Answers
Answer:
Option B, \(396\ units^2\)
Step-by-step explanation:
Step 1: Determine the area of the bottom
\(A = l * w\)
\(A = 12\ units * 8\ units\)
\(A = 96\ units^2\)
Step 2: Determine the area of the back
\(A = l * w\)
\(A = 9\ units * 8\ units\)
\(A = 72\ units^2\)
Step 3: Determine the hypotenuse
Pythagorean theorem → \(a^2 + b^2 = c^2\)
\(12^2 + 9^2 = c^2\\\)
\(144 + 81 = c^2\)
\(225 = c^2\)
\(\sqrt{225} = \sqrt{c^2}\)
\(15 = c\)
Step 4: Determine the area of the top
\(A = l * w\)
\(A = 15\ units * 8\ units\)
\(A = 120\ units^2\)
Step 5: Determine the area of the triangles
\(A = \frac{h\ *\ b}{2}\)
\(A = \frac{9\ units\ *\ 12\ units}{2}\)
\(A = \frac{108\ units^2}{2}\)
\(A = 54\ units^2\)
Step 6: Determine the surface area
\(96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)\)
\(396\ units^2\)
Answer: Option B, \(396\ units^2\)
Related Questions
Translate the following phrase into an absolute value inequality.
The distance between 2 and 5 times a number is no less than 8.
1.|5x−2|≥8
2.|5x−2|≤8
3.|5x+2|≤8
4. |5x+2|≥8
Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct? Explain.(1 point)
1. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.
2. Trey is correct since the initial arc was drawn with the point of the compass on S, RS=PS.
3. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
4. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
Answers
1. The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8
2. The correct option is A. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
How to express the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The distance between 2 and 5 times a number is no less than 8.
Let the number be x
This will be |5x−2|≥8. The correct option is 1.
For the second question, it should be noted that Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. The correct option is A.
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if the federal debt is $24 trillion, and if this debt were divided equally among 300 million people, then how much would each person owe? describe how to estimate mentally the answer to the federal debt problem, and explain briefly why your strategy makes sense.
Answers
Using the concept of division we can find the amount of money each person owes.
Why should we use Division?Division is one of the fundamental operations used in mathematics which involves breaking a bigger value into smaller groups with the same number of components.
The federal debt =$24 trillion=$24000000
(one trillion=1000000 million)
The value in trillion is converted to million by multiplying by 1000000.
The number of people the amount to be equally distributed= 300 million
Amount of money equally distributed among each person
=\(\frac{Total debt amount}{number of people}\)
=\(\frac{24000000}{300}\)
=80000
The amount each person owes is $80000
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giving brainliest to the right answer!!
How many feet are between the first and second story of a building (1 story)? 1 story = 3.33 meters; 100 centimeters = 1 meter; 1 inch = 2,54 cm 1 foot = 12 inches
Answers
Answer:
We can use the conversions provided to find the height of one story in feet:
1 story = 3.33 meters
3.33 meters * 100 cm/1 meter = 333 cm
333 cm * 1 inch / 2.54 cm = 131.10236 inches
131.10236 inches / 12 inches/foot = 10.9251969 feet
So one story of a building is 10.93 feet high. If you are asking for the height between the first and second story, then it would be 10.93 feet.
What are the major differences among the three methods for the evaluation of the accuracy of a classifier: (a) hold-out method, (b) cross-validation, and (c) bootstrap?
Answers
The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.
The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.
The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.
In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.
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The graph below represents the system of equations 3x+4y=12 and 2x-y=8. A coordinate grid with 2 lines. One line passes through (0, 3) and (4, 0). The other line passes through (2, negative 4) and (4, 0). Which ordered pair is a solution to the system of equations? (0, 3) (3, 0) (4, 0) (0, 4)
Answers
Answer:
C. (4,0)
Step-by-step explanation:
Given a graph of the system of equations
3x+4y=12; and
2x-y=8.
