The width of the rectangle is: 33m, by Pythagoras theorem.
What is Pythagoras Theorem?The Pythagorean Theorem describes a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.Now,
given:
Length of rectangle = 56m (say, l)Diagonal = 65m (say, d)TO find: Width of rectangle = ? (say, w)
Finding:
BY Pythagoras theorem, in the rectangle ABCD,
For l = AB, w = BC and d = AC,
=> l² + w² = d²
Ob substituting the values, we get: 56² + w² = 65²
=> w² = 65² - 56²
=> w² = 4225 - 3136
=> w² = 1089
=> w = 33m
Hence, for the given values of rectangle, the width of the rectangle is 33m by Pythagoras Theorem.
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Helppp and explain pls and ty
What is the quotient if 24 is divided by 487 2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long did she use for each frame? 3. Father left P15.00 for his 2 children. How much did each child receive? 4. Mang Ricky is a hardworking man who owns 4 hectares of land. In his will, he divided his lot equally among his 8 sons. How much land did each of his son receive? 5. Troy and Raffy went to the market to buy 3 kilos of pork. When they came home, they divided the meat into 5 parts and put it in plastic bags for future use. How many kilos of pork does each bag contain?
Each bag contains 0.6 kilos of pork.
1. The quotient if 24 is divided by 487:
When we divide 24 by 487, we get the quotient as 0.0493.
2. The length Jean used for each frame:
Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. We can divide 35 by 50 to find out how long each piece should be.
Therefore, Jean used 0.7 m for each frame.
3. How much each child received:
Father left P 15.00 for his 2 children. To find out how much each child received, we can divide 15 by 2. Each child received P 7.50.
4. Mang Ricky owns 4 hectares of land. He divided his lot equally among his 8 sons. To find out how much land each son received, we can divide 4 by 8. Each of his son received 0.5 hectares of land.
5. The number of kilos of pork in each bag:
Troy and Raffy went to the market to buy 3 kilos of pork. They divided the meat into 5 parts and put it in plastic bags for future use. To find out how many kilos of pork each bag contains, we can divide 3 by 5. Each bag contains 0.6 kilos of pork.
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MISS GORL, MISS TOYLOR, MISS JUDGE, HELP ASAP THANKS LOVE YOU QT
Answer: 15cm (A)
Step-by-step explanation: Gimmie brainliest plz
Answer:
15cm
Step-by-step explanation:
A fruit store purchases 10000 apples. It sells of the
1/2 of the remaining apples per day. Calculate the number of apples left
after 5 days. Round your answer to the nearest whole number.
Number of apples left:
??
Step-by-step explanation:
?? I do not know maybe someone knows
Function graphing
Sketch a graph of the function f(x) = - 5 sin 6 5 4 3 2 -&t -7n -65-4n -3n-2n - j -2 -3 -4 -5 -6 + - (a) 27 3 4 5 \ / 67 8
To sketch the graph of the function `f(x) = - 5 sin 6 5 4 3 2 -&t -7n -65-4n -3n-2n - j -2 -3 -4 -5 -6 + - (a) 27 3 4 5 \ / 67 8`, we first need to identify its key features, which are:Amplitude = 5
Period = 2π/6
= π/3
Phase Shift = 2
The graph of the function `f(x) = - 5 sin 6x + 2` can be obtained by starting with the standard sine graph and making the following transformations:Reflecting it about the x-axis by multiplying the entire function by -1.
Multiplying the entire function by 5 to increase the amplitude.
Shifting the graph to the right by 2 units.For the specific domain provided in the question, we have:27 < 6x + 2 < 67 or 25/6 < x < 65/6.
This gives us a range of approximately 4.17 ≤ x ≤ 10.83.
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Justify the last two steps of the proof please!
The justification for the third step of the proof as given in the task content is; Reflexive property of ~; SSS.
The justification for the fourth step of the proof as required is; Symmetric Property of ~; SSS.
Triangle congruence theorems.Recall that the; Reflexive Property as used in mathematical operations is such that: x = x. Therefore, the length of line segment ST and the length of line segment TS are equal and the segments are congruent.
Also, it follows from the task content that ∆RST ~ ∆UTS which means that both triangles are congruent by the Symmetric Property of SSS.
