The values of sides and angle are;
1. x = 12.7
2. x = 15.2
3. x = 40. 36 degrees
How to determine the valueThe different trigonometric identities and their ratios.
sin θ = opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
From the information given, we have that;
using the cosine identity, we have;
cos 45 = 9/x
cross multiply the values
x = 9/0.7071
x = 12. 7
Using the sine identity,
sin 72 = x/16
Find the value
x = 16(0.9510)
x = 15. 2
Using the cosine identity, we have;
cos x = 32/42
divide the values
cos x = 0.7619
x = 40. 36 degrees
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What is 4.12 expressed as an improper fraction in simplest form?
Answer:
103/25
Step-by-step explanation:
103/25
Hope I helped!
Answer:
130/25
Step-by-step explanation:
hope this helps
The figure below is a net for a rectangular prism. Side a = 64 centimeters, side b = 20 centimeters, and side c = 17 centimeters. What is the surface area of this figure
Answer:
My name is math JR LOL
Step-by-step explanation:
PLEASE IM BEGGING SOMEONE. I NEED HELP FAST!!! SHOW UR WORK PLS!! THANK YOU!! Jimmy, who is five and a half feet tall, sees a bird at the top of a tree and wonders how tall the tree is. Jimmy stands 18 feet from the tree. Jimmy takes an inclinometer (a device used to calculate angles of elevation) and measures the angle created from his horizontal gaze and the bird to be 50 degrees. How tall is the tree?
2. While calculating the height of the tree on the first part, Jimmy drops and breaks his inclinometer. He turns around to find that he is directly in the middle of the first tree with the bird and another tree which he thinks is 20 feet taller than the tree with the bird. What is the angle of elevation created from Jimmy’s horizontal eyeline and the top of the second tree? (Show all work including any equations used)
Answer:
The height of first tree is
[ 5.5+18tan(50 degrees) ] ft. This is approximately 26.95 ft.
Angle of elevation from Jimmy's eyes to top of tree is arctan([20+18tan(50 degrees)] /18). This is approximately 66.53 degrees.
Step-by-step explanation:
It would help you to draw a picture for both of these.
You have a person whose height is 5.5 ft and from there horizontal gaze they see a bird from a 50 degree angle of elevation. He is standing 18ft ftom the tree.
So we will first want to find the distance from his eyesight level to the top of the tree. We can do this using the tangent ratio since we have the opposite and adjacent measurements.
Let the distance from eyesight level to the top of the tree be r.
tan(50)=r/18
Multiply both sides by 18:
18tan(50)=r
Now the height of the tree is
[5.5+18tan(50 degrees)] ft.
Now if he is the middle of two trees, then he 18 ft from the 2nd tree.
Since he says the height is 20ft taller than the first tree then it's height is
[20+5.5+18tan(50 degrees)] ft.
Now since we want to find his angle of elevation to the top of the 2nd tree we need to take out his height given us the distance from his eyesight level to the top of the tree which is
[20+18tan(50 degrees)] ft..
So again we are using the tangent ratio.
Let this angle if elevation be P.
tan(P)=[20+18tan(50 degrees)] /18
Take arctan() of both sides:
P=arctan([20+18tan(50 degrees)] /18)
Please help! I will mark as brainliest IF answer is right. <3
Answer:
x- (-2,0)
Y-(0,-6)
Step-by-step explanation:
set y = to zero and solve for x
then set x= 0 and solve for y
y=-3x-6
0=-3x-6
6=-3x
-2=x
points of x intercept (-2,0)
y=-3(0)-6
y=-6
points of the y intercept
(0,-6)
I NEED HELP PLEASE Which is the better buy?
14 rolls of paper towels for $18
or
10 rolls of paper towels for $12
what is the unit rate for the 14 roll option
Answer: The second one, 10 rolls for $12. 1.29 (Rounded)
Step-by-step explanation:
14/18 is 1.29 (Rounded)
10/12 is 1.20.
