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Doss [256]
3 years ago
9

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. you dec

ide to leave a 20% tip for the waiter? How much will the total bill be, including tax and tip?
Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

$67.32

Step-by-step explanation:

52.6 multiplied by .08 equals 4.2

52.6 multiplied by .2 equals 10.52

4.2 plus 10.52 equals 14.72

52.6 plus 14.62 equals 67.32

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Use the power reducing formula to rewrite the expression in therms of first powers of hte cosines of ultiple angles 3cos^4x.
Oxana [17]

The particular identity you want to use is

\cos^2x=\dfrac{1+\cos(2x)}2

Then

3\cos^4x=3(\cos^2x)^2=3\left(\dfrac{1+\cos(2x)}2\right)^2=\dfrac34(1+\cos(2x))^2

Expand the binomial to get

3\cos^4x=\dfrac34\left(1+2\cos(2x)+\cos^2(2x)\right)

Use the identity again to write

\cos^2(2x)=\dfrac{1+\cos(4x)}2

and so

3\cos^4x=\dfrac34\left(1+2\cos(2x)+\dfrac{1+\cos(4x)}2\right)

3\cos^4x=\dfrac38\left(3+4\cos(2x)+\cos(4x)\right)

7 0
3 years ago
HELP ASAP DUE TODAY PLZ HELP<br> Solve the equation for x.<br> 17=5+23x
LenKa [72]

Answer:

x=12/23

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
Can someone help me
KatRina [158]

Let's recall that in a parallelogram:

1. The opposite sides are paralell

In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.

2. Those opposite sides are equal in length.

3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.

4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.

In our case then:

\angle\text{ C = }\angle\text{ G }\Rightarrow\text{ C = 50}\circ\text{ , G = 50}\circ

Now, we can find the measure of angles K and Z, as follows:

\angle C\text{ + }\angle Z\text{ = 180}\Rightarrow\text{ 50 + }\angle Z\text{ = 180 }\Rightarrow\text{ }\angle Z\text{ = 180 - 50}\angle Z\text{ = 130}\circ\text{ }\Rightarrow\angle K\text{ = 130}\circ

3 0
1 year ago
I'm having one of those days where my motivation is completely gone. I know what I need to get done and how to get it done, but
Vinvika [58]

Answer:

Ah, I have this problem. I'm not sure if this would help you but I typically put on some of my favorite music which tends to get me pretty hyped up. By then I'm not so reluctant to do my school work. You can also think of something that your excited to do later which might encourage you to get your school work done so you can do that activity. Hope this helps, have a good day!

Step-by-step explanation:

6 0
3 years ago
figure a below is translated 4 units left and 1 unit down and then reflected over the y-axis which best explains whether figure
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Please provide the picture
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