Ultimately, the justification for steps 3 and 4 are therefore, Reflexive Property of mathematical operations and the Symmetric property of SSS respectively.
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When a shoulder-type eyebolt is pulled at an angle, which one of the following is not correct
Without the specific options provided, it is challenging to determine which statement regarding a shoulder-type eyebolt being pulled at an angle is incorrect.
I can provide some general information about shoulder-type eyebolts and their behavior when subjected to forces at an angle.
A shoulder-type eyebolt is pulled at an angle, several factors come into play that can affect its performance.
Here, I will discuss four aspects related to the behavior of shoulder-type eyebolts under such circumstances.
Load Capacity:
A shoulder-type eyebolt is designed to withstand vertical loads.
When a load is applied at an angle, it introduces a shear force component that the eyebolt may not be able to handle.
This can potentially reduce its load capacity and compromise its integrity.
Misalignment:
Pulling the eyebolt at an angle can cause misalignment between the load and the axis of the eyebolt.
This misalignment can lead to increased stress concentration on certain parts of the eyebolt, potentially leading to failure or reduced load capacity.
Bolt Alignment:
Shoulder-type eyebolts rely on a straight line of force transmission for optimal performance.
When pulled at an angle, the bolt may experience bending or twisting forces, which can cause the load to be distributed unevenly and compromise its load-carrying capabilities.
Friction and Wear:
The shoulder of the eyebolt that rests against the load surface may experience increased friction when pulled at an angle.
This friction can result in increased wear on the shoulder, potentially reducing the overall strength and durability of the eyebolt.
It is essential to consider these factors to ensure safe and reliable use. Without further information, it is difficult to determine which of the options provided is not correct, as the context of the options is not given.
The behavior of shoulder-type eyebolts when pulled at an angle is influenced by factors such as load capacity, misalignment, bolt alignment and friction.
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What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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Which form most quickly reveals the y-intercept? Choose 1 answer: (Choice A) A m(x)=-2(x-6)^2+18m(x)=−2(x−6) 2 +18m, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, minus, 6, right parenthesis, squared, plus, 18 (Choice B) B m(x)=-2x^2+24x-54m(x)=−2x 2 +24x−54m, left parenthesis, x, right parenthesis, equals, minus, 2, x, squared, plus, 24, x, minus, 54 (Choice C) C m(x)=-2(x-3)(x-9)m(x)=−2(x−3)(x−9)
The form that reveals the intercept is B m(x)=-2x^2+24x-54
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k or a(x - m)(x - n)
How to determine the form that reveals the intercept?The given parameters are the list of options
In this case, they are
A m(x)=-2(x-6)^2+18
B m(x)=-2x^2+24x-54
C m(x)=-2(x-3)(x-9)
Recall that the forms are stated as
y = ax^2 + bx + c
y = a(x - h)^2 + k
y = a(x - m)(x - n)
In the form y = ax^2 + bx + c, the y-intercept can be easily identified
This is because the y-intercept is c
The equation that has the same form as y = ax^2 + bx + c is m(x)=-2x^2+24x-54
Hence, the equation is m(x)=-2x^2+24x-54
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Complete question
Which form most quickly reveals the y-intercept? Choose 1 answer:
A m(x)=-2(x-6)^2+18
B m(x)=-2x^2+24x-54
C m(x)=-2(x-3)(x-9)
The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence
Answer:
34
Step-by-step explanation:
to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly
=> 10 - 4 = 6
increasing by 6
4 + 6 = 10
10 + 6 = 16
16 + 6 = 22-
22 + 6 = 28
28 + 6 = 34
6th term = 34
Find the sum of the angle measures in a 10-sided polygon
Answer:
sum of interior angles is 1440
Step-by-step explanation:
sum=(n-2)180
=(10-2)180
=8*180=1440
Forty two billion, three hundred and seven million, one hundred and Two thousand, three hundred and fourteen in number. Please help me
Answer:
42,307,0102,014 is the number form
Find the area of the figure. (Sides meet at right angles.)
4 ft
5ft
4 ft
9ft
8 ft
Answer:
52 square feet.
