Tom bought 20 boxes of flowers. Each box cost him £6. Each box contains 15 flowers. 3/5 He sells of the total number of flowers for 70p each. He then sells the remaining at 50p each. Work out the total profit Tom makes.

Answers

Answer 1

330

20 * 6 equals 120 that is the cost price

and 3/5 of the 15 flowers is 9 which was sold for 7

and the remaining that is 15 - 9 that's 6 sold for 50 each

now times it by 70 * 9 equals 630 50 * 6 equals 300 so 630 - 300 equals to 330 that is the profit

I hope this helps

Answer 2

Answer:

66

Step-by-step explanation:

The money he spent:

20 x 6 = 120

=> The number of flowers he bought:

=> 15 x 20 = 300

3/5 of 300 = 900/5 = 180

So, he sold 180 flowers for 70cents.

=> 180 x 70 = 12600 cents

=> 126  dollars

The remaining for 50 cents

=> 2/5 x 300 = 600 / 5 = 120

So, he sold 120 flowers for 50 cents

=> 120 x 50 = 6000 cents

=> 60 dollars

He got a total of 60 + 126 = 186 dollars.

He spent 120 dollars in the starting to buy the flowers.

=> 186 - 120

=> 66 dollars

So, he gets a profit of 66 dollars.


Related Questions

Missing Portion on Spinner:

So theres a circle,

2/3 is covered,

1/6 is covered,

and 1/9 is covered

what fraction is the portion that isn't covered

Answers

Answer:  1/18

============================================

Explanation:

The fractions 2/3, 1/6 and 1/9 have the denominators 3, 6 and 9. The LCM is 18, so the LCD of the fractions is 18.

2/3 = 12/18 after multiplying top and bottom by 6

1/6 = 3/18 after multiplying top and bottom by 3

1/9 = 2/18 after multiplying top and bottom by 2

--------

The three original fractions 2/3, 1/6, and 1/9 are equivalent to 12/18, 3/18, and 2/18 in that exact order.

With the fractions all having the same denominator, we can add the numerators to place over the common denominator

12/18 + 3/18 + 2/18 = (12+3+2)/18 = 17/18

--------

After combining all of the shaded areas, we have 17/18 of the circle shaded in with 1/18 of the circle not shaded in.

You subtract 17/18 from 1 to get 1/18

1 - (17/18) = 18/18 - 17/18 = (18-17)/18 = 1/18

You could think of it like having 18 slices of cake total, and 17 are eaten by guests, so 18-17 = 1 is left over out of the 18 overall. So 1/18 of the cake hasn't been eaten.

The required fraction is 1/18, that is not covered.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

In the given spinner,

2/3 part is covered,

1/6 part is covered,

and 1/9 part is covered.

To determine the fraction of the portion that is not covered,

Let the not covered portion is x.

Since, Total value of circle = 1

2/3 + 1/6 + 1/9 + x = 1

(4 + 1)/6 + 1/9 + x = 1

5 / 6 + 1/9 + x = 1

(15 + 2) / 18 + x = 1

17/18 + x = 1

x = 1 - 17 / 18

x = 1 / 18

The portion of the circle that is not covered is 1/18.

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Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x

Answers

Answer:

f(x) is quadratic. g(x) and h(x) are linear.

Step-by-step explanation:

So we have the three functions:

[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.

the first should be quadratic
the second one should be exponential
and the third should be linear

I NEED THE ANSWER ASAP

The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.31 days. At what rate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of a smoker per year

Answers

Answer:

57.8

Step-by-step explanation:

We can set up a proportion for this, assuming x is the smokers lost in 365 days.

[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]

Using the cross products property, we know that x will be equal to:

[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]

Hope this helped!

57.8 is the answer to this problem

What property is used in the second step of solving the inequality below?

5 x minus 9 less-than 91
______Given_______
5 x less-than 100
__________________
x less-than 20
Multiplication Property
Identity Property
Addition Property
Multiplication Property
Transitive Property

Answers

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

5x - 9 < 91

The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

Thus,

5x - 9 + 9 < 91 + 9

5x < 100

The final step is to perform the division property by dividing both sides by 5, in order to solve for x.

5x/5 < 100/5

x < 20.

Addition property
Hope
This helps

What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?

Answers

A complex number. For the complex number a+bi, A is called the real part, and B is called the imaginary part
Me just needed points, srry

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. GA ∩ TN = I ∆GIT ≅ ∆_____ by _____

Answers

Answer:

The correct answer is;

ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Step-by-step explanation:

The given information are;

The point of intersection of GA ∩ TN = I

Segment TI is congruent to segment NI (Given)

Segment GI is congruent to segment IA (Given)

Angle ∠GIT is congruent to angle ∠AIN (Vertically opposite angles)

Therefore, we have;

Triangle, ΔGIT is congruent to triangle ΔNIA (Side Angle Side (SAS) rule of congruency)

Two triangles are said to be congruent by the Side Angle Side (SAS) rule of congruency,  when two of the sides and the included angle (the angle in between the two sides) of one of the triangle are equal to two sides and the included angle of the other triangle.

