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ValentinkaMS [17]
3 years ago
9

At a restaurant you only have $20 to spend on dinner. In addition to the cost of the meal you must pay a 5% sales tax and leave

a 15% tip. What is the most expensive item you can order?
Mathematics
1 answer:
andriy [413]3 years ago
4 0
If you spend $10 on dinner tax is $5 so $15. Then a 15% tip is $2.25 plus $15 is $17.25 spent all together. That leaves you with $2.75 left.
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Cual es la utilidad de la representacion a escala de diferentes distancias reales
svp [43]

Answer:

Scales are used to represent real distances and proportions into maps and planes, that way we can have a bigger perspective about something just having in paper.

One direct use of scales are seen in architecture plans, there, the architect uses scales to represent the construction he is designing. Also, the architect can have a more complete point of view about the principial elements on his work.

6 0
2 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
2 years ago
11. Shrimp are often found in tropical climates and can be raised on farms or caught in the wild.
seropon [69]

Answer:

3/83

Step-by-step explanation:

Probability: the ways to get the desired result / all of the possible results.

To solve, plug in the values they give.

There are 6 packages of wild-caught shrimp from Honduras. (The desired result)

Now, to find all of the possible results, add the total number of packages together.

27 + 40 + 52 + 13 + 6 + 28 = 166

6/166 = 3/83

Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.

7 0
2 years ago
Circle WX = xy 2x+16, xw 7x-29 find wx
sweet [91]

Answer:

WX=36

Step-by-step explanation:

2x+16=7x-29

45=5x

x=9

7x-29

7(9)-29

65-29

36

5 0
2 years ago
PLEASE SOLVE THE AREA OF THE TRAPAZIOD<br><br><br>**SHOW WORK**​
Nikitich [7]

Answer:

40.5

Step-by-step explanation:

Basically use the formula 1//2(base1+base2)*height. So it would be 1/2(4.5+9)*6 which would simplify to 40.5.

8 0
2 years ago
Read 2 more answers
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