The value of sin( tetha) is -2/√5
What is intersection value?Point of intersection is the point where two lines meet.
a+2b = 0 can be related to x+2y = 0
Line x + 2y = 0 is end side of angle θ and cos θ < 0 means x < 0. Line is y = -x/2, slope -1/2 and the Line intersects unit circle when :
b = -1/2 a
therefore the slope is -1/2
Line intersect unit circle when:
x²+y² = 1
a²+b² = 1
a² +( - 1/2a)² = 1
a²+ a²/4 = 1
5a²/4 = 1
a² = 4/5
a = √ 4/5
the value of sin(tetha) at the point of intersection is y
y = -1/2a
y = -1/2√4/5
y = -2/√ 5
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Solve please algebra
The values of the variables are -4 and -9
How to simply the equationsFrom the information given, we have the equations:
y = 2x - 1
y = x -5
Now, from substitute the value of y in equation 2 to equation 1, we get;
x - 5 = 2x -1
collect the like terms
x -2x = -1 + 5
Add or subtract the like terms
-x = 4
Make 'x' the subject
x = -4
Substitute the value into equation 2
y = -4 - 5
y = -9
Then, the values are-4 and -9
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Create an equivalent system of equations using the sum of the system and the first equation. (1 point) x + 4y = 8 4x + y = 2
Answer:
Step-by-step explanation:
Hope this helps : )
9 percent of what is 15
Answer:
60%
Step-by-step explanation:
Rey drew the isosceles triangle LMN and the segment LP. How can Rey tell whether the segment drawn is the height of the triangle?
Answer:
Step-by-step explanation:
If LP represented the height of the triangle, then the segment would be the vertical leg of a right triangle. This is due to the fact that the altitude of an isosceles triangle is perpendicular to the base MN.
Thus, by the Pythagorean Theorem, (1.3)^2 + (3.5)^2 = (3.7)^2 if and only if segment LP is the height of the triangle. Calculate for yourself whether this is true.
At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth. Sixteen seconds pass from the time
the buoy is at its highest point to when it is at its lowest point. Assume at x = 0 the buoy is at normal ocean depth.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum
value on the graph closest to the first point.
Answer:
The answer is the equation for the function describing the movement of the buoy:
f(x) = 5 * sin(2 * pi * x / 16) + 8
Step-by-step explanation:
To graph the function, we need to find an equation that describes the buoy's movement. Since the buoy bobs up and down 5 meters from the ocean's depth, we can use the sine function. The amplitude of the function is 5, since the buoy moves 5 meters from the normal ocean depth. The period of the function is 16 seconds, since it takes 16 seconds for the buoy to go from its highest point to its lowest point.
Using this information, we can write the equation for the function as:
f(x) = 5 * sin(2 * pi * x / 16) + 8
where x is the time in seconds.
The first point on the graph would be (0, 8), since at x = 0 the buoy is at normal ocean depth. The second point would be either a maximum or minimum value on the graph closest to x = 0, which can be found by finding the derivative of the function and setting it equal to zero.
The graph of the function would look like a wave that oscillates up and down, with a maximum value of 5 meters above the normal ocean depth and a minimum value of 3 meters below the normal ocean depth.
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Write an inequality that represents the graph. Write your answer such that y is isolated on one side of the inequality symbol.
Answer:
y ≤ 3/4x-2
The 3/4 is the slope, and -2 is y intercept
i am equivalent to 5/6 . the sum of my numerator and my denominator is 44. the sum of the digits in my denominator is 6. what fraction am i?
The fraction that satisfies the problem is 20/24.
Equivalent fractions are fractions that have the same value, but different numerators and denominators.
If the fraction is equivalent to 5/6, then the numerator and denominator of the fraction is a multiple of 5 and 6, respectively.
Let x be the factor
fraction = 5x / 6x
If the sum of my numerator and my denominator is 44, then:
5x + 6x = 44
11x = 44
x = 4
fraction = 5x / 6x = 20/24
The final statement says that the sum of the digits in the denominator is 6.
