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Kruka [31]
3 years ago
15

Find the exact value of the given expression using a sum or difference formula.

Mathematics
1 answer:
leonid [27]3 years ago
5 0
<span>sin (a - b) = sinacosb - sinbcosa
1) sin345° = sin (360 - 15) = sin360cos15 - sin15cos360= 0-sin15 *1=
  </span>sin345° = - sin15, 

2) cos(11π) /12= - cos pi / 12 = cos ( - 4pi/12  +3pi/12)= cos (- pi/3 + pi/4) =
cos (-pi/3) cos pi/4) + sin (-pi/3) sin( pi/4) = sqrt6 /4 - sqrt2/ 4

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Kapil needed to buy a long wooden beam. He went to two sawmills that each charge an initial fee plus an additional fee for each
matrenka [14]

Answer: first sawmill charges more for each meter of wood. And first mill has a cheaper price for 5-meter wooden beam.

Step-by-step explanation:

P=5+20x. The first sawmill charges $20. Then 110-20/5-0=18 Which means The second sawmill charges $18 for each meter of wood. Since 20>18 The first sawmill charges more for each meter of wood.

P = 5+20x

=5+20x•5

= 105

The first mill charges $105 For a 5 meter beam while the second beam charges $110

7 0
4 years ago
Evaluate the following expression using the values given:
LiRa [457]
Hey there! :) 

2x - 3y - z ; When x = -2, y = 3, & z = -2

Since we're given the values of x, y, & z, we can very simply plug everything in! 

2(-2) - 3(3) - (-2)

Simplify.

(-4) + (-9) + 2

Get rid of parenthesis.

-4 - 9 + 2

Remember to do PEMDAS! 

Parenthesis
Exponents
Multuply
Divide
Add
Subtract

So, since adding comes before subtracting, let's add! :) 

-4 - 9 + 2

-4 - 7

Simplify.

-11

So, our answer is [A] : -11

~Hope I helped!~
5 0
3 years ago
Solve the equation below<br><br> 18 = 6 ( 2 x - 8 )
MrRissso [65]

Answer:

x=11/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
H (x) = -x+4 when h(x)=-3
Aleks04 [339]
X=7
. hope that helps
5 0
4 years ago
At a drive through restaurant Juan’s family ordered a small drink and m medium drinks. Alex’s family ordered m medium drinks and
sertanlavr [38]

<u>Answer: </u>

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

<u>Solution: </u>

Given that  

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 \times x + m \times y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

= m x y + 1 x z

=my + z

So total cost of both order in dollars = x + my + my + z = x + 2my + z

Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.  

5 0
3 years ago
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