# Posts by Bosnian

Total # Posts: 2,513

Math
Paste your question in g o o g l e When you see list of results go on: w w w . algebra . c o m › Misc › Customizable Word Problem Solvers You will find solution.

Math
Let the numbers be A and B. A basic formula: A * B = HCF * LCM In this case: A * B = 8 * 504 A * B = 4032 If one of the numbers = 72, the other number = 4032 / 72 = 56 The numbers are 56 and 72

science
After 10 000 yrs, 1 000 / 2 = 500 grams of the substance's parent material is left. After next 10 000 yrs, 500 / 2 = 250 grams of the substance's parent material is left. 10 000 yrs + 10 000 yrs = 20 000 yrs

Math
What is problem? ( 12 x 2 ) + ( 4 x 3 ) = 24 + 12 = 36 ( 5 x 2 ) + ( 3 x 15 ) = 10 + 45 = 55

Can anyone speak Turkish Greek
t r a n s l a t e . g o o g l e. c o m

math
33 + 34 + 43 + 44 = 154

Math
dP = diameter of circle P dQ = diameter of circle Q AP = area of circle P AQ = area of circle Q 40% = 40 / 100 = 0.4 dP = 0.4 dQ Area of circle = d² ? ? /4 AQ = dQ² ? ? /4 AP = dP² ? ? /4 AP = ( 0.4 dQ )² ? ? /4 AP = 0.16 dQ²? ? /4 AP / AQ = 0.16 = 16%

math
( 12 + 3 * 8 ? 8 ) ÷ 4 = 7 _______________________ Proof: ( 12 + 3 * 8 ? 8 ) ÷ 4 = ( 12 + 24 ? 8 ) ÷ 4 = ( 36 ? 8 ) ÷ 4 = 28 ÷ 4 = 7 _____________________

math
When their aunt give them x amount of money, David have RM 180 + x Maria have RM 55 + x David have twice as much money as Maria mean: ( 180 + x ) / ( 55 + x ) = 2 Multiply both sides by 55 + x 180 + x = 2 ? ( 55 + x ) 180 + x = 2 ? 55 + 2 ? x 180 + x = 110 + 2 x Subtract x to ...

maths
The half life tells us that after 5730 years, half the original substance remains: ( 1 / 2 ) a = a * e ^ ( r * 5730 ) Divide both sides by a 1 / 2 = e ^ ( r * 5730 ) Take the natural logarithm of both sides ln ( 1 / 2 ) = r * 5730 Divide both sides by 5730 ln ( 1 / 2 ) / 5730...

Math
8% + 100% = 108% = 108 / 100 = 1.08 The n-th term of a geometric sequence with initial value a1 and common ratio r is given by: an = a1 ? r ??¹ In tis case : a1 = 160 r = 1.08 Need to notice that term two is after one year, so term 7 will be after 6 years. n = 7 so: a6 = ...

maths
rate = 1° / 30 min = 2° / 60 min = 2° / h T = temperature t = time Temperature = rate ? time T = rate ? t 20 ° = 2° / h ? t t = 20 ° / ( 2° / h ) t = 20 ° ? h / 2° t = 10 h Reference time = 6:00 am 6:00 am + 10 h = 16 h = 4:00 pm

Math
y? +16 y² -15 = 0 ( y² )² +16 y² -15 = 0 Substitute y² = x x² +16 x -15 = 0 x² +16 x = 15 x² +16 x + 64 = 15 + 64 x² +16 x + 64 = 79 ( x + 8 )² = 79 x + 8 = ± ?79 x = ± ?79 - 8 x?= - ?79 - 8 x?= ?79 - 8 Now: y&...

maths
Remark: For the real parts: x² - 9 = 0 becouse: x² + 6 x i - 9 = 2 y i you can write as: x² + 6 x i - 9 = 0 + 2 y i So the real parts is: x² - 9 = 0

maths
( x + 3 i )² = x² + 2 ? x ? 3 i + ( 3 i )² = x² + 6 x i + ( 3)² ? ( i )² = x² + 6 x i + 9 ? ( - 1 ) = x² + 6 x i - 9 ( x + 3 i )² = 2 y i x² + 6 x i - 9 = 2 y i For the real parts: x² - 9 = 0 x² = ±? 9 x = &...

