greatest common factor of 5, 6 and 15

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

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Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

Explanation:

*Based on what i know / understand*

Well one thing is that it is not E (the last choice because the mean is not the same as the median, they are different, the mean is 10.4 while the median is 13.4

And it can not be C or D because the mean is less than the median. So it is rather A or B.

But I think it is B.

Sorry if its wrong ;-;

Answer:

y=2x-6

Step-by-step explanation:

The intercept is -6 so -6 and you take two points on the line e. g. (3,0) and (2,-2) You would do -2-0 to get -2 and 2-3 to get -1. -2 divided by -1 equals 2. The slope is two.

Answer:

a regular pentagon has 72 degrees

Step-by-step explanation:

Answer:

If you were to create a scatterplot using sample ages such as : (30,32),(33,35),(47,49), etc. You will begin to see a perfect linear relationship, which would mean the correct correlation is 1.

(hope it helps! <3)

Answer:

B is the answer

Step-by-step explanation:

Answer:

96 is the number. x = 9

Step-by-step explanation:

x = 9, so y = 15–9 = 6, and so the answer is 96

brainliest?

It looks like an equilateral triangle (equal sided) so y=1

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: 1.

Step-by-step explanation:

The triangle in the picture is an equilateral triangle, meaning that all the sides are equal. Since we know that one of the sides is equal to one according to the picture, we know that the answer is 1.

Question 8 measurements. Angle H (acute) Angle M (obtuse) Angle K (acute)

Question 9 measurements. Angle P (right) Angle Q (obtuse) Angle R (acute) Angle S (obtuse) Angle T (right)

Any angle that is visibly smaller than 90° in shape is an acute angle.

Any angle that has a square denoted inside the angle means that it is a 90° angle, therefore implying that it is a right angle.

Any angle that is visibly bigger than 90° in shape is an obtuse angle.

Note that in the Q.8, the total summation of the interior angles for a triangle is  180°. In this case, ∠H & ∠K can be safely assumed to be smaller than right angles, which means that ∠M would be either a right angle or obtuse. However, it is not given that ∠M is a right angle, and so the answer is obtuse.

a. Angle H: acute angle

b. Angle M: obtuse angle

c. Angle K: acute angle

It is given that angles P & T are right angles (as denoted by the squares). Therefore, angle Q & S are obtuse, and angle R is acute, based on visible differences:

a. angle P: Right angle.

b. angle Q: Obtuse angle.

c. angle R: Acute angle.

d. angle S: Obtuse angle.

e. angle T: Right angle.

Usually you will not be using visibility to solve the angle measurements, but in this case, it is not stated that shapes are not drawn to scale. Therefore, you can safely assume based on what the angles look like to answer.

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} [/tex]

Semoga membantu

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} [/tex]

Answer:The area of the field is 57600 square feet.

Step-by-step explanation:

Answer:

57600 square feet.

Step-by-step explanation:

360 x 160 = 57600.

Please find attached photograph for your answer.

Hope it helps

ray4918 here to help.

Answer:

10

Step-by-step explanation:

Given is an isosceles triangle and so:

3x + 20 = 5x export like terms to the same side of the equation

20 = 5x - 3x

20 = 2x divide both sides by 2

10 = x

Answer:

i dont know if i did this right buut

Step-by-step explanation:

set up an equation:

2(x+20) = 5x - 2

Simplify:

2x +40 = 5x - 2

Add 2 to both sides:

2x + 42 = 5x

Subtract 2x from both sides:

42 = 3x

Divide both sides by 3:

x = 42/3 = 14

The number is 14

Answer:

The answer is 14

Step-by-step explanation:

Answer:

10kg//

Step-by-step explanation:

density=5g/cm

volume=2cm

mass=?

we know,

density=m/v

d×v=m

m=5×2

hence,10kg//

Answer:

 10g/cm

Step-by-step explanation:

If  [tex]Distance= \frac{Mass}{Volume}[/tex]

Then

Mass = Density x Volume

Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,

Step-by-step explanation: SOrry if im wrong

Answer: A, C, D

Step-by-step explanation:

Answer:

x ≈ - 0.14

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides

24x + 30 = 3x + 24 + 3 , simplify

24x + 30 = 3x + 27 ( subtract 3x from both sides )

21x + 30 = 27 ( subtract 30 from both sides )

21x = - 3 ( divide both sides by 21 )

x = [tex]\frac{-3}{21}[/tex] = - [tex]\frac{1}{7}[/tex] ≈ - 0.14 ( to the nearest hundredth )

Answer:

$16.25

65% = 0.65

0.65 x $25 = $16.25

Hope this helps! (And I think thats what the question was)

Answer:21600

Step-by-step explanation:

Multiply 60 by 2, then by 3. Add 120 and 180 to get 21600.

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

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#SPJ1

Answer:

43.57

Step-by-step explanation:

Line up the decimal points.

Add a 0 for 1.07 so the numbers have the same length.

01 . 0 7

42. 5 0

-------------

43.57

Answer:

1.07+42.5

=1.07+42.5

=43.57

Step-by-step explanation:

Add the numbers

Make 42.5 equal to 42.50 for better understanding when calculating

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{3x-7y}{8}[/tex] × [tex]\frac{6}{3x-7y}[/tex] ← cancel 3x - 7y on numerator and denominator

= [tex]\frac{1}{8}[/tex] × [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] → C

(7)

[tex]\frac{6x}{x^2-9}[/tex] ÷ [tex]\frac{8}{4x-12}[/tex]

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

[tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{8}{4(x-3)}[/tex] ← cancel 8 and 4 by 4

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{2}{x-3}[/tex]

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] × [tex]\frac{x-3}{2}[/tex] ← cancel x - 3 on numerator and denominator

= [tex]\frac{6x}{x+3}[/tex] × [tex]\frac{1}{2}[/tex] ← cancel 2 and 6 on numerator and denominator

= [tex]\frac{3x}{x+3}[/tex] → B