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Leona [35]
3 years ago
9

2 to the power of 4 x 2 to the power of 9 x 2

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer: 8^2 18^2

Step-by-step explanation: The way that you figure out the power is by multiplying the 4x2=8 than the 9x2=18 than you raise them both to the second power.

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F (10) = 10/2 = 5 . how to solve this problem​
Sonja [21]

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

\sf f(10)=\dfrac{10}{2}=5

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

\sf f(x)=\dfrac{x}{2}

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2 years ago
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The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
Simplify the square root of 27x^12/300x^8
Darina [25.2K]
The first thing we are going to do is rewrite the expression correctly.
 We have:
 root (27x ^ 12 / 300x ^ 8)
 Rewriting:
 root ((27/300) * (x ^ 12 / x ^ 8))
 root ((9/100) * (x ^ (12-8)))
 root ((9/100) * (x ^ (4)))
 root ((9/100) * (x ^ (4)))
 3 * x ^ 2 * root ((1/100)
 (3 * x ^ 2) / 10
 (3/10) * (x ^ 2)
 Answer:
 (3/10) * (x ^ 2)
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nataly862011 [7]

Answer:

i dont get it

Step-by-step explanation:

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