Given a triangle ABC below
To find the value of m∠A, we use the cosine formula which is
\(\cos A=\frac{b^2+c^2-a^2}{2bc}\)Where
\(\begin{gathered} a=79 \\ b=68 \\ c=61 \end{gathered}\)Substitute the values into the cosine formula above
\(\begin{gathered} \cos A=\frac{b^2+c^2-a^2}{2bc} \\ \cos A=\frac{68^2+61^2-79^2}{2(68)(61)} \\ \cos A=\frac{2104}{8296} \\ \cos A=0.2536 \\ A=\cos ^{-1}(0.2536) \\ A=75.3\degree\text{ (one decimal place)} \end{gathered}\)Hence, m∠A is 75.3° (one decimal place)
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
SOMEONE HELP !!
A shop teacher has four sockets in a drawer. They are labeled 5/16 - inches 3/8 - inches 13/32 - inches and 15/32 - inches . Which of these sockets has the smallest measurement?
A. 15/32 -inches
B. 13/32 - inches
C. 5/16 - inches
D. 3/8 - inches
Answer:
C. 5/16 - inches
Step-by-step explanation:
15/32= 0.467
13/32=0.406
5/16=0.313
3/8=0.375
fg to the power of negative 1 over g to the power of 2
Answer:
= f / g^3.
Step-by-step explanation:
fg^-1 / g^2
= fg^(-1-2)
= fg^-3
= f / g^3.
is the sum of interior angles the same if the polygon if irregular or not
say a hexagon and a irregular hexagon might have the same interior angle sum
Answer:
Yes, it would still be considered a hexagon. The reason why we require "6 angles" is probably just because you don't want the 6 lines to cross and create "more than 6 angles". The hexagons you are probably thinking of (the one with all the angles and sides equal) would be regular hexagons.
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I NEED HELPPPP COME HELPPP THIS THE LAST ONE
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
The areas of two similar triangles are 144 cm² and 81 cm. If one side of the first triangle is 6 cm, what is the length of the corresponding side of the second?
Answer:
4.5 centimeters
Step-by-step explanation:
For the triangle with area 144 square cm:
144 = (1/2)(6)x
144 = 3x, so x = 48 cm
So for the triangle with area 81 square cm:
(1/2)(x)(8x) = 81
4x^2 = 81
x^2 = 81/4 so x = 9/2 = 4.5 cm and
8x = 36 cm
Answer:
4.5
Step-by-step explanation:
use ratio method to form the equation (X/6)^2=81/144solve(-2,0) lies on the graph of the equation y = |x-1| + 3.
Answer:
Yes true i tried it out
What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
The area of the pentagon is 52.5 in²
Step-by-step explanation:
The area of a regular pentagon is given by:
area = (5*l*a)/2
Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:
area = (5*5*4.2)/2
area = (105)/2
area = 52.5 in²
The area of the pentagon is 52.5 in²
Select the correct answer from each drop-down menu. Graph of proportional relationships. X-axis labeled Number of Plants. Y-axis labeled Number of Roses. Line begins from origin and goes through plotted closed points at (1, 5), (2, 10), (3, 15), (4, 20). According to the graph, the relationship between the number of rose plants and the number of roses is . Reset Next
The relationship between the number of plants and the number of roses is a linear relationship.
What are the characteristics of a linear relationship?The given points on the graph are;
(1, 5), (2, 10), (3, 15), (4, 20)
The difference between consecutive x-values is 1, which is constant;
2 - 1 = 3 - 2 = 4 - 3 = 1
Similarly, the difference between consecutive y-values is also a constant, 5;
10 - 5 = 15 - 10 = 20 - 15 = 1
The x-values are the x-coordinates of the points found by using the numbers along the X-axis, while the y-values are the y-coordinates of the points, corresponding to the numbers located along the y-axis
Given that the differences between consecutive terms of the x and y-values are constant, therefore;
The relationship between the Number of plants and the Number of Roses is a linear relationship.Learn more about linear functions and relationships here:
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Answer:
See image
Step-by-step explanation:
Plato
Show your work. The height of players in inches for a basketball team is: 85. 83. 76. 78. 89. 80. 79 81. 74. 82, 82, 84, 80, 84 The height of players in inches for a soccer team 7 70, 65, 79, 80, 69, 66, 71, 70, 74, 62, 65, 74, 74. 79, 70, 71, 72, 69, 77, 74, 70, G7, 67, 72 What is the approximate mean height difierenco between the two sports? 1. Find the mean of the basketball team. 2.5 points 2. Find the mean of the soccer team. 2.5 points 3. What is the approximate mean height difference between the two sports? 5 points
"Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players."
Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
How much interest would $1,600 earn in 1 year at an annual rate of 3% compounded
annually? What would be the new balance?
48$ dollars would be the correct anwser
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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a)
Multiply:
2y x 6y2 x (-4y)
Answer:
-48y⁴
Step-by-step explanation:
2y × 6y² × (-4y)
-48y⁴
a dealership is allowing residents to test drive the following vehicles: 2 sports cars, 3 vans, and 3 trucks. if you select a random car to test drive, what are the odds it is not a sports car? write your answer as 1:2 which is reduced as much as possible.
Step-by-step explanation:
To find probability ratio wise
Sports Cars: Total Cars
3 + 3 + 2 = 8 total cars
2 sports cars
Ratio is 2:8
Reduces to 1:4
Which is equivalent to the following expression?
4(9m + 3) + 9 - 2(3m)
a. 16m + 9
b. 30m + 21
c. 30m + 9
d. 42m +21
30m +21
4(9m + 3) + 9 - 2(3m), distribute the numbers into the parenthesis 36m+12+9-6m, combine like terms 30m + 21Answer:
\( \huge{ \bold{ \boxed{ \text{30m + 21}}}}\)
Step-by-step explanation:
\( \text{4(9m + 3) + 9 - 2(3m) }\)
\( \text{Step \: 1} : \text{Distribute \: 4 \: through \: the \: parentheses}\)
➵ \( \text{36m + 12 + 9 - 2(3m)}\)
\( \text{Step \: 2} : \text{Multiply \: 2 \: by \: 3m}\)
➵ \( \text{36m + 12 + 9 - 6m}\)
\( \text{Step \: 3 : \: Combine \: like \: terms}\)
\( \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}\)
➵ \( \text{36m - 6m + 12 + 9}\)
➵ \( \text{30m \: + 12 + 9}\)
\( \text{Step \: 4 : Add \: the \: numbers}\)
➵ \( \text{30m \: + \: 21}\)
\( \sf{Hope \: I \: helped}\)!
\( \sf{Best \: regards}\) !
~TheAnimeGirl
The eigenvalues of a matrix A are the same as the eigenvalues of the reduced row echelon form of A.TRUE/FALSE
False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.
A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.
This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.
Think about these matrices as an illustration:
Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.
A = [1 2; 2 1]
and
B = [1 0; 0 1].
The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.
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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.
Explanation:
Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.
Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.
However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.
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Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers
Copy the Diamond Problems below onto your paper. Then use the pattern you discovered to complete each one.
HELPPP PLEASE
Answer:
See below.
Step-by-step explanation:
The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.
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10÷2=5
5+2=7
6÷3=2
2+3=5
4÷-4=-1
-1-4=-5
this is the pattern
What is a response variable in stats?
A response variable in statistics is a variable that is being measured or observed in a study. It is thought to be affected by the explanatory variable.
Response variable in statistics is a variable that is being measured or observed in a study. It is also known as the dependent variable or the outcome variable.
This variable is thought to be affected by the explanatory variable, also known as the independent variable.
This allows us to understand if the changes involved are significantly related or not or whether it is due to certain factors.
For example, if a study is examining the effect of exercise on weight loss, the response variable would be weight loss and the explanatory variable would be exercise. The response variable is typically plotted on the y-axis of a graph, while the explanatory variable is plotted on the x-axis.
In summary, a response variable in statistics is a variable that is being measured or observed in a study.
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does anyone know how to do this
Step-by-step explanation:
So you're going to try to always make the equation be in a y= mx +b point slope form. It just makes creating a graph easier.
