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USPshnik [31]
3 years ago
7

The ratio of red pens to blue pens in a package is 2:5. If there are 35 ​blue ​pens in the package, how many ​red ​pens are in t

he package? Show your work by using a tape diagram.
Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

10 red pens

Step-by-step explanation:

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The scatter plot below shows the distances some employees of a company commute to work and the annual
salantis [7]

Answer:

It is a

Step-by-step explanation: I looked it up

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3 years ago
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ruslelena [56]
x\in \mathbb{R}
6 0
3 years ago
Write as a single term: cos(2x) cos(x) + sin(2x) sin(x)
GREYUIT [131]

Answer: cos(x)

Step-by-step explanation:

We have  

sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y)   (1)   and

cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y)  (2)

From eq. (1)

if x = y

sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)

From eq. 2

If x = y

cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x)  ⇒ cos²(x) - sin²(x)

cos (2x) = cos²(x) - sin²(x)

Hence:The expression:

cos(2x) cos(x) + sin(2x) sin(x)  (3)

Subtition of sin(2x) and cos(2x)  in eq. 3

[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)

and operating

cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)

cos (x) [ cos²(x) + sin²(x) ]  = cos(x)

since cos²(x) + sin²(x) = 1

8 0
3 years ago
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
Nady [450]

The answer is 21.

First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.

4 0
3 years ago
Find the exact value of the expression without using calculator sin38 - cos52
xxMikexx [17]
SinA=cos(90-A)
Notice here 52=90-38
so the answer is 0
5 0
3 years ago
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