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kozerog [31]
3 years ago
8

6 3/4 % tax, in dollars, on a price of $14.29

Mathematics
1 answer:
seraphim [82]3 years ago
4 0
The awnser to this would be (6.75)(14.29)
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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
Read 2 more answers
What are the integers of 171
Natasha2012 [34]

Answer:

56, 57, and 58.

Step-by-step explanation:

4 0
3 years ago
Put the fractions in order starting with the smallest to the largest
stiks02 [169]

Answer:

21/40, 17/20, 29/40, 3/4, 4/5

Step-by-step explanation:

21/40 = 10.5/20

29/40 = 14.5/20

17/20 = 13.5/20

3/4 = 15/20

4/5 = 16/20

7 0
3 years ago
Plz help..................refresh page before u answer
klio [65]
Your answer is xy-1<span><span>
</span></span><span>=<span><span><span><span>4<span>x2</span></span><span>y2</span></span>−<span><span>4x</span>y/</span></span><span><span>4x</span>y
</span></span></span><span>=<span><span><span><span>4x</span>y</span>−4/</span>4
</span></span><span>=<span><span>xy</span>−<span>1
</span></span></span>Hope this helps!
5 0
3 years ago
Read 2 more answers
Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and
andrew11 [14]

Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond:  ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill:  ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

3 0
3 years ago
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