Discuss the history of algebra. Discuss some of the key developments in the field of algebra

Answers

Answer 1
The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations. Algebra has its roots in the theory of quadratic equations which obtained its original and quite full development in ancient Akkad (Mesopotamia) at least 3800 years ago. In Antiq- uity, this earliest Algebra greatly influenced Greeks1 and, later, Hindus. Its name, however, is of Arabic origin.

Related Questions

What is the measure of angle 1?
920
2.
86
88°
90°
92°

Answers

Answer:

m∠1 = 88°

m∠2 = 92°

Step-by-step explanation:

From the given figure lines 'k' and 'm' are the parallel lines and line 'L' is the transversal line,

m∠1 + 92° = 180° [Sum of consecutive exterior angles is 180°]

m∠1 = 180 - 92

m∠1 = 88°

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary angles]

88° + m∠2 = 180°

m∠2 = 180 - 88

m∠2 = 92°

Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?

Answers

So basically find 77% of the 22000 and then subtract that answer from 22000
Welcome

What is an equation of the line that passes through the points (-7, 3) and (-4, 3)?

Answers

Answer:

y=3

Step-by-step explanation:

y=3  ZERO slope

Since each point has 3 (same number ) as y coordinate,this is a zero slope

You will see an horizontal line on the coordinate plan

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4n3+6n2

Answers

Answer:

2n^2

Step-by-step explanation:

The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:

Step 1: 4n^3 + 6n^2 (Given polynomial)

Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)

Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)

Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)

The greatest common factor of the above polynomial is [tex]2n^{2}[/tex].

We have a polynomial as -

[tex]4n^{3} +6n^{2}[/tex]

We have to find out the greatest common factor of this polynomial.

Define Greatest common factor.

The greatest factor is the largest number that is the factor of two or more numbers.

We have the following polynomial -

f(n) = [tex]4n^{3} +6n^{2}[/tex]

We can write the function as -

f(n) = [tex]f_{1}(n) +f_{2}(n)[/tex]

In order to find the greatest common factor, take out all the common terms from the individual functions [tex]f_{1}(n)[/tex] and [tex]f_{2}(n)[/tex].

Therefore, we can write the above function f(n) as -

f(n) =  [tex]2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)[/tex]

Hence, the greatest common factor of the above polynomial is [tex]2n^{2}[/tex].

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6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long how tall is the flagpote?

Answers

Answer:

forstone

Step-by-step explanation:

sike I lied I dont know this RESPECTFULYY!!

There are TWO pictures here. Please show work

Answers

4x+y=33
X+y=12
Get the y alone, so subtract x by each side to get y= -x+12

Then fill in the equation: 4x + (-x+12)=33, remove the parenthesis and solve to get 3x+12=33. Then subtract 12 from both sides to get 3x=21. Now divide 3x from both sides to get x=7 now, use this x answer for the previous equation, x+y=12. Fill in the x so now it’s (7) + y=12
And then subtract 7 from both sides to get y=5. So for the first slide, x=7 and y=5

For the next slide, you already have y= -x+15. Fill this in for the equation 3x+2y=36. 3x+2(-x+15)=36 distribute to get 3x+-2x+30=36. Subtract the x’s to get an equation of x+30=36. Subtract 30 from both sides to get x=6 and use this for the other equation, y= -x+15 to get y= -6 + 15, which equals y=9. x=6 and y=9
I hope this helped!

A restaurant is offering 2 specials: 15 burritos for $12, or 9 burritos for $7.50. Noah needs 90 burritos for his party. Should he buy 6 orders of the 15-burrito special or 10 orders of the 9-burrito special?

Answers

Answer:

15 for $12 special

Step-by-step explanation:

It costs $72 for the 15 for $12 while it costs $75 for the 9 burrito special.

Answer:

9 burritos

Step-by-step explanation:

i think thats right if not sorry

write the inequality in words 1/3n-10>22​

Answers

A third n minus 10 greater than twenty two

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

Which is the solution to the inequality?
2 3/5

Will give you Brainiest

Answers

The third one is the correct answer

Answer:

the third one

Step-by-step explanation:

basically b<47/15 =>

b<3* 2/15


A city has a population of 320,000 people. Suppose that each year the population grows by 7%. What will the population be
after 15 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

7•15=105
Population will increase by 105%
100+105=205

320,000. 100%
x. 205%

x=320,000 • 205% divided by 100%
x=656,000 people

The value, v, does not equal 2 1/2

Answers

Answer:

We are going to need the whole question dear <3

Answer:

I need help to

Step-by-step explanation:

Sanjay works 37 hours at $10.57 per
hour
and 3 hours overtime at time-and-a-half.
What is his total pay?​

Answers

Answer:

$422.80

Step-by-step explanation:

Answer: $428.09

Step-by-step explanation:

First let's add all the hours Sanjay worked;

37 + 3.5 = 40.5 total hours worked.

Now multiply the amount of hours he worked by $10.57.

40.5 x 10.57 = $428.09 of total pay.

Can someone please help me I really need this

Answers

honestly i don’t really know but maybe a bar graph? you could put the monthly sales in the x axis and the earnings in the y axis. sorry

Given cot A= 11/60 and that angle A is in Quadrant I, find the exact value of cos cos A in simplest radical form using a rational denominator.

Answers

Answer: Below

Step-by-step explanation:cotA=11/60

tan=opposite/adjacent

cot=1/tan

cot=adjacent/opposite

cotA=11/60

adjacent=11

opposite=60

using the Pythagorean Theorem, the hypotenuse=61

csc=1/sin

cscA=1/sinA

sin=opposite/hypotenuse

sinA=60/61

csc=1/sin

cscA=61/60

The value of Cos A is [tex]\frac{11}{61}[/tex].

What is cosine of an angle?