Maths
cos? ? / cos² ? + sin? ? / sin² ? = 1 ( cos? ? sin² ? + sin? ? cos² ? ) / ( sin² ? cos² ? ) = 1 Multiply both sides by sin² ? cos² ? ( cos? ? sin² ? + sin? ? cos² ? ) = sin² ? cos² ? cos? ? / cos² ? + sin? ? / ...

Math
a1 = side length of first cube a2 = side length of second cube V1 = volume of first cube V2 = volume of second cube a1 / a2 = 3 / 4 Multiply both sides by a2 a1 = 3 a2 / 4 = ( 3 / 4 ) a2 V1 / V2 = a1³ / a2³ = [ ( 3 / 4 ) a2 ]³ / a2³ = ( 27 / 64 ) a2³...

Math
a1 = side length of first square a2 = side length of second square A1 = area of first square A2 = Area of second square a1 / a2 = 2 / 3 Multiply both sides by a2 a1 = 2 a2 / 3 = ( 2 / 3 ) a2 A1 / A2 = a1² / a2² = [ ( 2 / 3 ) a2 ]² / a2² = ( 4 / 9 ) a2²...

math
1 gallon = 16 cups 2 3/4 = 2 + 3 / 4 = 2.75 2.75 ? 16 = 44 2 3/4 gallons = 44 Cups

math
One correction. A x³ + B x² + C x + D = A ( x - x? ) ( x - x? ) ( x - x? )

math
x³ - 3 x² -16 c + 48 = 0 For the cubic polynomial A x³ + B x² + C x + D = 0 Vieta's formulas: x? + x? + x? = - B / A x? ? x? + x? ? x? + x? ? x? = C / A x? ? x? ? x? = - D / A Where x?, x? and x? are the roots of this polynomial. In this cace: A = 1 , B...

math
The ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides. In this case P1 : P2 = 1 : 4 The ratio of the area of two similar triangles is proportional to square of the ratio of their corresponding sides. In this case A1 : A2...

math
Degrees: ? = tan -¹ ( 15 ) ? = 86.18592516571° ? ? 86.19° Radians: ? = tan -¹ ( 15 ) ? = 1.504228163 ? ? 1.50

Math
y = - ( 1 / 3 ) x² + 2 x + 4 = - ( 1 / 3 ) ( x² - 6 x - 12 ) = - ( 1 / 3 ) ( x² - 6 x + 9 - 21 ) = - ( 1 / 3 ) [ ( x - 3 )² - 21 ] = - ( 1 / 3 ) ? ( x - 3 )² - 21 ? ( - 1 / 3 ) = - ( 1 / 3 ) ? ( x - 3 )² + 7 Remark: ( x - 3 )² = x² - 2...

math
If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence an is given by: an = a1 + ( n - 1 ) d a2 = a1 + ( 2 - 1 ) d a2 = a1 + 1 ? d a2 = a1 + d - 2 = a1 + d Subtract d to both sides - 2 - d...

Math
Because the river is there, only 3 sides need to be fenced. A = x ( 100 - 2 x ) = 100 x - 2 x ^ 2 = 2 ( 50 x - x ^ 2 )

math PLZ HELP
12 n

Math
2 x² + 6 x - 7 x + 8 - 3 x² + 1 = 2 x² - 3 x² + 6 x - 7 x + 8 + 1 = - x² - x + 9

Math
x - 2 y = 8 Multiply both sides by 3 3 x - 6 y = 24 3 x - 5 y = 15 - 3 x - 6 y = 24 ______________ 3 x - 3 x - 5 y - ( - 6 y ) = 15 - 24 0 - 5 y + 6 y = - 9 y = - 9 x - 2 y = 8 x - 2 * ( - 9 ) = 8 x + 18 = 8 Subtract 18 to both sides x + 18 - 18 = 8 - 18 x = - 10 x = - 10 . y...

