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3 years ago

What is the diameter of this circle if the circumference is 18x inches?

Mathematics

2 answers:

Rudik [331]3 years ago

8 0

Hey There,

The formula to solve for diameter is

18/pi

Let's solve.

18 $\div$ pi = 5.72957795131

Therefore, the diameter is 5.72957795131

Genrish500 [490]3 years ago

7 0

The diameter is 5.72958

(in order to find the diameter use the equation d= C/pi )

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Square root of 648.7209 by division method

SpyIntel [72]

Answer:

$25.47$

Step-by-step explanation:

This root can be rewritten as:

$\sqrt{\frac{6487209}{10000} }$

$\sqrt{\frac{6487209}{100^{2}} }$

$\frac{1}{100}\cdot \sqrt{6487209}$

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

$\frac{1}{100}\cdot \sqrt{3\times 2162403}$

2162403 is also a multiple of 3, then:

$\frac{1}{100}\cdot \sqrt{3^{2}\times 720801}$

$\frac{3}{100}\cdot \sqrt{720801}$

720801 is a multiple of 3, then:

$\frac{3}{100}\cdot \sqrt{3\times 240267}$

240267 is a multiple of 3, then:

$\frac{3}{100}\times \sqrt{3^{2}\times 80089}$

$\frac{9}{100}\cdot \sqrt{80089}$

80089 is a multiple of 283, then:

$\frac{9}{100}\cdot \sqrt{283^{2}}$

$\frac{9\times 283}{100}$

$\frac{2547}{100}$

$25.47$

6 0

3 years ago

What is 37/40 in simplest form

disa [49]

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

7 0

2 years ago

Eight toymakers each carved 25 blocks<br> and 15 cars. How many toys did they<br> carve in all?

taurus [48]

Answer: 320 toys

Step-by-step explanation:

We can use an expression to solve this question.

8 (25 + 15)

8 (40)

320

4 0

2 years ago

If (5x− 4)(3x+ 7) = 15x²-ax-b,then find the value of a and b

Mkey [24]

Answer:

$a=-23\\\\b=28$

Step-by-step explanation:

Let's start by using distributive multiplication:

$(a\pm b)(c\pm d)=ac\pm ad \pm bc \pm bd$

So:

$(5x-4)(3x+7)=15x^2+35x-12x-28\\\\$

Grouping like terms:

$15x^2 +(35x-12x)-28\\\\15x^2+23x-28$

Now, $15x^2+23x-28$ is equal to:

$15x^2-ax-b$

In this sense:

$15x^2+23x-28=15x^2-ax-b$

In order to satisfied the equality:

$23x=-ax\hspace{10}(1)\\\\and\\\\-28=-b\hspace{10}(2)$

Hence, from (1), let's solve for a:

$23x=-ax\\\\-a=\frac{23x}{x} \\\\-a=23\\\\a=-23$

And from (2), let's solve for b:

$-28=-b\\\\b=28$

Let's verify the result evaluating the values of a and b into the original equation:

$(5x-4)(3x+7)=15x^2+23x-28=15x^2 -ax -b\\\\(5x-4)(3x+7)=15x^2+23x-28=15x^2 -(-23)x -(28)\\\\(5x-4)(3x+7)=15x^2+23x-28=15x^2 +23x -28$

As you can see, the values satisfy the equation, therefore, we can conclude they are correct.

3 0

3 years ago

Shelly rolls a number cube labeled from 1 to 6. What is the probability that she rolls a number greater than 5 or less than 2?

s2008m [1.1K]

Answer:

1/3 =0.33 = 33%

Step-by-step explanation:

The probability is the number of chances divided by the total number. The total number of options is 6 since it is a six sided cube. She could roll a 6 to be greater than 5 or 1 to get less than 2. These are two options out of total of 6.

2 out of 6 is 2/6 which simplifies to 1/3 =0.33 = 33%

7 0

3 years ago

Read 2 more answers