Since, we have to find the sides of the given triangle we will make it a right angle triangle.
Construction: Extend XY to 1 unit and name it Z and join the point W with Z.
Now, the triangle YWZ is a right angle triangle where
YZ = 1 unit
WZ = 3 units
Then \(WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }\) [By Pythagoras Theorem]
= \(WY = \sqrt{(1)^{2}+ (3)^{2} }\)
= \(WY = \sqrt{(10) }\)
= \(WY = 3.16\) units
Now, the triangle XWZ is also a right angle triangle where
XZ = 3 units
WZ = 3 units
Then \(WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }\) [By Pythagoras Theorem]
= \(WX = \sqrt{(3)^{2}+ (3)^{2} }\)
= \(WX = \sqrt{18\)
= \(WX =4.23\) units
Now, In triangle XYW
XY = 2 units
WY = 3.16 units
WX = 4.23 units
∴ The perimeter of the triangle XYW will be
XY + WY + WX
= 2 + 3.16 + 4.23
= 9.39 units
To the nearest hundred, 9.39 rounds to 9
⇒ The perimeter of the triangle XYW is 9 units.
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Change one number in the equation below to safely land the plane. Y=4x-7
Answer:
the partial pressure of 02is 17.9
Answer:
y=.5x+-7
Step-by-step explanation:
Hate to be adding this so late but I hope this can help out others it is very confusing and I finally achieved it but I don't really know it was very confusing and you had to go for a decimal since if you didn't the graph went way off the screen.
what is the value of ???????
Answer:
70
Step-by-step explanation:
60 + 65 + x = 180
x + 125 = 180
x = 55
55 + 50 + y = 180
y + 105 = 180
y = 75
75 + 35 + ? = 180
? + 110 = 180
? = 70
A typical oak tree is 54 feet tall. if water moves through the tree at a rate of 0.4 inches/minute, how long will it take to send water to the top of the tree? quizlet
Answer:
1 620 minutes or 27 hrs
Step-by-step explanation:
look at attachment
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas? $
Answer: The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.
Step-by-step explanation: Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.
We are to find the price per pound of apples and bananas.
The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.
Then, according to the given information, the system of equations describing the situation is as follows:
Multiplying equation (i) by 2, we have
and multiplying equation (ii) by 3, we have
To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at
From equation (i), we get
Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.
Answer:Bro the answer is price per pound of apples is $1.25
and the price per pound of bannanas is $0.75
7th Grade Advanced Math
Please answer my question no explanation is needed.
Marking Brainliest
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
A probability can be classified as experimental or theoretical, as follows:
Experimental -> calculated after previous trials.Theoretical -> calculate before any trial.The dice has eight sides, hence the theoretical probability of rolling a six is given as follows:
1/8 = 0.125 = 12.5%.
(each of the eight sides is equally as likely, and a six is one of these sides).
The experimental probabilities are obtained considering the trials, hence:
100 trials: 20/100 = 0.2 = 20%.400 trials: 44/400 = 0.11 = 11%.The more trials, the closer the experimental probability should be to the theoretical probability.
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B: Describe the following solid figures
Solid Figures Description
1. Cube
2. Rectangular prism
3. Pyramid
4. Cone
5. Cylinder
6. Sphere
The solid figures are cube, rectangular prism, pyramid, cone, cylinder, and sphere, each with distinct features such as the number of faces, vertices, edges, and their shapes.
Cube: A cube is a solid figure that has six square faces of equal size. It has eight vertices and 12 edges, all of the same length. Each face of the cube is perpendicular to the adjacent faces.
Rectangular prism: A rectangular prism is a solid figure with six rectangular faces, where opposite faces are congruent and parallel. It has eight vertices and 12 edges. The length, width, and height of a rectangular prism can all be different.
Pyramid: A pyramid is a solid figure that has a polygonal base and triangular faces that meet at a common vertex. The shape of the base determines the name of the pyramid. For example, a pyramid with a square base is called a square pyramid, while a pyramid with a triangular base is called a triangular pyramid.
Cone: A cone is a solid figure that has a circular base and a curved surface that tapers to a point called the apex. The height of a cone is the distance from the apex to the center of the circular base. The radius of the base is also an important measure.