maths
I do not understand well your question, but: 784 = 2 ? 2 ? 2 ? 2 ? 7 ? 7 = 2?? 7² ?784 = ?(2?? 7²) = ?2?? ?7² = 2² ? 7 = 4 * 7 = 28 7056 = 2 ? 2 ? 2 ? 2 ? 3 ? 3 ?7 ? 7 = 2?? 3² ?7² ?7056 = ?(2?? 3² ? 7²) = ?2?? ?3² ? ?7² = 2&...

math-ed 16
a = Andy's present age m = Mom's present age d = Dad's present age m + d + a = 72 After x years: Mom will be m + x yrs old Dad will be d + x yrs old Andy will be a + x yrs old m + x + d + x + a + x = 90 m + d + a + 3 x = 90 We know: m + d + a = 72 So: 72 + 3 x = 90...

Pre-Calculus
tan ( 2 x ) = 2 ? tan x / ( 1 - tan² x ) tan x = sin x / cos x cos x = ± ? ( 1 - sin² x ) In quadrant III cosine is positive so: cos x = ? ( 1 - sin² x ) cos x = ? [ 1 - ( - 1 / 2 )² ] cos x = ? ( 1 - 1 / 4 ) cos x = ? ( 4 / 4 - 1 / 4 ) cos x = ? ( 3...

math
L = larger piece S = shorter piece L = 2 S - 2 L + S = 100 2 S - 2 + S = 100 3 S - 2 = 100 Add 2 to both sides 3 S - 2 + 2 = 100 + 2 3 S = 102 Divide both sides by 3 S = 102 / 3 = 34 ft L = 2 S - 2 L = 2 * 34 - 2 = 68 - 2 = 66 ft

Algebra
ERquation 1. L = 2 W 2 W = L Equation 2. 2 W + 2 L = 24 Substitution: 2 W = L L + 2 L = 24 3 L = 24 L = 24 / 3 = 8 in L = 2 W 8 = 2 W 8 / 2 = W W = 4 in

Math
You probably didn't typed your question correct. Try again. By the way: A = w * l l = A / w Then long division give the length.

Trigonometry
sec ? > 0 cot ? < 0 sec ? > 0 1 / cos ? > 0 If 1 / cos ? > 0 then also cos ? > 0 cot ? < 0 cos ? / sin ? < 0 If cos > 0 cot ? = cos ? / sin ? can be < 0 only if sin ? < 0 You must find quadrat where: cos ? > 0 and sin ? < 0 In Quadrant IV...

MATHS
If your measuring unit is a degree then: THE LARGER ANGLE IS 30 MORE THAN TWICE THE SMALLER. mean: ? = 2 ? + 30° TWO ANGLES ARE ADJACENT AND FORM AND ANGLE OF 150 mean: ? + ? = 150° Replace ? = 2 ? + 30° in this equation. ? + ? = 150° 2 ? + 30° + ? = 150&...

maths
Find the prime factorization of each integer. 12 = 2² ? 3 16 = 2? 24 = 2³ ? 3 36 = 2² ? 3² The least common multiple (LCM) is the smallest number which can be exactly divided by each of the given number. The LCM will be the product of multiplying the ...

math
220 - 3 = 217 313 - 3 = 310 716 - 3 = 713 Find the prime factorization of each integer. 217 = 7 ? 31 310 = 2 ? 5 ? 31 713 = 23 ? 31 The "Greatest Common Factor " is the largest of the common factors (of two or more numbers) In this case GCF = 31 Because 31 is the ...