The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°.

According to the given problem,

Given, cot A = [tex]\frac{11}{60}[/tex],  and angle A is in first quadrant then, all the function's value will be positive in nature.

Now, cot A = [tex]\frac{Base}{Perpendicular}[/tex]

cot A =  [tex]\frac{11}{60}[/tex]

Base = 11

Perpendicular = 60  

Using the Pythagorean Theorem

Hypotenuse² =  Perpendicular² +Base²

⇒ Hypotenuse² = 11² + 60²

⇒ hypotenuse = 61

Then, Cos A = [tex]\frac{Base}{Hypotenuse}[/tex]

Cos A = [tex]\frac{11}{61}[/tex]

Hence, we can conclude that Cos A is [tex]\frac{11}{61}[/tex].

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If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Answers

Answer:

50

Step-by-step explanation:

Use this equation

[tex] \frac{b - a}{2} = angle \: yuv[/tex]

where b is arc VY, A is arc XV.

Substitute the equation in

[tex] \frac{132 - a}{2} = 41[/tex]

[tex]132 - a = 82[/tex]

[tex] - a = - 50[/tex]

[tex]a = 50[/tex]

so our arc measure is 50

Please help!! I will mark you brainiest!!

Council The student council is planning an 8th grade picnic. The local company catering the event will charge a grill rental fee of $150 plus $5 per person for less than 100 students. For 100 students or more, the company will charge the grill fee plus $4.25 per person.
What is the total cost for 125 students?

Answers

The answer is $681.25

The total cost for 125 students is $905.5.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Grill rental fee = $150

Charge per person for less than 100 students = $5

Charge per person for 100 students or more = $4.25

Total number of students = 125

The total cost for 125 students is

⇒ [tex][150+5(99)]+[150+4.25(26)][/tex]

⇒ [tex][150+495]+[150+110.5][/tex]

⇒ [tex][645]+[260.5][/tex]

⇒ [tex]905.5[/tex]

Hence we can conclude that the total cost for 125 students is $905.5.

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Find a real-world example of this diagram. Next, write and solve a word problem about parallel lines and their associated angles based on your real-world example of the diagram.

Answers

Answer:

Step-by-step explanation:

A road

write down all the even number less than 100 that are prime numbers.​

Answers

Answer:

2 is the only even prime number.

All the even numbers less than 100 that are prime numbers will be 2.

What is a prime number?

A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.

If the number is divisible by 2 then the number will be an even number. Similarly, if the number is not divisible by 2 then the number will be an odd number.

The prime number from 0 to 100 is given below.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

All the even numbers less than 100 that are prime numbers will be 2.

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Together with the interest of 15%, in 20 days an amount of 5445 dollars was received. What is the capital, and how much is the interest?

Answers

Answer:

$5400

$45

Step-by-step explanation:

Interest = principal x interest rate x time

principal = p

interest rate = 15%

time = 20/365 = 0.054795

Interest = 5445 - p

5445 - p = 0.15 x p x  0.054795

5445 - p = 0.008219p

Collect like terms and solve for p

p = $5400

Interest = 5445 - 5400 = $45

Solve for x.
3/4(8x-12) = 2/3(6x+12)

Answers

Okay, so-


First, let’s change the layout of the equation

[12*3(8x-12)]/4=[12*2(6x+12)]

Then, factor

3*3(8x-12)=4*2(6x+12)

After that, multiply

9(8x-12)=8(6x+12)

Now, you’ll have this

72x-108=48x+96

Subtract 48x from each side, and you’ll have-

24x-108=96

Then, add 108 to each side, and you’ll have this

24x=240

One of the last steps now, divide 24 from both sides, and your final product should be down below

x=17/2

Help show work I will mark brainliest

Answers

Answer:

1.46035

2.200

3. 236

Step-by-step explanation:

1. Formula: length x width x height

23x9x5=46035

2. Formula: triangle area (base x height / 2) x length

10 x 20 = 200

3. Formula: πr^2 x height

(5/2)^2 x 3.14 x 12 = 235.5 = 236

Answer and step-by-step explanation:

1. A=734

due to this stuff A=2(wl+hl+hw)=2·(9·23+5·23+5·9)=734

3. A≈227.77

due to this A=2πrh+2πr2=2·π·2.5·12+2·π·2.52≈227.76547

2. the other guy is right

What is the equation of the line that passes through the point (-4,-3)and has a slope of 3/4

Answers

Answer:

y=3/4x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

Miles got 23 out of 25 questions correct on his test. What percent did he get correct?

Answers

Answer: Miles got 92% correct on his test

Step-by-step explanation:

Answer:

92%

Step-by-step explanation:

25=100%

23=? crisco

23×100/25= 92%

Which expression is equivalent to
-20/2

Answers

Answer:

Your correct, good job. >;D

please please complete the picture ​

Answers

Answer:

mode=most common answer

Step-by-step explanation:

1.12

2.9

3.1.8

4.56

5.5.9

hi please help i’ll give brainliest please

Answers

Answer:

45

Step-by-step explanation:

20+25

Find the volume of the cereal box. Use the formula V=Bh

Answers

Answer:

195

Step-by-step explanation

7.5(2)=15

v=bh

v=(15)(13)

v=195

64x+132y=1040

whats the cost of each x and each y

Answers

Answer:

y= 260/33 - 16x/33

x= 65/4 - 33y/16

Step-by-step explanation:

hope this helps ;')

WHAT IS THE SURFACE AREA HELP

Answers

Answer:

SA = 348 cm squared

HELP DUE IN 10 MINS!

The lighthouse is ?? feet above the water.

Answers

Answer:

Use tangent:

BL/BS = tan Sx / 144 = tan 25°x = 144 tan 25°x = 67 ft (rounded)
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