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Citrus2011 [14]
4 years ago
12

How many months are in 7540 years?

Mathematics
1 answer:
elena55 [62]4 years ago
5 0
All you have to do is 7540x12 

(12 representing the months in on yr)

7540x12=90480

there are 90480 months in 7540 yrs
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true

Step-by-step explanation:

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An isosceles triangle has two angles both equal to x°. The third angle is 60° bigger than either of these. Find the value of x°.
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4 years ago
Solve each quadratic equation by completing the square. Give exact answers--no decimals.
Sholpan [36]

Answer:

x_1 = -2 + 2i\\\\x_2 = -2 -2i

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

7x ^ 2 + 28x +56 = 0

The steps are shown below:

For any equation of the form: ax ^ 2 + bx + c = 0

1. If the coefficient a is different from 1, then take a as a common factor.

In this case a = 7. Then:

7(x ^ 2 + 4x) = -56

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor a = 7:

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4. Factor the resulting expression, and you will get:

7(x + 2) ^ 2 = -28

Now solve the equation:

Note that the term 7(x + 2) ^ 2 is always > 0 therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i

4 0
4 years ago
Read 2 more answers
John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friend
svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

\frac{7}{11}(x-110)=\frac{7}{11}x-70

Then he put 2/5 of his remaining money into a checking account

\frac{3}{5}\left(\frac{7}{11}x-70\right)

Rest he donated to charity

420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210

Hence total amount of money John originally had was $1210

8 0
3 years ago
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