Algebra 2
2 sin ? cos ? + ?3 cos ? = 0 cos ? ( 2 sin ? + ?3 ) = 0 Split into two equations: cos ? = 0 2 sin ? + ?3 = 0 1. cos ? = 0 In interval ? ? ? 2? cos ? = 0 for: ? = ? / 2 (90 °) and ? = 3? / 2 (270 °) 2. 2 sin ? + ?3 = 0 Subtract ?3 from both sides 2 sin ? + ?3 - ?3 = 0...

math
1st perfect square number between 200 and 1000 is 225 = 15 * 15. And last perfect square number is 961 = 31 * 31. So: ( 31 - 15 )+ 1 = 16 + 1 = 17 225 = 15 * 15 256 = 16 * 16 289 = 17 * 17 324 = 18 * 18 361 = 19 * 19 400 = 20 * 20 441 = 21 * 21 484 = 22 * 22 529 = 23 * 23 576...

Math
9 3/4 = 9 + 3/4 = 36/4 + 3/4 = 39/4 ( 39 / 4 ) / 6 = 39 / 4 * 6 = 39 / 24 = 3 * 13 / 3 * 8 = 13 / 8 = ( 8 + 5 ) / 8 = 8 / 8 + 5 / 8 = 1 + 5 / 8 = 1 5/8 9 3/4 / 6 = 13 / 8 = 1 5/8

maths
504347 / 317 = 1591

maths
a = first number b = second number b = a + 9 a + b = 25 a + a + 9 = 25 2 a + 9 = 25 Subtract 9 to both sides 2 a + 9 - 9 = 25 - 9 2 a = 16 Divide both sides by 2 a = 16 / 2 = 8 b = a + 9 = 8 + 9 = 17 First number = 8 Second number 17

math
My big typo!!! xn - yn = zn Now: n = 8 xn - yn = zn x8 - y8 = z8 ( 1 / 9 ) [ ( 100 ^ n ) - 1 ] - ( 2 / 9 ) (10 ^ n - 1) = 33,333,333 ^ 2 ( 1 / 9 ) [ ( 100 ^ 8 ) - 1 ] - ( 2 / 9 ) (10 ^ 8 - 1) = 33,333,333 ^ 2 ( 1 / 9 ) ( 10,000,000,000,000,000 - 1 ] - ( 2 / 9 ) ( 100,000,000...

math
Write your problem as: xn + yn = zn 11 , 1111 , 111111 x1 = 11 x1 = 99 / 9 x1 = ( 100 - 1 ) / 9 x1 = ( 100 ^ 1 - 1 ) / 9 x2 = 1111 x2 = 9999 / 9 x2 = ( 10000 - 1 ) / 9 x2 = ( 100 ^ 2 - 1 ) / 9 x3 = 111111 x2 = 999999 / 9 x2 = ( 1000000 - 1 ) / 9 x2 = ( 100 ^ 3 - 1 ) / 9 etc. ...

Maths
If your question mean: lim (3n²-5n+4) / (4n²+7n-1) n?? Then: Divide numerator and denominator by n² lim n?? (3 n²/n²- 5n/n²+4/n²)/(4n²/n²+7n/n²-1/n²)= lim n?? (3-5/n+4/n²) / (4+7/n-1/n²) = (Now Quotient Rule) lim...

Math
Your answer is correct. b = boys g = girls b + g = 12 + 18 = 30 Boys: b = 12 / 30 = 2 * 2 * 3 / 2 * 3 * 5 = 2 / 5

Math
1 / 2 divided by 6 = 1 / 12 1 / 12 is less than 1

algebra
x² - 8x + 15 = x² - 5x - 3 x + 15 = x ? x - 5 ? x - 3 ? x + 15 = x ? x - 5 ? x - 3 ? x - 3 ? ( - 5 ) = x ( x - 5 ) - 3 ( x - 5 ) = ( x - 5 ) ( x - 3 )

logs
Your answer is correct, but you also can write: log ( x ^ n ) = n ? log ( x ) 0.5 = 1 / 2 = 1 / 2 ^ 1 = 2 ^ ( - 1 ) log ( 0.5 ) = log [ 2 ^ ( - 1 ) ] = ( - 1 ) * log ( 2 ) = - log ( 2 ) log ( 0.91 ^ t ) = t ? log ( 0.91 ) 0.5 = 0.91 ^ t log ( 0.5 ) = log ( 0.91 ^ t ) - log ( 2...

