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Zinaida [17]
3 years ago
8

Which of the following must be true?

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

BC < ED ⇒ answer A

Step-by-step explanation:

* Lets revise some facts in the triangle

- If one side of a triangle is longer than another side, then the angle

 opposite the longer side will be larger than the angle opposite the

 shorter side

- If one angle in a triangle is larger than another angle in a triangle,

 then the side opposite the larger angle will be longer than the side

 opposite the smaller angle

* Lets solve the problem

- In the two triangles BCD and DEB

∵ CD = 8 and BE = 8

∴ CD = BE

∵ Side BD is a common side in the two triangles

- The third side in Δ BCD is BC and the third side in DEB is DE

∵ BC is the opposite side to the angle of measure 24°

∵ ED is the opposite side to the angle of measure 30°

∵ The measure 24° < the measure 30°

∴ The side opposite to the angle of measure 24° < the side opposite

   to the angle of measure 30°

∵ The other two sides of the 2 triangles BCD and DEB are equal

∴ We can compare between the 3rd sides in the Δ BCD and Δ DEB

∴ BC < ED

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2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project

Step-by-step explanation:

Katie, take no breaks when u can get this done in an hour. don't be lazy

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Scorpion4ik [409]

Answer:

We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218

Step-by-step explanation:

The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.

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3 years ago
(cos2a *cos 4a+ sin 2a*sin 4a)/sin4a
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Answer:

Step-by-step explanation:

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=[cos (4a-2a)]/sin 4a

=(cos 2a)/sin 4a

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What is -2.4x +3.8x-x<br>​
maksim [4K]
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3 years ago
A rubber ball is dropped from the top of a hole. Exactly 20 seconds later, the sound of the rubber ball hitting bottom is heard.
gayaneshka [121]

9514 1404 393

Answer:

  4192.9 ft

Step-by-step explanation:

We assume your falling-distance formula is supposed to be ...

  s = 16t²

So, the time required to fall distance s is ...

  t = √(s/16) = (1/4)√s

The time required for sound to travel distance s is ...

  s = 1100t

  t = s/1100

Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

  (1/4)√s + s/1100 = 20

  275√s = 22000 -s . . . . . multiply by 1100 and subtract s

  75625s = s^2 -44000s +484,000,000 . . . square both sides

  s^2 -119,625s +484,000,000 = 0 . . . . put in standard form

  s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

_____

<em>Additional comment</em>

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

7 0
3 years ago
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