The question is an illustration of Pythagoras theorem
The length of the hypotenuse is 11.8 cm
How to determine the length of the hypotenuseThe legs of the right triangle have the following measures
Leg 1 = 7 cm
Leg 2 = 9.5 cm
So, the length of the hypotenuse (h) is calculated using the following Pythagoras theorem.
\(h = \sqrt{Leg\ 1^2 + Leg\ 2^2}\)
This gives
\(h = \sqrt{7^2 + 9.5^2}\)
Evaluate the squares
\(h = \sqrt{139.25}\)
Evaluate the exponent
\(h = 11.8\)
Hence, the length of the hypotenuse is 11.8 cm
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Answer:11.8
Step-by-step explanation:
Y E S
Someone help please thank you
Answer:
The answer is C which is -3
Step-by-step explanation:
mike pays $2.79 for coffee every weekday morning on his way to work. on saturdays, he goes to visit his mother and takes her out to her favorite coffee shop where he spends $7.83 for two coffees. how much does he spend per week for coffee? $21.78 $26.91 $13.95 $29.61
Answer:
$21.78
Step-by-step explanation:
2.79 X 5 = 13.95
13.95 + 7.83 = 21.78
which of the following points is on the unit circle
The required answer is the all of the given points (A, B, C, and D) are on the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.
To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.
consider the points given and check if they are on the unit circle:
- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)
Checking each point:
- Point A: (1, 0)
- 1^2 + 0^2 = 1 + 0 = 1
- The coordinates satisfy the equation, so point A is on the unit circle.
- Point B: (0, -1)
- 0^2 + (-1)^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point B is on the unit circle.
- Point C: (-√2/2, √2/2)
- (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
- The coordinates satisfy the equation, so point C is on the unit circle.
- Point D: (0, 1)
- 0^2 + 1^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point D is on the unit circle.
In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.
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fill in the blank question. gardening ennis has 4 lengths of wood from which he plans to make a border for a triangular-shaped herb garden. the lengths of the wood borders are 8 inches, 10 inches, 12 inches, and 18 inches. how many different triangular borders can ennis make?
Ennis can make 4 different triangular borders using the given lengths of wood.
To determine how many different triangular borders Ennis can make, we need to apply the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Let's consider each possible combination of three sides from the four given lengths of wood:
8 inches, 10 inches, 12 inches: forms a valid triangle
8 inches, 10 inches, 18 inches: forms a valid triangle
8 inches, 12 inches, 18 inches: forms a valid triangle
10 inches, 12 inches, 18 inches: forms a valid triangle
Therefore, Ennis can make 4 different triangular borders using the given lengths of wood.
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example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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X(x+5)+7(x+5)
Help please its for algebra class thanks for your support and your help thanks a lot
Answer:
x^2+12x+35Step-by-step explanation:
Let's simplify step-by-step.
x(x+5)+7(x+5)
Distribute:
=(x)(x)+(x)(5)+(7)(x)+(7)(5)
=x^2+5x+7x+35
Combine Like Terms:
=x^2+5x+7x+35
=(x^2)+(5x+7x)+(35)
=x^2+12x+35
Answer:
=x^2+12x+35
The two-way table below shows the number of students in a school who like mathematics and/or physics: Like Mathematics Do Not Like Mathematics Total Like Physics 15 20 35 Do Not Like Physics 5 25 30 Total 20 45 65 How many more students like physics than mathematics? 10 15 20 25
The number of students like physics more than mathematics is 15 , Option B is the correct answer.
What is a Number ?A mathematical way of expressing quantity of a substance is called a Number.
Number of students in a school who like mathematics = 20
Number of students in a school who like physics = 35
number of students in a school who like only physics is 20
number of students who like only Mathematics is 5
the number of students like physics more than mathematics is 20-5 = 15
Therefore Option B is the correct answer.
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...................................................
Answer:
chicken nuggies
Step-by-step explanation:
Write twenty-eight is less than forty with numbers and a comparison symbol.
Using numbers and a comparison symbol the inequality that can be written for the phrase stated is: 28 < 40.
How to Write Inequality as a Comparison Symbol?Inequality is a mathematical statement that compares two quantities that are not equal. Comparison symbol that can be used are:
"Less than" which is represented as "<"
"Greater than" which is represented as ">"
"Less than or equal to", which is represented as "≤"
"Greater than or equal to" which is represented as "≥".
Thus, we have the following:
Twenty-eight is 28
Forty is 40
Thus, using numbers and a comparison symbol the inequality that can be written for the phrase stated is: 28 < 40.