Therefore, the correct answer is ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Answer:

△GIT≅△AIN

By Rule: SAS

The formula for the area of a circle is A= ar?m where A is the area and r is the radius. The subject of
the formula is A. Rearrange the formula to make r the subject.

Answers

Hi there! :)

Answer:

[tex]\sqrt{\frac{A}{\pi } } = r[/tex]

Step-by-step explanation:

Formula for the area of a circle:

[tex]A = \pi r^{2}[/tex]

Rearrange the equation in terms of "r":

Divide 'π' from both sides:

[tex]\frac{A}{\pi } = r^{2}[/tex]

Take the square root of both sides:

[tex]\sqrt{\frac{A}{\pi } } = r[/tex]

Answer:

[tex]r = \sqrt{ \frac{A}{ \pi}}[/tex]

Step-by-step explanation:

[tex]A =\pi r^2 \\Divide\: both \:sides\:of\:the\:equation \\\frac{A}{ \pi} =\frac{ \pi r^2}{ \pi} \\r^2 = \frac{A}{ \pi} \\\sqrt{r^2} =\sqrt{ \frac{A}{ \pi}} \\\\r = \sqrt{ \frac{A}{ \pi}}[/tex]

PLEASE HELP ASAP I WILL REWARD BRAINLIEST one unit up, one unit down, one unit left, one unit right,

Answers

Answer:

y=x+2

Step-by-step explanation:

Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2

Answer:

see below

Step-by-step explanation:

will make it simple.

1 unit up : y = |x+2| + 1

1 unit down : y = |x+2| - 1

1 unit to the left : y = |x + 3|

1 unit to the right : y = |x+1|

hope it helps.  if its wrong, then please report it wo we can delete of correct it.

An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms?

Answers

Answer:

The net charge on the four atoms is 12

Step-by-step explanation:

The given parameters are;

The charge of each electron = -1

The charge of each proton = + 1

The charge of each neutron = neutral

Therefore, if 3 electrons are removed  from each of the three atoms, we have;

The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12

Given that the at the four atoms add equal  number of protons and electrons, we have;

Original charge on the four atoms = n×(-1) +  n×(+1) = 0

Therefore;

The net charge on the four atoms after removal of the 12 electrons  = Original charge - (-12)

The net charge on the four atoms = 0 - (-12) = +12

The net charge on the four atoms = +12.

The net change of the 4 atoms are 12

PLEASE HELP ME!! I WILL GIVE BRAINLIEST!!

Find the output, y, when the input, x, is -5.

Answers

Answer:

[tex]\boxed{y = -2}[/tex]

Step-by-step explanation:

Hey there!

To find y when x is -5 we go to -5 on the x-axis.

When at -5 find where the blue line is vertical to -5,

which is -2.

Hope this helps :)

The Answer is:

y = - 2

Find the slope of each line. Then tell what the slope represents.

Answers

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

    => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

   => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Find the distance between (4.9) and (5, 12)

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]

[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]

The answer is the last one.

i need this quick!!! please hurry!! Solve the following proportion for X. X over 5 = 17 over 3 Round your answer to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{x = 28.3}[/tex]

Step-by-step explanation:

=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]

Cross Multiplying

=> x * 3 = 5 * 17

=> 3x = 85

Dividing both sides by 3

=> x = 85/3

=> x = 28.3 (To nearest tenth)

Answer:

[tex]\Huge \boxed{x=28.3}[/tex]

Step-by-step explanation:

The proportion is given,

[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]

We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.

Multiply both sides of the equation by 5.

[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]

Simplify the equation.

[tex]\displaystyle x=\frac{85}{3}[/tex]

[tex]x=28.33333333...[/tex]

The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).

Translate the following into an algebraic expression: a The number that is 40% more than five more than a number a.

Answers

Answer:

x = a + 8

Step-by-step explanation:

x = The number that is 40% more than five more than a number a.

x = 40% more than 5 (plus a)

5 * 0.6 = 3

5+3 = 8

x = a + 8

The answer is x=8+9.

Please Answer For Brainliest!!!


Answers

Answer:

C

Step-by-step explanation:

They want to find out altogether and the total number so add it up!

Answer: 72,132,204

Step-by-step explanation:

a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow

Answers

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer :

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.