Math, factoring
For x = 3 x ^ 4 + a x ^ 3 + a x ^ 2 + 11 x + b = 0 Put x = 3 in this equation: 3 ^ 4 + a * 3 ^ 3 + a * 3 ^ 2 + 11 * 3 + b = 0 81 + 27 a + 9 a + 33 + b = 0 36 a + b + 114 = 0 For x = - 2 x ^ 4 + a x ^ 3 + a x ^ 2 + 11 x + b = 0 Put x = - 2 in this equation: ( - 2 ) ^ 4 + a...

math
3 x² – 2 = 5 x 3 x² – 2 - 5 x = 0 3 x² - 5 x - 2 = 0 a x² + b x + c = 0 in this case: a = 3 , b = - 5 , c = - 2 D = b² - 4 ? a ? c D = ( - 5 )² - 4 ? 3 ? ( - 2 ) D = 25 + 4 ? 3 ? 2 D = 25 + 24 D = 49 If D > 0, the equation has 2 real ...

math
c / 5 + 1 = 9 Subtract 1 to both sides c / 5 + 1 - 1 = 9 - 1 c / 5 = 8 Multiply both sides by 5 c = 8 * 5 c = 40

MAths
My typo. 180° - x = 360° - 4 x Add 4 x to both sides 180° - x + 4 x = 360° - 4 x + 4 x

MAths
x = the angle Complement: 90° - x Supplement: 180° - x 180° - x = 4 ? ( 90° - x ) 180° - x = 4 ? 90° - 4 ? x 180° - x = 360° - 4 x Add 4 x to both sides 180° - x + 4 x = 360° - 4 x - 4 x 180° + 3 x = 360° Subtract 180° to ...

maths --plse help me..
a = the greater number b = the smaller number When the greater of the two numbers increased by 1 divides the sum of the numbers the result is 3 / 2 mean : ( a + 1 ) / ( a + b ) = 3 / 2 When the difference of these numbers is divide by the smaller ,the result is 1 / 2 mean: ( a...

Math
30 / 5 = 6 20 / 5 = 4 6 ? 4 = 24 24 squares can be cut from this paper.

math
23467 + 765446 + 98656 = 887569 887600 Rounded to the nearest hundred.

math
489967234 + 500101234 + 657999812 = 1648068280 To round numbers to the nearest ten thousand, make the numbers whose last four digits are 0001 through 4999 into the next lower number that ends in 0000. For example 54424 rounded to the nearest ten thousand would be 50000. ...

Math
The n-th term of a geometric sequence with initial value a1 and common ratio r is given by: an = a1 ? r ^ ( n - 1 ) a5 = a1 ? r ^ ( 5 - 1 ) a5 = a1 ? r ^ 4 a5 = 8 ? ( - 5 ) ^ 4 a5 = 8 ? 625 a5 = 5000

algebra plz help!!
t ^ 4 - 5 q t ^ 2 - 24 q ^ 2 = t ^ 4 - 8 q t ^ 2 + 3 q t ^ 2 - 24 q ^ 2 = t ^ 4 - 8 q t ^ 2 + 3 q t ^ 2 - 24 q ^ 2 = ( - 24 q ^ 2 + 3 q t ^ 2 ) + ( - 8 q t ^ 2 + t ^ 2 * t ^ 2 ) = 3 q ? ( - 8 q + t ^ 2 ) + t ^ 2 ? ( - 8 q + t ^ 2 ) = ( - 8 q + t ^ 2 ) ? 3 q + ( - 8 q + t ^ 2...

math
1 week = 7 days 1 week = 7 days ? 24 h = 168 h 1 m³ = 1000 ? 1 ? = 1 / 1000 m³ = 0.001 m³ 10 ? = 10 / 1000 m³ = 0.01 m³ 168 ? 10 ? = 1680 ? The amount of water lost in one week = 1680 ? 1680 ? = 1680 / 1000 =1.68 m³ V = volume of water lost = 1.68...

