Use the distance formula! Please refer to attached image
The floor of a storage unit is 15 feet long and 8 feet wide. What is the distance between two opposite corners of the floor?
The distance between two opposite corners of the given floor is 17 feet.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that the floor of a storage unit is 15 feet long and 8 feet wide.
Let x would be the distance between two opposite corners of the floor
As per the figure, We have a right triangle with legs 15 and 8 and with hypotenuse x.
According to Pythagoras's theorem,
x² = 15² + 8²
x² = 225 + 64
x² = 289
x = √289
x = 17
Thus, the distance is 17 feet between two opposite corners.
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A golf ball of diameter 1.68 inches rolls a distance of 4m in a straight line. How many times does the ball. completely? (1 inch = 2.54cm)
Answer: 29.9
Step-by-step explanation:
We know that
1 m = 100 cm
4 m = 400 cm
Circumference of ball
= 3.14 x
= 13.37 cm
400 / 13.37
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
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What is the value of 7C2?
7!/2!
Step-by-step explanation:
nCr=(nr)=n!r!(n−r)! 7C2=(72)=7!2!(7−2)!=7!2!⋅5!=50402⋅120=5040240=21.
Look at this graph.
y
x
-100
-80
-60
-40
-20
20
40
60
80
100
-100
-80
-60
-40
-20
20
40
60
80
100
0
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of the line in the graph in slope-intercept form is: y = -5x - 30.
How to Write an Equation of a Line in Slope-intercept Form?To be able to write the equation of a line in slope-intercept form, y = mx + b, find the value of the slope (m) = rise/run, and the value of the y-intercept (b), which is the value of y where the line intercepts the y-axis.
From the given graph, we have:
Slope (m) = rise/run = -50/10
Slope (m) = rise/run = -5
The y-intercept (b) = -30
Substitute m = -5 and b = -30 into y = mx + b:
y = -5x + (-30)
y = -5x - 30
Thus, the equation of the line in the graph in slope-intercept form is: y = -5x - 30.
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abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61
Answer:
Please check the question. As written, the value is 1, which is not amoung the answers
Step-by-step explanation:
(-3 + 3) + (-2 + 3)
(-3 + 3) = 0
(-2 + 3) = 1
0 + 1 = 1
Use the Distributive Property to simplify the expression
4(c - 2)
Answer:
\(\huge\boxed{\sf{4c-8}}\)
Step-by-step explanation:
Hello.
Use the Distributive Property and distribute 4 in order to simplify the expression:
4(c-2)
4c-8 (we multiply c and -2 times 4)
I hope it helps.
Have a nice day.
\(\boxed{imperturbability}\)
In 45 minutes, i will give you three likes (a) You would like to measure wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean. The measure of the rotational speed of the axle of the device has a precision of +/-0.2 rotations/s and was calibrated in a steady wind-tunne flow at 20m/s with 10 rotations/s. Define for the below-given situations,1 to 4,the type of error (random or systematic and explain how to overcome or reduce this error. 1 2 3 4 Bearing of the axle is old Turbulent flow Icing on the cups Strong tumbling of the sailboat You would like to use it for a measure of the in-cabin air flow a quiet environment Discuss why the measurement system is not well posed for this purpose.
When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.
2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements. 3. When there is icing on the cups, the type of error that occurs is also random error.
To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.
It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.
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#15: m∠NST = ____°
need answer
Answer:
∠ NST = 59°
Step-by-step explanation:
∠ NST and ∠ LSN form a right angle , that is
∠ NST + ∠ LSN = 90
3x - 1 + 2x - 9 = 90
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Then
∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°
Which of these points represent 1/5 on the number line shown below?
Answer:
Step-by-step explanation:
Which lines are parallel justify your answer. Lines a and b are parallel because their corresponding angles are congruent
Lines a and b are parallel because their corresponding angles are congruent.
The correct option is A.
What are the corresponding angles?When two parallel lines are crossed by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
Given:
The corresponding angle of lines a and b are congruent.
That means lines a and b are parallel.
Where the lines e and f have unequal same-side exterior angles.
The diagram of the question is given in the attached image.
Therefore, a and b lines are parallel.
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Which lines are parallel? Justify your answer.
A) Lines a and b are parallel because their corresponding angles are congruent.
B) Lines a and b are parallel because their same-side exterior angles are congruent.
C) Lines e and f are parallel because their corresponding angles are congruent.
D) Lines e and f are parallel because their same-side exterior angles are supplementary.
Graph the following equation: y - 3 = (x - 2)
Answer:
Step-by-step explanation:
I took pictures of what I found and I think is right
The graph of a function contains the points (–1, –5), (2, 4), (4, 8). Is the function linear? Explain.
The function is not a linear function because the slopes of the different points are not equal,
How to determine the function type?The points are given as: (-1, -5), (2, 4), (4, 8)
Calculate the slope using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{8 -4}{4 -2} = 2\)
\(m = \frac{8 + 5}{4 + 1} = 2.6\)
Notice that the slopes of the different points are not equal,
Hence, the function is not a linear function
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What percent of 369 is 26
Answer:
7.046%
Step-by-step explanation:
100%/x=369/26
100/x×x=(369/26)×x
100=14.19231×x
100/14.192=7.046
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Answer:
Sorry if I’m wrong but is it ... 90???