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Plz help me answer this
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
Substitute in x: 13(y + 6) - 6y = 22Distribute 13: 13y + 78 - 6y = 22Combine like terms: 7y + 78 = 22Isolate y term: 7y = -56Isolate y: y = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2What is the difference between the values of I-10| and 19| ?
The difference between the given values of |-10| and 19 is - 9
What is an algebraic expression ?
Algebraic expression can be defined as the combination of variables , constants and exponents .
Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their actual values. The fundamentals of algebra taught us the way to explicit an unknown value the use of letters such as x, y, z, and so on. these letters are called here as variables. An algebraic expression may be a aggregate of both variables and constants. Any cost this is placed before and extended by way of a variable is a coefficient.
Given values ,
|-10| and 19
the difference ,
|-10| - 19 = 10-19
= -9
Hence, The difference between the given values of |-10| and 19 is - 9
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Help me please will mark brainliest
Answer:
-2 1/6
Step-by-step explanation:
Can anyone send these answers
Answer:
a.12.6 b.8.0
Step-by-step explanation:
The diameter of a circle is 4 m. Find its area to the nearest tenth.
Answer:
12.6m²
Step-by-step explanation:
radius=2
Area=π2²=12.6(1dp)
Question 1 (1 point) Home Remodelers, Inc., and Imogen enter into a contract for a sale of cabinets and countertops. Home Remodelers merchant who deals in goods of the kind sold, notes that its goods come with an implied Under the UCC, this means that the goods are reasonably warranty of merchantabilit fit for the buyer's particular purpose. O fit for the ordinary purpose for which such goods are used. O suitable for resale at an acceptable price. C the best quality that money can buy Save Question 2 (1 point) Olive, an agent for Precision Paving Corporation, enters into an unauthorized contract with Quality Asphalt, Inc.
The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of examples of each of these concepts.
1. O fit for the ordinary purpose for which such goods are used.
2. A enforce the contract against Olive.
3. C An express warranty must be in writing and signed by the parties.
4. C supported by consideration.
5. O is void.
6. C enforceable.
7. O is a rejection and counteroffer.
8. O A promise to do something in the present in exchange for something else in the future.
9. A An offer to pay a reward for the return of lost property.
10. C An offer to do something in the future in exchange for something else in the present.
The answer provided illustrates the concept of implied and express warranties, unilateral and bilateral contracts, voidable and void contracts, and executory consideration. It also provides number of examples of each of these concepts.
The complete question is :
Question 1 (1 point) Home Remodelers, Inc., and Imogen enter into a contract for a sale of cabinets and countertops. Home Remodelers merchant who deals in goods of the kind sold, notes that its goods come with an implied Under the UCC, this means that the goods are reasonably warranty of merchantabilit fit for the buyer's particular purpose. O fit for the ordinary purpose for which such goods are used. O suitable for resale at an acceptable price. C the best quality that money can buy Save Question 2 (1 point) Olive, an agent for Precision Paving Corporation, enters into an unauthorized contract with Quality Asphalt, Inc. Quality Asphalt may, at its option, A enforce the contract against Olive. O enforce the contract against Precision Paving. C void the contract. Save Question 3 (1 point) Which of the following statements about an express warranty is true? A An express warranty does not need to be in writing. O An express warranty does not need to be signed by the parties. C An express warranty must be in writing and signed by the parties. Save Question 4 (1 point) In order to be enforceable, a contract must be A fair and equitable to both parties. O signed by both parties. C supported by consideration. Save Question 5 (1 point) A contract that is void because of a mistake by one of the parties O is voidable. A is void. C is still enforceable. Save Question 6 (1 point) A contract between two individuals is generally A voidable. O void. C enforceable. Save Question 7 (1 point) Phil makes an offer to sell a house to Sally for $200,000. Sally responds by saying that she will buy the house for $200,000, but wants to add a condition that the house must pass an inspection. This response A is an acceptance of the offer. O is a rejection and counteroffer. C is a condition of acceptance. Save Question 8 (1 point) Which of the following is an example of Executory consideration? A A promise to do something in the future in exchange for something else in the present. O A promise to do something in the present in exchange for something else in the future. C A promise to do something in the future in exchange for something else in the future. Save Question 9 (1 point) Which of the following is an example of a unilateral contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save Question 10 (1 point) Which of the following is an example of an implied contract? A An offer to pay a reward for the return of lost property. O An offer to do something in the present in exchange for something else in the future. C An offer to do something in the future in exchange for something else in the present. Save
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Write down a n equation to represent the production cost(y)in terms of a,x,b and c
The production cost is an illustration of a quadratic function
The equation of the production cost is \(y = ax^2 + bx - c\)
How to determine the equationFrom the complete question, we have the following parameters:
Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)Using the instructions in the question, the equation of the production cost would be:
\(y = ax^2 + bx - c\)
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Approximate the sum of the series correct to four decimal places.[infinity] (−1)n − 1n28nn = 1
The series is an alternating series that satisfies the conditions of the Alternating Series Test, so we know that the series converges. To approximate the sum of the series, we can use the formula for the remainder of an alternating series:
|Rn| ≤ a(n+1), where a(n+1) is the absolute value of the first term in the remainder.
