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Yuliya22 [10]
3 years ago
15

You are rock climbing and descending a cliff at a rate of about 9 feet per minute the cliff is about 360 feet high A. How long u

ntil you are at a height of 234 feet. B. How long until you are halfway down
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

a is 14 minutes and b is 20 minutes

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70. Write the standard form of the equation of the line with
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y = -2x - 8

Step-by-step explanation:

<u>Use the point slope form:  (y - y1) = m(x - x1)</u>

(y - (-4)) = -2(x - (-2))

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Answer:  y = -2x - 8

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A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​30% actually enroll. If 30,
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A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be
LenKa [72]
<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: a^2+b^2=c^2

  • <em>a</em> and <em>b</em> are the two legs in a right triangle
  • <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
  • <em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

  • Legs = 9 units and 12 units
  • Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

a^2+b^2=c^2\\9^2+12^2=c^2

⇒ Combine like terms:

81+144=c^2\\c^2=225

<h2>Answer</h2>

c^2=225

4 0
2 years ago
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no lar
AURORKA [14]

Answer:

0.101

Step-by-step explanation:

Given that :

Standard deviation, s = 0.2

Sample variance, s² = 0.0653

Sample size, n = 10

Population variance = σ² = 0.04

We use the Chi square distribution :

(n - 1)s² / σ²

For P(s² ≥ 0.065)

(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04

(n - 1)s² / σ² = 0.585 / 0.04 = 14.625

P(s² ≥ 14.625) = 0.101 ( chi squee calculator).

8 0
2 years ago
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