The unit rate is cheaper, therefore making it the better buy
Reasoning There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency
table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%
The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.
To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.
Relative Frequency Table by Color:
The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.
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The given question is incomplete, the complete question is:
There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65
what is -8g=240 using one step equation
Answer:
30
Step-by-step explanation:
PLS help i will give you 26 points and brainly pls i need this for tomorrow i don't understand the question that i left blank. It Math thanks. :)
Answer:
145 is the outlier
Step-by-step explanation:
When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.
The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog is randomly chosen to lead the parade, what is the probability that a medium-sized dog will be chosen
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = \(\frac{12}{40}=0.3\)
Answer:
0.3
Step-by-step explanation:
Find the perimeter. Approximate the result to the nearest tenth using 3.14 for π.
In order to find the perimeter of this figure, let's calculate the length of the semicircle at the top of the figure.
The diameter of the semicircle is equal to 5 meters, so the radius (which measures half the diameter) is equal to 2.5 meters.
Now, to calculate the length of the semicircle, we can use the formula below:
\(\begin{gathered} C=\pi r \\ C=3.14\cdot2.5 \\ C=7.85 \end{gathered}\)Calculating the perimeter of the figure, we have:
\(\begin{gathered} P=7.85+9+5+9 \\ P=30.85 \end{gathered}\)Rounding to the nearest tenth (half even method), we have a perimeter of 30.8 meters.
The head of a grasshopper is 2 centimeters long. The rest of the grasshopper's
body is 7 centimeters long. What is the total length of the grasshopper?
Answer:9 cm long
Step-by-step explanation:
7 + 2 = 9
so that will be the total
Find the least common multiple of each pair of polynomials.
x² - 32x - 10 and 2x + 10
The least common multiple (LCM) of the polynomials x² - 32x - 10 and 2x + 10 is 2(x + 2)(x - 10)(x + 5).
To calculate the LCM, we need to find the polynomial that contains all the factors of both polynomials, while excluding any redundant factors.
Let's first factorize each polynomial to identify their prime factors:
x² - 32x - 10 = (x + 2)(x - 10)
2x + 10 = 2(x + 5)
Now, we can construct the LCM by including each prime factor once and raising them to the highest power found in either polynomial:
LCM = (x + 2)(x - 10)(2)(x + 5)
Simplifying the expression, we obtain:
LCM = 2(x + 2)(x - 10)(x + 5)
Therefore, the LCM of x² - 32x - 10 and 2x + 10 is 2(x + 2)(x - 10)(x + 5).
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consider a sequence where a0 = 1, a1 = −2, and an = −2an−1 −an−2 for n ≥ 2. guess an as a function of n and prove it by strong induction.
The equation holds for all n, we've proved by strong induction that the formula an = (1 + 3n)(-1)^n is correct for all n ≥ 0.
Based on the given recurrence relation, we can start computing the first few terms of the sequence:
a0 = 1
a1 = -2
a2 = -2a1 - a0 = -2(-2) - 1 = 3
a3 = -2a2 - a1 = -2(3) - (-2) = -8
a4 = -2a3 - a2 = -2(-8) - 3 = 19
a5 = -2a4 - a3 = -2(19) - (-8) = -30
...
From these calculations, it's difficult to spot a pattern or function that describes the sequence, so we'll use strong induction to prove a general formula for the nth term.
First, let's assume that the formula for an is of the form an = A(1)⋅r1n + A(2)⋅r2n, where A(1) and A(2) are constants to be determined, and r1 and r2 are the roots of the characteristic equation r2 + 2r + 1 = 0, which is obtained by substituting an = r^n into the recurrence relation and solving for r.
Factoring the quadratic equation, we get (r+1)^2 = 0, so r = -1 is a repeated root. This means that the general solution is of the form an = (A + Bn)(-1)^n, where A and B are constants determined by the initial conditions a0 = 1 and a1 = -2.