Step-by-step explanation:
length*width=area
Top rectangle = 4ft*5ft = 20sq.ft
Bottom rectangle = 4ft*8ft = 32sq. ft
20+32=52 sq.ft OR (4*5)+(4*8)=52sq.ft
Write the matrix of the quadratic form
Q(x) = 3x1^2 + x 2^2 + 5x3^2 - x1x2 - 8x1x3 + x2x3
A = some 3x3 matrix
To find the matrix A such that Q(x) can be written as x^TAx, we need to express Q(x) in quadratic form.
Given Q(x) = 3x1^2 + x2^2 + 5x3^2 - x1x2 - 8x1x3 + x2x3, we can write it in matrix form as:
Q(x) = [x1 x2 x3] [3 -1/2 -4]
[-1/2 1 1/2]
[-4 1/2 5] [x1]
[x2]
[x3]
Comparing this to the form x^TAx, we can see that the matrix A is:
A = [3 -1/2 -4]
[-1/2 1 1/2]
[-4 1/2 5]
Therefore, the matrix A is:
A = [3 -1/2 -4]
[-1/2 1 1/2]
[-4 1/2 5]
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If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?
If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
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Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction
The conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
How to determine the true conditional probabilities ?The formula to compute the conditional probability P(A|B) is:
P(A | B) = P(A and B)/P(B)
The above means that the probability of event A such that the event B has already occurred
When the above formula is applied to the give data in the complete, we have:
P(D | F) = 6/34
P(E | D) = 7/25
P(D | E) = 7/18
P(F | E) = 8/18
P(E | F) = 8/34
Hence, the conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
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Answer: a,b,d
Step-by-step explanation:
trust
It is very argent!!!
The human body contains tiny amounts of copper. The exact amount of copper is 2.3 x 20^-4 for a person weighing 150 pounds. How much copper is in the body of a 150 pound person? Write in standard form.
The amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5
Given,
The human body contains tiny amounts of copper.
The exact amount of copper is 2.3 x 20^-4 for a person weighing 150 pounds.
We need to find how much copper is in the body of a 150-pound person and write in standard form.
What is the standard form of a number?It is a way of writing a number in a decimal number between 1 and 10 along with a power of 10.
Find the amount of copper in a body that weighs 150 pounds.
We have,
2.3 x 20^-4 for a person weighing 150 pounds.
Write 2.3 x 20^-4 in standard form.
2.3 x 20^-4 can be written as:
= 2.3/20^4
= 2.3 / 160000
= 0.000014375
= 1.4375 / 100000
We need a decimal point between 1 and 10 so,
1.4357 x 10^-5 is our answer.
Thus the amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5
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individuals in a random sample of 150 were asked whether they supported capital punishment. the following information was obtained. do you support capital punishment? number of individuals yes 40 no 60 no opinion 50 we are interested in determining whether the opinions of the individuals (as to yes, no, and no opinion) are uniformly distributed. refer to exhibit 12-1. if the opinions are uniformly distributed, the expected frequency for each group would be . a. .50 b. 1/3 c. .333 d. 50
The expected frequency is 50 hence, the answer is (d) 50.
Expected frequency:
Expected frequency is the frequency we would expect to see in a particular category or group if the null hypothesis is true. The null hypothesis assumes a specific distribution or pattern in the data, and the expected frequency is calculated based on that assumption.
Here we have
Individuals in a random sample of 150 were asked whether they supported capital punishment.
If the opinions of the individuals are uniformly distributed, then the expected frequency for each group would be the same.
Since there are three groups (yes, no, and no opinion), the expected frequency for each group is:
Expected frequency = Total frequency / Number of groups
= 150/3 = 50
Therefore,
The expected frequency is 50 hence, the answer is (d) 50.
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The bag contains 20 red marbles, 30 white marbles, and 40 blue marbles.
What is the ratio of red to blue marbles?
What is the ratio of white to red marbles?
Answer:
Red : Blue = 20: 40 = 1 : 2
White: Red = 30 : 20 = 3 : 2
Solve the equation. then check your solution. 119 = n minus 66 a. 53 c. â€""185 b. 186 d. 185
Answer:
Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185
solution :
From these we can get is;
119 = n – 66
=> n = 119 + 66
=> n = 185
So option d ) 185 is the correct answer
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Disclaimer: the question was given incomplete on the portal. Here is the Complete Question.
