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PIT_PIT [208]
3 years ago
9

A pair of shoes costs $89.99. They are on sale for 30% off. The store charges a 6.5% sales tax. What is the final cost? Round to

the nearest cent.
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

<h2>$76.09</h2>

Step-by-step explanation:

30% off → 100% - 30% = 70%

p\%=\dfrac{p}{100}\to70\%=\dfrac{70}{100}=0.7

70% of $89.99 → 0.7 · $89.99 = $62.993

slaes tax = 6.5%

6.5\%=\dfrac{6.5}{100}=0.065

6.5% of $62.993 → 0.065 · $62.993 = $4.094545

The final cost:

$62.993 + $4.094545 = $76.087545 ≈ $76.09

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Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

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⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

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Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





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