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Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

If the next expands by a factor of 4, all the sides will be 4 times as big. This means that the area expands with 4x4 = 16, and the volume with 4x4x4=64.

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Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)

Sladkaya [172]

The value of given trigonometric value cos(22. 5°) is 0.387.

According to the statement

we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.

So, For this purpose, we know that the

The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.

So,

The given value is :

cos(22. 5°)

Then the value of cos half angle formula is

$cos (theta/2) = +- sqrt((1-cos theta) / 2)$

then

The value of θ/2 is 22.5 degree.

And θ is 22.5*2

θ = 45 degree

and cos 45 degree is 1/squareroot 2

And by this the value of given value become is

$cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827$

So, The value of given trigonometric value cos(22. 5°) is 0.387.

Learn more about half angle formulas here

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2 years ago

A park guide plans the swan boat rides for 40 people. Each boat can carry 6 people at a time . What is the best way to interpret

tatyana61 [14]

40 dived by 6 would be 6.666 and so on. Which means there would be a remainder of people who would not fit onto the boats if there were only 6. They would need 7 boats. Not sure if that's the answer you needed.

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4 years ago

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A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the sca

liberstina [14]

The scale of the diagram as described in the task content is; 1: 8 where k= 8.

<h3>What is the scale of the diagram?</h3>

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.