Cylinder: A cylinder is a solid figure that has two circular bases of equal size and shape that are parallel to each other. The curved surface that connects the two bases is called the lateral surface. The height of a cylinder is the distance between the two bases, and the radius of the base is also an important measure.
Sphere: A sphere is a solid figure that has all points on its surface equidistant from a center point. It is a perfectly round shape, with no corners or edges. The radius of a sphere is an important measure, as it determines the size of the sphere.
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You decide to begin selling caramel apples at the local star wars convention. Your cost for each caramel apple is $0.75 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each caramel apple for $2.80. Write a function, C(n), to represent your total costs for the week if you sell n caramel apples. C ( n )
The total cost for the week can be calculated by adding the cost of producing the caramel apples (0.75n) to the fixed cost of the booth ($120), which gives us the function C(n) = 0.75n + 120.
C(n) = 0.75n + 120
A function is a rule that assigns a unique output value to each input value. A function can be thought of as a machine that takes in an input and produces an output based on a set of instructions. The input and output values can be numbers, but they can also be other types of data, such as text or images.
Functions are an important concept in mathematics and are used in a wide range of fields, including science, engineering, economics, and computer science. They are often used to model relationships between different variables and to make predictions based on data. There are many types of functions, including linear functions, quadratic functions, exponential functions, and trigonometric functions. Each type of function has its own unique properties and can be graphed to help visualize the relationship between the input and output values.
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Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one classification. 1. -98 2. 1.98 3. 1270 4. 1,232,323
add
8/9 + 2/3 + 1/6
A 11/18
B 11/15
C 1 13/18
D 1 2/9
Answer:
Option C. 1 13/18
Step-by-step explanation:
8/9 + 2/3 + 1/6
Taking LCM as 18
8/9 × 2/2 + 2/3 × 6/6 + 1/6 × 3/3
16/18 + 12/18 + 3/18 = 31/18 = 1 13/18
Graph quadrilateral WXYZ with vertices W(-3,4), Y(2,4), W(3,-1), and Z(-2,-1) to determine its most precise name. PLEASE HURRY 30 POINTS TO THE FIRST PERSON THAT ANSWERS AND I WILL MAKE THEM BRAINLIEST!!!
The most precise name for the quadrilateral WXYZ is a parallelogram
How to determine the name for the quadrilateral?From the question, we have the following parameters that can be used in our computation:
Quadrilateral WXYZ with vertices W(-3,4), Y(2,4), W(3,-1), and Z(-2,-1)
Next, we plot the vertices W(-3,4), Y(2,4), W(3,-1), and Z(-2,-1) on a graph
See attachment for the graph
From the attached graph, we can see that:
The quadrilateral has a pair of parallel sides
This means that the best name is a parallelogram
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What is the midpoint of the segment shown below?
Answer:
It is C (4,3). Hope it helps.
Answer:
C. (4,3)
Step-by-step explanation:
To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.
pls pls pls helpjust need the answer
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
Find the sum of 1\5 And 7\10. The expression Written in equivalent form with Common denominator is.... The sum is.....
The Solution:
Given the fractions below:
\(\frac{1}{5}\text{ and }\frac{7}{10}\)We are asked to find the sum of the above two fractions.
\(\frac{1}{5}+\frac{7}{10}\)The Lowest Common Multiple (LCM) of 5 and 10 is 10
\(\frac{2+7}{10}=\frac{9}{10}\)Thus, the correct answer is
\(\frac{9}{10}\)Your family drives to 3 locations on a trip. The distance between the locations is 47.8, 72, and 65.9 miles. What is the total number of miles driven?
Answer: 185.7 miles
Step-by-step explanation:
To find the total distance, add the smaller distances together.
47.8 + 72 + 65.9 = 185.7
the following table contains figures on the monthly volume and unit costs for a random sample of 16 items from a list of 2,000 inventory items. the company classifies products with annual dollar volume of $10,000 or more as a items and products with annual dollar volume of $2,000 or less as c items. a) develop an abc classification for these items. a file labeled abc data.csv is available on t-learn. b) what is the percentage of items stocked in each classification group?
A: 75% of items are classified as C items, 18.75% as B items, and 6.25% as A items.