Question: Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185
We get that the value of n is option (d) 185 for the equation n - 66 = 119.
We are given an equation:
n - 66 = 119.
An equation is an expression that has an equality sign in between.
For example: 3 x + 3 y = 6 or 7 x + 5 y = 9
We have to solve the equation to find the value of n.
First, we will add 66 to both the sides of the equation.
n - 66 + 66 = 119 + 66 .
Now simplifying the expression, we get that:
n = 119 + 66
Solving the expression to get the value of n:
n = 185
So, option (d) 185 is correct.
Therefore, we get that the value of n is option (d) 185
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You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?
a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above
At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).
To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.
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Data was taken on the time (in minutes ) between eruptions (eruption intervals ) of the Old Faithful geyser in Yellowstone National Park. They counted the time between eruptions 50 times. The mean was 91.3 minutes. (a) The median was 93.5 minutes. Interpret this value in the context of the situatio
The median was 93.5 minutes.
The given problem is based on the "Data was taken on the time (in minutes ) between eruptions (eruption intervals ) of the Old Faithful geyser in Yellowstone National Park. They counted the time between eruptions 50 times. The mean was 91.3 minutes."
The median is defined as the middle score in a distribution of data, that is, half of the observations are higher and half are lower than the median. The median is an important measure of central tendency that describes the value in the center of the distribution. We know that there are a total of 50 observations taken, with a mean of 91.3 minutes.
The median is given as 93.5 minutes. This indicates that exactly half of the values lie above 93.5 minutes, and half of the values lie below 93.5 minutes. Therefore, we can infer that there are an equal number of eruptions that occurred before and after 93.5 minutes, and so, the eruption time is almost evenly distributed.This means that the Old Faithful geyser in Yellowstone National Park had an almost equal distribution of eruption intervals, with half of the eruptions lasting less than 93.5 minutes and half lasting more than 93.5 minutes. Thus, the median value of 93.5 minutes in the given context can be interpreted as the middle score in the distribution of the eruption intervals.
Therefore, the median eruption interval of the Old Faithful geyser in Yellowstone National Park is 93.5 minutes. It indicates that half of the eruptions had intervals of less than 93.5 minutes and half had intervals of more than 93.5 minutes. This suggests that the geyser has an almost equal distribution of eruption intervals.
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how does 4(x + 2) = - 4 equals to x = -3
you have to get X alone
Answer:
Explained below
Step-by-step explanation:
4(x + 2) = - 4
Let's solve:
4(x + 2) = - 4
4(x) + 4(2) = - 4
4x + 8 = - 4
- 8 - 8
4x = -12
/4 /4
x = -3
Hope this helps!
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that \(cos(x)=\frac{28}{39}\)
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is \(cos^-^1\) ) and apply it to each side
\(cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855\)
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
come on now help a sister out
Answer:
m=50
Step-by-step explanation:
3x+4=3x+4
what is x?
All real numbers because any value of x works
What is y + 1 = log₂ (x+1) and graph with key points please help
to participate in baseball league the requirements equipment for each player is a glove hat and a pair of cleats a glove cost 49.95 a hat cost 22.95 a pair of cause 32.95 what is the total cost for team of 10 players
To find the total cost for 10 players, we must first find the total cost for ech player
Total cost for each player = 49.95 + 22.95 + 32.95 = 105.85
Total cost for 10 players = 105.85 x 10 = 1058.5
Harry ate 1/3 of the pizza. Sal at 3/8 of the pizza. How much more did sal eat?
Answer:
Sal ate 1/24 more than Harry.
Step-by-step explanation:
Multiply 1/3 by 8/8 and 3/8 by 3/3 an you'll get the same denominator Subtract both. 1/3 x 8/8 = 8/24 3/8 x 3/3 = 9/24 9/24 - 8/24 = 1/24
If you get the chance brainliest? Hope I could help.
You get dressed in the morning without looking at the colours of the clothes you choose. Your shirts are white or blue, your pants are black, red, or yellow, and your shoes are brown or black. How likely are you to choose a white shirt, black pants, and brown shoes?
Answer:
add up all the colors
Step-by-step explanation: