Based on the calculations, we have the following:
The area of the sheet of paper is 96 square inches.The combined area of the triangle cutouts is equal to 36 square inches.The area of the parallelogram is equal to 60 square inches.The altitude of the parallelogram is equal to 6.51 square inches.Given the following data:
Dimension of paper = 12-inch by 8-inch.How to calculate the paper's area.Mathematically, the area of the paper is given by this formula:
[tex]Area = length \times breadth\\\\Area = 12 \times 8[/tex]
Area = 96 square inches.
For the four (4) right triangles:
Dimension 1 = 2 inches by 9 inches.Dimension 2 = 3 inches by 6 inches.Therefore, the combined area of the triangle cutouts is given by:
[tex]A_2= (2 \times \frac{1}{2} \times 2 \times 9) + 2 \times \frac{1}{2} \times 3 \times 6\\\\A_2=18+18\\\\A_2=36\;in^2[/tex]
The area of the parallelogram.This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:
[tex]P = A_p -A_2\\\\P=96-36[/tex]
P = 60 square inches.
The altitude of the parallelogram.[tex]P = base \times altitude\\\\Altitude =\frac{P}{base} \\\\Altitude =\frac{60}{9.22}[/tex]
Altitude = 6.51 square inches.
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Complete Question:
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.
Answer:
1: 96
2: 36
3: 60
4: 6.51
Explanation:
trust
How many solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4?\]
Answer:
-1
Explanation:
We have been given an equation . We are asked to find the solutions of our given equation.First of all, we will cross multiply our given equation as:Subtract from both sides:Now we will factor out .Now we will factor by splitting the middle term. Now we will use zero product property and solve for x as:Now, we will check for extraneous solutions.We can see that will make both denominators zero because our function is not defined at .Therefore, the solution for our given equation is .
The solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4 = -1.
We have been given an equation. We are asked to find the solutions of our given equation.First of all, we will cross multiply our given equation as:Subtract from both sides:Now we will factor out .Now we will factor by splitting the middle term.
Now we will use zero product property and solve for x as:Now, we will check for extraneous solutions.We can see that will make both denominators zero because our function is not defined at .Therefore, the solution for our given equation.
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Any variation that can help an organism survive is called
Answer:
Adaption
Explanation:
Organisms can adapt to their environment by getting used to their surroundings.
Which was a us response to the terrorist attacks of september 11 2001 brainly
Answer:
Bush's leadership, the United States responded to the 9/11 attacks by launching a “war on terror,” beginning in Afghanistan, where al-Qaeda's plot was conceived and organized.
Explanation:
Hope this helps! :)
If the temperature of a fixed quantity and volume of gas changes, what also changes?
Answer:
Pressure
Explanation:
As per PV=nRT, we know that if volume, quantity and temperature are the kept constant the only thing that changes is pressure.
Δjkl has j = 7, k = 11, and m∠j = 18°. Complete the statements to determine all possible measures of angle k. Triangle jkl meets the criteria, which means it is the ambiguous case. Substitute the known values into the law of sines: startfraction sine (18 degrees) over 7 endfraction = startfraction sine (uppercase k) over 11 endfraction. Cross multiply: 11sin(18°) =. Solve for the measure of angle k, and use a calculator to determine the value. Round to the nearest degree: m∠k ≈ °. However, because this is the ambiguous case, the measure of angle k could also be °
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
What is an angle?
An angle exists the figure formed by two rays, named the sides of the angle, sharing a common endpoint, named the vertex of the angle. Angles formed by two rays lie in the plane that includes the rays. Angles exist also formed by the intersection of two planes. These exist named dihedral angles.
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
we know that
Applying the law of sines
[tex]$\frac{k}{\sin K}=\frac{j}{\sin J}$[/tex]
[tex]$\frac{11}{\sin K}=\frac{7}{\sin 18}$[/tex]
[tex]$11 * \sin 18=7 * \sin K$[/tex]
[tex]$\sin K=\frac{11}{7} * \sin 18$[/tex]
[tex]$\sin K=0.4856$[/tex]
[tex]$K=\arcsin (0.4856)$[/tex]
[tex]$K=29^{\circ}$[/tex]
so
∠J=18°
∠K=29°
∠L=180-(18+29)=133°
The answer Part a) exists
The measure of angle K exist ≈29°
Part b) the measure of angle K could also be
(180-29)=151°
so
∠J=18°
∠K=151°
∠L=180-(18+151)=11°
The answer Part b) is
The measure of angle K could also be 151°
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Answer:
Triangle JKL meets the SSA criteria, which means it is the ambiguous case.
