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Semenov [28]
3 years ago
8

Can anyone help??? simplify: cos(126°)cos(36°) + sin(126°)sin(36°)

Mathematics
2 answers:
Degger [83]3 years ago
7 0
Cos A cos B + sin  A sin B  =  cos (A - B)

given expression is = cos (126 - 36 ) = cos 90  = 0

Lynna [10]3 years ago
6 0
A-b is the answer if u know how to simplify numbers similar to that
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Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq
iren [92.7K]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0
3 years ago
A circle has a diameter of 4 meters. What is its perimeter (to the nearest hundredth)? What is its area (to the nearest hundredt
Ilya [14]

Answer:

<h2>C ≈ 12.56 m, A ≈ 12.56 m²</h2>

Step-by-step explanation:

The formula of a perimeter (circumference) of a circle:

C=d\pi

<em>d</em> - diameter

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have <em>d = 2r = 4m → r = 2m.</em>

<em>Substitute:</em>

<em>Use π ≈ 3.14</em>

C=4\pi\ m\approx(4)(3.14)=12.56\ m

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4 0
4 years ago
What is 8 divided by 784
Ilia_Sergeevich [38]

Answer:

98

Step-by-step explanation:

3 0
3 years ago
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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.  

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3 years ago
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