First, we're going to put x to the opposite side so it's in the y= mx + b form. Remember that every time you cross the equal sign you do the opposite -\(x^{2}\) turns into + \(x^{2}\).
y- \(x^{2}\) = -1 becomes y = \(x^{2}\) -1.
Now all you have to do is plug in values. I recommend you start off small, so they can fit in your graph.
An example would be x = 2 now you plug in to find y which is \(2^{2}\) = 4 -1 = 3. So you graph the point (2, 3).
To find the x- intercept and y- intercept you need to plug in 0. For the y-intercept, plug in 0 for x, since you're trying to find the y.
y = \(0^{2}\) - 1. The y-intercept is -1 or the point (0, -1)
For the x-intercept, plug in 0 for y, since you're trying to find the x.
0 = \(x^{2}\) -1 . Because you're trying to find x, you need to isolate x. Move -1 to the other side. Again, remember since you're moving across the = sign it changes to be positive. 1 = \(x^{2}\). To get rid of squared, you're going to have to square root it. \(\sqrt{x^2}\) = x and \(\sqrt{1}\) = 1. So the x- intercept is 1 or the point (1, 0).
To make the graph, know that the y axis is vertical (up and down) and the x axis is horizontal (left right). So, the point (0,0) would be on the bottom left corner.
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
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Question 3 Type numbers in the boxes. 10 points Let A and B be two independent events such that P(A) = 0.34 and P(B) = 0.56. What is P(A or B)? Your answer should be given to 4 decimal places.
Question 4 Type numbers in the boxes. 10 points Let A and B be two independent events such that P(A) = 0.3 and P(B) = 0.5. What is P(A and B)? Your answer should be given to 2 decimal places.
Question 5 Type numbers in the boxes. 10 points Let A and B be two disjoint events such that P(A) = 0.41 and P(B) = 0.1. What is P(A and B)?
Question 6 Type numbers in the boxes. 10 points Let A and B be two disjoint events such that P(A) = 0.05 and P(B) = 0.4. What is P(A or B)?
Question 3: The probability that two separate event A and B will occur together (P(A or B)) is 0.7424
Question 4: The probability of the intersection of event A and B P(A and B) is 0.15.
Question 5: The probability of the intersection of event A and B P(A and B) is 0.
Question 6: The probability that two separate event A and B will occur together (P(A or B)) is 0.45
Question 3:
You may calculate the probability that two separate event A and B will occur together as follows:
P(A or B) = P(A) + P(B) - P(A and B)
As, A and B are independent events,
P(A and B) = P(A) x P(B)
P(A or B) = P(A) + P(B) - P(A) x P(B)
P(A or B) = 0.34 + 0.56 - 0.34 x 0.56
P(A or B) = 0.7424
Rounding to four decimal places, the chance of choosing A or B is therefore 0.7424.
Question 4:
As per the given information,
A and B are independent events,
The probability of their intersection can be calculated as:
P(A and B) = P(A) x P(B)
P(A and B) = 0.3 x 0.5
P(A and B) = 0.15
With two decimal places added, the probability of A and B is thus 0.15.
Question 5:
As per the given information,
A and B are nonoverlapping events, so they have no outcomes in common,
so their intersection has probability zero:
P(A and B) = 0
Question 6:
As per the given information,
A and B are nonoverlapping events, so they have no outcomes in common,
so their intersection has probability zero:
P(A and B) = 0
To find the probability of the union of A or B, we can use the following formula:
P(A or B) = P(A) + P(B) - P(A and B)
As A and B are nonoverlapping event, P(A and B) = 0:
P(A or B) = P(A) + P(B)
P(A or B) = 0.05 + 0.4
P(A or B) = 0.45
So, the probability of A or B is 0.45.
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the total of three consecutive numbers is 210. what are the numbers. show all work
The shaded area of a circle is 25 cm squared. if the diameter of the circle is 10cm, determine what percentage of the circle is shaded
If the shaded area of a circle is 25 cm squared. if the diameter of the circle is 10cm, the percentage of the circle is shaded is: 31.83% .
What percentage of the circle is shaded?We can start by finding the area of the entire circle. The formula for the area of a circle is:
A = πr^2
where A is the area and r is the radius. Since the diameter of the circle is 10 cm, the radius is half of that, or 5 cm. Therefore, the area of the entire circle is:
A = π(5 cm)^2 = 25π cm^2
Next, we can find what percentage of the circle is shaded by dividing the shaded area by the total area of the circle and multiplying by 100:
Percentage shaded = (shaded area / total area) x 100
Percentage shaded = (25 cm^2 / 25π cm^2) x 100
Percentage shaded = 100 / π ≈ 31.83%
Therefore, approximately 31.83% of the circle is shaded.
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Look at the shape below.
How many angles inside the shape are less than a right angle.
Answer:
i need to see shape
Step-by-step explanation:
Which ratio is the odd one out?
6:24
4:16
1:4
3:12
8:31
Answer:
8:31
Step-by-step explanation:
all of them are equal with 1:4 except 8:31
what is Hola, soy el chico nuevo de la clase y me gustan los coches. in english and what is 20+20+x56?
1. Hi, Im the new kid in class and I like cars.
2. 2240.
( 20 + 20 = 40)
40 x 56 = 2240.
Answer:
it means ''Hi I'm the new kid from class and I like cars.
and 2240 is the answer for the equation
Step-by-step explanation:
hope this helped you!
Describe your reaction upon beginning this course. What are you hoping to gain from taking this course? Are you already familiar with epidemiological concepts and methods? If so, how? Which topics are most interesting to you, and why? How do you think epidemiology impacts positive social change? How do you think that you will or can use information from this course in your career as a public health professional to effect positive social change?
Epidemiology is the study of the patterns, causes, and effects of health and disease conditions in populations. While I don't have personal experiences or hopes, individuals taking an epidemiology course may have various expectations and goals.
Some common reasons for taking an epidemiology course may include gaining a comprehensive understanding of epidemiological concepts and methods, acquiring practical skills for conducting research and analyzing data, and applying epidemiological knowledge to improve public health outcomes.
Epidemiology is a multidisciplinary field that encompasses a wide range of topics, such as study design, data analysis, disease surveillance, outbreak investigation, and risk assessment. Each topic offers unique insights into understanding and addressing public health challenges. For example, studying disease transmission patterns can help identify preventive measures and develop effective interventions to control infectious diseases. Analyzing risk factors for chronic diseases can inform targeted prevention strategies and health promotion initiatives.
Epidemiology plays a crucial role in driving positive social change by providing evidence-based insights for decision-making and policy development. By understanding the distribution and determinants of health and disease, epidemiologists can identify health disparities, assess the effectiveness of interventions, and contribute to health equity initiatives. Epidemiology also informs public health responses during outbreaks and emergencies, helping to protect populations and minimize the impact of disease outbreaks.
Professionals in public health can utilize the knowledge and skills gained from an epidemiology course to conduct research, collect and analyze data, evaluate interventions, and contribute to evidence-based public health practices. They can use this information to advocate for policy changes, implement preventive measures, and address health disparities, ultimately working towards positive social change in their communities and beyond.
In summary, an epidemiology course equips individuals with the necessary tools and understanding to contribute to public health and effect positive social change. By applying epidemiological concepts and methods, public health professionals can make informed decisions, develop effective interventions, and advocate for policies that improve population health outcomes.
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Evaluate. 6! (6-3)! 61 (6-3)!
Six factorial (6!) is equal to six multiplied by five multiplied by four multiplied by three multiplied by two multiplied by one, divided by three multiplied by two multiplied by one expression (3 × 2 × 1).
6! (6-3)!
= 6 × 5 × 4 × 3 × 2 × 1 / 3 × 2 × 1
= 6 × 5 × 4 / 3 × 2 × 1
= 120 / 6
= 20
6! (6-3)! is a mathematical expression that can be simplified by breaking it down into two parts. The first part is 6! which stands for 6 factorial and is equal to 6 multiplied by 5 multiplied by 4 multiplied by 3 multiplied by 2 multiplied by 1. The second part is (6-3)! which stands for (6 minus 3) factorial and is equal to 3 multiplied by 2 multiplied by 1. When these two parts are combined, the expression can be simplified to 6 × 5 × 4 divided by 3 × 2 × 1, which equals 120 divided by 6, which is equal to 20.
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