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Artist 52 [7]
3 years ago
8

A 20 foot ladder is leaning against the side of a building. The bottom of the ladder is 4 feet from the wall. How many feet abov

e the ground does the ladder touch the wall?
Mathematics
1 answer:
Semenov [28]3 years ago
6 0
It form a right triangle
legnth of ladder is hypotonuse
bottom of ladder from wall distance is one leg
distance up wall is other leg
a^2+b^2=c^2
c=hypotonuse and a and b are legs

4^2+b^2=20^2
16+b^2=400
minus 16 both sides
b^2=384
sqrt both sides
b=8√6 ft
aprox
b=19.59ft from ground
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Step-by-step explanation:

Since 18 divided by 30 is .6, you convert .6 to 60% by moving the decimals two places to the right. Hope this helps.

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Find the equation of the line tangent to the graph of f(x)=(lnx)^(4)at x=10
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Hello,

Step-by-step explanation:

f(x) = ln(x) {}^{4}

(ln(u)') =  \frac{u'}{u}

f'(x) =  \frac{4ln {}^{} (x) {}^{3} }{x}

f'(10) =  \frac{4ln {}^{} (10) {}^{3} }{10}  =  \frac{12ln(x)}{x}

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Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
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second equation

Step-by-step explanation:

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3 years ago
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Reil [10]

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
  5. x = 12     Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

#SPJ1

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2 years ago
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