The trigonometric ratio for cos D is 24/25
To find the trigonometric ratio of cos D, we need to use the cosine function
cos D = adjacent / hypotenuse
In this case, the adjacent side is EF, which has a length of 72 units, and the hypotenuse is DF, which has a length of 75 units. Therefore, we have
cos D = EF / DF
Substitute the values in the equation
cos D = 72 / 75
To simplify this fraction, we can divide both the numerator and the denominator by the greatest common factor, which is 3
cos D = (72/3) / (75/3)
cos D = 24 / 25
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The given question is incomplete, the complete question is:
What is the trigonometric ratio for cosD ? Enter your answer, as a simplified fraction, in the boxes.
Answer:7/25
Step-by-step explanation:
i took the test
What are the solutions to the quadratic equation x? - 16 = 0?
N
OX= 2 and x = -2
O X= 4 and x = -4
O x = 8 and x = 8
OX= 16 and x = -16
Answer:
\(x^2 = 16\)
\(x = \pm 4\)
Thus the answer is (b)
The solutions to the given quadratic equation are +4 and -4. Therefore, the option B is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is x²-16=0.
Now, x²=16
x=±√16
x=±4
x=+4 or x=-4
Therefore, the option B is the correct answer.
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A line passes through the points (-1,-7) and (7, 1). Write its equation in slope intercept
Answer:
y = x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, - 7 ) and (x₂, y₂ ) = (7, 1 )
m = \(\frac{1-(-7)}{7-(-1)}\) = \(\frac{1+7}{7+1}\) = \(\frac{8}{8}\) = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (7, 1 ) , then
1 = 7 + c ⇒ c = 1 - 7 = - 6
y = x - 6 ← equation of line
Question 10 of 10
Which of the following choices are equivalent to the expression below?
all that apply.
8^8/5
Answer:
C and D
Step-by-step explanation:
exponent of an exponent means
they got multiplied
x^m/n = nth root of x^m
x^8/5 means
(x^8)^1/5 or
5th root of x to the 8th power
x^1/5 is the
5th root of x^8
mthwaycom
What is the x-value of point A? On a coordinate plane, point A is 5 units to the right and 3 units up.
Answer:
The x value of a is 5
Step-by-step explanation:
The directions right and left on the grid is equal to the x-axis while the directions up and down is equal to the y-axis
Answer:
5
Step-by-step explanation:
the answer is 5
Evaluate the following with each given number.
f(x)=7x−x2+2
can someone work out the angle of x
Answer:
66 degree
Step-by-step explanation:
we will find it out by Angle sum property.
Answer:
x=180-79-35
x=66
Step-by-step explanation:
angles in a triangle add up to 180
If you help me you get 100 points please helppppppp
Answer:
25
Step-by-step explanation:
5 squared equals 25. That is all you need to know in this case
como se escribe 81,3273 en decimal
0.02474793 espero que esto le ayude
Below is a list of the scores of the Seattle Seahawks game scores in the year 2021.
28 27 3 7 38 35
38 31 27 34 16 28
23 12 40 20 20 26
What is the mean score?
28
27
24.18
25.16¯¯¯
Answer:
The angle is usually the same and they I believe it would be 24.18 if it's not then sorry for wasting your time.
What standard form polynomial expression represents the perimeter of this quadrilateral?
4x³ + 2x²
x² + 6x-11
3x² - 4x + 3
x³ - 2x
The standard form polynomial expression represents the perimeter of this quadrilateral is 5x³ + 6x² + 2x - 11
Given a quadrilateral, we need to represent its perimeter with the help of a polynomial expression.A quadrilateral is a figure with four straight sides. Thus, to find its perimeter, we need to add up all of the lengths of its sides. For example, let's say that the sides of the quadrilateral are 4x³, 2x², x², 6x, -11, 3x², -4x, and 3.
So, we need to add up all of these terms. The final answer will be the polynomial expression representing the perimeter of the quadrilateral. Let's simplify the terms and then add them up to find the expression that represents the perimeter of the quadrilateral.4x³ + 2x²x² + 6x - 113x² - 4x + 3x³ - 2x
Simplifying the above expression, we get:4x³ + x³ + 2x² + x² + 3x² + 6x - 4x - 11 + 3xWe can further simplify this expression by adding like terms. Therefore, the standard form polynomial expression representing the perimeter of this quadrilateral is as follows:5x³ + 6x² + 2x - 11. Hence, the correct option is 5x³ + 6x² + 2x - 11.
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which level(s) of prevention is/are most likely to include intervention?
Intervention is most likely to be included in the secondary and tertiary levels of prevention.
In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.
The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.
The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.
The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.
