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kolbaska11 [484]
3 years ago
7

The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dol

lars and cents?
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0
$268.00 base price
8% is $21.44
Total with tax $289.44
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Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)
Paladinen [302]

Step-by-step explanation:

Let x represent theta.

\sin( \frac{\pi}{4} - x )

Using the angle addition trig formula,

\sin(x - y)  =  \sin(x)  \cos(y)  -  \cos(x)  \sin(y)

\sin( \frac{\pi}{4} )  \cos(x)  -  \cos( \frac{\pi}{4} )  \sin(x)

( \frac{ \sqrt{2} }{2})  \cos(x)  -  (\frac{ \sqrt{2} }{2}  )\sin(x)

Multiply one side at a time

Replace theta with x , the answer is

\frac{ \sqrt{2} \cos(x)  }{2}  -  \frac{ \sin(x) \sqrt{2}  }{2}

2. Convert 30 degrees into radian

\frac{30}{1}  \times  \frac{\pi}{180}  =  \frac{\pi}{6}

Using tangent formula,

\tan(x + y)  =  \frac{ \tan(x)  +  \tan(y) }{1 -  \tan(x) \tan(y)  }

\frac{ \tan(x) +  \tan( \frac{\pi}{6} )  }{1 -  \tan(x) \tan( \frac{\pi}{6} )  }

Tan if pi/6 is sqr root of 3/3

\frac{ \tan(x) +  ( \frac{ \sqrt{3} }{3} )  }{1 -  \tan(x)  (\frac{ \sqrt{3} }{3} )  }

Since my phone about to die if you later simplify that,

you'll get

\frac{(3 \tan(x) +  \sqrt{3} )(3 +  \sqrt{3}  \tan(x)  }{3(3 -  \tan {}^{2} (x) }

Replace theta with X.

4 0
3 years ago
What’s 45 divided by 14.04
Vladimir79 [104]

Answer:

3.205

Step-by-step explanation:

convert the decimal number to a fraction

45 \div  \frac{351}{25}

To divide by fraction, multiply by the reciprocal of that fraction

45 \times  \frac{25}{351}

Reduce the numbers with the greatest common divisor 9

5 \times  \frac{25}{39}

Calculate the product

\frac{125}{39}

Now turn it to a decimal which will be

3.20513

8 0
3 years ago
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interes
ryzh [129]

Answer:

her life

Step-by-step explanation:

6 0
3 years ago
Can someone please please please help me it’s ergent
JulsSmile [24]

Answer:

D 192

Step-by-step explanation:

used:  new: total

4:          1     :  5

We have 240 stamps

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Multiply each number by 48

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4*48:   1*48  :  5*48

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There are 192 used stamps and 48 new stamps in his collections

7 0
4 years ago
Read 2 more answers
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then th
Lelechka [254]

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

4 0
3 years ago
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