Line 1 passes through (0, 3) and (4, 0).Line 2 passes through (2, -4) and (4, 0).We can see that both lines pass through (4,0). Therefore, (4,0) is a point of intersection of the two lines.
It is therefore a solution to the system of equations.
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equa
Answers
Answer:
10, 2x=20
10 the answer is ten
HELP I NEED HELP ASAP
Answers
State the formula for testing the significant difference between
two population variances
Answers
The formula for testing the significant difference between two population variances is the F-test. The F-test is used to compare the variances of two populations and is calculated by dividing the larger variance by the smaller variance. The formula for the F-test is:
F = s1^2 / s2^2
Where s1^2 is the variance of the first population and s2^2 is the variance of the second population.
If the calculated F value is greater than the critical F value from the F distribution table, then there is a significant difference between the two population variances. If the calculated F value is less than or equal to the critical F value, then there is not a significant difference between the two population variances.
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what is the equation of the line in slope-intercept form?
Answers
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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Help. Find the value of X.
Answers
25 degrees is the measure of angle x from the rectangle.
Determining the measure of angle of a rectangleThe given figure is a triangle and each of the triangle is isosceles is nature that is the base angles are equal.
In order to determine the value of x, we will use the expression below:
x + x + (180 - 50) = 180
x + x + 130 = 180
Simplify to have:
2x + 130 = 180
Subtract 140 from both sides
2x = 180 - 130
2x = 50
x = 50/2
x = 25 degrees
Hence the measure of the angle x from the diagram is 25 degrees.
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explain aboutsteps when solving a problem where you want to find normal proportions
Answers
Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.
When solving a problem where you want to find normal proportions, you can follow the following steps:
Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.
Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.
Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.
Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.
Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.
Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.
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HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answers
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
did i get these questions right??? please help! this is 15% of my grade !!!!
Answers
Answer:
yes you got it correct smart
Step-by-step explanation:
Susie used 0.75 cup of sugar in a batch of brownies What fraction of a cup did she use?
Answers
SOLUTION
To get the fraction of Susie used, we simply change the decimal 0.75 into fraction.
This becomes
After moving the decimal point and changing to fraction, divide through by a common factor. And the common factor is 5.
Therefore, the answer is
\(\frac{3}{4}\)
White shapes and black shapes are used in a game some of the shapes are circles all other shapes are sqaures The ratio of the number of white shapes to the number of black shapes is 5:11 The ratio of the number of white circles to the number of white squares is 3:7 The ratio of the number of black circles to the number of black squares is 3:8 work out what fraction of all the shapes is circles
Answers
Answer:
The fraction of all the shapes are circles is \(\frac{9}{32}\)
Step-by-step explanation:
There are two types of the shapes in a game.
Circle
Square
The ratio of number of white shapes to the number of black shapes is 5 : 11.
Consider there are 50 white shapes and 110 black shapes.
The ratio of the number of white circles to the number of white squares is 3 : 7.
Here 3/10 of the white shapes are circle and 7/10 are white squares.
The number of white circles can be obtained as follows,
White circles = 3/10 × 50
= 50
The number of white squares can be obtained as follows,
White squares = 7/10 × 50
= 35
The number of black circles to the number of black squares is 3/8.
The number of black circles can be obtained as follows,
Black circles = 3/11 × 110
= 30
The number of black squares can be obtained as follows,
Black squares = 8/11 × 110
= 80
The total number of circles is 30 + 15 = 45 and the total number of shapes is 50 + 110 = 160.
The fractions of all the shapes are circles are 45/160 which is simplified to 9/32
The fraction of all the shapes are circles is 9/32
What is the probability of a sample of 144 producing a mean of
50 or larger if the population has a mean of 49 and a standard
deviation of 5?
Answers
The probability of a sample of 144 producing a mean of 50 or larger if the population has a mean of 49 and a standard deviation of 5 is approximately 0.0082 or 0.82%.
To solve this problem, we can use the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
First, we need to calculate the standard error of the mean (SEM) using the formula:
3 Rewrite each expression as a product of two factors, so that the coefficient of the
variable is 1.
