What is the area of a triangle with a height of 9 and a base of 24
Answers
Answer:
Area = 108
Step-by-step explanation:
Formula we use,
→ (1/2) × b × h
Then the area of triangle will be,
→ (1/2) × b × h
→ (1/2) × 24 × 9
→ 12 × 9 = 108
Hence, the area of triangle is 108.
Related Questions
explain the Alternate Exterior Angles Theorem
Answers
The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.
If line AB and line CD are parallel, and line EF intersects both lines at points G and H respectively, then the angles formed on opposite sides of line EF and on the exterior of the parallel lines are congruent.
The Alternate Exterior Angles Theorem states that when a pair of parallel lines is intersected by a transversal, the pairs of alternate exterior angles formed on opposite sides of the transversal are congruent.
In symbols, the theorem can be written as:
∠1 ≅ ∠4
where ∠1 and ∠4 are alternate exterior angles.
This theorem is useful in solving problems involving angles and parallel lines, and it is commonly used in geometry proofs.
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Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
{12, 16, 20}
Step-by-step explanation:
12×12+16×16=20×20
pythagorean theorem
Are the following triangles similar? If so state the reason.
not similar
yes by SAS
yes by SSS
yes by AA
Answers
Answer:
yes by aa similarity.
angle sxn=nyd [given]
angle snx= ynd [by vertically opposite angle]
a person ate 2000 calories in a day of those calories 35% were from fat how many calories are from fat
Answers
Answer:
700
Step-by-step explanation:
Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double time for work on Sunday. Trump's regular rate is $8 per hour. During the week ended October 10, he worked 9 hours each day from Monday through Friday, 6 hours on Saturday, and 4 hours on Sunday. Trump's total earnings for the week ended October 10 are a.$320. b.$430. c.$516. d.$110.
Answers
Answer:
C. $516
Step-by-step explanation:
His regular rate is $8 per hour.
Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.
Thus, for the regular week work, he is to be paid;
40 × 8 = $320
Now, we are told he worked 9 hours each day from Monday through Friday.
This means that;
He worked 1 hour each day.
That is 5 hours extra from Monday to Friday.
He is paid one and one-half times the regular hourly rate.
Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60
He works 6 hours on Saturday, and 4 hours on Sunday.
Thus;
For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;
1½ × 8 × 6 = $72
He is paid double the regular hourly pay for Sundays.
Thus, for 4 hours on Sunday, he is paid;
2 × 8 × 4 = $64
Total he is due = $320 + $60 + $72 + $64 = $516
How to complete in Excel and step by step instructions and screen captures. The Sentry Lock Corporation manufactures a popular commercial security lock at plants in Macon, Louisville, Detroit, and Phoenix. The per-unit cost of production at each plant is $35.50, $37.50, $39.00, and $36.25 respectively while annual production capacity at each plant is 18,000, 15,000, 25,000, and 20,000. Sentry’s locks are sold to retailers through wholesale distributor in seven cities across the US. Prices per unit are negotiated individually with the distributors and are given below. Additionally, the unit cost of shipping from each plant to each distributor is summarized below along with the maximum demand for each distributor. Total amounts shipped to distributors cannot exceed these amounts. Distributors Tacoma San Diego Dallas Denver St. Louis Tampa Baltimore Plants Macon 2.50 2.75 1.75 2.00 2.10 1.80 1.65 Louisville 1.85 1.90 1.50 1.60 1.00 1.90 1.85 Detroit 2.30 2.25 1.85 1.25 1.50 2.25 2.00 Phoenix 1.90 .90 1.60 1.75 2.00 2.50 2.65 Maximum Demand 8,500 14,500 13,500 12,600 18,000 15,000 9,000 Price to Distributor $56 $58 $62 $65 $49 $42 $52 Sentry wants to determine how to sell and ship locks from plants to distributors such that profit to Sentry is maximized. Formulate and solve the appropriate spreadsheet model to determine this shipment pattern.
Answers
The solution is optimal since reduced cost for all the unallocated cells is greater than zero.
