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Ivenika [448]
2 years ago
13

3 friends go on a hike and bring 14 cookies with them. If they split them evenly how much will each get

Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

14÷3= 4.6666666...

so 4 cookies for each one... with 2 cookies left

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What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
Savanna is playing a game with her friends. She tells them to each pick a number, and then she directs them to: 1. Multiply thei
Kaylis [27]

Answer:

x  = - 6

Step-by-step explanation:

Let  x  b number, according to instructions´ we must

1.-Multiply  by  4

2.-Subtract  6

3.-Divide by 2

4.-Arturo says his new number  - 15

4,.Which one was the original number   ??

The maths expression for that  is :

(4*x - 6 ) / 2  =  -  15

we solve for x

4x  -  6  = - 30

4x   =  - 24

x  = - 6

7 0
3 years ago
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Airida [17]

Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.

4 0
2 years ago
Is |4x+2|+6=0 no solution, all real numbers, 0, and 2
algol [13]

                                        <u>|4x + 2| + 6 = 0</u>

Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


7 0
3 years ago
Cost to store 155 mark up 30
pickupchik [31]

Answer:

  • 201.50

Step-by-step explanation:

SP = CP + markup

  • 155 + 30% =
  • 155*1.3 =
  • 201.50
5 0
2 years ago
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