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Compute the effective annual rate of interest at which $ 2,000
will grow to $ 3,000 in seven years if compounded quarterly Express
the final answer as a % rounded to 2 decimal places .
The formula for calculating the effective annual rate of interest with quarterly compounding is:
(1 + r/4)^4 - 1 = A/P
where r is the quarterly interest rate, A is the final amount, and P is the principal.
In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.
So we have:
(1 + r/4)^4 - 1 = 3000/2000
(1 + r/4)^4 = 1.5
1 + r/4 = (1.5)^(1/4)
r/4 = (1.5)^(1/4) - 1
r = 4[(1.5)^(1/4) - 1]
To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:
effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%
Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.
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PLEASE ANSWER ASAP THANKS
Give the perpendicular cross-section for the following: Cylinder, cone, sphere, and pyramid.
Answer:
• Cylinder:Rectangle
,• Cone: Triangle
,• Sphere: Circle
,• Pyramid: Triangle
Explanation:
The perpendicular cross-section of any solid is the cross-section when the solid is sliced perpendicular to its base.
Cylinder
The perpendicular cross-section of a cylinder is a rectangle.
Cone
The perpendicular cross-section of a cone is a triangle.
Sphere
The perpendicular cross-section of a sphere is a circle.
Pyramid
A cone is an example of a pyramid. As shown above, the perpendicular cross-section of a pyramid is a triangle.
Susan’s elevation at the top of a mountain is 1530 meters.After four hours of climbing down her elevation is 680 meters. What is Susan’s average change in elevation in meters per hour?
Answer:
212.5/h
Step-by-step explanation:
subtract the new value from the old value, then divide by the time.
(1530 - 680)/4
850/4
212.5/1h
Answer: Sorry I’m late, look at the picture this is the correct answer!
Step-by-step explanation: Hope this help :D
Pls help I need this in 2 min!
Answer:
16
Step-by-step explanation:
on the number line it would be 9 and 7 on the same side because -7in () would be +7 and than you add it it would be 16
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
you have $2.30 and would like to buy some rice flour. if a pound costs $4, how many ounces can you buy?
You have $2.30 and would like to buy some rice flour buy 9.2 ounces of rice flour with $2.30.
To arrive at this answer, we need to first convert the price per pound to price per ounce. There are 16 ounces in a pound, so the price per ounce is $4/16 = $0.25 per ounce.
Next, we divide the amount of money you have ($2.30) by the price per ounce ($0.25).
$2.30/$0.25 = 9.2 ounces.
Therefore, the conclusion is that you can buy 9.2 ounces of rice flour with $2.30.
Hi! I'm happy to help you with your question.
You can buy 9.2 ounces of rice flour.
1. First, we need to find out how many dollars you have per ounce of rice flour: $4 per pound / 16 ounces per pound = $0.25 per ounce.
2. Next, we'll determine how many ounces of rice flour you can buy with $2.30: $2.30 / $0.25 per ounce = 9.2 ounces.
With $2.30, you can buy 9.2 ounces of rice flour at the given price of $4 per pound.
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Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great-grandmother's age? Do not include units (percent) in your answer
Answer:
The age of Jenny's mom is 40 % of age of Jenny's great-grandmother. (Input: 40)
Step-by-step explanation:
The percentage needed is calculated by the following expression:
\(x = \frac{n_{M}}{n_{G}}\times 100\,\%\)
Where:
\(x\) - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.
\(n_{M}\) - Age of Jenny's mother, measured in years.
\(n_{G}\) - Age of Jenny's great-grandmother, measured in years.
If we know that \(n_{M} = 36\,yr\) and \(n_{G} = 90\,yr\), the percentage is:
\(x = \frac{36\,yr}{90\,yr} \times 100\,\%\)
\(x = 40\,\%\)
The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.
Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.
Answer:
The logo has an area of 5.7 cm².
Step-by-step explanation:
The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.
\(square = side^2 = 2^2 = 4 \text{ cm}^2\)
\(triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2\)
The total area of the figura is:
\(total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2\)
The logo has an area of 5.7 cm².
If y is inversely proportional to x, and y = 400 when x = 20, what is the value of y when x = 40 and x = 80?
A
400 and 100
B
200 and 100
C
250 and 480
D
500 and 200
Answer:
The correct answer is B. 200 and 100. When y is inversely proportional to x, it means that the ratio of x to y remains constant. In this case, when x = 20, y = 400, which means that the ratio of x to y is 20/400. Since the ratio is constant, we can use that ratio to find the values of y when x = 40 and x = 80. When x = 40, y = (20/400) x 40 = 200 and when x = 80, y = (20/400) x 80 = 100.
Which of the following statements is false?