Spreadsheet: (Copy paste in excel) Plants Production cost per units Customers and Transportation Cost per units Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Macon 35.5 2.5 2.75 1.75 2 2.1 1.8 1.65 Louisville 37.5 1.85 1.9 1.5 1.6 1 1.9 1.85 Detroit 39 2.3 2.25 1.85 1.25 1.5 2.25 2 Phoenix 36.25 1.9 0.9 1.6 1.75 2 2.5 2.65 Customers and combined cost per units Supply Plants Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Macon =+$B3+C3 =+$B3+D3 =+$B3+E3 =+$B3+F3 =+$B3+G3 =+$B3+H3 =+$B3+I3 18000 Louisville =+$B4+C4 =+$B4+D4 =+$B4+E4 =+$B4+F4 =+$B4+G4 =+$B4+H4 =+$B4+I4 15000 Detroit =+$B5+C5 =+$B5+D5 =+$B5+E5 =+$B5+F5 =+$B5+G5 =+$B5+H5 =+$B5+I5 25000 Phoenix =+$B6+C6 =+$B6+D6 =+$B6+E6 =+$B6+F6 =+$B6+G6 =+$B6+H6 =+$B6+I6 20000 Demand 8500 14500 13500 12600 18000 15000 9000 Subject To: Plants Customer Plant (TO) Tacoma San Diego Dallas Denver St. Louis Baltimore Tampa Produced Supply Philadelphia, PA 69.0000000000002 0 0 0 0 =SUM(C19:I19) <= =+J10 Atlanta, GA 470 428 0 12.0000000000001 0 =SUM(C20:I20) <= =+J11 St. Louis, MO 0 0 939 261 0 =SUM(C21:I21) <= =+J12 Salt Lake City, UT 0 0 0 328 302 =SUM(C22:I22) <= =+J13 Shipped =SUM(C19:C22) =SUM(D19:D22) =SUM(E19:E22) =SUM(F19:F22) =SUM(G19:G22) =SUM(H19:H22) =SUM(I19:I22) >= >= >= >= >= >= >= Demand =0.8*C14 =0.8*D14 =0.8*E14 =0.8*F14 =0.8*G14 =0.8*H14 =0.8*I14 Total Transportation + Production Cost =SUMPRODUCT(C10:I13,C19:I22) Excel Sheet and Solver Option:
Excel image is attached below.
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Using the following graph, find f(0) and f(-2)
Answers
Answer:
f(0) = 0
f(-2) = 1
Step-by-step explanation:
f(0) means the value of f when x = 0. The line is the result of equation f for all points shown on the graph. Look for the values at x = 0 and x = -2.
They are (0.0) and (-2,1). This can be written as:
f(0) = 0
f(-2) = 1
f(-2) = 1
U look at the x- axis at the 0 and the -2 and then u see the curve where it touched u find the solution
Solve the system of equations. − 5 � + 2 � = 9 � = 7 � −5x+2y=9 y=7x
Answers
Equation 1: -5x + 2y = 9
Equation 2: y = 7x
We can substitute the value of y from Equation 2 into Equation 1 to eliminate y and solve for x:
-5x + 2(7x) = 9
-5x + 14x = 9
9x = 9
x = 1
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = 7(1)
y = 7
Therefore, the solution to the system of equations is x = 1 and y = 7.
typically, in which type of claim is it most important to have a random sample?
Answers
It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.
Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.
Therefore, random sampling is crucial in making valid statistical inferences about a population.
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The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answers
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
y-9= 2(x - 5)
Solve for y
Answers
Answer:
y=2x-1
Step-by-step explanation:
y-9=2x-10
y=2x -10+9
y=2x-1
y=2x-1
Explanation:
Let’s start! After doing distributive property, the equation will be y-9=2x-10. Now, we move over the “-9” to the other side and add it to -10. So the new equation will be y=2x-1. Can you vote for me on brainliest? Thank you if you do. Have a good day!
Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
Answers
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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frances receives one dollar for every pound of worms she gives her grandfather. which reinforcement schedule is this? group of answer choices fixed interval fixed ratio variable interval variable ratio
Answers
Answer:fixed ratio
Step-by-step explanation: :)
This is an illustration of a fixed ratio reinforcement schedule: after a predetermined number of responses, Frances is given a reward (in this case, $1). (every pound of worms).
What is a fixed ratio reinforcement schedule?An example of a reinforcement plan utilized in the behavioral psychology concept of operant conditioning is a fixed ratio reinforcement schedule. A reward or reinforcement is delivered according to this schedule after a predetermined number of actions or responses. As an illustration, a rat might receive a food pellet after every 10 lever presses.
Fixed ratio schedules work well for encouraging high response rates since the subject is driven to keep up the activity in order to earn the reward. Yet, if the reinforcement is stopped, the behavior can become less frequent or cease entirely.
Fixed ratio schedules can also cause behaviors to become rigid or stereotyped because the subject may start concentrating only on the number of responses required to earn the reward and stop considering other options or actions.
Overall, fixed ratio reinforcement regimens can be helpful in teaching both humans and animals to carry out particular tasks, but they should be utilized with caution and consideration for any unexpected consequences.
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Express the perimeter of the triangle as a polynomial
8x - 2
5x - 4
9x - 3
Answers
Answer:
P = a + b + c
P = (8x + 2) + (5x - 4) + (9x + 3)
P = 8x + 5x + 9x + 2 - 4 + 3
P = 22x + 1
I hope this helps.
y is 5 less than the square of the sum of p and q.
Write down a formula for y in terms of p and q.
Answers
Answer:
y = (p+q)² - 5
Step-by-step explanation:
Use the wording to do this:
y = (p+q)² - 5
Under his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget
Answers
Answer: g < 5
5 is the amount of gigabytes
Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:
3g + 45 ≤ 60.
where,
"g" represents the number of gigabytes used.
