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olya-2409 [2.1K]
3 years ago
15

A handyman knows from experience that his 29-foot ladder rests in its most stable position when the distance of its base from a

wall is 1 foot farther than the height it reaches up the wall.
Mathematics
2 answers:
Reika [66]3 years ago
7 0

The answer is a2+b2=c21 foot29 feet12+292=c2842−−−√=c The unknown length (which I'm assuming is the length against the wall) is 29.02 feet.

Leya [2.2K]3 years ago
3 0
<span><span>a2</span>+<span>b2</span>=<span>c2</span></span> <span>1 foot29 feet</span> <span><span>12</span>+<span>292</span>=<span>c2</span></span> <span><span>842<span>−−−</span>√</span>=c</span><span> The unknown length (which I'm assuming is the length against the wall) is 29.02 feet.</span>
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Answer:

10.5 in

Step-by-step explanation:

Given

tan(55) = \frac{15}{b}

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

tan(55) = \frac{15}{b}

b * tan(55) = \frac{15}{b} * b

b * tan(55) =15

Divide both sides by tan(55)

\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}

b = \frac{15}{tan(55)}

Find tan(55)

b = \frac{15}{1.42814800674}

b = 10.5031130731

b = 10.5  <em>(Approximated)</em>

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Length AC is 10.5

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4 years ago
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The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is
saul85 [17]

Solution :

Given :

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a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

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   α = 0.05, α/2 = 0.025

  From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

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 95% confidence interval is  (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.  

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3 years ago
X-5y= -40<br> 18x - 5y = 45<br> What is the answer to this
baherus [9]

Answer:

(5, 9)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

x - 5y = -40

18x - 5y = 45

<u>Step 2: Rewrite Systems</u>

18x - 5y = 45

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<u>Step 3: Redefine Systems</u>

x - 5y = -40

-18x + 5y = -45

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    -17x = -85
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<u>Step 5: Solve for </u><em><u>y</u></em>

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  3. Isolate <em>y</em> term:                        -5y = -45
  4. Isolate <em>y</em>:                                 y = 9
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Answer:

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Step-by-step explanation:

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