The hypotenuse of the triangle shown below is 12 inches. What is the lengthof a side in inches?
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Can you please give me a short brief answer
Find a solution to the following initial-value problem: dy dx = y(y − 2)e x , y (0) = 1.
According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,999. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $574. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,550 per year on reading and entertainment?
A vacant city lot is being turned in to a garden. the neighbors want to fence in a triangular section of the lot and plant flowers there. the longest side of the triangular sec is 8 feet shorter than twice the shortest side. the third side is 4 feet longer than the shortest side. the perimeter is 56 feet. how long is each side?
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Step-by-step explanation:
This is a straight line equation. We only need two points to draw a straight line.
Choose two different numbers, put them into the equation instead of x, and calculate the value of y.
for x = 8
(8, 1)
for x = -8
(-8, 3)
Mark the points in the coordinate system and draw a straight line through the given points.
(look at the attachment)
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Answer:
See Below:
Step-by-step explanation:
Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.
22= (25+18+17+13+24+x)/6
Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.
22 = (25+18+17+13+24+x)/6 Multiply both sides by 6
132= 97+ x Subtract 97 from both sides.
35 = x
The person who just entered the room is 35 years old.
Final answer:
To solve this, we first find the total age of the original five people, then the total age of all six with the given mean age. By subtracting these, we find that the age of the person who entered is 35 years old.
Explanation:
This problem can be solved using simple arithmetic. First, we calculate the total age of the first 5 people, which is 25 + 18 + 17 + 13 + 24 = 97 years. Then, we need to determine the total age of all 6 people. We're told the mean (average) age of these 6 people is 22. We find the total by multiplying the mean by the number of people, so 22 * 6 = 132 years. Finally, to find the age of the person who entered the room, we subtract the total age of the first 5 people from this new total, i.e. 132 - 97 = 35 years. So, the person who entered the room is 35 years old.
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Answer:
hello! :)
-167
Answer: 167
Step-by-step explanation:
First get X by itself.
substract 27 to each side
194=27-x
194= 27 -27 -x
194 - 27 = X
X= 167
If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180∘.
Conclusion:
If two angles form a linear pair, then the sum of their measures is 180∘.
A The argument is valid by the law of detachment.
B The argument is valid by the law of syllogism.
C The argument is not valid because the conclusion does not follow from the premises.
D The argument is not valid because the premises are not true.
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Answer:
the answer is: The argument is valid by the law of syllogism.
Step-by-step explanation:
thanks for the wrong answer other guy.
Final answer:
The argument mentioned in the question is valid by the Law of Syllogism in mathematics, which says that if 'if p then q' and 'if q then r' are two implications then 'if p then r' can be deduced from them.
Explanation:
In the context of this question, the correct answer would be (B) The argument is valid by the law of syllogism. The Law of Syllogism states that if we have two conditionals, 'if p then q' and 'if q then r', and and q is the same in both, then we can deduce a new conditional 'if p then r'.
In this case:
- 'p' is 'two angles form a linear pair'
- 'q' is 'they are supplementary'
- 'r' is 'the sum of their measures is 180∘'
So, 'if p then q' is 'If two angles form a linear pair, then they are supplementary', 'if q then r' is 'If two angles are supplementary, then the sum of their measures is 180∘'. Therefore, we can deduce the new conditional 'If two angles form a linear pair (p), then the sum of their measures is 180∘ (r)', which is the conclusion mentioned.
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Answer:
66.99 cm³
Step-by-step explanation:
the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3
= 66.99cm³