michael is three times as old as Margaret, and in 6 years he will be twice as old as her. How old was Michael when Margaret was born?
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Answer:
12 years old
Step-by-step explanation:
m = Michael
a = Margaret
m = 3a
m+6 = 2(a+6)
m+6 = 2a+12
Two equations, two unknowns, so we can use substitution.
3a+6 = 2a+12
a+6 = 12
a = 6
Plug it back in.
m = 3(6)
m = 18
When Michael was 18, Margaret was 6. So when she was born (basically when she was 0) Michael was 18-6 = 12.
Answer:
Michael was 12 years old when Margaret was born.
Step-by-step explanation:
Let Michael be x and Margaret be y.
x=3y
x+6 (years) = 2(6+y) --> x+6=12+2y --> x=6+2y
Now that we have x, substitute x=3y:
6+2y=3y --> y=6
Now we have y, substitute again with x=3(6) --> x=18
So, Michael, x, is 18 years old. Margaret, y, is 6 years old. But, to find how old Michael was when Margaret was born, do 18 (Michael's age)-6 (Margaret's age) to get 12. So, Michael was 12 years old when Margaret was born. Hope that helped, sorry if I missed something... :D
15/16 × 5/6
Reduce your answers to simplest form
Answers
15/6 x 5/6 = 75/96 = 25/32
(divide by 3)
OR
(simplify by 3. cross out 15 and get 5--->)15/16 x 5/6(<---simplify by 3. cross out 6and get 2) =
and thats what u get
5/16 x 5/2 = 25/32
1. A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work. (Will get brainiest if you show all work)
Answers
So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked
We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200
so now we have to solve for h (number of hours worked):
15h =< 200
(divide both sides by 15)
h =< 13 1/3
So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.
Hope this helps! :)
PLEASE HELP WILL MARK THE BRAINLIEST
1. How many solutions can a quadratic equation have and why does it vary? How would the corresponding graphs look like?
2. Describe the process of graphing a quadratic equation without using graphing technology.
3. Apply the projectile formula to a real-world situation.
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2. Find x and y intercepts of the equation. Calculate points at a constant intervals and plot points on graphing paper. Connect the points.
3. Following the movement of a ball through air? <-- not sure about this one
Hope I helped :)