Step-by-step explanation:
========================================================
Work Shown:
The given list is {95, 89, 99, 85, 82, 81, 99}
Sort this list from smallest to largest.
We then have this: {81, 82, 85, 89, 95, 99, 99}
Next we will erase the first and last items in that sorted list above
Doing so leads to this smaller list: {82, 85, 89, 95, 99}
Repeat the step from before. Erase the first and last items
We now have {85, 89, 95}
One more time lets erase the first and last items getting {89}
This shows that 89 is the very center item
Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)
Therefore, the median is 89.
----------------------------------
Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.
Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4
The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}
Note: this trick only works if you have an odd number of items in a set.
burt is making a pie chart which will represent how he spent the last 24 hours. if he slept for 2 hours, what will be the measure of the central angle, in degrees, of the slice of the pie chart representing sleep?
The measure of the central angle for the slice of the pie chart representing sleep is 30 degrees.
To find the measure of the central angle of the slice representing sleep, we need to know what percentage of the 24 hours was spent sleeping.
If Burt slept for 2 hours, then the remaining time he was awake for 24 - 2 = 22 hours.
Therefore, the percentage of time spent sleeping is
2 / 24 * 100% = 8.33%
To convert this percentage to an angle in degrees, we use the formula
Angle = Percentage * 360
So, the central angle of the slice representing sleep is
8.33% * 360 = 30 degrees (rounded to the nearest degree).
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y = -4× - 5
y = -4× + 5
6y = -24
y = -24/6
y = -4
I guess is the answer
John has a loyalty card good for a discount at his local pharmacy. The item he wants to buy is priced at $34, before discount and tax. After the discount, and before tax, the price is $33.32. Find the percent discount.
Answer:
2%
Step-by-step explanation:
(100 × (33.32 / 34 - 1)
If the sales tax for the city of Los Ángeles is 9.75% , how much tax would you pay for an item that costs $200.00
Answer:
219.50
Step-by-step explanation
9.75% can be converted into 0.0975 so multiply 0.0975 by 200 you get 19.5. add 19.5 to 200 and you get 219.50
The area of a right triangle with two equal sides of length s is 1/2s². Kelsey is making flags for
her favorite team's next hockey game. The flags are shaped like right triangles with two 8-
inch sides.
What is the area of each flag?
The area of the flag is 32 in²
Isosceles right triangle:The right-angled triangle that has two equal sides is known as the Isosceles right triangle. In other words, if an Isosceles triangle has two equal sides then the triangle is said to be an Isosceles right triangle.
The formula for the Area of an Isosceles right triangle is given by
Area = s²/2Where x is the equal sides of the triangle.
Here we have
The equal side of a right-angle triangled Flag is 8 inches
=> As we know Area right-angle triangle = x²/2
Area of the flag = 8²/2
= 64/2 = 32 inch²
Therefore,
The area of the flag is 32 in²
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100 points / i suck at this
Alison runs a mile in 5 minutes and 50 seconds. Elizabeth runs a mile in 6 minutes and 40 seconds. What is the ratio of Alison's time to Elizabeth's time?
a) 7:8
b) 5.5:6.4
c) 55:64
d) 8:7
Answer:
7:8
Step-by-step explanation:
First, convert their times to common units. You'll want to put it in seconds:
5 minutes and 50 seconds = 350 seconds
- multiply 5 minutes by 60 to get it into seconds and then add the other 50 seconds to it
- for Elizabeth's time, multiply 6 by 60 seconds and add 40 to it
To get the ratio of their times, divide Alison's time by Elizabeth's time:
350 ÷ 400 = 7:8
Answer:
a) 7:8
Step-by-step explanation:
Alison: 5 minutes and 50 seconds = 355 seconds
Elizabeth: 6 minutes and 40 seconds = 400 seconds
355:400, reduces to 71:80 or 7:8
T/F: if matrix a is row equivalent to i (identity matrix), then a is diagonalizable
False. If matrix A is row equivalent to the identity matrix I, it does not guarantee that A is diagonalizable.
The property of being row equivalent to the identity matrix only ensures that A is invertible or non-singular, but it does not necessarily imply diagonalizability.
To determine if a matrix is diagonalizable, we need to examine its eigenvalues and eigenvectors. Diagonalizability requires that the matrix has a complete set of linearly independent eigenvectors, which form a basis for the vector space. The diagonalization process involves finding a diagonal matrix D and an invertible matrix P such that A = PDP^(-1), where D contains the eigenvalues of A and P contains the corresponding eigenvectors.
While row equivalence to the identity matrix ensures that A is invertible, it does not guarantee the presence of a full set of linearly independent eigenvectors.