algebra expression (math)
x = original number x + 5 = 6 * x x + 5 = 6 x Subtract x to both sides x + 5 - x = 6 x - x 5 = 5 x Divide both sides by 5 1 = x x = 1

Math
OR 3 / 4 = 0.75 18 / 0.75 = 24

Math
x = mumbers of games ( 3 / 4 ) x = 18 3 x / 4 = 18 3 x = 4 * 18 = 72 x = 72 / 3 = 24

maths
tan x = sin x / cos x sec x - tan x / sin x = 1 / cos x - ( sin x / cos x ) / sin x = 1 / cos x - sin x / cos x * sin x = 1 / cos x - 1 / cos x = 0 sec x - tan x / sin x is always zero, regardless value of cos x

Math
cos² x = 1 - sin² x cos x = ± ? ( 1 - sin² x ) sec x = 1 / cos x sec x = 1 / ± ? ( 1 - sin² x ) 4 / 3 = 1 / ± ? ( 1 - sin² x ) Take reciprocal value of both sides 3 / 4 = ± ? ( 1 - sin² x ) Raise both sides to on the ...

Algebra
The first 40 hours are paid at \$18/hour. For any amount of time over that, the rate is 18 * 1.5 = \$27 So: P(t) = 18 * 40 + 27 * ( t - 40 ) = 720 + 27 t - 27 * 40 = 720 + 27 t - 1080 = 27 t - 360

Math
You're welcome.

Math
The geometric mean is the nth root of the product of n numbers. a7 = ? ( 75 * 48 ) a7 = ?3600 = 60

Math
72, 12 , 2.. geometric sequence. first term a = 72 common ratio r = 1 / 6 ? 0 to infinity = a / ( 1 - r ) = 72 / ( 1 - 1 / 6 ) = 72 / ( 6 / 6 - 1 / 6 ) = 72 / ( 5 / 6 ) = 72 * 6 / 5 = 432 / 5 = 86.4

Math
21, 15, 9, 3, . . . 15 - 21 = - 6 9 - 15 = - 6 3 - 9 = - 6 This is an arithmetic sequences. First term a1 = 21 Common difference: d = - 6 nth term of the arithmetic sequence: an = a1 + ( n - 1 ) ? d In this case n = 29 a29 = 21 + ( 29 - 1 ) ? ( - 6 ) a29 = 21 + 28 ? ( - 6 ) ...

Geometry
The standard form equation of a circle: ( x - a ) ^ 2 + ( y - b ) ^ 2 = r ^ 2 a and b are the x and y coordinates of the center of the circle. r = the radius of the circle. In this case: a = - 4 , b = - 3 [ x - ( - 4 ) ] ^ 2 + [ y - ( - 3 ) ] ^ 2 = r ^ 2 ( x + 4 ) ^ 2 + ( y + ...

Math
g = grandfathers age d = granddaughter age You have two conditions for a grandfather: g = 10 d g = d + 54 Now: g = g 10 d = d + 54 Subtract d to both sides 10 d - d = d + 54 - d 9 d = 54 Divide both sides by 9 d = 54 / 9 = 6 yrs g = 10 d = 10 * 6 = 60 yrs OR g = d + 54 g = 6...

Maths
1 / x

math
If delta SIN=12/13 mean: sin ? = 12 / 13 Then: cos ? = ± ? ( 1 - sin² ? ) cos ? = ± ? [ 1 - ( 12 / 13 )² ] cos ? = ± ? [ 1 - ( 144 / 169 ) ] cos ? = ± ? ( 169 / 169 - 144 / 169 ) cos ? = ± ? ( 25 / 169 ) cos ? = ± 5 / 13 tan...

Pre-calculus
If your expressiom mean: y = 2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 50000 then: 2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 5 * 10 ^ 4 Divide both sides by 2 * 10 ^ ( - 44 ) e ^ ( 0.055 x ) = 5 * 10 ^ 4 / 2 * 10 ^ ( - 44 ) e ^ ( 0.055 x ) = ( 5 / 2 ) * 10 ^ 4 / 10 ^ ( - 44 ) e ^ ( 0....