2/3x+8
Answers
The expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:
(x + 12)
To rewrite the expression 2/3x + 8 as a product of two factors with a coefficient of 1, we can factor out the coefficient of x, which is 2/3.
The expression can be written as:
(2/3)x + 8
To factor out the coefficient of x, we divide both terms by 2/3:
[(2/3)x / (2/3)] + (8 / (2/3))
Simplifying further, we get:
x + (8 * 3/2)
Multiplying 8 and 3/2:
x + 24/2
Reducing 24/2 to 12:
x + 12
Therefore, the expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:
(x + 12)
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What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
someone help me with this
Answers
The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.
What is a direct proportion?In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.
By applying direct proportion to the given information, we have the following mathematical equation:
15 gallons of gasoline = 214.5 miles
X gallons of gasoline = 111.54 miles
By cross-multiplying, we have the following:
214.5x = 15 × 111.54
x = 1,673.1/214.5
x = 7.8 gallons of gasoline.
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Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute.
Answers
Answer:
184,815
Step-by-step explanation:
so my answer my not be right so i would say double check but anyway just multiply 3333 and 555 and this should be your answer.
Answer:
Everything is below.....
Step-by-step explanation:
find the missing angle measurement
Answers
Answer: 56
Step-by-step explanation: According to AIA(Alternate Interior Angles Congruency) they are equal. So just solve the equation that they're both equal to each other and you get x=-6. Plug this back in to find the angle measure, 56! Hope this helped!
Answer:
x = -6
56 degrees
Step-by-step explanation:
Those two angles that are labeled are equal for a reason that I forgot (but trust me they are). So, -8x+8 = -6x+20
just solve the equation to get x = -6
after plugging in -6 for x, you get that the angles that are labeled are 56 degrees.
You are the accounting manager for Kool Ragz, Inc., a manufacturer of men's and women's clothing. The company needs to borrow $1,300,000 for 90 days in order to purchase a large quantity of material at "closeout" prices. The interest rate for such loans at your bank, Rimrock Bank, is 15% using ordinary interest.
(a) What is the amount (in $) of interest on this loan?
$ ?
(b) After making a few "shopping" calls, you find that Southside National Bank will lend at 15% using exact interest. What is the amount (in $) of interest on this offer? (Round your answer to two decimal places.)
$ ?
(c) So that it can keep your business, Rimrock Bank has offered a loan at 14.5% using ordinary interest. What is the amount (in $) of interest on this offer?
$ ?
(d) (Challenge) If Southside National wants to compete with Rimrock's last offer (part c) by charging $1,125 less interest, what rate (as a %), rounded to the nearest hundredths of a percent, must it quote using exact interest?
% ?
Answers
Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.
To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest. (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.
(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500. (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.
(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.
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what are the possible numbers of minutes he has used his phone in a month? use for the number of minutes, and solve your inequality for .
Answers
Inequality is a statement of an order relationship between two figures or algebraic expressions. Ryan used at least 1189 minutes.
In mathematics, an inequality is a relation which makes a non-equal comparison between two figures or other fine expressions. It's used most frequently to compare two figures on the number line by their size.
Given
Let m be the number of minutes used.
Yearly cost = fixed cost variable cost
fixed cost = 13
Variable cost = 0.05 × m
Yearly cost = 130.05 m
It says in the problem that the least he has been charged in a month is$72.45.
This means that the yearly cost is at least72.45.
In other words, the yearly cost is72.45 or bigger.
This can be expressed as 130.05 m ≥72.45
130.05 m ≥72.45
13- 130.05 m ≥72.45- 13
00.05 m ≥72.45- 13
m ≥59.45
Divide both sides by0.05
m/0.05 ≥59.45/0.05
m ≥ 1189
thus, Ryan used at least 1189 minutes
Question
For his phone service, Ryan pays a yearly figure of$13.00, and he pays an fresh$0.05 per nanosecond of use. The least he has been charged in a month is$72.45. What are the possible figures of twinkles he has used his phone in a month?
