Answer:
acute-angled
Step-by-step explanation:
It doesn't have a right angle and one of its corners isn't for than 90 degrees
A rectangular garden has a length of 20 yards and a width of 42 yards. A diagonal path runs from one end of the garden to the other. How long is the diagonal path? a. B. C. 50 yd. D.
When the rectangular garden has a length of 20 yards and a width of 42 yards the diagonal path will be \(\sqrt{2164}\) .
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
Since we have a right-angled triangle, we can use the Pythagorean Theorem to find our answer. The Pythagorean Theorem states the following:
\(a^{2} +b^{2} =c^{2}\)
In this formula a and b represent the legs of the triangle and c represents the length of the hypotenuse.
Let's substitute our data from the question.
\(42^{2} +20^{2} =c^{2}\)
Square.
1764 + 400 = \(c^{2}\)
And finally take the root of both sides. We only need to use the positive solution, since the length of the hypotenuse can't be negative.
\(c = \sqrt{2164}\)
When the rectangular garden has a length of 20 yards and a width of 42 yards the diagonal path will be \(\sqrt{2164}\) .
To learn more about Pythagoras theorem visit :brainly.com/question/343682
#SPJ4
Answer: 53
Step-by-step explanation:
The length and width of the garden represent the legs of a right triangle, and the diagonal path represents the hypotenuse.
The Pythagorean Theorem states that a squared plus b squared equals c squared, where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.
Let p equal the length of the diagonal path in yards.
Applying the Pythagorean Theorem gives us p squared equals forty-five squared plus twenty-eight squared.
Now square forty-five and twenty-eight to get p squared equals two thousand twenty-five plus seven hundred eighty-four.
Next, find the sum of two thousand twenty-five and seven hundred eighty-four, which is two thousand eight hundred nine.
Finally, calculate the square root of two thousand eight hundred nine to find that p equals fifty-three.
So the length of the diagonal path is fifty-three yards.
What is the GCF of xy10,x4 y6, x9 y9, and x10 y10? A. xy B.xy6 C.x4 y4 D. x4 y6
Answer:
xy6
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!
Amir is putting beads on a string. He plans on starting with 8 round beads, then
24 square beads, then 48 round beads, and then p square beads (where p > 0).
At some point, after he has put on n beads (where n > 0), he realizes that on his
string there are twice as many beads of one shape than there are of the other
shape. Determine the maximum and minimum values of p that result in exactly 5
possible values of n.
Answer:
What would you add or change to the oath to the Vice President and the president?
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x3=24 while 2x24=48
56 stamps on 8 sheets = ? stamps on 2 sheets
Answer:
14
Step-by-step explanation:
You divide 56/8 to get 7
Next you multiply that by 2 to get...
14
Hope this helps!
Answer: 14 stamps
Step-by-step explanation:
56/8=7 stamps per sheet
7 stamps= 1 sheet of paper
7 x 2= 14 stamps on 2 sheets
The cost of setting the type for a pamphlet is $15 and the cost of paper and printing is 25 cents per copy .How much will it cost for 200 copies
Answer:
$65
Step-by-step explanation:
It has a fee of $15. If each copy is $.25 each and 200 copies are wanted, multiply them together to get 50. Add 50 and 15 to get 65. It cost $65 for 200 copies.
one student from the school will be selected at random. what is the probability that the student is in the age-group of 6 to 8 years given that the selected student responded joy?
Given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the likelihood that a pupil is between the ages of 6 and 8 can be calculated using the techniques below:
Step 1: 89 pupils out of a possible 200 answered with joy, as shown in the table.Step 2 - It is also stated that there were a total of 28 students in the age range of 6 to 8 years who answered positively.Step 3 - Accordingly, the likelihood that the pupil belongs to the 6 to 8-year-old age range is:P = 28/89
Therefore, given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
Know more about probability here:
https://brainly.com/question/28924396
#SPJ13
The complete question is given below:
Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age group. One student from the school will be selected at random. What is the probability that the student is in the age group of 6 to 8 years given that the selected student responded with joy?
