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OleMash [197]
3 years ago
7

What is the length of side ab in equilateral triangle abc if the length of altitude ad to side bc is 12?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
\lim_{n \to \infty} a_n
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A ball is hit vertically upwards from a cliff, which is 80 m above the sea. The displacement
Stels [109]

Answer:

a) 8 seconds

b) 3 seconds

c) 170 meters

Step-by-step explanation:

a) When the ball lands in the sea, s = -80.

-80 = 30t − 5t²

5t² − 30t − 80 = 0

t² − 6t − 16 = 0

(t + 2) (t − 8) = 0

t = -2 or 8

t = 8 seconds

b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).

t = -b / (2a)

t = -30 / (2 × -5)

t = 3 seconds

c) The highest point is:

s = 30(3) − 5(3)²

s = 45

So the ball rises 45 meters, falls 45 meters, then falls 80 meters.

The total distance traveled is 45 + 45 + 80 = 170 meters.

6 0
3 years ago
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she pl
monitta

Answer:

1. I'm not sure of this one so look up "How to write an expression using only addition with numbers" or something like that. 2. after turn one she will have -2 points  3. after turn 2 she will have 6 points 4. after turn 3 she will have 5 points. She will not earn bonus points after turn three because she didn't reach over ten points.

Step-by-step explanation:

4 0
2 years ago
The Great Speedster roller coaster runs 3 trains every 10 minutes. At that rate, how many trains does the roller coaster run eve
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<span>Two cars run at constant speeds around a one-mile racetrack. If the cars circle the track in the same direction, the faster car passes the slower car every 10 minutes. If the cars circle the track in opposite directions, the cars meet every 30 seconds.</span>
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3 years ago
A tree cast a shadow of 30m long and a 2m stick casts one that is 3m long. As show in the below diagram how tall is the tree?​
PSYCHO15rus [73]

Answer:

  • 20 m

Step-by-step explanation:

<u>We have similar triangles here.</u>

  • BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC

<u>The ratio of corresponding sides of similar triangles is same:</u>

  • BC/DE = AC/AE
  • BC / 2 = 30/3
  • BC / 2 = 10
  • BC = 2*10
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3 years ago
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Solve and show work (4-9)(-6)-1)
Dmitry_Shevchenko [17]
The answer is 29.
I hope it helps if not pls let me know
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3 years ago
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