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3 years ago

Which traingle meets the criteria for the ambiguous case?

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

Answer:

Step-by-step explanation:

Which triangle meets the criteria for the ambiguous case?

A triangle has angle measures of 58 degrees and 51 degrees. A side with length 7 is opposite of the 58 degree angle.

A triangle has side lengths of 4 and 6. The angle between the 2 sides is 66 degrees.

A triangle has side lengths of 5 and 3. The angle opposite to the side with length 5 is 84 degrees.

nirvana33 [79]3 years ago

7 0

Answer:

scalene triangle

Step-by-step explanation:

this triangle has no side eqaul

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Write each of these propositions in the form "p if and only if q" in English.

goldfiish [28.3K]

Answer:

The "p if and only if q" statement is equivalent to "q if and only if p", then let's rewrite all the propositions in this way.

a) "If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside."

We can define:

q = is hot outside

p = you buy an ice cream cone

Then we can rewrite this as:

"You buy an ice cream cone if and only if is hot outside"

b) "For you to win the contest it is necessary and sufficient that you have the only winning ticket."

We can define:

p = you winning the contest

q = have the winning ticket

Then we can rewrite (changing some words) this as:

"You will win the contest if and only if you have the winning ticke"

c) "You get promoted only if you have connections, and you have connections only if you get promoted."

We can define:

p = you get promoted

q = you have connections

We can rewrite the proposition as:

"You can get promoted if and only if you have connections"

d) " If you watch television your mind will decay, and conversely."

We can define:

p = you watch television

q = your mind will decay

We can rewrite it as:

"You can watch television if and only if your mind decays"

e) " The trains run late on exactly those days when I take it."

We can define:

p = The train runs late

q = I take it.

We can rewrite the proposition as:

"The train runs late if and only if I take it"

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I thinkmis B
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Hence, .5 < .60 < .75.

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Answer:

Step-by-step explanation:

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3 years ago

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$f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}$

So for f(x) = x² on [1, 5], the AROC of f is

$f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}$

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