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guapka [62]
4 years ago
5

Zoe paid \$18.60$18.60 in sales tax and tips for her dinner. The sales tax rate is 11\%11%, and she tipped 20\%20%. (The sales t

ax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.)
Mathematics
1 answer:
love history [14]4 years ago
8 0

Answer: The price of billing is $221.40.

Step-by-step explanation:

Since we have given that

Amount Zoe has paid in sales tax = $18.60

Rate of sales tax = 11%

So, Let the original price be 'x'.

According to question, it becomes,

\frac{11}{100}\times x=18.60\\\\x=\frac{18.60\times 100}{11}\\\\x=\$169\ approx.

Rate of tip = 20%

Amount of tip is given by

\frac{20}{100}\times 169\\\\=\$33.8

Amount after tip is given by

\$169+\$33.8\\\\=\$202.8

Hence, The price of billing is given by

202.8+18.60\\\\=\$221.4

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Given that sinθ=-3/4 in quadrant 4 find cosθ
Gekata [30.6K]

Step-by-step explanation:

sin∅=-3/4 in 4 quadrant which sine is negative there

using soh cah toa

sin=opp/hyp

where our opp=-3 and our hyp=4

using pythagoras theorem

hyp²=opp²+adj²

(4)²=(-3)²+adj²

16=9+adj²

16-9=adj²

adj²=7

adj=√7

from soh cah toa

cos∅=adj/hyp

cos∅=√7/4

4 0
2 years ago
(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
andreev551 [17]

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

20-9.28=10.72\\10.72\div2=5.36

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

3 0
3 years ago
Read 2 more answers
A car travels 2.83 km in the x-direction, then turns left 65.3 ◦ to the original direction and travels an additional distance of
umka21 [38]

Answer:

  4.24 km

Step-by-step explanation:

The x-component of the displacement after the turn is ...

  d2·cos(θ) = (3.38 km)cos(65.3°) ≈ 1.41239 km

Adding this to the displacement before the turn, we have ...

  x-component of displacement = 2.83 km + 1.41 km = 4.24 km

4 0
3 years ago
Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
likoan [24]

Answer:

Option C: 6x-5y=15

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y = -5/6x +8

8 is the <u>y-intercept</u>

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when a slope is in <u>fraction form</u> the numerator is the y direction over the denominator how much the line changes in the x direction

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*: (=' :') this

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6 0
3 years ago
What is the slope of the line through (3,2) and (-3,4)?
NISA [10]

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )

m = \frac{4-2}{-3-3} = \frac{2}{-6} = - \frac{1}{3}

3 0
2 years ago
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