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1 year ago

Solve 4.62 + (−12.3). 56.83 5.85 −7.68 −16.92

Mathematics

1 answer:

ikadub [295]1 year ago

4 0

The sum of the given decimal numbers is -7.68

<h3>Sum of decimal numbers</h3>

Decimal numbers are numbers that contains decimal points. Given the expression below;

4.62 + (−12.3).

Convert to fraction to have:

4.62 + (−12.3) = 462/100 - 123/10

Find the LCM

4.62 + (−12.3) = 462-1230/100

4.62 + (−12.3) = -768/100

4.62 + (−12.3) =-7.68

Hence the sum of the given decimal numbers is -7.68

Learn more on sum of numbers here; brainly.com/question/25734188

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6,7,8,8 and 10 need to be answered

Zarrin [17]

Number 6. 12 1/2 pt
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3 years ago

What is the answer to this question?

kenny6666 [7]

Answer:

From the information we can conclude that the triangle is a isosceles triangle.

First, we can calculate the hypotenuse by using pythagorean theorem:

√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)

To calculate the area of the triangle, we first need to know the height of it.

Since this is a isosceles triangle, the altitude (which is also the height) will also be the median of that triangle.

Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.

From the reasoning above, we can now calculate the height of the triangle:

8/2 = 4(cm)

The area of the triangle should be:

S = hb/2 = (4 . 6)/2 = 12 (cm²)

8 0

3 years ago

Solve 5x^2 − 3x + 17 = 9.

Vedmedyk [2.9K]

Answer:

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

⇒ 5x² − 3x + 17 - 9 = 0

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = $\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}$

x = $\frac{3\pm\sqrt{9-160}}{10}$

x = $\frac{3+\sqrt{-151}}{10}$ and x = $\frac{3-\sqrt{-151}}{10}$

x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

here i = √(-1)

Hence,

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

7 0

3 years ago

Could anyone help with this, thanks !!

pogonyaev

Answer:

Step-by-step explanation:

5 0

3 years ago

Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent.

Alex17521 [72]

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = $\frac{\$134,000}{0.94}$

= $144,681

Hence, the selling price of the house is $144,681

5 0

3 years ago