To find A and B, we use the initial conditions:
a0 = 1 = A + B(0)(-1)^0 = A
a1 = -2 = A + B(1)(-1)^1 = A - B
Solving for A and B, we get A = 1 and B = 3. Therefore, the formula for the nth term is:
an = (1 + 3n)(-1)^n
Now we need to prove that this formula holds for all n ≥ 0. We'll use strong induction and assume that the formula holds for all k < n. Then we'll show that it holds for n as well.
Substituting the formula into the recurrence relation, we get:
an = -2an-1 - an-2
(1 + 3n)(-1)^n = -2(1 + 3(n-1))(-1)^(n-1) - (1 + 3(n-2))(-1)^(n-2)
Simplifying this equation, we get:
(-1)^n = (-1)^n
Since the equation holds for all n, we've proved by strong induction that the formula an = (1 + 3n)(-1)^n is correct for all n ≥ 0.
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45 is 0.9% of what number
Answer:
0.405
Step-by-step explanation
45 x 0.9%= 0.405
Answer:
x = 5000
Step-by-step explanation:
Let us say 45 is 0.9% of x
=> 0.9% × x = 45
=> 0.9/100 × x = 45
=> x = 45 × 100/0.9
=> x = 4500/0.9
=> x = 45000/9
=> x = 5000
NEED HELP WITH THIS ASAP!!
Find the value of x, y, and z. (see picture)
z=72°+57°(EXTERIOR ANGLES OF A TRIANGLE)
z=129°
x+57°=180°(ANGLES ON A STRAIGHT LINE)
x=180°-57°
x=123°
y+72°=180°(ANGLES ON A STRAIGHT LINE)
y=180°-72°
y=108°
HOPE THIS HELPS.
Drag each lable to the correct location
crops based on wether they were originally grown in europe
The matchup are:
hunter-gatherers - their diet was mainly meat from wild animals , they did not own many things.farmers - they owned land and property , they depended on domesticated plants and animals for food.What is the statements about?Individuals who possess their own piece of land and cultivate their own crops are known as farmers.
In essence, hunter-gatherers primarily hunt for their sustenance. They possess arms and venture into the woods or fields to hunt and procure sustenance. They consume the fruits of their own labor by relying on their ability to obtain food.
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Can someone Help me with this pls
Answer:
You need to add 30+21=51 Students
What is the solution of the inequality shownbelow?x-1< -10
x - 1 < -10
add 1 to both sides
x - 1 + 1 < -10 + 1
x < -9
a publisher reports that 26% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 100 found that 17% of the readers owned a laptop. determine the p-value of the test statistic. round your answer to four decimal places.
Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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R is the midpoint of segment PS, Q is the midpoint of segment RS. P is located at (10,-2) and S is located at (5,4). What are the coordinates of Q?
Answer:
(6.25,2.5)
Step-by-step explanation:
Only an answer please please
Answer: 41
Step-by-step explanation: r= 3c+ 5
3 (12) +5 36+5= 41
Answer:
B 35
Step-by-step explanation:
the value goes up by six in each box
which function in the random library will generate a random integer from 0 to the parameter value inclusive?
The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function
What is a function?Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.
What are parts of a function in coding?Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.
From the above definition, we get that
The function in the random library will generate a random integer from 0 to the parameter value inclusive is random.randint() function
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1.
(04.02 LC)
Which of the following is a common characteristic of a binomial distribution? (4 points)
There are more than two possible outcomes.
The probability of success is the same in all trials.
There are infinitely many observations.
You should perform x trials until you observe a success.
Each trial is dependent on the previous trial.
Answer: The probability of success is the same in all trials.
The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.
What is the independent probability?Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.
You should perform x trials until you observe a success.
We have given that,
There are exactly two possible outcomes success and failure.
We have to determine the following is NOT a common characteristic of a binomial distribution.