Answers

Answer:

Since it's a 30-60-90 triangle, the hypotenuse should be  

6 √ 3

and the short leg is  

3 √ 3

Step-by-step explanation:

Ratio:

Short side:  1  

Hypotenuse:  2

Long Side:  √ 3

short side is one hope ihelped

9.
The Sir Walter Scott Mental Health Center has a budget of $20.000 for recruiting costs
the position of Facility Director. The Center has spent $5,300 on advertising expenses and
$3,500 on interviewing expenses. They are willing to pay 5.5% commission on selling the
selected individual's home. What is the maximum selling price that the Sir Walter Scott
Mental Health Center would pay 5.5% commission on in order to stay at or below the
$20,000 in total recruiting costs?

Answers

Answer:

Hey there!

5300+3500=8800

20000-8800=11200

1.055x=11200

x can be at most 10616 dollars.

Hope this helps :)

At most, it can be 10068

i need the answer plz

Answers

Answer:

Step-by-step explanation:

The second answer choice correctly shows the result of multiplying functions m and n together.

It’s the second choice

Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1 four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?

Answers

Answer:

[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]

Step-by-step explanation:

Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]

Yan has finished = [tex]\frac{3}{5} * 45[/tex]

=> 3 * 9

=> 27 problems

Yan has problem left:

=> 45 - 27

=> 18 problems

1 problem = [tex]1 \frac{4}{5}[/tex] of a minute

1 problem = 1.2 minutes

18 problems = 1.2 * 18

18 problems = 21.6 minutes

18 problems ≈ 22 minutes

Answer:

[tex]\boxed{\sf 32 \ minutes}[/tex]

Step-by-step explanation:

Yan finished 3/5 of 45 math problems.

[tex]\frac{3}{5} \times 45=27[/tex]

Yan finished 27 math problems.

[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]

Yan has [tex]45-27=18[/tex] problems left.

1 problem = 1.8 minutes

18 problems = [tex]1.8* 18=32.4[/tex] minutes

32.4 minutes to nearest minute will be 32 minutes.

Solve for v. 3v + 5v = 72 please simplify as much as possible! v = _ ?

Answers

Answer:

v is 9

Step-by-step explanation:

it is 9 because if you simplify it is 8v=72 or 9

Answer:

v = 9

Step-by-step explanation:

3v + 5v = 72

combine like terms

8v = 72

Divide by 8

8v/8 = 72/8

v =9

can somewon plz help me

Answers

Answer:

1253 in^3

Step-by-step explanation:

The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.

The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3

The total volume is the sum of these two volumes:  1253 in^3

Answer:

1253 in^3

Step-by-step explanation:

Volume of small one is 7*5*5 = 175

Volume of the large one is 11*14*7 = 1078

To find the total volume we add them up. We get 1253 and since we are talking about volume it is 1253 inches cubed

if
[tex] \sqrt{5} x = \sqrt{3} x + \sqrt{7} [/tex]
find the value of x in the form
[tex] \sqrt{ \frac{a}{b} } [/tex]

Answers

Answer:

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

Step-by-step explanation:

From the way it is written, the [tex]x[/tex] is outside the square root. I will rewrite it as:

[tex]x\sqrt{5} =x\sqrt{3} +\sqrt{7}[/tex]

[tex]x\sqrt{5}-x\sqrt{3}=\sqrt{7}[/tex]

[tex]x(\sqrt{5} - \sqrt{3} )=\sqrt{7}[/tex]

[tex]$x= \frac{\sqrt{7} }{\sqrt{5} - \sqrt{3}} \implies \frac{\sqrt{7}(\sqrt{5} + \sqrt{3}) }{2} $[/tex]

[tex]$x=\frac{1}{2} \sqrt{7} (\sqrt{5} + \sqrt{3} )$[/tex]

[tex]$x=\frac{\sqrt{35}}{2} +\frac{ \sqrt{21}}{2} $[/tex]

[tex]$x=\frac{\sqrt{35}+\sqrt{21}}{2} $[/tex]

Multiply denominator and numerator by 3

[tex]$x=\frac{3\sqrt{35}+3 \sqrt{21}}{6} $[/tex]

Factor [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} (\sqrt{105}+3 \sqrt{7})[/tex]

[tex]$x=\frac{\sqrt{3} (\sqrt{105}+3 \sqrt{7})}{6} $[/tex]

Divide denominator and numerator by [tex]\sqrt{3}[/tex]

[tex]$x=\frac{\sqrt{105}+3 \sqrt{7}}{2\sqrt{3} } $[/tex]

Let's rewrite it again

[tex]$x=\frac{\sqrt{ (\sqrt{105}+3 \sqrt{7})^2}}{\sqrt{12} } $[/tex]

[tex]$x=\sqrt{ \frac{1}{12} \cdot (\sqrt{105}+3 \sqrt{7})^2}$[/tex]

It is already in the form [tex]$\sqrt{\frac{a}{b} } $[/tex]

Expanding the perfect square, we have

[tex]63+42\sqrt{15}+105[/tex]

[tex]$\frac{63}{12} +\frac{42\sqrt{15}}{12} +\frac{105}{12} $[/tex]

[tex]$\frac{21}{4} +\frac{7\sqrt{15}}{2} +\frac{35}{4} $[/tex]

Factor [tex]$\frac{7}{2} $[/tex]

[tex]$\frac{7}{2} (4+\sqrt{15} )$[/tex]

Therefore,

[tex]$x=\sqrt{\frac{7}{2} \left(4+\sqrt{15} \right)} $[/tex]

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

x= 7/4 x 25/6 is the answer

Graph the rational function
f (x)=- 3x + 1
-x+2

Answers

Answer:

Step-by-step explanation:

You must show that this is a rational function.  As written, it is not such.

         -3x + 1

f(x) = ------------

           -x + 2

is a rational function; the horizontal line --------- indicates division.

If we let x grow large, the graph approaches the horizontal line y = 3, which we call "the horizontal asymptote."  There is a vertical asymptote at x = 2, which we know because the denominator will be zero at that x value.  The vertical intercept is

f(0) = 1/2, or (0, 1/2).

As x decreases towards negative infinity, the graph approaches the horizontal line (horizontal asymptote) y = 3.

y=3 seems the best out of this

what number would you subtract from each side of inquality to solve y+3/8>16​

Answers

Answer: I would subtract 3/8 from both sides

Explanation:

y + 3/8 > 16
y > 16 - 3/8 (subtract 3/8 from both side)
y > 128/8 - 3/8
y > 125/8

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?

Answers

Answer:

errror

Step-by-step explanation:

Error good luck buddy

Please show ALL work!!!!

Answers

Answer:

[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]

Step-by-step explanation:

[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]

We have logarithms in base 2 and 9. Let's rewrite it:

[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]

Remember that:

[tex]\boxed{p\log _bc=\log _b c^p}[/tex]

[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]

Remember the Product Rule:

[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]

[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]

Finally, remember the Quotient Rule:

[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]

[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]

Answer


I only know how to get the answer but not explain

During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during the
next 25-year period, it increased by only 1%. Which of these conditions must have existed during the
second 25-year period?
A. Conflation
B. Deflation
C. Inflation
D. Stagnation​

Answers

I think the answer to this is D or stagnation

For the next 25-year period,(CPI) is increased by only 1% due to Inflation and Stagnation.

What is Stagnation ?

Stagnation is a situation of slow economic growth and relatively high unemployment (which basically means that aggregate production is reducing and some of the inputs of the economy, such capital or labor, are unemployed) , accompanied by rising prices, or inflation.

In terms of national accounting, it means a reduction in gross domestic product (GDP), with inflation (rise in all prices in the economy).

In terms of aggregate demand and supply models, stagnation is the result of a contraction of aggregate supply, which ceteris paribus, results in lower levels of production and higher prices.

Many theories have tried to explain this phenomena. Common interpretations link stagnation with and increase of the cost of production in the economy (that might be generated by an increase of gasoline for example), and its implications in the production (lower production because of higher costs), consequently unemployment and a rise of prices due to the increase of cost.

Here, During a certain 25-year period, the consumer price index (CPI) increased by 99% and during the next 25-year period, it increased by only 1% which shows slow economic growth which can be due to Inflation and Stagnation.

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How is 200,000 + 7,000 +500 + 3 written in standard form?

Answers

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

━━━━━━━☆☆━━━━━━━

▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Please someone help me...​

Answers

use [tex] a^2-b^2=(a+b)(a-b)[/tex]

to get [tex] (\cos^3A-\sin^3A)(\cos^3A+\sin^3A)[/tex]

then use [tex] a^3+b^3=(a+b)(a^2+b^2-ab)[/tex]

and [tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]

also, [tex] \sin^2\theta+\cos^2\theta=1[/tex]

to get [tex](\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)[/tex]

then again use the first identity In both pairs, i.e.

[tex](\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)[/tex]

to get [tex] \cos 2A (1-\sin^2A\cos^2A)[/tex]

multiply and divide by 4 to get the RHS.

because, [tex] \sin(2A)= 2\sin A \cos A[/tex]

squaring both sides, [tex] \sin^2 (2A)=4\sin^2A\cos^2A[/tex]

Answer:

they take the same form

Step-by-step explanation:

factor (1 - 1/4 sin ^2 (2A) )  (cos ^ 2 (A) -sin ^2(A))

= ( -sin 2A/ 2)  + 1 ) (sin (2A)/ 2) -1

= - (-1 + )  (sin 2A/2)  (1 +) (sin 2A/2) ( cos (A) + sin (A) (cos (A)- sin (A))

= (sin (2A) +sin 2) (sin (2A) -2)/4 = cos ^2(A) = (sin ^2(A)+cos (A) sin (A)) cos ^2(A) +s)

Other Questions
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