(a) can the graph of y = f(x) intersect a vertical asymptote? yes or no
Answer: no
Step-by-step explanation: So, the function's graph cannot intersect the vertical asymptote because in order for it to do so, the graph should contain a point on the asymptote.
Yes, it is possible for the graph of y = f(x) to intersect a vertical asymptote, and It depends on the specific behavior and properties of the function f(x).
Given that,
The graph of a function is,
y = f (x)
Now, it is possible for the graph of y = f(x) to intersect a vertical asymptote.
While vertical asymptotes typically represent values of x where the function approaches infinity or negative infinity, there may be cases where the graph intersects the asymptote as it approaches or crosses it.
Hence, It depends on the specific behavior and properties of the function f(x).
So, The given statement is true.
Learn more about asymptotes here
brainly.com/question/4084552
#SPJ4
Olivia owns a pastry shop, and needs to fill an order for 700 cupcakes
She already has 15 cupcakes made, and she can make 137 cupcakes
hour. How many hours does Olivia need to fill the order?
Olivia needs
more hours.
Answer:
5 hours
Step-by-step explanation:
Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.
So she needs to work for 685 / 137 = <<685/137=5>>5 hours
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
Learn more about cost price here:
https://brainly.com/question/26008313
#SPJ1
Ex. 1: Last year, the price of a lawnmower was $358.99. The same model sells
for $329.99 this year. What is the percent change in the price of the
over the 2 years? Round your answer to the nearest tenth.
lawnmower
The percent change in the price of the lawnmower over the 2 years is -8.1%.
Calculating the percentage changeTo find the percent change in the price of the lawnmower over the 2 years, we can use the formula:
percent change = (new value - old value) / old value * 100%
Plugging in the values given in the problem, we get:
percent change = (329.99 - 358.99) / 358.99 * 100%
percent change = -8.1%
Therefore, the percent change in the price of the lawnmower over the 2 years is -8.1%. Note that the negative sign indicates a decrease in price.
Read more about percentage change at
https://brainly.com/question/23885199
#SPJ1
A textbook is opened at random. What page numbers is the book opened to if the product of the opened page numbers is 132?
The book is opened to pages 11 and 12.
How to get the product of the page
So, we can write the equation:x * (x + 1) = 132
Expanding the equation, we get:
x² + x = 132
To solve for x, we need to rewrite the equation as a quadratic equation:
x²+ x - 132 = 0
Now, we can factor the quadratic equation:
(x - 11)(x + 12) = 0
This equation has two solutions for x:
x = 11
x = -12
Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.
So, the book is opened to pages 11 and 12.
Read more on product of numbers here : https://brainly.com/question/25301924
#SPJ1
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Step-by-step explanation:
(0, -6) is the y-intercept, as x = 0. Moving up 2, and right 1 represents the slope of the function. Going up is positive in the y direction, and going right is positive in the x direction.
Drawing a line through the 2 points gives a sneak peak on the full function to be graphed
PRO GAMER MOVE: function is y = 2x - 6
Answer:
It's A. (Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.)
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
To know more about IQR visit:
https://brainly.com/question/31207390
#SPJ4
2 less than the product of X and for the expression is equal to 10 to create an equation what value could replace X in the expression and make the resulting equation true 4x-2=10
The product of 4 and x is 4x. Two less than product of 4 and x is 4x - 2. The expression is equal to 10. So equation is 4x - 2 = 10.
Simplify the equation for x.
\(\begin{gathered} 4x-2=10 \\ 4x=10+2 \\ x=\frac{12}{4} \\ =3 \end{gathered}\)So value of x which makes the equation true is 3.
Frank is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Frank will need to
buy. Which is the dependent quantity?