A-B-C examination is an instrument utilized for stock administration, which orders things into three classifications: A, B, and C, in light of their worth and significance. Classification A things have a high worth however a low volume, and their administration requires close consideration and control. Class B things have moderate worth and volume and require moderate control. Classification C things have a low worth yet a high volume, and their administration can be loose. The reason for the examination is to recognize which things need the most consideration and control, and which things can be dealt with less consideration and cost-actually. The examination assists in streamlining with reviewing levels, decreasing expenses, and expanding benefits.
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Help plz:))) I’ll mark u brainliest
ASAP!!!!!
Answer:
X= 24
la neta no se
Answer:
x = 8.3
Step-by-step explanation:
Triangles always equal to 180 degrees when taking about angles.
The equation would be:
30+(11x+5)+(-5+7x)= 180
add like variables:
30+5-5 = 30
11x+7x = 18x
put them into an equation:
18x +30= 180
cancel out:
18x+30=180
-30 -30
18x = 150
Divide:
18x = 150
÷ 18 ÷18
x = 8.3
This is an estimate as the answer in the calculator would be very long.
There are two schools and both schools have the same number of students. hillary high is an all girl school. barack academy is an all boy school. each school is holding a dance. a bus is completely filled with boys from the academy and the bus takes the boys over to hillary high ti attend the dance that is being held at barack academy. the same bus is filled with a combination of boys and girls. they travel back over to barack academy to attend that dance. at that time, does hillary high have more boys on campus than barack academy have girls on campus, or is it the other way around?
After the boys from Barack Academy travel to Hillary High and then return with a combination of boys and girls, Hillary High will have more boys on campus compared to the number of girls at Barack Academy.
Based on the given information, we can determine that both schools initially have the same number of students. The boys from Barack Academy board the bus and travel to Hillary High for a dance. Afterward, the bus is filled with a combination of boys and girls and they travel back to Barack Academy for another dance.
Since all the boys from Barack Academy initially leave the school and then return with a combination of boys and girls, it can be inferred that the number of boys on campus at Barack Academy remains the same or increases (if some boys from Hillary High join them).
On the other hand, at Hillary High, the girls who stay at the school are joined by a combination of boys and girls from the other school. Therefore, it can be inferred that the number of boys on campus at Hillary High increases.
Based on this analysis, it can be concluded that after the events described, Hillary High would have more boys on campus than Barack Academy would have girls on campus.
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The citizens of a state may only register to vote after proving to have submitted their census survey.
The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.
What is census survey?In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.
The purpose of census survey are-
We obtain this information by posing questions to members of the household regarding the occupants of the home, apartment, mobile home, or group housing.The census helps our communities decide where to build everything from homes to hospitals, from schools to supermarkets, and it provides information about who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.It aids in predicting the nation's economic needs, such as those for electricity, housing, food, etc. figuring out the country's population size, standard of life, and number of unemployed people.To know more about census, here
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The complete question is-
The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)
Prove that the first player has a winning strategy for the game of Chomp, introduced in Q Example 12 in Section 1.8, if the initial board is two squares wide, that is, a 2 x n board. (Hint: Use strong induction. The first move of the first player should be to chomp the cookie in the bottom row at the far right.]
We are supposed to prove that the first player has a winning strategy for the game of Chomp if the initial board is two squares wide.
Let us assume that the board is of 2 x m size.
Then by using c we will prove that the first player has a winning strategy.
Base Case: If the board is 2 x 1, then the only square left is the bottom left square, so the second player will take it and win the game.
Inductive Hypothesis: Assume that for some positive integer k, whenever we have a board with 2 x m squares, where 1 ≤ m ≤ k, the first player has a winning strategy.
Inductive Step: Now we must prove that the first player has a winning strategy for a board of size 2 x k + 1.
The first move of the first player is to chomp the cookie in the bottom row at the far right. This leaves a board of size 2 x k.
By the inductive hypothesis, the first player has a winning strategy for this board. Therefore, the second player has to make the second move.
