10 is 40% of what number

Mathematics

2 answers:

Law Incorporation [45]3 years ago

6 0

25 is the 40% of 10.

Reptile [31]3 years ago

3 0

Let the unknown number be a ..
40% of a = 10
=> 40/100a = 10
=> 2/5a = 10
=> 2a = 10 * 5
=> a = 50/2
=> a = 25

so 10 is 40% of 25 ..

Hope it helps !!

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Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches