According to trigonometry, the ground distance covered by the plane is approximately 478.7 feet, rounded to the nearest tenth.
What is trigonometry?
The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations.
The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations.
There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc).
The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.
To draw a diagram of the situation:
\(tan(28°) = opposite / adjacent\\tan(28^{0}) = 250 / x\\x = 250 / tan(28^{0})\\ x= 478.7 ft\)
Therefore, the ground distance covered by the plane is approximately 478.7 feet, rounded to the nearest tenth.
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find x and y please explain really well
Answer:
x=10,y=120
Step-by-step explanation:
3x-30=60 CDA
3x=30
x=10
again,
y+60=180 straight line
y = 120
The sum of one-fifth of a number and two is five
Answer:
15
Step-by-step explanation:
Let us first write an equation where the unknown number is represented with variable x. The sum of a fifth of x and two is five:
\(\frac{1}{5} x+2=5\)
Great! Let's solve for x by isolating the variable.
\(\frac{1}{5}x=3\\x=15\)
Therefore, the unknown number is 15.
I hope this helps! Let me know if you have any questions :)
School starts at 2:50 pm. The school day is 6 hours and five minutes when does school start
Answer:
845 am
Step-by-step explanation:
Answer:
8:45 Am
Step-by-step explanation:
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 20 in
x 20 in x 15 in. The company rents a storage space that measures 400 ft x
200 ft x 40 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 6000 boxes
O B. 320,000 boxes
O c. 552,960 boxes
O D. 921,600 boxes
921,600
Step-by-step explanation: Ap3x
If a = 2 and b= -3, find the value of 2ab + 3b
Answer:
-21
Step-by-step explanation:
-12+(-9)= -21
Answer:
-21 is the answer to this question
In how many ways you can put 20 books on 50 shelves so that there is not more than one book on a shelf?
9514 1404 393
Answer:
47129212243960 ≈ 4.713×10^13 if order doesn't matter114660755112113373922453094400000 ≈ 1.147×10^32 if it doesStep-by-step explanation:
If order doesn't matter, the number is the combinations of 50 things taken 20 at a time:
50C20 = 47129212243960 ≈ 4.713×10^13
If order does matter, then the number of ways is this value multiplied by 20!:
50P20 = 114660755112113373922453094400000 ≈ 1.147×10^32
_____
nCk = n!/(k!(n-k)!)
nPk = n!/(n-k)!
A researcher carefully calculates the correlation coefficient and gets a value of r=1.23. What does this value mean?
A mistake was made.
The variables have a weak, positive relationship
The variables have a strong positive relationship
The variables have a strong negative relationship
If correlation coefficient gets a value of r=1.23. It means that A mistake was made.
Correlation coefficient is the measure of the correlation that exists between two variables.The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive. when one decreases as the other increases it is negative.If correlation coefficient \(r=1.23\) then a mistake was made. Because range of correlation coefficient is from -1 to 1.
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Find the value of x so that the figures have the same perimeter.
Answer:
2
Step-by-step explanation:
2x+2=6 (as given in other figure)
2x= 6-2
x= 4/2 = 2
To check
PERIMETER OF RECTANGLE
2(l+b)
2(6+2)
2×8
16 of both the figures
Which statement is true about the angle bisectors of a triangle?
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
There are missing details, which is why its solution is as follows:
When an angle bisector points so, its two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions. In such a single point, calling its incentives, follow three-angle engineers are required of its three triangle angles.
Referring to the Fig. in Question #42, give the coordinates
of the point Y in the format (x,y).
Answer:
(x, y) = (0, -3)
Step-by-step explanation:
The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.
The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.
(x, y) = (0, -3)
_____
U(-5, 0)
V(-3, 3)
W(5, 5)
X(-4, -5)
Y(0, -3)
Z(2, -1)
It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.
Find the number of ways of arranging N people in a straight line, if two particular people must always be separate
Answer:
N! - 2(N - 1)!
Step-by-step explanation:
It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.
The number of ways N people can be arranged in a straight line without restriction = N!
The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people
= (N - 1) * 2 * (N - 2)!
= 2 (N - 1)!
So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!
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For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Which of the following is parallel to the equation of the following equation 3 x + 2 y = 10 and goes through the point (4, 10)?
Answer:
y=(-3/2)x+16
Step-by-step explanation:
In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?
A: P = 11/40 + 1/4 + 1/20
B: P = 11/40 + 1/4
C: P = 11/40 + 1/4 - 1/20
D: P = 11/40 + 1/4 - 1/10
P = 11/40 + 1/4 - 1/20
=========================================================
Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
P(A) = 22/80 = 11/40 = probability of picking someone from consumer educationP(B) = 20/80 = 1/4 = probability of picking someone taking FrenchP(A and B) = 4/80 = 1/20 = probability of picking someone taking both classesSo,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
----------------
Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
Need help thank you!
Answer:
$216
Step-by-step explanation:
We know that the cost of an outfit for one team member is 10 + 26 + 18 = $54, therefore, the cost of outfits for all 4 team members will be 54 * 4 = $216.
Simplify this equation: −3(−5 + x) ≥ 3 Show all steps
I'll give brainliest to the first correct answer with an explanation and showed steps!
Answer:
Step-by-step explanation:
The safest way to begin is to remove the brackets.
-3 * - 5 -3x ≥ 3 Combine the left.
15 - 3x ≥ 3 Subtract 15 from both sides
-3x ≥ -12 Divide by -3
x ≤ -12/-3
x ≤ 4
Notice when the ≥ turned around to ≤. It can only do this when you divide or multiply to get rid of a coefficient in front of number followed by a variable.
I've made you a graph of -3(-5 + x) ≥ 3. Notice the graph shows that the largest value can be 4 just as the solution suggests.
Factor Completely
24+27v
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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Starting salaries of 130 college graduates who have taken a statistics course have a mean of $44,783. The population standard deviation is known to be $10,272. Using 99% confidence, find both of the following:
A.The margin of error:
B. Confidence interval:
A. The margin of error for a 99% confidence interval is $$2,320.75.
B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75
How to find both of the margin of error and confidence interval?PART A.
The margin of error (ME) is determined using the formula:
ME= z ∗ σ/√n
where:
z is the z-score for the desired confidence level
σ is the population standard deviation
n is the sample size
For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.
Substituting these values into the formula, we have:
ME = 2.576 ∗ 10272/√130
ME = $2,320.75
PART B
The confidence interval (CI) is determined using the formula:
CI = \(\bar{x}\) ± ME
where:
\(\bar{x}\) is the sample mean
ME is the margin of error
The sample mean is $44,783, and the margin of error is $2,320.75.
Substituting the values into the formula, we get:
CI= 44783 ± 2320.75
CI = $42,462.25 to $47,103.75
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Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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How many three-digit counting numbers are not multiples of 5?
Answer:There are 720 3-digit numbers that are not multiples of 5.
Step-by-step explanation:
What is the domain of the function y=2 x-6
Answer: The domain of the expression is all real numbers except where the expression is undefined.
Step-by-step explanation:
Which point graphed below has an x-coordinate that is less than 0 and a y-coordinate that is greater than 0? -9 8 -7 6 5 4 -3 - 2 1 M м X 1 2 3 4 5 6 7 8 9 -9-8-7 -6 -5 -4 -3 -2 -1 0 -1 012 -3 N -5 -6 -7 -8 -9 O Point L O Point M O Point N O Point o
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Please tell me if you have any questions about the solution
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Tania has a roll of cloth that is
52.5
52.5 feet long. She uses the cloth to make scarves that are each
3.75
3.75 feet long. How many scarves can Tania make?
Answer:
Tania can make 14 scarves.
Step-by-step explanation:
You get this answer by dividing 52.5 by 3.75.
First down = 25 yards.
Ball moved 6 yards closer = 25 - 6 or 19 yards.
Then 10 yards away = 19 + 10 or 29 yards.
Then 8 yards closer = 29 - 8 or 21 yar
This is the question.
At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?
A video game system and several games are sold for $668. The cost of the games is 3 times as much as the cost of the system. Find the cost of the
system and the cost of the games.
Cost of the video game system:
URGENT
the cost of the system and the cost of the games is: $501. This can be solved using the concept of equation.
What is an equation?The connection between the two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.
The total cost of the video game system and the several game = $668
Let, the cost of several game = x and
The cost of video game system = 3x
To find the cost of the system and the games
According to the problem,
or, x + 3x = 668
or, 4x = 668
or, x = $167
Hence, the cost of several game = $167 and
The cost of video game system = $3 × 167 = $501
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Which table of values matches the equation y = 3x - 3?
A dairy needs 258 gallons of milk containing 7% butterfat how many gallons each of milk containing 8% butterfat and milk containing 2% butterfat must be used to obtain the desired 258 gallons
Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.
The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.
To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.
For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).
For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).
Since we want the final mixture to contain 7% butterfat, we can set up the following equation:
0.08x + 0.02y = 0.07(258)
Simplifying the equation, we have:
0.08x + 0.02y = 18.06
To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.
Substituting this value into the equation above, we get:
0.08x + 0.02(258 - x) = 18.06
Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.
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The number 0.2 can be written as 2/10, so is it a rational number?
Answer:
yes it is
Step-by-step explanation:
Hope this helps✨