Substitute the known values into the law of sines: StartFraction sine (18 degrees) Over 7 EndFraction = StartFraction sine (uppercase K) Over 11 EndFraction.
Cross multiply: 11sin(18°) = 7sin(K)
.
Solve for the measure of angle K, and use a calculator to determine the value.
Round to the nearest degree: m∠K ≈ 29°.
However, because this is the ambiguous case, the measure of angle K could also be 151°.
Explanation:
got it right on edge
Use a distributive property to rewrite the expression. then simplify the expression. a(b − 8)
Answer:
[tex]ab-8a[/tex]
Explanation:
Given the following question:
[tex]a(b-8)[/tex]
To apply the distributive property to an expression we have to multiply all terms within the paratheses by the terms outside the paratheses.
[tex]a(b-8)[/tex]
[tex]a\timesb=ab[/tex]
[tex]8\times a=8a[/tex]
[tex]ab-8a[/tex]
Your answer is "ab - 8a."
Hope this helps.
Answer:
ab-8a the answer simplified. (multiple using distributive property)
The reaction 2mg(s)+o2(g)→2mgo(s) is highly spontaneous. A classmate calculates the entropy change for this reaction and obtains a large negative value for δs∘
Since there is a decrease in entropy owing to the solid product hence a large negative change in entropy is obtained.
What is entropy?The term entropy is the degree of disorder of a system. This question is incomplete but I will try to approach it in a general way. The equation of the reaction is; 2Mg(s) + O2(g)→2MgO(s).
We can see that in the reaction, the product of the process is a solid. Since a solid is rigidly arranged hence the entropy is largely decreased and a large negative change in entropy is obtained.
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All species in an ecosystem are connected to one another
Mr. Ellis deposited $3700 into a savings account for which interest is compounded quarterly at a rate of 1. 84%. How much interest will he earn after 6 years?
Answer:
2.84%
Explanation:
after 6 years
One of the major benefits of using a balanced scorecard is the recognition that business success is driven by factors in addition for the financials
One of the major benefits of using a balanced scorecard is the recognition that business success is driven by factors in addition for the financials is a true statement.
What are the benefits of using a balanced scorecard?Balanced scorecard is known to be made up of some interwoven internal perspectives such as the financial, customer, operations and organizations that are often used to create and define value. its advantages includes:
It offers structure to one's strategy. It helps to ensure easy communication of one's strategy. It does merge your departments and divisions together, etc.Learn more about balanced scorecard from
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Which of the following is true about the base b of a logarithmic function? b > 0 and b = 1 b > 0 and b < 0 and b < 0 and b = 1
The statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
Base of a Logarithmic FunctionWhen the base of a logarithmic function is set to a negative number, it follows that;
Such logarithmic function wouldn't give us any real solutions! So the base CANNOT be negative. Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers greater than 1.
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Answer:
a
Explanation:
on edge
What is the purpose of this descriptive narration? to give a detailed description of the result of william’s injury to provide backstory about william and caroline’s relationship to give a detailed description of how the war changed caroline to provide backstory about how william’s injury occurred
Answer:
A. to give a detailed description of the result of William’s injury
Explanation:
Answer:
A
Explanation:
Three objects are kept outside for a long time on a cold day: a piece of cotton cloth, a piece of wood and a piece of metal. Which of the objects would have the lowest temperature?
Answer:
Metal
Explanation:
he can go on low and hight temperatures
When 5 grams of kcl are dissolved in 50. Grams of water at 25°c, the resulting mixture can be described as
Answer:
3. Homogenous and unsaturated
Explanation:
Since your given information mentions 50 grams of solvent and 5 grams of solute, you must double each amount because "
Table G Solubility Curves" in the Regents Chemistry Reference Table notates curves based off of 100 g samples of water. Therefore, you must look for how soluble 10 grams of KCl is in 100 grams of water at 25 degrees Celsius.
