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Andrei [34K]
3 years ago
11

The price for dinner in a restaurant was $80. The sutomer paid an additional 7% meals tax and left a $15 tip. How much did the c

ustomer spend altogether in the restaurant?
Mathematics
1 answer:
Goshia [24]3 years ago
7 0
Price for Dinner = $80.

Meal tax = 7% x $80 = 0.07 x 80 = $5.60

Tips = $15

Total = $80 + 45.60 + $15 = $100.60

Answer: $100.60
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Given: sinθ = -3/5, θ is a third quadrant angle, and tan φ = -7/24, φ is a second-quadrant angle; find cos(θ + φ])
Natali [406]

Answer:

First option: cos(θ + φ) = -117/125

Step-by-step explanation:

Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.

Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.

Therefore:

cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)

cos(θ + φ) = (-96/125) - (21/125)

cos(θ + φ) = -96/125 - 21/125

cos(θ + φ) = -117/125

8 0
2 years ago
To decorate a cake, you make a shade of green icing using 3 drops of yellow food coloring for every 4 drops of blue food colorin
SVETLANKA909090 [29]
This kinda easy. Every 3 yellow drops is 4 blue drops, so here's the answer.        3 = 4, 6 = 8, 9 = 12, 12 = 16. so you would need 16 blue drops.        
5 0
3 years ago
jared is painting a wall in his living room that is 20 feet high and 18 feet long there are 3 windows on the wall each window is
SSSSS [86.1K]

20 high x 18 long = 360 square feet

3 windows x (4 high x 3 long) = 3 windows x 12 square feet = 36 square feet

360 - 36 (because we obviously don't paint windows) = 324

324 square feet to paint on one wall

3 0
3 years ago
P, Q & R form a right-angled triangle.
Naya [18.7K]

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°

4 0
3 years ago
Find the value of x in the triangle
miss Akunina [59]

Answer: \sqrt{52}

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 = 16

6^2 = 36

16+36=52

c^2=52

c=\sqrt{52}

5 0
3 years ago
Read 2 more answers
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