$3 is the cost per gigabyte.
$45 is the flat monthly cost.
$60 is the maximum budget.
Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.
He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.
The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.
Hence, the inequality is 3g + 45 ≤ 60.
Now, solve for g:
45 + 3g ≤ 60
Subtract 45 from both sides:
3g ≤ 15
Divide both sides by 3:
g ≤ 5
So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
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Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =
Answers
The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:
f(x) = A * sin(Bx + C) + D
where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.
Amplitude: The given amplitude is 10. So, A = 10.
Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.
Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.
f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:
41 = 10 * sin(2π/5 * 3 + C) + 31
10 * sin(2π/5 * 3 + C) = 41 - 31
10 * sin(2π/5 * 3 + C) = 10
sin(2π/5 * 3 + C) = 1
To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.
2π/5 * 3 = π/2 - C
6π/5 = π/2 - C
C = π/2 - 6π/5
Now we have all the values to construct the sinusoidal function:
f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31
Simplifying further:
f(x) = 10 * sin(2π/5 * x - 2π/10) + 31
f(x) = 10 * sin(2π/5 * x - π/5) + 31
Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.
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Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees
Answers
Answer:
12.56 units²Step-by-step explanation:
Area of sector :
πr² x θ/360π(6)² x 40/36036π x 1/93.14 x 412.56 units²what is the correlation
Answers
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
2/3 plus 4/9 equal what?
Step by step answer
Answers
Answer:
1.1 or 1 and 1 tenth
Step-by-step explanation:
2/3+4/9
1. Make like denominators
6/9+4/9
2.Solve!
10/9
or
1.1
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answers
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³\(\mathbf{Desity = \dfrac{mass}{volume}}\)
\(\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}\)
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
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Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.
Answers
Answer:
The answer is
\(y = 2x + 13\)
Step-by-step explanation:
Remember:
\(Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept\)
\(M = \frac{y_2 - y_1}{x_2 - x_1} \)
First: Find the slope.
\(M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2\)
.
Second: Solve for the y-intercept
\(y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b} \)
.
Third: Plug in.
\(y = mx + b \\ y = 2x + 13\)
a soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. the probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. what is the probability that a customer loses on their first two bottles and wins on their third bottle?
Answers
The probability that a customer loses on their first two bottles and wins on their third bottle is 0.968
What is probability?The likelihood of an event happening is gauged by probability.
The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
The chance of every event in a sample space is 1, overall.
∵ the customer can not win on first or second bottle i.e.
0.2×0.2×0.8 = 0.032
∴probability that a customer loses on their first two bottles and wins on their third bottle is given by:
= 1 - 0.032
= 0.968
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What is the difference between -4 and 6?
-10
-2
2
10
Answers
Answer:
the answer is 10
Step-by-step explanation:
*please give me brainliest, i only need four more*
Answer:
-10
I did the math
(-4)-6
explain why a probablistic model is more appropraite than a deterministic model
Answers
A probabilistic model is a more appropriate choice when dealing with real-world complexity and uncertainty.
A probabilistic model is more appropriate than a deterministic model in situations where there is inherent uncertainty or randomness involved in the system being modeled. In a deterministic model, all variables and parameters are assumed to be known with complete certainty, and the model outputs a definite outcome based on those inputs. However, in real-world scenarios, there are often factors that cannot be predicted with complete accuracies, such as the weather, human behavior, or equipment failure.
A probabilistic model takes into account this uncertainty by allowing for a range of possible outcomes based on the probabilities of different events or scenarios occurring. This allows for a more realistic and flexible representation of the system being modeled and can provide valuable insights into the likelihood and impact of different outcomes. Additionally, probabilistic models are often better suited for decision-making scenarios, as they can provide a more nuanced understanding of the risks and benefits associated with different choices.
Overall, a probabilistic model is a more appropriate choice when dealing with real-world complexity and uncertainty.
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The 24th day of a particular month is a Saturday. On what day of the week was the first day of that month?
Answers
A week is 7 days
24-7 = 17 is a Saturday
17-7 = 10 is a Saturday
10-7 = 3 is a Saturday
The 2nd would be Friday
The 1st would be Thursday
answer: Thursday
In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
Answers
Add symbols of inclusion (parentheses, brackets, etc.) to make the following equation true: 2 • 3 + 4 ÷ 3 = 8
Answers
I need help ASAP!! Please only answer if you know the answer, not if you don't.
2x - 1/4x= -28
Answers
Answer:
x = -16
Step-by-step explanation:
2x - 1/4x= -28
2x - 0.25x= -28
1.75x = -28
1.75x/1.75 = -28/1.75
x = -16
The average mass of the eggs laid by chickens on Ms.Watson’s farm is 3.5 grams. About how many grams does a dozen eggs weigh
Answers
So, we multiply 12 by 3.5 to get 42 grams
The dozens of eggs is 42 grams.
Hope this helps!