Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know. Help please

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

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

Thus, the equivalent form of the given expression is 1 /(x + y)

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9514 1404 393

Answer:

  22. E

  23. C

Step-by-step explanation:

These questions are asking you to make use of a couple of trig identities for converting products to sums.

  sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))

  cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))

  sin(-x) = -sin(x)

  cos(-x) = cos(x)

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22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))

  = 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)

__

23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Answer:

Step-by-step explanation:

As,

[tex] {2}^{15} [/tex]

Meaning that 2 multiplied 15 times here,

Equals 32 768

Now,

[tex] {2}^{14} [/tex]

Meaning that 2 multiplied 15 times then divided by one time 2,

Equals 32 768 ÷ 2 = 16384 (Ans)

Multiply [tex]Q\cdot P[/tex], quantity and price,

[tex]1.2\cdot5.95=7.14[/tex].

Hope this helps :)

Answer:

$7.14

Step-by-step explanation:

Price of 1 pound cheese=$5.95

Price of 1.2 pounds cheese=$5.95 * 1.2

Price of 1.2 pounds cheese=$7.14

Note:if you need to ask any question please let me know.

Answer:

exactly one of the four are white

Answer:

less than

Step-by-step explanation:

The number is less than 2.93 .

Its absolute value (magnitude) is also less than 2.93 .

Answer:

3√5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4 corresponds to the middle piece of the function, therefore:

Answer:

when x = 18. Putting x = 18 into the equation y = 6/x, we have y = 6/18. Simplifying the fraction gives us y = 1/3.

Step-by-step explanation:

Answer:

I got B and C.

Step-by-step explanation:

When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.

Answer:

d=f(c)=15-c/4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

192=8*4*w

make w subject to formula

w=192/32

w=6

The expression of width is w = V/(l*h) and the value of width is 6.

Given formula of volume is V = l * w * h .

Substituting width (w) from the above equation,

w = V/(l*h) .

Given expression after substitution is w = V/(l*h) .

⇒ w = 192/(8 * 4)

∴  w = 6 .

Thus the value of width is 6.

Therefore, the expression of width is w = V/(l*h) and the value of width is 6.

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Answer:

-32°F

Step-by-step explanation:

8°F - 40°F

=> 32°F

Answer:

the answer is 24

Step-by-step explanation:

30=26-a\6

collect like terms

30-26 =a\6

4=a\6

Cross multiply

a=4×6

a=24

The solution to the given equation is 24.

The given equation is 30 = 26-a/6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 30 = 26-a/6

Transpose 26 to the other side of the equation, we get

30-26 = -a/6

-4 = -a/6

4 =  a/6

Transpose 6 to the other side of the equation, we get

a = 4×6

a = 24

So, the solution is 24.

Therefore, the solution to the given equation is 24.

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Answer:

Step-by-step explanation:

Answer:

10¹⁸

Step-by-step explanation:

Ten to the power of x, has x many zeroes behind 1

The original numbers had 18 digits. So, 10¹⁸ is the smallest number that would exceed the original number

Answer:

24

Step-by-step explanation:

1) added to

She mixed up multiplying to addition

2) 6x3=18

It should be multiplying because we're comparing, there is also a key word: times as

3) 3

Look back up at 2)!

I hope I've help! If I have or is incorrect, please tell me.

Answer:

yes

Step-by-step explanation:

because it follows a procedure which is -10 i.e. 20-10=10

Answer:

125 I think

I'm a lil slow

Grace needs to sell 160 notebooks to make a profit of $120

Two algebraic expressions having the same value and the symbol '=' in between are called as an equation.

Given:

Grace buys notebooks at a price of four for $5.

Unit cost price,

= $5 / 4

= $1.25

And sells them at a price of three for $6.

Unit cost price,

= 6/3

= $2.

Profit = sales - cost

So, the equation,

120 = 2x - 1.25x

0.75x = 120

x = 120/0.75

x = 160

Therefore, 160 notebooks need to sell to maker profit of $120.

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9514 1404 393

Answer:

  a) $217,212.10 after 6 years

  b) $91,780.99 interest earned

Step-by-step explanation:

The future value of this "annuity due" can be found using the formula ...

  FV = P(1 +n/r)((1 +r/n)^(nt) -1)

where P is the periodic payment made n times per year and r is the annual interest rate.

a) After 6 years, the value of the account is ...

  FV = $7000(1 +4/0.08)((1 +0.08/4)^(4·6) -1) = $217,212.10 . . . . 6-yr balance

__

b) After 8 years, the value in the account is ...

  FV = $7000(51)(1.02^32 -1) = $315,780.99

The total of payments is $7000×32 = $224,000, so the interest earned is ...

  I = $315,780.99 -224,000 = $91,780.99 . . . interest earned

Answer:

1

Step-by-step explanation:

4/9÷12/27

=4/9×27/12

=3/3

=1

Answer:

4

Step-by-step explanation:

5*2-3*2=10-6=4

Answer:

80 silver, 8 red

Step-by-step explanation:

let x be the number of red cars then 10x is the number of silver cards , so

x + 10x = 88

11x = 88 ( divide both sides by 11 )

x = 8

10x = 10 × 8 = 80

There are 80 silver cars and 8 red cars

Answer:

x = -b ± √b²-4ac /2a

a = 5

b= -6

c= 1

x = -(-6) ± √(-6)² - 4(5)(1) /2(5)

x = 6 ± √36 - 20 / 10

x = 6 ± √16 /10

x = 6 ± 4/10

Breaking into respective signs

x = 6 + 4/10 or 6 - 4/10

x = 10/10 or 2/10

x = 1 or 1/5

x = 1 or 1/5.

Answer:

1/5 and 1

Brainliest, please!

Step-by-step explanation:

5x^2 - 6x + 1 = 0

a = 5, b = -6, c = 1

(-b +-sqrt(b^2 - 4ac))/2a

(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)

(6 +- sqrt(16)/10

(6 +- sqrt(16))/10

(6 +- 4)/10

2/10 and 10/10

1/5 and 1

Answer: anA=sinAcosA=1213513=1213⋅135=125 .

Step-by-step explanation: your welcome hope this helps

Answer:

[tex] \sin( \theta) = \frac{12}{13} [/tex] = 12:13

[tex] \tan( \theta) = \frac{12}{5} [/tex] = 12:5

Step-by-step explanation:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

adjacent is 5

hypotenuse is 13

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

but opposite = √(13² - 5²) = 12

[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]

Answer:

-3x + 6y = 3

Step-by-step explanation:

-4x + x = -3x

9y - 3y = 6y

9 - 6 = 3

9514 1404 393

Answer:

  (x, y) = (9, 5)

Step-by-step explanation:

My preferred method is to solve a system using a graphing calculator. That result is attached.

__

Here, you can multiply the second equation by 4 and add the first equation.

  4(x -3y) +(-4x +9y) = 4(-6) +(9)

  -3y = -15 . . . . . . . . . . simplify

  y = 5 . . . . . . . . . . . . divide by -3

  x -3(5) = -6

  x = -6 +15 = 9

The solution is (x, y) = (9, 5).