Greek mathematicians, who were first influenced by the Egyptians, would go on to produce innovations like Pythagoras' theory of right-angled triangles and, by concentrating on the abstract, bring accuracy and clarity to venerable mathematical conundrums.
How related Greeks and mathematics?Modern mathematics was created as a result of the contributions made by the ancient Greeks to the subject. The Greeks generally concentrated on geometry in an effort to describe shapes using numbers. This emphasis produced a number of quite important discoveries, many of which are still applicable to the mathematics we practice today.Miletus, a city of Ionia in Asia Minor and the cradle of Greek philosophy, mathematics, and science, was the location of the greatest Egyptian and Babylonian influence.Modern mathematics was created as a result of the contributions made by the ancient Greeks to the subject. The Greeks generally concentrated on geometry in an effort to describe shapes using numbers.To learn more about Greeks and mathematics refer to:
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A shop is having a sale.
All items are reduced by 25%
Work out the sale price of an item normally priced at £90
The sale price of an item normally priced at £90 is £67.5
What is the percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100.
Given :
A shop is having a sale. all items are reduced by 25%.
To Find:
Work out the sale price of an item normally priced at £90.
Price of an item = £90
Price is reduced by 25%
Reduction in price = 25%*90=25/100= 22.5
Reduced price = 90-22.5=67.5
Hence, the sale price of an item normally priced at £90 is £67.5
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Dennis spends 1.5 hours practicing guitar each
day. What is the total amount of time (in hours)
that Dennis spent practicing guitar after 8 days?
Dennis spent 12 hours practicing.
1.5 hours = 90 mins
90 mins x 8
720 mins = 12 hours
line bd is tangent to a circle with diameter ab. explain why the measure of angle bca must equal the measure of angle abd.
The measures of the angles BCA and ABD are equal because they are both right angles.
The line segment BD is a tangent to the circle with diameter AB. We need to find out the reason why the measure of angle BCA must be equal to the measure of angle ABD. The diagram is attached below.
Since AB is the diameter of the circle, it makes an angle equal to 180 degrees at the center of the circle. So the measure of the angle BCA is half of the angle produced by the diameter.
∠BCA = (1/2)×180° = 90°
Since the line BD is tangent to the circle, it will be perpendicular to the diameter. Hence, the angle formed by the diameter and the tangent must be the right angle.
∠ABD = 90°
Hence, both the angles are equal to each other.
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Find the equation of a line parallel to 3x+3y=6 that passes through the point (7,-1)
The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is y = -x + 8
How to find equation of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe lines that are parallel have the same slopes.
Therefore, let's find the slope of the equation 3x+3y=6.
3x + 3y = 6
3y = - 3x + 6
divide through by 3
y = - x + 2
Therefore, the slope is - 1.
Let's find the y-intercept of the equation using (7, 1)
y = - x + b
1 = - 7 + b
b = 8
Therefore, the equation of the line is y = -x + 8
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Please, can someone help me with this math? I would greatly appreciate it!
The proof that shows that lines DC and AB are parallel is shown below.
What is the SSS Congruence Theorem?The SSS congruence theorem states that two triangles that have three corresponding congruent sides are congruent to each other.
When two triangles are proven to be congruent triangles, invariably, we can state that the corresponding parts of both triangles are also equal to each other by CPCTC.
The following proof shows lines DC and AB are parallel lines:
Statement Reasons
1. AB = CD 1. Given
AD = CB
2. Line AC = Line AC 2. Reflexive property
3. Triangle ADC ≅ Triangle ABC 3. SSS
4. Angle 1 ≅ Angle 4 4. CPCTC
5. DC║AB 5. Converse of alternate interior ∠s theorem
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8. 5. 3
Question Help
Gregg manages a small cleaning business. He has 16 employees. The cleaners get paid $13 per hour. The cleaning supervisors get paid $18 per hour. His budget has
set aside a payroll expense of $233 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ?
supervisors.
Gregg employed cleaners and
(Simplify your answers. )
Gregg manages a small cleaning business. He has 16 employees. The cleaners get $13/hour. The cleaning supervisors get paid $18/hour. then Gregg employed 11 cleaners and 5 cleaning supervisors.
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 16
13c + 18s = 233
Solve by substitution by solving for c in the first equation:
c + s = 16
c = 16 - s
Then, plug in 18 - s as c into the second equation:
13c + 18s = 233
13(16 - s) + 18s = 233
Solve for s:
208 - 13s + 18s = 233
208 + 5s = 233
5s = 25
s = 5
Then, plug in 5 as s into the first equation:
c + s = 16
c + 5 = 16
c = 11
So, Gregg employed 11 cleaners and 5 cleaning supervisors.
