Review the incomplete derivation of the cosine sum identity.

A 2-column table with 5 rows. Column 1 has entries step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (x + y), sine (StartFraction pi Over 2 EndFraction minus (x + y) ), blank, sine (StartFraction pi Over 2 EndFraction minus x) cosine (negative y) + cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y), blank.

Which expressions for Step 3 and Step 5 complete the derivation?

Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)

Answer:

$6.59 per mask

Step-by-step explanation:

Take the total cost and divide by the number of masks

32.95 /5

6.59 per mask

Answer:

$6.59

Step-by-step explanation:

32.95 divided by 5= 6.59

Add dollar sign

Answer:

Step-by-step explanation:

So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.

Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.

Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.

We can see that both numbers have 120 in common, so we shall use that.

We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.

We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.

And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.

So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.

Answer:

x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.

Step-by-step explanation:

the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.

Answer:

-1 with multiplicity 1

Answer: 0.3, 30%, or 3/10

Step-by-step explanation:

Andrea ate 1/4 of the pizza.

1/4 = 0.25

Her brother ate 35% of the pizza.

35% = 0.35

Her mom at 0.10 of the pizza.

1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza

0.3 = 30% = 3/10

Answer:

Amount made from selling pool rafts on Friday is equal to $108.02

Step-by-step explanation:

Total amount made from selling pool rafts = $564

Amount made from selling pool rafts on Monday = $132.56

Amount made from selling pool rafts on Tuesday = $107.38

Let amount made on each of the days - Wednesday, Thursday, and Friday be equal to $x.

Therefore,

[tex]132.56+107.38+x+x+x=564\\239.94+3x=564\\3x=564-239.94\\3x=324.06\\x=\frac{324.06}{3}\\ x=$108.02[/tex]

So,

amount made from selling pool rafts on Friday is equal to $108.02

Answer:

3(3+7)

Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21

Answer:

3,4,6     6,8,10      8,15,16

Step-by-step explanation:

Answer:63:9

Step-by-step explanation:63:9

Answer:6

Step-by-step explanation:

Answer:

6 would be the coefficient

Step-by-step explanation:

So what we are trying to do is solve for t.

18 + t = 24

-18         -18

t = 6

It would take 6 hours to fill the container.

Hope that helps and have a great day!

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator provides a nice solution to this question.

__

1) Put 48 ft in for H and solve for t:

  48 = -16t^2 +80t

  -3 = t^2 -5t

  3.25 = t^2 -5t +6.25 = (t -2.5)^2

  t = 2.5 ±√3.25

The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.

__

2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...

  H = -16(2.5^2) +80(2.5) = 100

The maximum height is 100 feet. The ball will never reach 110 feet.

Answer:

7+7i

Step-by-step explanation:

you would combine like terms

Answer:

G

Step-by-step explanation:

In F, the graph goes up by two and only to the side by 1. 2/1 simplifies to 2.

In H, y being the double of x would be equal to 2/1 again.

And in J, the numbers are also being doubled.

The slope for G would just be 0, which is undefined.

Answer:

No solution

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

The answer is

[tex] \huge x > - 8[/tex]

Step-by-step explanation:

[tex]5 − (x + 5) > −2(x + 4)[/tex]

First of all expand the terms in the bracket

That's

[tex]5 - x - 5 > - 2x - 8 \\ - x > - 2x - 8[/tex]

Add 2x to both sides

[tex] - x + 2x > 2x - 2x - 8 \\ x > - 8[/tex]

We have the final answer as

[tex]x > - 8 [/tex]

Hope this helps you

Answer:

x > -8

Step-by-step explanation:

5 − (x + 5) > −2(x + 4)

Simplify both sides first:

5 - x - 5 > -2x - 8

-x > -2x -8

Now isolate the variable:

-x > -2x -8

+2x  +2x

x > -8

Answer:

11" x 16"

Step-by-step explanation:

This problem can be solved with an equation

If you translate the first words into an equation, you get:

l = 2w - 6

(where w is width and l is length)