O b= how many boxes of candles Frank will buy
O a = Grandmother's age in years
Answer:
I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps
Step-by-step explanation:
DESCRIBE THE GENERAL STRUCTURE OF THE OCEAN FLOOR! (Not math)
Answer:
A lot of sand :D
What is the decimal form of 45/120
Answer: 37.5 or 0.375
Step-by-step explanation:
to write 45/120 as a decimal you have to divide the numerator by the denominator of the fraction. we divide now 45 by 120 what we write down as 45/120 and get 0.375
Hope this helped!
Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
Learn more about interpretation here
https://brainly.com/question/10737299
#SPJ11
Consider making an inference about pi-p2 , where there are x1 successes in ni binomial trials and χ2 successes in n, binomial trials. a. Describe the distributions ofx1 and x2 b. Explain why the Central Limit Theorem is important in finding an approximate distribution for (Pi-P2 a. Choose the correct distributions below. x1 has a distribution and x2 has a distribution.
a. x1 has a binomial distribution with parameters n1 and p1, and x2 has a binomial distribution with parameters n2 and p2. b. The Central Limit Theorem is important in finding an approximate distribution for (Pi-P2) because it allows us to use a normal distribution to approximate the binomial distribution when the sample size is large enough.
a. The distributions of x1 and x2 can be described as follows:
x1 has a binomial distribution with parameters n1 and p1 (success probability in the first set of trials), denoted as B(n1, p1). Similarly, x2 has a binomial distribution with parameters n2 and p2 (success probability in the second set of trials), denoted as B(n2, p2).
b. The Central Limit Theorem (CLT) is important in finding an approximate distribution for (p1 - p2) because it allows us to approximate the difference of two binomial distributions by using a normal distribution. When n1 and n2 are large enough, the CLT states that the sampling distribution of the sample proportions will be approximately normal, even if the original populations are not normal. This makes it easier to make inferences about (p1 - p2) using well-known properties and techniques associated with normal distributions.
For more such questions on Central Limit Theorem.
https://brainly.com/question/18403552#
#SPJ11
If $87,495 is borrowed for 7 years at an annual simple interest
rate of 8.355%, what is the total amount that must be repaid?
Enter the answer in dollars and cents, and round to the nearest
cent, if needed. Do not include the dollar sign. For example, if
the answer is $0.61, only the number 0.61 should be entered.
The total amount that must be repaid is $139,076.12.
What is Annual Simple Interest?Annual simple interest is a type of interest that is calculated on the principal amount of a loan or investment for a one-year period. Simple interest is a fixed percentage of the principal amount, which is added to the principal at regular intervals. The interest is calculated only on the original principal amount and does not include any interest earned on the interest itself.
What is Compound interest?Compound interest is a type of interest that is calculated not only on the principal amount of a loan or investment, but also on the interest earned on that principal amount over time. In other words, compound interest is interest that is added to the principal amount, and then interest is calculated on the new total amount (principal + interest). This process is repeated at regular intervals, such as monthly or annually.
In the given question, The total amount that must be repaid can be found using the simple interest formula:
I = Prt
Where:
P = principal amount borrowed = $87,495
r = annual interest rate = 8.355%
t = time period in years = 7
So, substituting the values we get:
I = 87,495 * 0.08355 * 7 = 51,581.12
Therefore, the total amount that must be repaid is:
87,495 + 51,581.12 = 139,076.12
Rounding to the nearest cent, the answer is $139,076.12.
To know more about Simple interest, visit:
https://brainly.com/question/25845758
#SPJ1
8 X-6
Multiplying & dividing integers find each product
Answer:
the answer is 48
but because there is -6 the answer will be -48
The figure is formed from rectangles.
A.) 80 ft2
B.) 36 ft2
C.) 104 ft2
D.) 68 ft2
Answer:
D.) 68 ft²
Step-by-step explanation:
8×(10-2) + 2×2
8×8 + 4
64 + 4
68 ft²
find the volume pleaseee
=πr^2h
=π(5)^2*11
=25*11π
=275π yd^3
Find the perimeter. Simplify your answer.
