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3 years ago

What is a supplementary angle?

Mathematics

2 answers:

o-na [289]3 years ago

8 0

Supplementary angles are angles that usually share a common side, but they don't have to. If you joined them together, they would measure a straight angle and together they form a straight angle which measures 180°. If the sum of the measures of two angles is 180°, then the angles are classified as supplementary angles.

An example of a supplementary angle is provided in the image attached.

Lelu [443]3 years ago

5 0

Either of two angles whose sum is 180 degrees

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Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

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2 years ago

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Answer:

Not a right triangle

Obtuse isosceles triangle.

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If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which this amount changes over time is given by the ODE

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We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
$e^{t/100}A(t)=1500e^{t/100}+C$
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Since $A(0)=0$ , we have

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so that the amount of salt in the tank over time is given by

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After 10 minutes, the amount of salt in the tank is

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