The hand on a clock shows 6:00pm what is the measure of the angle

Mathematics

2 answers:

ankoles [38]3 years ago

5 0

180 degrees, the angle would be 180 degrees

Korvikt [17]3 years ago

5 0

For a clock to be showing 6:00, the minute hand must be straight up and the hour hand straight down. This creates a straight line, which has an angle of 180° or π radians.

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

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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!

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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