In this case, the absolute value of the first term in the remainder is 1/(2*(n+1))^2. So we have:
|Rn| ≤ 1/(2*(n+1))^2 To approximate the sum of the series correct to four decimal places, we can find the smallest value of n such that the remainder is less than 0.0001: 1/(2*(n+1))^2 ≤ 0.0001 Solving for n, we get: n ≥ sqrt(500) - 0.5 ≈ 22.36
So, to approximate the sum of the series correct to four decimal places, we need to add up the first 23 terms of the series: S23 = (-1^1-1/2^8) + (-1^2-1/4^8) + (-1^3-1/6^8) + ... + (-1^23-1/46^8) Using a calculator or a computer program, we find that S23 ≈ 0.3342. Therefore, the sum of the series correct to four decimal places is approximately 0.3342.
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Find the surface area of the following shape. Round to the tenths place
Okay, here we have this:
Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:
Then we will use the following formula:
A= πrL + πr^2
Replacing:
A= π(4 m)(10 m) + π(4 m)^2
A= 40π m^2 + 16π m^2
A= 56π m^2
A≈175,9 m^2
Finally we obtain that the surface area of the cone is approximately 175,9 m^2.
There are 12 third-grade students and 15 fourth-grade students in the band.
They will travel to a concert in cars that can hold 4 students each. Which of
these can be used to find out how many cars are needed to drive the students?
Answer:
The answer is the first one (12+15) / 4
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70
Step-by-step explanation:
280×25%=70 pages per night
Answer:
70
Step-by-step explanation:
A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
Two drivers moving in opposite directions on an 18-mile circular racetrack cross each other at a certain point. If one of them has an average speed of 1.2 miles per minute and the other has an average speed of 1.8 miles per minute, how many minutes will it take for them to cross each other again?
Answer:
They both would cross each other again in the next 5 minutes
Step-by-step explanation:
The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.
That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.
That would be 3.6 miles per minute.
Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.
That would be 18/3.6 = 5
This means they would cross each other again in the next 5 minutes
How many solutions does 3x+2y=8; 4x+3y=1 have
multiply 1 1/4 by 180
Answer:
225
Step-by-step explanation:
1 1/4 can be put into decimal form:
1.25
So the equation would now be
1.25 times 180
use a calculator:
225
Answer: 225
1 1/4 x 180 = 225
How does the importance of graphs help in real life scenarios?
The importance of graphs help in real life scenarios , are monitoring our body's parts, relationship between two variables and visulazation the loss or profit in business etc.
What is graph?In mathematics, a graph can be defined as a graphical representation that systematically represents data or values. Examples :
bar graphline graphImportance of graph in real life :
It is very useful for monitoring your body's goals such as blood sugar, cholesterol, and body temperature. For example, if you have asthma, you may want to graph your peak expiratory flow on a chart each day to monitor your breathing.Graphs allow you to quickly visualize data or the behavior of something while avoiding the intimidating math and models that charts represent. If the board is given a list of data points with corresponding gains, losses, etc., as opposed to a simple line chart,It will show the relationship between one changing quantity (variable) and another changing quantity. For example, the amount of weight lost in a few days or weeks.Hence, graphs play important role in our real life.