2 + 4 = 6
Hence, the fraction is 20/24.
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The local grocery store is having a sale on sports drinks. For a particular brand of sports drink, a 6 -pack of 20 -ounce bottles costs $4.96 . What is the unit price (per ounce) for the sports drink? Round your answer to the nearest cent.
$0.04 is the unit price (per ounce) for the sports drink.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that local grocery store is having a sale on sports drinks.
For a particular brand of sports drink, a 6 -pack of 20 -ounce bottles costs $4.96
We need to find the the unit price (per ounce) for the sports drink.
6×20
120 ounce bottles in total which cost $4.96.
Now 4.96/120 is the cost of each bottle
$0.04 is the unit price of the sport drink.
Hence, $0.04 is the unit price (per ounce) for the sports drink.
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What happens to the mean of the data set {10, 2, 8, 9, 5, 2, 6} if the number 9 is removed from the data set?
Answer:
If we remove 9 from the data set, the mean reduces by 0.5 from 6 to 5.5
Step-by-step explanation:
Mean of {10, 2, 8, 9, 5, 2, 6}}If 9 is removed from the data set, the total reduces from 42 by 9
Answer
If we remove 9 from the data set, the mean reduces by 0.5 from 6 to 5.5
henry's score on an accounting exam placed him in the 85th percentile in the class. what percentage of students scored higher than henry?
15% of the students scored higher than Henry on the accounting exam.
What is percentiles?
Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.
So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.
Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.
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Chad's phone plan includes a certain amount of data each month. So far this month, he has used 4.3 gigabytes of data. He has less than 6 gigabytes of data left for the rest of the month. Let x represent how many gigabytes of data are included in Chad's phone plan each month. Which inequality describes the problem?
The correct inequality which describes the problem is,
⇒ x - 4.3 < 6
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Chad's phone plan includes a certain amount of data each month.
And, he has used 4.3 gigabytes of data. He has less than 6 gigabytes of data left for the rest of the month.
Now, Let x represent how many gigabytes of data are included in Chad's phone plan each month.
Hence, The correct inequality which describes the problem is,
⇒ x - 4.3 < 6
⇒ x < 6 + 4.3
⇒ x < 10.3
Thus, The correct inequality which describes the problem is,
⇒ x - 4.3 < 6
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What is the inverse of the function f(x)=(14x)3? f−1(x)=x√34
f−1(x)=4x−−√3
f−1(x)=14x−−−√3
f−1(x)=4x√3
Pls help me pls pls pls pls help me pleeeeeaaase
Answer: i think its 9
Step-by-step explanation:
Answer:
the answe is defenitly -3
Solving multi step equations
Like term- negative coefficients
-9 + x -3x = 5
The required solution of the given equation is x = -7.
What does multi step equations Like term- negative coefficient means?"Multi-step equation" means an equation that requires more than one step to be solved.
"Like terms" refers to terms that have the same variables raised to the same powers. In this equation, there are no like terms, so no simplification of the equation is needed in that regard.
"Negative coefficients" refers to the fact that some of the coefficients in front of the variables in the equation are negative. For example, in this equation, the coefficient of x is -3, and the coefficient of -9 is also negative.
According to question:To solve this equation, you can simplify both sides by combining like terms:
-9 + x -3x = 5
-9 - 3x + x = 5
-9 - 2x = 5
Next, isolate the variable on one side of the equation by adding 9 to both sides:
-9 - 2x + 9 = 5 + 9
-2x = 14
Finally, divide both sides by -2 to find x:
(-2x) / -2 = 14 / -2
x = -7
So the solution is x = -7.
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Eric invests $3,200 in a fund that pays 8% annually on the principal. The interest earned after 5 years is $1,280…
Is a linear function, exponential function, absolute value function or none of the above function types? Helpppp is a test
The simple interest on a principal amount is the function on time t.
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal=$3200, Annual rate of interest =8% and time=5 years
Thus Simple interest is S.I= 3200×8×5 / 100
=$1280
Which is equal to the interest given in the question.
Thus the the interest rate forms a linear function or
Simple Interest is calculated using the following formula: SI = P × R × T /100,
where r and P are constant then S.I can be written as the function of time t
SI(t)= P×r×t/100
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Here is a rectangle.
5 cm
7 cm
5 cm
7 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shape.
Optional working
Answer:
cm
The perimeter of the 6-sided shape given the length and width of the rectangle is 48 cm
What is the perimeter of the 6-sided shape?The perimeter of a rectangle= 2(length + width)
Length of the rectangle= 7 cm
Width of the rectangle= 5 cm
The perimeter of a rectangle= 2(length + width)
= 2(7 + 5)
= 2(12)
= 24 cm
The 6-sided shape is the combination of two rectangles
So,
Perimeter of the 6-sided shape = 24 cm + 24 cm
= 48 cm
Therefore, the 6-sided shape has the perimeter 48 cm.
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[tex]\sqrt{100}[/tex]
(Brainliest) Tickets to a movie cost $6 for adults & $4 for students. A group of friends purchased 12 tickets for $72. Write a system of equations to model this scenario, where x represents the number of adults and y represents the number of students who purchased tickets. (You do not have to solve the system you create.)
Answer:
Step-by-step explanation:
x = # of adults
y = # of students
6x + 4y = 72
x + y = 12
6. How many three-digit palindrome's can be created using the digits 1, 2, 3, and 4, if the digits can repeat?
A. 16
B. 24
C. 12
D. 4
E. 6
The three-digit palindromes that can be created using the digits are 16 numbers.
What are palindromes?A word, number, phrase, or other group of characters that reads the same backwards as it does forwards is called a palindrome. Examples include the words "madam" or "racecar," the date and time 12/21/33 12:21, and the phrase "A man, a plan, a canal — Panama."
The three-digit palindromes are of the form: ABA.
Here, A can be selected in 4 ways.
Digits can be repeated hence, B can be selected in 4 ways.
The last A is the same number as the first A, hence the selection is 1 way.
The number of three digits palindrome that we can form is:
(4)(4)(1) = 16 ways
Hence, the three-digit palindromes that can be created using the digits are 16 numbers.
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Pls help image attached
Algebra 1 10points and brainliest
Using the graph of the function, the value of f(4) is 6.
How to find the value of f(4) of the graph?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
The set of inputs is called the domain of the function, and the set of outputs is called the codomain. A function maps each input to exactly one output, so it is also sometimes referred to as a mapping.
Using the graph, the value of f(4) can be found by checking for the value y when x = 4. Check the attached image.
Therefore, the value of f(4) is 6
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Match the following situation with one of the linear systems. Lewis wants to acquire at most 12 packages of baseball cards. Some packages have 4 rookie cards and some have only 3. In all, there are at most 38 rookie cards.
10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.
what is linear equations ?In math, a linear equation one of that of the form y=mx+b. The slope is B, and the una is m. As y and x are variable, the previous statement is frequently referred to as a "system of equations with 2 variables." Bivariate linear equations are logistic equations with two or more variables. Formulas can be found in various locations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When such an equation has had the structure y=mx+b, where m represents the slope and b its y-intercept, it is known to as being linear. A model formula is said to be cubic if its solution seems to have the form y=mx+b, wherein m stands for the gradient and b for the y-intercept.
3x + 4y = 38
x + y = 12 ( Multiply by -3)
Hence
3x + 4y = 38
-3x - 3y = -36
Add
y = 2
In the case where y = 2
x = 12 - y
x = 12 - 2
x = 10,
10 packages are available, some of which contain only 3 and others 4 rookie cards. There are a maximum of 38 rookie cards in all.
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what are the rest of the digits of pi after these 511 11 digits? 3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4
Answer:
Here:
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What is the range of a function g?
Answer:
A { y | y ∈ ℝ, y ≠ -4, -3 }
Step-by-step explanation:
You want to know the range of the function shown in the graph.
