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oksian1 [2.3K]
2 years ago
10

Pencils cost $0.20 each.

Mathematics
1 answer:
blsea [12.9K]2 years ago
7 0
A) f(x)=0.2x
B)f(12)=0.2(12)=2.4 dollars
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What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x
andre [41]

Answer:

sin^2x+cos^2x=1 is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

sinx\cdot cosx\cdot tanx=1-cos^2x

We will consider right hand side first

tan x can be written as:

tanx=\frac{sinx}{cosx}

So, on substituting tan x in the left hand side of the given equation we get:

sinx\cdot cosx\cdot \frac{sinx}{cosx}

Cancel common term from denominator and numerator which is cosx we get

sin^2x

And we have an identity:

sin^2x+cos^2x=1

\Rightarrow sin^2x=1-cos^2x

Hence, right hand side is equal to sin^2x.


5 0
2 years ago
Read 2 more answers
prove that cos theta by 1 minus tan theta + sin theta by 1 minus cot theta equal to sin theta + cos theta​
Sindrei [870]

Here is the answer for prove that cos theta by 1 minus tan theta + sin theta by 1 minus cot theta equal to sin theta + cos theta

3 0
2 years ago
I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.
Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.     x² + 2x does = -1

Now add ' 1 ' to each side:     x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

                                       x² + 2x + 1  =  (x + 1)²

So the solutions of     x² + 2x + 1 = 0  are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0
3 years ago
Which expression is equivalent to (x^4/3 x^2/3)^1/3
Oksanka [162]

Answer:

X^2/3

Step-by-step explanation:

6 0
2 years ago
Nathaniel had a bag of 5 green marbles,3 blue marbles,6 red marbles,and 6 yellow marbles.Find the probability if Nathaniel pulls
Dovator [93]
To find probability, you'd have to find the total number of marbles (5+3+6+6=20), and since there are 3 blue marbles, the probability of picking one is 3 out of 20, or 3/20
If that blue marble isn't replaced, there will then be 19 marbles, and 2 blue ones. So the probability of him picking another blue marble is 2/19
8 0
3 years ago
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