It is possible for a matrix to be row equivalent to the identity matrix but not have a complete set of eigenvectors, making it not diagonalizable. Therefore, the statement is false.
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Which problem can we solve with 27 : 3?
Choose 1 answer:
A
Gino had 27 walnut trees in his yard. He cut 3 down
to use for firewood. How many walnut trees does
Gino have left?
Lindsey picked 3 bags of apples. There are 27 apples
in each bag. How many apples does she have in
total?
La Tasha has 27 rabbit stickers. She splits the stickers
evenly among 3 pieces of paper. How many stickers
did La Tasha put on each piece of paper?
Answer:
La Tasha has 27 rabbit stickers. She splits the stickers
evenly among 3 pieces of paper. How many stickers
did La Tasha put on each piece of paper?
Step-by-step explanation:
A total of 84 quarters are lined up side by side on a table. You replace every second quarter with a dime .after you have completed this task, you replace every third coin with a nickel once this is completed you replace every fourth coin with a Penney what is the total value of the final 84 coins on the table
The total value of the final 84 coins on the table is $10.71
The given parameters;
total number of the quarters = 84every second quarter will be replaced by a dime = Devery third coin will be replaced by a Nickle = Nevery fourth coin will be replaced by a Penney = PThe sum of multiples of 2 between 2 and 84 inclusive:
\(= \frac{84 - 2}{2} + 1 = 42\)
The maximum number of Dimes in the first replacement = 42
The sum of multiples of 3 between 3 and 84 inclusive:
\(= \frac{84 - 3}{3} + 1 = 28\)
The maximum number of Nickle in the second replacement = 28
The sum of multiples of 4 between 4 and 84 inclusive:
\(= \frac{84 - 4}{4} + 1 = 21\)
The maximum number of Penny in the third replacement = 21
The sum of multiples of will 2 reduce as we introduce multiples of 3 and multiples of 4 because of overlap in multiples of 6 for 2 & 3, and multiples 4 for 2 $ 4.
We are going to remove this overlap in the sum of multiples of 2.
The sum of multiples of 6 between 6 and 84 inclusive:
\(= \frac{84 - 6}{6} + 1= 14\)
The sum of multiples of 4 between 4 and 84 inclusive = 21
The new sum of multiples of 2 only = 42 - (14 + 21) = 7
The total number of dime = 7
The sum of multiples of 3 will reduce after we introduce multiples of 4 because of overlap in multiples of 12;
The sum of multiples of 12 between 12 and 84 inclusive:
\(= \frac{84-12}{12} + 1= 7\)
The new sum of multiples of 3 only = 28 - (7) = 21
The total number of Nickle = 21
There is no replacement for multiples of 4 because it is the last.
The total number of Penny = sum of multiples of 4 = 21
The total value of the final coins on the table is calculated as;
the sum of quarters not replaced = 84 - (7 + 21 + 21) = 35 quarters
total value of the coins = 35 quarters + 7 Dimes + 21 Nickels + 21 Penny
total value of the coins = 35($0.25) + 7($0.1) + 21($0.05) + 21($0.01)
total value of the coins = $10.71
Thus, the total value of the final 84 coins on the table is $10.71
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if the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
Answer:
The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%
If the price of popcorn increases, what would you expect would happen to the market for popcorn?A. There would be a movement along the demand curve, and the quantity demanded increases.B. There would be a movement along the demand curve, and the quantity demanded decreases.C. There would be a shift to the left of the demand curve.D. There would be a shift to the right of the demand curveE. There would be a shift to the left and then to the right of the demand curve
When the price of popcorn increases, we would expect to see a movement along the demand curve in the market for popcorn, leading to a decrease in the quantity demanded. Therefore, the correct answer is B: There would be a movement along the demand curve, and the quantity demanded decreases.
This is due to the law of demand, which states that as the price of a good or service increases, the quantity demanded decreases, all other things being equal. In this case, the higher price of popcorn makes it relatively more expensive compared to other goods, which reduces the quantity demanded. As a result, consumers may look for substitute goods or decrease their consumption of popcorn. Therefore, we would not expect to see a shift in the demand curve itself, as the change in price would not fundamentally alter the underlying demand for popcorn.
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a data analyst notices that two variables in their data seem to rise and fall at the same time. they recognize that these variables are related somehow. what is this an example of?
This is an example of correlation. Correlation is a statistical measure that describes the relationship between two variables.
A correlation coefficient (r) ranges from -1 to 1, indicating the strength and direction of the relationship.
A coefficient of 1 indicates a perfect positive correlation, meaning that the variables move in the same direction together.
A coefficient of -1 indicates a perfect negative correlation, meaning that the variables move in opposite directions.
A coefficient of 0 indicates no correlation, meaning that the variables are not related.
The variables that the data analyst is observing, that seem to rise and fall at the same time, are positively correlated. This means they are moving in the same direction and as one variable increases, the other variable is also likely to increase.
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Which panda was heavier when born
Answer: The one on the left.
Step-by-step explanation:
There is no file, but the panda on the left is bigger.
HELP ASAP, i don't get this