RangeThe range is the vertical extent of the graph, the set of possible function output values.
Here, the function approaches the horizontal asymptote y = -3, but never has that output value. The "hole" at (5, -4) means the function never has the output value -4, either.
The range is all real numbers (ℝ) except -4 and -3.
i promise i will mark as brainliest
Answer: No, you can prove it
Step-by-step explanation:
It is a right angle at both triangles and the sides to points toward the vertex of the triangle have to be the same. So, the bottom side must be the same and the angles are the same. It is congruent.
Jiah and Michelle made a big pan of brownies during baking class. They decided that it would be fair to share
them equally between the two of them. Each took half of the brownies home. At home their families enjoyed
eating brownies. Jiah shared it with her mom, sister, and brother. If each of them ate one fourth of the brownies,
what part of the whole brownies did Jiah eat?
The part of the whole brownies that Jiah eat will be 1/8.
How to calculate the fractionA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Fractions help to distribute and judge the numbers easily and make the calculation faster. Instead of using decimal values, the representation of fractions looks simpler.
Jia's mom = 1/4
Jia's sister = 1/4
Jia's brother = 1/4
Jia's share = 1 - (1/4 + 1/4 + 1/4) = 1 - 3/4 = 1/4( of her share)
Jia's share in relation to the whole = 8/8 - 7/8 = 1/8
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. Celina reads 16 pages in 8 minutes.
a. How many pages does Regina read per minute?
b. How many minutes does Celina spend reading each page?
Please help.
Answer:
Step-by-step explanation:
A.) To find out how many pages Celina reads per minute, you would have to divide 16 by 8 = 2.
B.) Now that we know she reads two pages every one minute, we are able to calculate how many minutes it takes her to read one. You need to divide 2 by 2 = 1.
A.) = 2
B.) = 1
Four years ago Inka became an employee of TrakRight Tourism, where her starting annual salary was $55 600. After her first year she received a 2% pay rise. The next year she received a 3% pay rise. Last year she received an x% pay rise. If her annual salary is now $61 042, determine the value of x, correct to 1 decimal place.
The fourth year increase in salary is 4.5 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Inka's starting annual salary was $55,600.
After her first year she received a 2% pay rise.
Now, 2% of 55,600
= 2/100 ×55,600
= 1112
So, salary of 2nd year is 55,600+1112=$56712
The next year she received a 3% pay rise.
Now, 3% of 56712
= 3/100 ×56712
= 1701.36
So, salary of 3rd year is 56712+1701.36=$58413.36
Last year she received an x% pay rise.
Now, x% of 58413.36+58413.36=61,042
x/100 ×58413.36=61,042-58413.36
584.1336x=2628.64
x=2628.64/584.1336
x=4.5%
Therefore, the fourth year increase in salary is 4.5%.
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Decimal of one hundred twenty ten thousandths
Answer:
120.010
Step-by-step explanation:
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 36 63 90
White 13 B 91 C
Determine which table has the correct values for A, B, and C.
The required correct values for A, B, and C is 9, 52, and 130 respectively.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Since a standard piano has a ratio of white to black keys is given as,
= 91/63
= 13/9
Now,
13/A =91/63
A = 9
Similarly,
B = 52
C = 130
Thus, the required correction values for A, B, and C is 9, 52, and 130 respectively.
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2b x b
is this answer only 2b ^ 2 or is there any other answer without using exponentiation
The answer to the expression 2b x b is simply 2b^2. Exponentiation is a mathematical operation that raises a number to a power, and in this case, b is raised to the power of 2.
Alternatively, if exponentiation is not allowed, the answer to the expression is simply 2b * b, which can be simplified to 2b^2 as well.
So, the answer to the expression 2b x b is 2b^2, regardless of whether or not exponentiation is used.
The expression 2b x b represents the product of two scalars, 2 and b, multiplied by a scalar b.
The expression could represent a variety of quantities in mathematics and science, including the area of a rectangle, the volume of a cube, or the kinetic energy of an object, among others.
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