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2 years ago

13

A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle

?

1 answer:

Anna11 [10]2 years ago

4 0

Answer:

c ≈ 26.4

Step-by-step explanation:

just use the pythagorean theorem

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Past records indicate that 15 percent of the flights for a certain airline are delayed. Suppose flights are randomly selected on

Zarrin [17]

Answer:

a. 0.0783

Step-by-step explanation:

For each flight, we have these following probabilities:

A 15% probability that a flight is delayed

An 85% probability that a flight is on time.

Which of the following is closest to the probability that it will take 5 selections to find one flight that is delayed?

This is the probability that the first four flights are on time and the fifth is late. So

$P = 0.85*0.85*0.85*0.85*0.15 = 0.0783$

So the correct answer is

a. 0.0783

3 0

2 years ago

Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po

Hitman42 [59]

Answer:

$14\ pounds$

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is $10^3$ times the weight of a cat. Based on this we can write the following equation:

$e=10^3c$

If the weight in pounds of the elephant is:

$e=14,000$

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

$14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14$

3 0

2 years ago

if xy=c^2, prove that x^2 dx/dy+c^2=0

tatyana61 [14]

Hello,

xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)

7 0

2 years ago

Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete

kykrilka [37]

Answer:

Becky, because her reason I'm step 2 does not justify her 2ndbstatement.

Step-by-step explanation:

Two angles which add up to give 180° are said to be defined as supplementary angles.

The Definition of Supplementary Angles is the most appropriate statement to justify the second statement in the proof, as written by Angie, compared to the Angle Addition Postulate stated by Becky.

The Angle Addition Postulate does not justify why the two of angles both equal 180°. According to the Angle Anldditiin Postulate, sum of 2 angles that share the same side can does not necessarily have to be 180°. It could be less than or greater than 180°.

Therefore, Becky completed her proof incorrectly.

8 0

2 years ago

Transform the equation to isolate x: ax = bx + 1. How is

shepuryov [24]

Answer:

$x=\frac{1}{a-b}$

The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.

Step-by-step explanation:

The given expression is $ax-bx+1$

We factor the left hand side to get:

$(a-b)x=1$

We divide both sides by: a-b

$x=\frac{1}{a-b}$

Observe that the difference of a and b is in the denominator.

The whole is of the form: $x\propto \frac{1}{a-b}$

The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.

6 0

2 years ago

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