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Help me find the slop for question 1 and 2 ill give credit
The slopes of the given lines are:
1. 2/5.
2. -1.
How to Find the Slope of a Line?If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
1. Using two points on the line, (3, 1) and (-2, -1):
Slope of the line = m = (-1 - 1)/(-2 - 3)
Slope of the line (m) = -2/-5
Slope of the line (m) = 2/5
The slope of the graph is 2/5.
2. Using two points on the line, (-3, 2) and (2, -3):
Slope of the line = m = (-3 - 2)/(2 -(-3))
Slope of the line (m) = -5/5
Slope of the line (m) = -1
The slope of the graph is -1.
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A blue whale weighs about 200 tons. It eats only small sea creatures called krill. The blue whale
eats 2% of its body weight each day. How many tons of krill does the blue whale eat each day?
Explain your thinking.
Answer:
4 tons of its body weight
Step-by-step explanation:
In this situation you must find 2% of 200. This is simply 4.
Answer: 4 tons
Step-by-step explanation:
the whale eats 2% of itself everyday, so it would be x/200= 2/100 and the whale would eat x tons, which equals 4 so it eats 4 tons of krill a day
For each sequence that is neither arithmetic nor geometric, how can you change a
single number to make it an arithmetic sequence? A geometric sequence?
If the common difference between every term in a sequence is the same, the sequence is arithmetic. If all of the terms in a sequence have the same common ratio, the sequence is geometric.
Take a look at the sequence 2,4,6,8, and note how each new term is created by adding a constant term, in this case 2, to the one before it.
For instance, the number 4 is created by adding 2 to the previous phrase, in this case the number 2.
Similar to how 2 + 4 = 6, another number is obtained by adding 2 to 4.
As a result, the sequence is arithmetic since there is a common difference between the sequences, which in this case is 2.
Take the numbers 3, 6, 12, etc.
Keep in mind that the ratio of the following and preceding terms is the same (6/3=2 and 12/6=2).
Such a sequence is referred to as a geometric sequence, and the constant ratio is known as the common ratio of the sequence and is typically indicated by the symbol r.
What is arithmetic sequence?
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
What is geometric sequence?
Every term in a geometric series is obtained by multiplying the term before it by the same number.
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A square painting has a side length of 17 inches.
What is the area of the painting?
The area of the painting is 289 [tex]inches^{2}[/tex].
Given:
A square painting has a side length of 17 inches.
we know that,
Area of square = side * side.
= 17 inches * 17 inches
= 289 [tex]inches^{2}[/tex].
Therefore the area of the painting is 289 [tex]inches^{2}[/tex].
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i need help pls ahhhhh
Answer:
here is the answer have a good day
Answer:
1. 40/5=8
8 x 3p=24p
8(3p+5)=24p+40
2. 48/8=6
64/8=8
8(6q-8)=48q-64
Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
6
x
−
6
=
15
x
+
15
6x−6=15x+156, x, minus, 6, equals, 15, x, plus, 15
(Choice B)
B
6
x
+
15
=
6
x
+
15
6x+15=6x+156, x, plus, 15, equals, 6, x, plus, 15
(Choice C)
C
6
x
−
15
=
6
x
+
15
6x−15=6x+156, x, minus, 15, equals, 6, x, plus, 15
(Choice D)
D
6
x
−
6
=
6
x
+
15
6x−6=6x+156
The equation which has exactly one solution is 6x - 6 = 15x + 15.
The correct answer option is option A
Solving equations with one solutionCheck all that applies:
6x - 6 = 15x + 15
6x - 15x = 15 + 6
- 9x = 21
divide both sides by -9
x = 21/-9
x = -2.33
6x + 15 = 6x + 15
6x - 6x = 15 - 15
0 = 0
False
6x - 15 = 6x + 15
6x - 6x = 15 + 15
0 = 30
False
6x - 6 = 6x + 15
6x - 6x = 15 + 6
0 = 21
False
In conclusion, the 6x - 6 = 15x + 15 has only one solution.
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Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy.
Write an expression to represent the age of Randy’s brother.
Step-by-step explanation:
Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy. Write an expression to represent the age of Randy’s brother.
Randy = R = 8 years
Brother = B
B = 2R
solving:
B = 2R when R = 8
B = 2(8)
B = 16 years old
Answer: Its 16
Step-by-step explanation:
You need to take randy's age twice so you need to calculate 8x2= 16.
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The width, labelled x in the figure is 162.5 meters
How to determine the width of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 650 - 2x
Width = x
The area of a rectangle is the product of its dimensions
So, we have
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
A = (650 - 2x) * x
Evaluate
A = 650x - 2x²
Differentiate and set to 0
650 - 4x = 0
So, we have
4x = 650
Divide by 4
x = 162.5
Hence, the width is 162.5 meters
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a hospital director is told that 31% of the emergency room visitors are uninsured. the director wants to test the claim that the percentage of uninsured patients is below the expected percentage. a sample of 380 patients found that 95 were uninsured. find the value of the test statistic. round your answer to two decimal places.