As the picture shows, 10 grams of KCl is well below the curve for saturation, meaning that the solution is undersaturated.
As for the second part of the answer, we can tell that the solution is homogenous (of uniform composition) because there is no possibility of the salt, KCl, falling out of solution and making the mixture heterogenous (of mixed composition).
Putting all of those ideas together, we can tell that the answer to this question is:
3. Homogenous and unsaturated
You push an object initially at rest across a frictionless floor
t = t₀ / 2
Explanation:
In this exercise we must use Newton's second law
F = m a
a = F / m
now we can use kinematics
as in object part of rest (v₀ = 0)
v =a t₀
t₀ = v / a
these results are with the first experiment
now repeat the experiment, but F = 2F₀
a = 2F₀ / m = 2 a₀
v = 2 a₀ t
t = v / 2a₀
t = t₀ / 2
A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of the following is/are true? (select all that apply. )
A simple random sample of "n" measurements from a population is a subset of the population which is selected in a manner such that:
Every sample of size "n" from the population has an equal chance of being selected.Every member of the population has an equal chance of being included in the sample.What is a simple random sample?A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.
This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.
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If you are given the graph of h (x) = log subscript 6 baseline x, how could you graph m (x) = log subscript 6 baseline (x + 3)? translate each point of the graph of h(x) 3 units up. Translate each point of the graph of h(x) 3 units down. Translate each point of the graph of h(x) 3 units right. Translate each point of the graph of h(x) 3 units left
Answer:
D on edge
Explanation:
i saw the answer on another site
The method of graphing m(x) = log₆(x + 3) is; by translating each point of the graph of the function h(x) 3 units to the left.
How to Translate Functions?The function we are given is; h(x) = log₆x
From the given function, we notice that the function m(x) is the function h(x). However, it is shifted 3 units to the left.
Thus, it means that we could graph the function m(x) by translating each point of the graph of the function h(x) 3 units to the left.
Thus, the conclusion of this method of graphing m(x) = log₆(x + 3) is by translating each point of the graph of the function h(x) 3 units to the left.
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Gianni deposited money into an account in which interest is compounded monthly at a rate of 4. 5%. He made no other deposits or withdrawals and the total amount in his account after 9 months was $1820. 30. How much did he deposit?
Answer:
$1760
Explanation:
Took the test :)
Which is the best factor that is unlikely to limit population growth
Now, imagine that port chester decides to crack down on motorists who park illegally by increasing the number of officers issuing parking tickets (thus, raising the probability of a ticket). If the cost of a ticket is $100, and the opportunity cost for the average driver of searching for parking is $25, which of the following probabilities would make the average person stop parking illegally? assume that people will not park illegally if the expected value of doing so is negative. Check all that apply
Assuming that people will not park illegally if the expected value of doing so is negative, the probability that a person could stop illegally parking would be 26% and 31%.
How to find the expected value?It is necessary to carry out the calculation, which is given by the following formula:
Expected value = P(x) × nApplying the values in the formula, we find the values:
= -(100 x 26%) + 25 = -(100 x 31%) + 25= -1$ = -$6Therefore, the 26% and 31% probabilities are the negative probabilities.
This is an incomplete question, and the other alternatives are:
A. 26%
B. 31%
C. 23%
D. 21%
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Big ideas math: algebra 2 student journal solutions
A conditional statement, symbolized by p → q, can be written as an “if-then
statement” in which p is the hypothesis and q is the conclusion. Here is an example.
hypothesis, conclusion,
If a polygon is a triangle, then the sum of its angle measures is 180 .
p q
°
Now, think about everything that you read. Why was building the summit tunnel considered an engineering marvel? write a paragraph that explains your ideas
Answer: They had long days, over a one-third mile. People built from both ends and from the middle to the tunnels.
Explanation: from edge 2022
Answer:
It was very long, just over one-third of a mile. It was built through hard stone called granite. Crews built it from both ends and from the middle, and the tunnels were just two inches off. It was 124 feet inside the mountain and was built entirely by hand.
