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3 years ago

Determine whether a tangent is shown in the diagram, Yes or No?

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

Step-by-step explanation:

If the line was a tangent, it would be perpendicular to the radius of the circle - hence there would be a 90 angle between them. Therefore we would be able to apply the Pythagorean theorem ( $a^2 + b^2=c^2$ ) to determine the side lengths of a triangle that would be valid. In order for the line to be a tangent so you would say that:

$3^2+9^2=90$

$12^2 = 144$

$90\neq 144$

so this must not be the case.

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3 years ago

A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a

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Answer:

Part (A) The required volume of the column is $s^2h$ .

Part (B) The volume be $s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$ .

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along L, and generate a corkscrew-like column with square.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

$s^2h$

Hence, the required volume of the column is $s^2h$ .

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

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3 years ago

Which quantity is proportional to 35/80

Talja [164]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

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