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Monica [59]
3 years ago
5

The cost of a meal is $48.50 at this restaurant a tip of 20% is encouraged. Find the amount of the tip. Now find the total amoun

t. Could anyone help?
Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0

Answer:

$9.70

Step-by-step explanation:

Please mark brainliest.

LenaWriter [7]3 years ago
3 0

Answer:

tip - $9.7

total cost - $58.2

Step-by-step explanation:

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irina [24]

Answer:

4. 3. 10

5. 1102.31

6. 17.37

Step-by-step explanation:

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3 years ago
For what values of x does 25^x = 5^x^2-3?
weeeeeb [17]
Attached solution with detailed work.

6 0
3 years ago
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100 POINTS + BRAINLIST
mojhsa [17]

Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

angle OPT = 90 degrees

Let's use the Pythagorean theorem to find the missing side 'a'

a^2 + b^2 = c^2

a^2 + 7^2 = 12^2

a^2 + 49 = 144

a^2 = 144 - 49

a^2 = 95

a = sqrt(95)

a = 9.7467943

a = 9.7

----------------

Let's use the sine and arcsine rule to find angle y

sin(angle) = opposite/hypotenuse

sin(y) = 7/12

y = arcsin( 7/12 )

y = 35.6853347

y = 35.7

The value of y is approximate. Make sure your calculator is in degree mode. Arcsine is the same as inverse sine or \sin^{-1}

====================================================

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

  • a = 7
  • b = 13
  • c = 16

Which leads to

a^2 + b^2 = c^2

7^2 + 13^2 = 16^2

49 + 169 = 256

218 = 256

We get a false equation at the end, since both sides aren't the same number, which means the original equation is false.

We don't get a^2 + b^2 = c^2 to be true, therefore this triangle is not a right triangle.

Consequently, this means angle OPH cannot possible be 90 degrees (if it was then we'd have a right triangle). Therefore, point P is not a tangent point.

You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

7 0
3 years ago
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If you multiply two prime numbers, will the result be prime or composite?
ki77a [65]

Answer:

It can never be a prime number.

Step-by-step explanation:

This is because the product of the two prime numbers are divisible by those two numbers, therefore going against the definition of a prime number. For example 3 and 5 are prime numbers and their product is 15. 15 can be divided by 3 and 5 so it is not a prime number.

Hope this helps.

4 0
2 years ago
What is the range of possible sizes for side x
vladimir1956 [14]

Answer:

4<x<12

Step-by-step explanation:

8.0+4.0=12.0

8.0-4.0=4.0 or 4

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2 years ago
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