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Aliun [14]
3 years ago
5

(giving brainiest and thanks on the answer and question if correct!

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

it is option A

Step-by-step explanation:

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In how many ways can you arrange the numbers 1, 3, 5, and 7 to make a four-digit number that uses each number exactly once?
Temka [501]
There are 24 possible arrangements
7 0
2 years ago
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
We will use the values off(x) at the points 0.0,0.2,0.4,0.6,0.8. Generate the data set beforeyou start the numerical integration
leva [86]

Answer:

Check attachment for complete question and answer

8 0
3 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?. . A.a number line with
r-ruslan [8.4K]

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2.    <em>  (Shading right side for greater than sign)</em>

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. <em> (Shading left for less than sign)</em>

<em>We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.</em>

And because we have "OR" composite inequality.

<em>So, we would take the combination of both shaded portion.</em>

<h3>Therefore, correct option is C.number line with shading everywhere.. </h3>
4 0
3 years ago
Which expression is equivalent to 4(3+5)-3.94?
Anna007 [38]

Answer:

4(3 + 5) - 3.94 \\ 4 \times 8 - 3.94 \\ 32 - 3.94 \\  = 28.06

3 0
3 years ago
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