Use m for the number of twinkles, and break your inequality form.
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2. If the tangent to the circle + + y2 = 25 was drawn at the point (-3,4) then its slope would be
(1)
4
( (3) -
Answers
Answer:
Step-by-step explanation:
3/4
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away. Zhang leaves the store when aaron starts riding his bike, and he rides his bike toward aaron along the same road at 2 mi/h. How many hours will pass before they meet?.
Answers
2 hours will pass before they meet.
"Information available from the question"
In the question:
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.
Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.
Now, According to the question:
Total distance = 20mi
Aaron starts riding a bike at a rate of = 3mi/h
Zhang rides his bike toward Aaron along the same road at = 2mi/h
Let y be the number of hours for them to meet.
The expression is given as
3y + 2y = 20
solving for y, we have
5y = 20
y = 20/5
y = 4hrs
Therefore, 2 hours will pass before they meet.
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Giovanni can read 250 words per minute. If there are approximately 300 words on a page, about how many pages can he read in 2 hours?
Answers
250*120 (words he can read per minute multiplied by 120 minutes or two hours)=30000
30000/300 (amount of words Giovanni can read in two hours divided by the words per page)=100
during his nba career, larry bird made approximately 89% of all free throws. suppose larry makes 10 free throws in a row. what is the probability he will make the next free throw?
Answers
Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.
During nba career he made approximate 89% of all free throws.
To calculate the probability of the next 10 free throws given which will be
= No. of possible outcome / Total no. of outcome
= 89 / 100
= 0.89 %
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.
P(A) = (# of ways A can happen) / (Total number of outcomes)
which means that Probability that he will make the next free throw is 0.89 %
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two curves are orthogonal to each other if their tangent lines are perpendicular at each point of intersection. a family of curves forms orthogonal trajectories with another family of curves if each curve in one family is orthogonal to each curve in the other family. use the following steps a through c to find the orthogonal trajectories of the family of ellipses 2x^2 y^2
Answers
The orthogonal trajectories of a family of curves are a new set of curves that intersect the original curves at right angles. To find the orthogonal trajectories of the family of ellipses given by the equation 2x^2 y^2, follow these steps:
Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient). In this case, let's differentiate with respect to y: d/dy (2x^2 y^2) = 4x^2y Find the slope of the tangent line to the family of ellipses at any given point by setting the derivative equal to -1 divided by the slope of the tangent line: 4x^2y = -1/m where m represents the slope of the tangent line.
Solve the resulting equation for y in terms of x to obtain the equation of the orthogonal trajectories: y = -1/(4x^2m) By following these steps, you can find the equation of the orthogonal trajectories of the family of ellipses. Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient).
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Which is a reasonable first step that can be used to solve the equation 2 (x 6) = 3 (x minus 4) 5?
Answers
The solution to the equation 2(x + 6) = 3(x - 4) + 5 is x = 19.
To solve the equation 2(x + 6) = 3(x - 4) + 5, the first step is to simplify both sides of the equation by distributing the coefficients. Distributing the coefficient 2 on the left side gives us 2x + 12, while distributing the coefficient 3 on the right side gives us 3x - 12. The equation now becomes 2x + 12 = 3x - 12 + 5.
Next, we can combine like terms on both sides of the equation. On the right side, we have 3x - 12 + 5, which simplifies to 3x - 7. So the equation becomes 2x + 12 = 3x - 7.
To isolate the variable x, we can move all the terms with x to one side of the equation and all the constant terms to the other side. In this case, we can subtract 2x from both sides to get rid of the 2x term on the left side. This gives us 12 = x - 7.
Finally, we can add 7 to both sides to isolate x. This gives us x = 12 + 7, which simplifies to x = 19.
So the solution to the equation 2(x + 6) = 3(x - 4) + 5 is x = 19.
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whats the volume of this shape
r-11cm
h-16 cm
Answers
Answer:
you know who else like the shape my mom