He can either chomp a cookie in the bottom row to the left of the chomped cookie or a cookie in the top row. If he chomps a cookie in the bottom row, the first player uses the same strategy as for a board of size 2 x k. If he chomps a cookie in the top row, the first player chomps the corresponding cookie in the bottom row, leaving a board of size 2 x k. By the inductive hypothesis, the first player has a winning strategy for this board.
Therefore, the first player has a winning strategy for a board of size 2 x k + 1 whenever he starts by chomping the cookie in the bottom row at the far right.
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Differentiate the function. \[ f(t)=-3 t^{3}+6 t+2 \] \[ f^{\prime}(t)= \]
To find the derivative, we differentiate each term of the function using the power rule. The derivative of the function f(t) = -3t^3 + 6t + 2 is f'(t) = -9t^2 + 6.
The derivative of a function is the rate of change of the function. In other words, it tells us how much the function is changing at a given point. The derivative of a function is denoted by f'(t).
To find the derivative of f(t) = -3t^3 + 6t + 2, we can use the power rule. The power rule states that the derivative of t^n is n * t^(n-1).
So, the derivative of f(t) is:
f'(t) = -3 * d/dt(t^3) + 6 * d/dt(t) + d/dt(2)
= -3 * 3t^2 + 6 * 1 + 0
= -9t^2 + 6
Therefore, the derivative of the function f(t) = -3t^3 + 6t + 2 is f'(t) = -9t^2 + 6.
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suppose a population was normally distributed with a mean of 10 and standard deviation of 2 . What proportion of the scores are below 12.5? Choose the correct answer 75% 77.8% 92% 89.44% Cannot be calculated
The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.
The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.
Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.
In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.
The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.
Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.
Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.
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216,777777 to 2 decimal places
The round-off of the number 216,777777 to 2 decimal places is 216.78.
What is the rounding off to the number?When a number is rounded off, its value is preserved while it is moved closer to the next number. simplifying the number. It is done for whole numbers as well as decimals at different places of hundreds, tens, tenths, and so on.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. If the number after it is between 5 and 9, it will be rounded up to its higher value.
To round 216,777777 to 2 decimal places, we look at the third decimal place, which is 7. Since 7 is greater than or equal to 5, we round up the second decimal place, which is 7. Therefore, 216,777777 rounded to 2 decimal places is 216,78.
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Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?
If a population distribution is skewed to the right, then, given a random sample from that population, one would expect that the ________.
Answer: median would be less than the mean.
What is the multiplicative inverse of 7/6
Answer:
\(\frac{6}{7}\)
Step-by-step explanation:
Given a number n then the multiplicative inverse is \(\frac{1}{n}\)
Thus
the multiplicative inverse of \(\frac{7}{6}\) is \(\frac{1}{\frac{7}{6} }\) = \(\frac{6}{7}\)
what is the equation a line passes through the points p(2,4) q(-1,3)
Find the maximum value of s=xy yz xz where x y z=21
The maximum value of s is 9261, which is obtained when x = y = z = 7.
To find the maximum value of s=xyz, we can use the AM-GM inequality, which states that the arithmetic mean of a set of non-negative numbers is greater than or equal to the geometric mean of the same set of numbers.
Mathematically, this can be represented as:\((1/3)(x + y + z) \geq (xyz)^(1/3)\)Multiplying both sides of the inequality by\(3(xyz)^(1/3)\),
we get: \((x + y + z) \geq 3(xyz)^(1/3)\) Now,
we can substitute the given value of x + y + z = 21, to obtain: 21 ≥ \(3(xyz)^(1/3)\)
Cubing both sides of the inequality, we get: \(21^3 \geq 27(xyz)\)
Simplifying the expression, we obtain: s=\(xyz \leq (21^3)/27\)= 9261.
The maximum value of s=xyz is obtained when x = y = z = 7, and the value of s is equal to 9261. This result is obtained using the AM-GM inequality, which is a useful tool for solving optimization problems involving non-negative numbers.
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Slope of the line that passes through (5,-4) and (7,-4)
Jada thinks that if she gets at least 92 out of 100 on the final test, she will get an A in the class. Do you agree? Explain.
she Will get an A- ........
Answer:
yes she gets A- but its passing so yay
Step-by-step explanation:
Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.
Answer:
y=mx+b
y=35+5x
Step-by-step explanation: