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leva [86]
3 years ago
9

Unit 8 right triangles and trigonometry homework 1

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

x = 31.8

Step-by-step explanation:

From the picture attached,

By applying Pythagoras theorem in right ΔADC,

AC² = AD² + CD²

(22)² = AD² + (16)²

AD² = 484 - 256

AD = √228

     = 2√57

Now we apply Pythagoras theorem in right ΔADB,

AB² = AD² + DB²

x² = 228 + (44 - 16)²

x² = 228 + 784

x² = 1012

x = √1012

  = 31.81

  ≈ 31.8

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Answer:

x\geq 6\text{ or } x

Step-by-step explanation:

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2(x-1)\geq10\text{ or } 3-4x>15

Let's solve each of them individually first:

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x\geq 6\text{ or } x

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Answer: Running speed is 10k/h

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Step-by-step explanation:

My procedure may be unconventional, but it works:

Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.

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