2 ≥ 8
2 ≤ 8
8 ≤ 8
2 < 8
The false statement among the options provided is 2 ≥ 8. This statement claims that 2 is greater than or equal to 8, which is incorrect.
In reality, 2 is less than 8, so the statement is false.
What method of studying divorce is likely being used if a researcher primarily gathers data from the Census and the General Social Survey
The method of studying divorce that is likely being used if a researcher primarily gathers data from the Census and the General Social Survey is a secondary data analysis approach. The secondary data analysis approach involves the use of pre-existing data, for instance, census data and the General Social Survey in this case.
The approach offers researchers a chance to use data that has been collected for other purposes but can answer their research questions without having to collect new data.Secondary data are widely utilized in social sciences as they save researchers time and money that would otherwise be utilized in collecting data themselves. In this case, using the census data and the General Social Survey data enables researchers to identify patterns of marriage and divorce in the population and come up with conclusions on how divorce affects society without collecting data themselves.
The data gathered from the census and General Social Survey provides information that may not be obtainable through other data collection methods, making the approach reliable.Using secondary data to research divorce has several advantages, such as;
The method is economical as it eliminates the cost of collecting new data. The census and General Social Survey data are relatively cheap and readily available.The method is time-saving since data is already collected. Researchers will not need to start the data collection process from scratch, hence reducing the amount of time needed to conduct research.
The method is reliable, and the data collected is of high quality since it has been gathered using standardized procedures. Also, the data gathered from the census is considered reliable since it covers the whole population.
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Complete the steps in order to write the inverse of f(x)=x+5
=x45
1.
Writing the Inverse of a Function
2.
3,
1-x-5
The equation of the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the inverse functions?The function f(x) is given as
f(x) = x + 5
As a general rule, we start by writing f(x) as a variable (say f(x) = y).
So, the equation of the function becomes
y = x + 5
The next step is to switch/swap the positions of x and y in the above equation y = x + 5
The equation becomes
x = y + 5
The next step is to make y the subject of the formula in the above equation x = y + 5
The equation becomes
y = x - 5
This is done by subtracting 5 from both sides of the equation.
So, we have:
y = x - 5
Express as an inverse function
f'1(x) = x - 5
Hence, the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5
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Kona work at a bakery. She baked 3308 muffin. She diplayed the muffin on tray that each hold 12 muffin. How many tray did Kona ue to diplay the muffin?
Using mathematical operations, we know that Kona needs a 276 trays to display all her 3308 muffins.
What are mathematical operations?The process of calculating a value using operands and a math operator is known as a mathematical "operation."
The provided operands or integers must follow certain established rules that are associated with the math operator's symbol.
Addition, subtraction, multiplication, division, and modular forms are the five fundamental operations in mathematics.
So, a tray will be needed to display all the cakes:
The total number of muffins is 3308.
Each tray can have 12 muffins.
The total trays needed are:
3308/12
275.66
Rounding off: 276
Therefore, using mathematical operations, we know that Kona needs a 276 tray to display all her 3308 muffins.
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What is line segment in maths class 7?
A line which is confined between two endpoints is known as a line segment. In other words, we can say that a line segment is a portion of a line that is connected by two points.
The length of the line segment does not vary and the distance between them does not change. The units in which a line can be calculated in centimetres, millimetres, meters, inches, or feet.
The difference between a line segment and a line is that the line segment had two endpoints while the line extends indefinitely. When only one side of the line has an endpoint, it is called a ray or a half-open line segment.
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The table of values below represents a linear function and shows the height of a tree since it was transplanted. What was the height of the tree when it was transplanted? Height of a Tree Since It Was Transplanted Years Since the Tree Was Transplanted 4 4.5 5 5.5 6 Height (feet) 12 13 14 15 16 1 foot 2 feet 4 feet 8 feet
Answer:
I am pretty sure that it is 4.
Step-by-step explanation: Got it right on edge2020
Answer:
4
Step-by-step explanation:
i took on edge
I dont know this one
Answer:
10, 8
Step-by-step explanation:
l + w = 18
l*w = 80
8 and 10 works
Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. what is the mode of thomas’s data set? 0.45 7.40 7.55 7.60
By observation or by inspection, 7.40 appears the most, thus mode.
What Is the Mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.
The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.
When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.
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Find a direct relationship
between y and x.
x=t-1 and y = t/t-1
y=?
Answer:
y = \(\frac{x+1}{x}\)
Step-by-step explanation:
Given
x = t - 1 ( add 1 to both sides ) , then
t = x + 1
Substitute t = x + 1 into
y = \(\frac{t}{t-1}\) = \(\frac{x+1}{x+1-1}\) = \(\frac{x+1}{x}\)