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3 years ago

How many triangles can be constructed with angles measuring 10º, 80º, and 90º?

Mathematics

2 answers:

charle [14.2K]3 years ago

6 0

C! 80 + 10 is 90, 90+90 is 180. There are 180 degrees in one triangle

Sphinxa [80]3 years ago

5 0

More than one because lengths were not given for any side

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Kay [80]

Answer:

g = -10

Step-by-step explanation:

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3 years ago

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What does "Time (s)" represent in the graph?

vekshin1

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the independent variable

Step-by-step explanation:

tome is the independent variable

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3 years ago

K. This table shows a directly proportional

larisa [96]

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Step-by-step explanation:

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3 years ago

Show all work to identify the discontinuity and zero of the function f of x equals 4 x over quantity x squared minus 16

Leto [7]

Answer:

Discontinuity of function occurs when x = 4 or x = -4

zero of function is when x=0

Step-by-step explanation:

We are given:

$f(x) = \frac{4x}{x^2 - 16}$

Discontinuity of the function occur when the denominator is equal to zero.

So, we need to find the values of x that makes the denominator zero.

The denominator is x^2 - 16

x^2 - 16 =0

x^2 = 16

x = ± 4

So, if the value of x = 4 or value of x=-4 then the function will be discontinuous.

Zero of the function i.e f(x)=0

So, Putting the function equal to zero and finding the value of x

$\frac{4(x)}{(x)^2 - 16}=0\\4x =0((x)^2 - 16)\\4x=0\\x=0$

So, zero of function is when x=0

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3 years ago

Determine whether each of these sets is nite, countably in nite, or uncount- able. For those that are countably in nite, exhibit

ira [324]

Answer:

Integers that are divisible by 7 are countably infinite

The set are {7, 14, 21, 28, 35, 42, 49,......

Integers that are divisible by 10 are countably infinite

The set are {10, 20, 30, 40, 50, 60, 70,........

Also for the negative integers divisible by 7 or 10{.......,-49, -42, -35, -28, -21, -14, -7} or {........,-70, -60, -50, -40, -30, -20, -10} are countably infinite

Step-by-step explanation:

See the set of integers divisible by 7 or 10,

{7, 14, 21, 28, 35, 42, 49,........} Or

{10, 20, 30, 40, 50, 60, 70,.......}

Can be map one-to-one to {1,2,3,4,5,6,7,...... The set of natural numbers or positive Integers.

So also, it is applicable in negative integers divisible by 7 or 10.

Therefore, they are countably infinite

A set is uncountable if it contains so many elements that they cannot be put in one-to-one correspondence with the set of natural numbers(Positive Integers). In other words, there is no way that one can count off all elements in the set in such a way that, even though the counting will take forever, you will get to any particular element in a finite amount of time.

WHILE

A set is countable or countably finite if it contains so many elements that they CAN be put in one-to-one correspondence with the set of natural numbers(Positive Integers)

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3 years ago