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(pls give the answer and working out)
simplify fully:
Answer:
As you wish love, 2sqrt x 3sqrt8 = 12sqrt6
Step-by-step explanation:
2sqrt3x3sqrt8
Simplify,
2sqrt3 x 3 x 2sqrt2
Evalutate,
12sqrt6
pls help
10. Simplify 4 ×5 – 32 × 2 ÷ 6
11. Simplify −2(−9 + 3)
15. Solve -a/13 =18
18. Solve 7 = 5x 3(x – 2) 5
19. Solve 11w 2(3w - 1) = 15 w
21. If U = {natural numbers less than
20} and N = {factors of 18}, what is
N'
22. Solve and graph 17 – 2a ≤ 29
23. Solve and graph 12c + 6 > 9c – 15
1. The expression can be simplified as follows: 4 × 5 – 32 × 2 ÷ 6 = 20 – 16 ÷ 6 = 20 – 2 = 18.
2. The expression can be simplified as follows: -2(-9 + 3) = -2(-6) = 12.
3. To solve this equation, we need to isolate the variable a. We can do this by dividing both sides of the equation by -13: -a/13 = 18. Dividing both sides of the equation by -13 gives us a = -18 * 13 = -234.
4. To solve this equation, we need to isolate the variable x. We can do this by moving all terms involving x to one side of the equation and all constants to the other side. This gives us: 7 = 5x + 3(x – 2). We can then distribute the 3 to get 7 = 5x + 3x – 6. Combining like terms, we get 7 = 8x – 6, which we can solve by adding 6 to both sides to get 13 = 8x. Dividing both sides of the equation by 8 gives us x = 13/8.
5. To solve this equation, we need to isolate the variable w. We can do this by moving all terms involving w to one side of the equation and all constants to the other side. This gives us: 11w + 2(3w - 1) = 15 w. We can then distribute the 2 to get 11w + 6w - 2 = 15w. Combining like terms, we get 17w - 2 = 15w, which we can solve by adding 2 to both sides to get 17w = 15w + 2. Subtracting 15w from both sides gives us 2w = 2, which we can solve by dividing both sides by 2 to get w = 1.
6. N' is the complement of the set N. This means that N' contains all elements that are not in the set N. Since the set N contains all factors of 18, N' will contain all natural numbers less than 20 that are not factors of 18. Some elements of N' are 1, 2, 4, 5, 7, 8, 11, 13, 14, 16, and 17.
7. The solution to the inequality 17 - 2a ≤ 29 is all values of a that satisfy the inequality. To find these values, we can first subtract 17 from both sides of the inequality to get -2a ≤ 12. Dividing both sides of the inequality by -2 gives us a ≥ -6. This means that the solution is the set of all values of a that are greater than or equal to -6. This solution can be represented on a number line
8.To solve the inequality 17 – 2a ≤ 29, we first need to isolate the variable on one side of the inequality. To do this, we need to subtract 17 from both sides, which gives us -2a ≤ 12. Dividing both sides by -2, we get a ≥ -6. To graph this inequality, we can use a number line. We would draw a solid line at -6 and shade the region to the right of the line, since a is greater than or equal to -6.
9. To solve the inequality 12c + 6 > 9c – 15, we first need to isolate the variable on one side of the inequality. To do this, we need to subtract 9c from both sides, which gives us 3c + 6 > -15. Next, we need to add 15 to both sides, which gives us 3c + 21 > 0. Finally, we can divide both sides by 3 to get c > -7. To graph this inequality, we can use a number line. We would draw a solid line at -7 and shade the region to the right of the line, since c is greater than -7.
Find the distance between the points (2.8) and (-1, 9). o √2 V10 NEXT QUESTION O ASK FOR HELP
Solution:
The distance between two points can be calculated by the formula
\(\begin{gathered} (x_1,y_1)=(2,8) \\ (x_2,y_2)=(-1,9) \\ d=\sqrt[]{(-1-2)^2+(9-8)^2} \\ \end{gathered}\)\(\begin{gathered} d=\sqrt{(-3)^2+(1)^2} \\ d=\sqrt{9+1} \\ d=\sqrt{10} \end{gathered}\)\(The\text{ answer is }\sqrt[]{10}\)B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the number of open exits, E.It takes 12 minutes for a stadium to empty when there are 20,000 spectators and 20 open exits. How long does it take the stadium to empty when there are 36.000 spectators and 24 open exits.
Answer:
18 minutes
Step-by-step explanation:
Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).
Hence:
T ∝ S; T ∝ 1 / E
Let k be the constant of proportionality. This gives:
T = kS / E
when T = 12 minutes, S = 20000, E = 20. Hence:
12 = k(20000) / 20
20000k = 240
k = 12 / 1000
This gives:
T = \(\frac{12}{1000}(\frac{S}{E} )\)
When S = 36000, E = 24, we are to calculate the time (T):
\(T=\frac{12}{1000} (\frac{36000}{24} )=18\\\)
T = 18 minutes