The perimeter (p) of any rectangle is 2l + 2w, so

if p = 54

then 54 = 2l + 2w

Now, you have the following two equations:

l = 2w - 6

2l + 2w = 54

In order to solve this for w, you can replace the l in the equation with (2w - 6) because of the substitution property of equality (if a = b, then a can be replaced with b at any time), so you get:

54 = 2(2w - 6) + 2w

Now, you simplify:

54 = 2(2w - 6) + 2w

= 54 = 4w - 12 + 2w

= 54 = 6w - 12

= 66 = 6w

= w = 11

So the width is 11. In order to find the length you just need to substitute it into the equation for the perimeter:

2l + 2(11) = 54

= 2l + 22 = 54

= 2l = 32

= l = 16

In conclusion, the width is 11 and the length is 16.

Answer:

OMG HI

Step-by-step explanation:

It's been a while... how's life

Answer:

can you provide more information

Step-by-step explanation:

Answer: M and I are both parallel

:)

Answer:

5

Step-by-step explanation:

20 divided by 3.50 = 5.71428571429

Answer:

ywes

Step-by-step explanation:

answer - o<x<10

thank me later

Plug this into the formula y2 - y1 / x2 - x1

-2 = x1, x2 = 2, y1 = -1, y2 = -3

-3 - (-1) / 2 - (-2)

-2 / 4

-1/2

The slope is -1/2.

Answer:

See below.

Step-by-step explanation:

It seems that the question above said that the value of the gift card decreased by $295.

The original amount of the gift card was $400.

$400 - $295 = $105

Once the original amount of the card was decreased by $295, it still has $105 left.

Part 2 of 2

Arleen can buy the wheelbarrow because she has $105 left on the card, and the wheelbarrow costs $100.

Answer:  This is an acute triangle.  Each of the angles is less than 90°

They are B=60°,  C=70°,  D=50°

Step-by-step explanation:

In an obtuse triangle, one of the angles is greater than 90°

In an equiangular triangle, the angles are all 60°

Answer:

Step-by-step explanation:

36x^3 - 48x^2 + 6x + 18x^2 - 24x + 3

36x^3 - 30x^2 - 18x + 3

Answer:

Its is D i took the test you welcome also give me 5stars plsss and like as well thank you

Step-by-step explanation:

She used the part, 75, to write the percent ratio. The part-to-whole percent ratio is StartFraction 300 Over 100 EndFraction

Answer:

$190

Step-by-step explanation:

used the calculator!

Answer: B: 190 dollars

Step-by-step explanation: This is relatively simple, but lets walk through it. First, take out the cents and add them separatly,

75

65

33

You get 1.73!

Now, add the large numbers,

112

29

48

You get 189!

Add these and get 190.73! All you need to do now is round to the nearest given answer, and you get 190 dollars!

Hope this helps, if not, comment down below please!!!

Answer:

Line planes are flat, but angles are at an angle.

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

You need make the same denominator

9 = 3*3

6 = 3*2

it follows that 3 *3 *2 is the simplest denominator

the fraction with the 6 needs to be multiplied by 3/3 and the one with 9 with 2/2

Answer:

B.9, 4, −1, −6

Step-by-step explanation:

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?

A.−5, 4, 13, 22

B.9, 4, −1, −6

C.−5, −45, −405, −3645

D. 9, −45, 225, −1125

From the above question,

A sequence can be generated by using an=a(n−1)+9, where a1=−5

The formula = an = a1 + (n - 1)d

a1 = First term

d = common difference = 9

We are to find the first 5 terms

First term = a1 =

an=an−1+9, where a1=−5

The formula =

a1 = -5 (1 - 1) + 9

= -5(0) 9

= -9

Second term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1 (n - 1) + d

a2 = -5(2 - 1) + 9

= -5(1)+ 9

= -5 + 9

= 4

Third term = a3 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a3 = -5(3 - 1)9

= -5(2) + 9

= -10+ 9

= -1

Fourth term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a4 = -5(4 - 1)9

= -5(3) +9

= -15 +9

= -6

B, C waaaaaaaaaaaaaaaaaaaaaa