The test statistic is -2.60 as a sample of 380 patients found that 95 were uninsured.
What is test statistic?A statistic used in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is typically expressed. For instance, the Z-statistic, which has the typical normal distribution under the null hypothesis, is the test statistic for a Z-test. Here,
n=380
x=95
p=95/380
p=0.25
test=(0.25-0.31)/√(0.28(1-0.28)/380)
test=-2.60
The test statistic is -2.60 because 95 out of 380 patients in the sample did not have insurance.
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The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
2:5. Find the length and the width.
The width of the rectangle is 12 feet and the length is 30 feet.
What is perimeter?The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.
Let the width be 2x and length be 5x,
Perimeter = 2(l+w)
2(2x+5x) = 84
2x+5x = 84/2
2x+5x = 42
7x = 42
x = 42/7
x = 6
Therefore, width = 6x2 = 12
Length = 5x6 = 30
Hence, The width of the rectangle is 12 feet and the length is 30 feet.
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a standard deck of 52 cards is acquired. for those who do not know, a deck of cards contains 4 suits (hearts, diamonds, clubs, and spades). hearts and diamonds are red, clubs and spades are black. there are 13 denominations of cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace). if you select two cards (without replacement), what is the probability that you select a black card and a red card?
The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
Since we have not mentioned the order,
so it can black-red or red-black,
=26/52*26/51+26/52*26/51
=2*26/52*26/51
=26/51
Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.
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Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9
Answer:
(3,0) (-3,0)
Step-by-step explanation:
ask:))
Be Precise: Yesterday, Noah ran 2½ miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in hour. How fast, in miles per hour, did each person run? Who ran the fastest? Help pleaseeee
Answer:
Step-by-step explanation:
Noah- 4 1/6 miles/hour
Emily- 8 1/10 miles/hour
Anna- 3 1/2 miles/ hour
Emily ran the quickest.
Answer:
Anna was the fastest.
Step-by-step explanation:
Following are the steps we take to determine each one's speed:
speed=distance/time
Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.
Find the equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
To find: Equation of line parallel to 5x + 3y = -21 and passes through the point (-9, -3)
Solving the given 5x + 3y = -21 for 3y yields 3y = -5x - 21.
Dividing all three terms by 3, we get:
y = (-5/3)x - 7, indicating that the given line has slope -5/3.
The slope of a line perpendicular to this y = (-5/3)x - 7 is 3/5, the negative reciprocal of -5/3.
Start with y = mx + b
Substitute -3 for y, -9 for x, and 3/5 for m
We get,
-3 = (3/5) (-9) + b
∴ b = 5/9
Thus, the equation is y = (3/5)x + 5/9 is the required equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
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1 Which of the following equations are
true? Select all that apply.
A 7+(-7) = 14
B -4+9=5
C 3-(-10) = -7
D -2-6=-8
Equations B and D are true.
227 x 173 simplify using identities. Ple someone answer quickly.....
Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!
The green point is marked on the coordinate plane. What ordered pair represents the green point?
Answer:
pretty sure its (-6, -4)
Step-by-step explanation:
in the ||| quadrant so I know they are both negative.
The point is 6 units to the left and 4 units down.
Hope this helps! Good luck!
76.43 divide 3.4
Please Answer
Answer:
22.479411764705882352941176470588
Step-by-step explanation:
76.43/3.4
=22.479411764705882352941176470588
what is the height of the polygon if the area is 9,408
Answer:
84 cm=================
Given is a parallelogram
Area of the parallelogramA = bh, where h- height, b- baseSubstitute given values and find h9408 = 112hh = 9408/112h = 84Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?
Answer:
$12.50 per hour
Step-by-step explanation:
Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?
50 / 4 = $12.50 per hour
Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?
Answer:
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Step-by-step explanation:
The objective is to find the plan that provides the lowest cost per song. "Lowest cost per song" is basically $/song. So let's compare the two plans by calculating the cost per song.
Plan 1: $9.60/(8 songs) = $1.20/song
Plan 2: $15.00/(15 songs) = $1.00/song
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to
solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.
y - 3x + 7
5x-y-5
A jar contains only pennies, nickels, dimes, and quarters. There are 26 pennies, 12 dimes, and 19 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n? of the coins are not nickels.
Answer:
57 coins are not nickels.
Equation: n + 57 = 70
Step-by-step explanation:
To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:
26 + 12 + 19 = 57 coins are not nickels.
The equation you could use to find n (nickels) would be:
n + 57 = 70
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
