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Ludmilka [50]
2 years ago
8

The price was

Mathematics
1 answer:
ryzh [129]2 years ago
8 0

Answer: $165

Step-by-step explanation: Divide the new price by 1, + the percent of increase. 198 / 1.20 = 165

<u><em>MARK AS BRAINLIEST PLEASE! ;D</em></u>

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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
2 years ago
What is the completely factored form of d4 − 81?
lilavasa [31]

For this case we must factor the following expression:

d ^ 4-81

Rewriting the expression:

(d ^ 2) ^ 2-9 ^ 2

We factor using the formula of the square difference:

a ^ 2-b ^ 2 = (a + b) (a-b)

Where:

a = d ^ 2\\b = 9

So:

(d ^ 2 + 9) (d ^ 2-9)

From the second term we have:

d ^ 2-3 ^ 2 = (d-3) (d + 3)

Finally, the factored expression is:

(d ^ 2 + 9) (d-3) (d + 3)

Answer:

(d ^ 2 + 9) (d-3) (d + 3)

4 0
3 years ago
Read 2 more answers
How do you write 3 ones as a decimal
harina [27]
3.0, because the 3 is in the ones place.
4 0
3 years ago
Read 2 more answers
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
JulijaS [17]

Answer:

Solution:

Given, cost price = $784.50

Profit = 6.5% of cost price

        = 6.5/100 × $784.50

        = $50.9925 [since, profit% is always on C.P.]

And selling price = cost price + profit

                      = $784.50 + $50.9925

                      = $835.4925

Hence, selling price = $835.4925

5 0
2 years ago
Read 2 more answers
What are composite numbers in 50?
Serggg [28]
A composite number is a number that can be divided <span>evenly </span>
<span>by numbers other than 1 or itself. So in this case  the composite factors that make up 50 are: 25 and 10</span>
7 0
3 years ago
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