Answer:
5c^2+2cd-2d^2-15
Step-by-step explanation:
Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:
4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30
Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:
5c^2+2cd-2d^2-15
GUYS PLZ HELP MATH CLASS THIS QUESTION IS WORTH 15 #)
Answer:
option b is the correct answer
225 feet for 3 minutes
for 1 minute, 225/3
=75
Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
Learn more about Exponents here:
https://brainly.com/question/5497425
#SPJ2
Last EAST question worth 50 POINTS!
What is the simplified expression show above?
Answer:
4x+8
Step-by-step explanation:
\(\sf \longmapsto \: 2(2x + 5) - 3\)
Distribute\(\sf \longmapsto \: (2)(2x)+(2)(5)+−3\)
\(\sf \longmapsto4x+10+−3\)
Combine like terms\(\sf \longmapsto4x+10+−3\)
\(\sf \longmapsto(4x)+(10+−3)\)
\(\sf \longmapsto4x+7\)
Identify the x-intercept and the y-intercept of the graph of 6x +15 y=-30
Answer:
y intercept:-45 and x intercept: -45/6
Step-by-step explanation:
Answer:
Y-intercept: -2
X-intercept: -5
Step-by-step explanation:
1. Suppose that for the model yi ate, the errors are independent with mean 0. Also suppose that measurements are taken using one device for the first ni measurements and then a more precise instrument was used for the next n2 measurements. Thus Var(ei-a?, i 1, . . . , ni and Var(e.) σ2/2, i m + 1, . . . ,n1 + n2. (a) First, ignore the fact that the errors have different variances, and derive the least squares estimator for a using matrix notation and (X'X ('y) (b) Now notice that the errors have different variances, find the weighted least squares estimator denoted by owLS (c) Suppose that n 2. Compute the expected values and variances of the two estimators above. Which is a better estimator and why?
The weighted least squares estimator (owLS) is better when errors have different variances as it incorporates the varying precision of measurements, resulting in a smaller variance and more reliable estimates compared to the least squares estimator (LS).
(a) The least squares estimator for parameter a is obtained by minimizing the sum of squared errors. In matrix notation, the estimator can be derived as a = \((X'X)^(-1)X'y\), where X is the design matrix and y is the response vector.
(b) Considering errors with different variances, the weighted least squares estimator (owLS) is used. It incorporates weights proportional to the inverse of the variances. The owLS estimator can be calculated as a = \((X'W X)^(-1)X'W\) y, where W is a diagonal matrix containing the inverse variances of the errors.
(c) To compare the two estimators, their expected values and variances need to be computed. The least squares estimator (LS) has an unbiased expected value and its variance is \(\alpha ^2(X'X)^(-1).\) The owLS estimator has the same unbiased expected value but a smaller variance, which is given by \(\alpha ^2(X'WX)^(-1).\)
The owLS estimator is better when errors have different variances because it takes into account the varying precision of the measurements. By assigning higher weights to more precise measurements, it reduces the impact of less accurate data on the estimated parameter. This results in a smaller variance for the owLS estimator compared to the LS estimator, making it more efficient and providing more reliable estimates.
Learn more about diagonal matrix here:
https://brainly.com/question/28217816
#SPJ11
What does variability mean in mean absolute deviation?.
The mean absolute deviation (MAD), a measure of variability, illustrates the typical distance between an observation's mean and its variation. MAD uses the data's original units to facilitate interpretation.
Greater values indicate a wider range of data points than the average. The term "variability" refers to how much a data collection varies from one constituent to another. Variability measures reflect the level and magnitude of change within the data collection.
The interquartile range and the mean average deviation are the two methods for calculating variability that are required by the requirements for sixth-grade pupils.
The majority of the data values are fairly near to the mean, as shown by a tiny mean absolute deviation. We can infer from a large mean absolute deviation that numerous data values are dispersed widely from the mean.
To learn more about absolute deviation
https://brainly.com/question/23556021
#SPJ4