By process of elimination:-
A binomial experiment is a statistical experiment that must meet certain requirements
All trials are independent.
There are a fixed number of n trials.
The probability of success, p, is the same for each trial.
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Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is.
The probability that the sample contains 2 female voters is 0.31104
Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.
Probability that a random voter is female is 0.40(p).
Sampled voters are 6(n).
Let X be the number of females in the sampled voters.
Then,
X∼ Bin (n, p)
∼Bin (6,0.4)
Probability that the sample contains exactly 2 female voters is,
P (X =2) = 6C2 (0.4)2 (1−0.4)6−2
=0.31104
Therefore, the probability that the sample contains exactly 2 female voters is 0.31104
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2) a researcher stands on a street corner in harrisonburg, and asks people who pass by them to complete a survey. what type of sampling strategy are they using and why do you think so?
The researcher is using convenience sampling as their sampling strategy. Convenience sampling involves selecting participants who are readily available and easily accessible.
In this case, the researcher is approaching people who pass by them on a street corner, which is a convenient and accessible location.
Convenience sampling is often used when time, resources, or logistics constraints make it challenging to implement more rigorous sampling methods. While convenient, this sampling strategy may introduce bias and may not represent the larger population accurately. People who pass by a specific street corner may not be representative of the entire population of interest, leading to potential sampling bias.
However, convenience sampling can be useful for obtaining quick insights or conducting exploratory research. It allows researchers to collect data efficiently and can serve as a starting point for further investigation. Nevertheless, it is important to acknowledge the limitations and potential biases associated with convenience sampling when interpreting the results.
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a researcher is interested in the relationship between happiness and gpa of high school students. after surveying 50 students, he determines that there is a correlation between these two variables of .90. this is considered a: group of answer choices strong negative linear correlation strong positive linear correlation weak negative linear correlation weak positive linear correlation
The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.
This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.
It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.
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HELP ME PLEASE BRAINIEST IF CORRECT BEEN STUCK ON THIS FOR HOURS AND THIS IS DUE AT 11:59pm and it is 11:46pm!!!!
Here's the Answer :
A. linear equation B. not a linear equation C. linear equation D. linear equation E. not a linear equation F. linear equation G. not a linear equation H. linear equationfor every linear equation value is 4 and for a non - linear equation value is 12
so, let's solve for the code :
\(\dfrac{12(4+4)+12(12+4-4)}{4}\)\(\dfrac{(12×8)+(12×12)}{4}\)\(\dfrac{96+144}{4}\)\(\dfrac{240}{4}\)\(60\)Answer:
84
Step-by-step explanation:
A is linear.
B is not linear.
C is linear.
D is linear.
E is not linear.
F is linear.
G is not linear.
H is not linear.
So, solve for \(\frac{12(4 + 12) + 12(12 + 4 - 4)}{4}\), which equals 84.
PLEASE MARK AS BRAINLIEST!!!!!Triangle ABC has a perimeter of 22cm
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle
PLSSS HELPPPP
luna sold 2 pairs of her old jazzy jumper sneakers at the step again secondhand store. before she left, luna spent $12 of her earnings on a used pair of dress shoes. she had $6 remaining. which equation can you use to find the amount of money, x, luna received for each pair of sneakers?
Luna received 9 dollar for each pair of sneakers. She got total 18 dollars for her 2 pairs of sneakers. The equation which we can use to find the amount of money x= total money spent+ money remained.
It is given that, total pair of jumper sneakers she sold at the secondhand market = 2 pairs.
So, total sneakers= 4
Let, she got total x dollar for her jumpy sneakers.
So, here, total money spent= 12 dollars
total money left with her= 6 dollars
Hence, x= 12+ 6 dollars = 18 dollars.
So, total money she got = 18 dollars.
Money for each pair of sneakers= 9 dollars.
Equation for x= total money spent+ money left with her.
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