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Karo-lina-s [1.5K]
3 years ago
15

Luke earned a salary of $48,048 last year. How much did he earn a month? A. $6864 B. $572 C. $4004 D. $924

Mathematics
2 answers:
Brrunno [24]3 years ago
7 0
The answer would be C 4004
stellarik [79]3 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

Luke earned a salary of $48,048 last year.

The annual salary of Luke = $48,048

We have to calculate his monthly salary.

There are 12 months in one year. So we divide his annual salary by 12 to get his monthly salary.

His monthly salary = \frac{48,048}{12}

                              = $4004

Luke earned $4,004 in a month.

Option C.

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Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions
Arlecino [84]

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

<h3>How to interpret the discriminant?</h3>

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

-2x^2 + 3 = 0

The discriminant of an equation is calculated using:

D = B^2 - 4AC

In this case, we have:

A = -2

B = 0

C = 3

So, we have:

D = (0)^2 - 4 * -2 * 3

Evaluate

D = 24

When the discriminant is 0 or more, then the equation has real roots

Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

Read more about quadratic functions at:

brainly.com/question/1214333

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6 0
2 years ago
Find the perimeter of the figure below. <br><br> someone plz help I have a test due today!! :(
TEA [102]
The triangle at top has a perimeter of 5, 12, and 13. The square has a perimeter of 29, 12, 29, and 12. If you add all those up you get 112
4 0
3 years ago
What are those repeating decimals as a fraction and in simplest form?? Thanks:)
crimeas [40]
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6 0
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Estimate and then solve 1,029 ÷ 21 = ___. (4 points)
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6 0
3 years ago
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
3 years ago
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