Rewrite the student passage using the usage rules discussed in this lesson
To rewrite a passage using rules that convey neutrality, it is essential that the passage does not contain time and gender specificity.
How to use neutral tone in writing?It is a type of writing that is not necessarily formal or informal and should be used to provide facts about a particular topic. By using neutrality, the author does not show his feelings and emotions in relation to the topic, but only explains the facts.
Therefore, by using neutral tone, the author allows the reader to interpret a passage according to his or her own opinion.
This is an incomplete question and the correct answer to this question is as follows:
Jackie Robinson is the greates athlete America has ever known. An athete has to be talented if he or she wants to be a legend, and Robinson won many awards for his talent. Not only did he break the color barrier in baseball, he was also an incredible diplomat, speaker, and advocate for civil rights.Find out more information about neutral tone here:
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Answer:
Jackie Robinson is the greatest athlete America has ever known. An athlete has to be talented if he or she wants to be a legend, and Robinson won many awards for his talent. Not only did he break the color barrier in baseball, he was also an incredible diplomat, speaker, and advocate for civil rights.
Explanation:
JUST DID ASSIGNMENT.
Consider the graph depicting the climate data of the world's biomes. What distinguishes the boreal forest from the temperate seasonal forest?
Based on the graph, the climate of a boreal forest is much harsher than that of a temperate seasonal forest.
What is climate?Climate can be defined as the average atmospheric conditions or weather of a geographical area (region) over a long period of time.
This ultimately implies that, a climate is the average atmospheric conditions prevailing in a specific geographical region which persists for a very long period of time.
The difference between a boreal forest and temperate seasonal forest.The climate of a boreal forest is much harsher than that of a temperate seasonal forest. The boreal forest is characterized by very low temperatures while temperate seasonal forest have extended periods of warm weather.Read more on weather here: https://brainly.com/question/24730207
A buyer and a seller agreed to a home sale. it was not written, but the parties shook hands to cement the deal. the buyer gave $2,000 to the seller as earnest money and immediately moved in to the property. this agreement is
An unwritten agreement between a buyer and a seller, who agreed to sell a home is known as verbal contract.
What is contractA contract is an exchange of promise between at least two parties wherein the agreed terms are expressed either orally or in writing at a time it is made.
With regards to the above, contract is a written or expressed agreement between two parties to provide a product or service.
Hence, an unwritten agreement between a buyer and a seller, who agreed to sell a home is known as verbal contract.
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You’re trying to save to buy a new $175,000 ferrari. You have $35,000 today that can be invested at your bank. The bank pays 2. 9 percent annual interest on its accounts. How long will it be before you have enough to buy the car?
Please select the word from the list that best fits the definition in the late 1800s, india became a(n) ____ of great britain
Answer: monopoly
Explanation: I took the test , you are welcome :D
Uno company sold office equipment with a cost of $23,000 and accumulated depreciation of $12,000 for $14,000
If the company sold the office equipment at a cost of $23,000.The book value of the asset at the time of sale is $11,000.
Book valueUsing this formula
Book value=Office equipment-Accumulated depreciation
Where:
Office equipment=$23,000
Accumulated depreciation=$12,000
Let plug in the formula
Book value=$23,000-$12,000
Book value=$11,000
Inconclusion the book value of the asset at the time of sale is $11,000.
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What is the final temperature of the methane once the system equilibrates?
Answer:
If 42.0 kJ of heat is added to a 32.0 g sample of liquid methane under 1 atm of pressure at a temperature of -170 C, what is the final state of the methane once the system equilibrates? Assume no heat is lost to the surroundings. The normal boiling point of methane is -161.5 C. The specific heats of liquid and gaseous methane are 3.48 and 2.22 J/g.K, respectively.
What does number 8 wire mean to New Zealanders?
Answer:
Accordingly, the term "number 8 wire" came to represent the ingenuity and resourcefulness of New Zealanders, and the phrase "a number 8 wire mentality" evolved to denote an ability to create or repair machinery using whatever scrap materials are available on hand.
Explanation: