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3 years ago

Which number produces a rational number when added to 0.5

1 answer:

5 0

Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number. If you add it to 0.5, then the sum is another rational number.

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If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once

AfilCa [17]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x

15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x

1705=x

x=1705

now we have:

11% of 15500=1705

8 0

2 years ago

If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .

The area (in square inches) of the circle that the hexagon did not cover would be:

$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

3 0

3 years ago

An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How

zavuch27 [327]

Answer:

$34,300

Step-by-step explanation:

First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455

455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

5,460 * 5 = 27,300

You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account

6 0

2 years ago

What does the following define?

Vlad [161]

Answer A is correct because the straight line is called a parallel line

6 0

3 years ago

Of the computer games Lynne owns, 5-12 are sport games and 3-12 are educational. What fraction of the games are either sport gam

Serhud [2]

Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.

5/12 + 3/12= 8/12 or 2/3 are one or the other.

8 0

3 years ago

Read 2 more answers