Math
An irrational number is a real number that cannot be written as a simple fraction. ?150 = ? ( 25 * 6 ) = ?25 * ?6 = 5 ?6 ?6 cannot be written as a simple fraction so ?150 = 5 ?6 is an irrational number ?441 = ? (21^2 ) = 21 ?200 = ? (100 * 2 ) = ?100 ?2 = 10 ?2 ?2 cannot be ...

math
m + 2 n = 3 Subtract 2 n to both sides m + 2 n - 2 n = 3 - 2 n m = 3 - 2 n Put this value in equation 2 m + n = 0 2 ( 3 - 2 n ) + n = 0 2 * 3 - 2 * 2 n + n = 0 6 - 4 n + n = 0 6 - 3 n = 0 Add 3 n to both sides 6 - 3 n + 3 n = 0 + 3 n 6 = 3 n Divide both sides by 3 6 / 3 = 3 n...

geometry
r = d / 2 r = 4.6 / 2 r = 2.3 m r ^ 2 = 2.3 ^ 2 r ^ 2 = 5.29 A(210°) = 7 * r ^ 2 ? ? / 12 A(210°) = 7 * 5.29 ? ? / 12 A(210°) = 37.03 ? ? / 12

geometry
If your quesions refers to circle then: Area of a circle: A = r ^ 2 * ? 210 ° / 360 ° = 2 * 3 * 5 * 7 / 2 ^ 3 * 3 ^ 2 * 5 = 7 / 2 ^ 2 * 3 = 7 / 4 * 3 = 7 / 12 A(210°) = r ^ 2 ? ? * 7 / 12 A(210°) = 7 * r ^ 2 ? ? / 12

Algebra2
Your answer is correct. cos ? - tan ? * cos ? = 0 cos ? - sin ?/cos ? * cos ? = 0 cos ? - sin ? = 0 cos ? = sin ? sin ? = cos ? In interval: 0 < ? < 2 ? sin ? = cos ? for ? = ? / 4 and ? = 5 ? / 4 By the way this is trigonometry, not algebra.

Maths
If he saved 1 / 4 of money, he has: 1 - 1 / 4 = 4 / 4 - 1 / 4 = 3 / 4 of a sum of money. a) 4 / 9 of 3 / 4 = ( 4 / 9 ) * ( 3 / 4 ) = 4 * 3 / 9 * 4 = 12 / 36 = 12 / 12 * 3 = 1 / 3 He spend 1 / 3 money on suitcase. b) 3 / 4 - 1 / 3 = 3 * 3 / 4 * 3 - 4 * 1 / 4 * 3 = 9 / 12 - 4 / ...

Algebra
L = W + 5 H = W + 2 V = L * W * H V = ( W + 5 ) * W * ( W + 2 ) V = ( W + 5 ) * ( W + 2 ) * W V = ( W * W + 5 * W + 2 * W + 2 * 5 ) V = ( W ^ 2 + 5 W + 2 W + 10 ) * W V = ( W ^ 2 + 7 W + 10 ) * W V = W ^ 2 * W + 7 W * W + 10 * W V = W ^ 3 + 7 W ^ 2 + 10 W

Math
2 2/4 = 2 1/2 = 2.5 1/4 =0.25 2.5 / 0.25 = 10

Math
Correction. Sorry my mistake. 2 l + 10 l = 12 l 2 l / 12 l = 2 / 2 * 6 = 1 / 6

Math
1 l + 10 l = 11 l 1 l / 11 l = 1 / 11

math
LCM = 468 Becouse: The prime factorisation of 9 is: 3 * 3 = 3 ^ 2 The prime factorisation of 18 is: 2 * 9 = 2 * 3 ^ 2 The prime factorisation of 52 is: 4 * 13 = 2 ^ 2 * 13 2 : two occurrences 3 : two occurrences 13 : one occurrence LCM = 2 * 2 * 3 * 3 * 13 = 468 GCF = 1 ...

Algebra
ln [ nth root ( x ) ] = ln ( x ) / n ln ?4 = ln ( 4 ) / 2 OR ln [ x ^ n )= n * ln ( x ) ?4 = 4 ^ ( 1 / 2 ) ln [ 4 ^ ( 1 / 2 ) ] = ( 1 / 2 ) * ln ( 4 ) = ln ( 4 ) / 2

Math
In google type: inverse matrix calculator When you see results click on: Inverse Matrix Calculator - Matrix Reshish Set your matrix and click option Calculate then click option: Show solution You will see solution step-by step

math
L = W + 4 P = 2 W + 2 L = 2 ( W + L ) = 48 2 ( W + W + 4 ) = 48 2 ( 2 W + 4 ) = 48 Divide both sides by 2 2 W + 4 = 24 Subtract 4 to both sides 2 W + 4 - 4 = 24 - 4 2 W = 20 Divide both sides by 2 W = 10 in L = W + 4 = 10 + 4 = 14 in A = L * W = 10 * 14 = 140 in ^ 2

Math
- 21.2 - ( - 7.4 ) = - 21.2 + 7.4 = - 13.8 - 35 - ( - 21.2 ) = - 35 + 21.2 = - 13.8 - 48.8 - ( - 35 ) = - 48.8 + 35 = - 13.8 - 62.6 - ( - 48.8 ) = - 62.6 + 48 = - 13.8 an = a(n-1)- 13.8

Math
What is dg?

math
a = first number b = second number You have conditions: a + b = 31 and a - b = 7 Add the two equations together to eliminate b from the system. a + b = 31 + a - b = 7 ________ a + a + b + ( - b ) = 31 + 7 2 a + b - b = 38 2 a + 0 = 38 2 a = 38 Divide both sides by 2 a = 38 / 2...

math trignometry
You also can write this in simplified form: sin ( x / 2 ) = ? [ ( 4 + ?15 ) / 4 * 2 ] sin ( x / 2 ) = ? ( 4 + ?15 ) / ? ( 4 * 2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / ( ?4 * ?2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / ( 2 * ?2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / 2 ?2 cos ( x / 2 ) = ? [ ( 4...

math trignometry
sin x = 1 / 4 cos x = ± ? ( 1 - sin ^ 2 x ) In II quadrant cosine is negative so: cos x = - ? ( 1 - sin ^ 2 x ) cos x = - ? [ 1 - (1 / 4 ) ^ 2 ] cos x = - ? [ 1 - (1 / 16 ) ] cos x = - ? [ 16 / 16 - (1 / 16 ) ] cos x = - ? [ ( 16 - 1 ) / 16 ) ] cos x = - ? ( 15 / 16 ) ...

college algebra
If The middle number is 2 3 the largest. mean: The middle number is 2 / 3 the largest. then: a = smalest number b = middle number c = largest number a = c / 2 b = ( 2 / 3 ) c a + b + c = 104 c / 2 + ( 2 / 3 ) c + c = 104 3 c / 6 + 4 c / 6 + 6 c / 6 = 104 13 c / 6 = 104 ...

math
a1 is the initial term of an arithmetic progression. The common difference of successive members is d. The nth term of an arithmetic progression. an = a1 + ( n - 1 ) d In this case: n = 6 a6 = a1 + ( 6 - 1 ) d = 37 a1 + 5 d = 37 The sum of the n terms of an arithmetic is: Sn...

Calculus
If your expression mean: x - 12 * ?( x + 1 ) - 12 then: x - 12 * ?( x + 1 ) - 12 = x - 12 * ( x + 1 ) ^ ( 1 / 3 ) - 12 If h' (x) = 0 h (x) has a local extrema ( maximum or minimum ) In this case: h' (x) = 1 - 12 * ( 1 / 3 ) ( x + 1 ) ^ ( 1 / 3 - 1 ) = 1 - 12 / 3 ( x + ...

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16. 15
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