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Tanzania [10]
3 years ago
14

Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40° angles with the ground, how wide

, in feet, is the tent?
Mathematics
1 answer:
puteri [66]3 years ago
8 0
X = half width of tent
Tan(40) = 6/x
x = 6/Tan(40) = 7.15
2x = 14.30 feet the width of the tent
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Simplify surds √50+√√72-√√128​
34kurt

Answer:

3\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify the given radicals

\sqrt{50}

= \sqrt{25(2)}

= \sqrt{25} × \sqrt{2}

= 5\sqrt{2}

------------------------

\sqrt{72}

= \sqrt{36(2)}

= \sqrt{36} × \sqrt{2}

= 6\sqrt{2}

-----------------------

\sqrt{128}

= \sqrt{64(2)}

= \sqrt{64} × \sqrt{2}

= 8\sqrt{2}

Then

\sqrt{50} + \sqrt{72} - \sqrt{128}

= 5\sqrt{2} + 6\sqrt{2} - 8\sqrt{2}

= 11\sqrt{2} - 8\sqrt{2}

= 3\sqrt{2}

3 0
3 years ago
The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st
I am Lyosha [343]

Answer:

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻'  be a random variable in Normal distribution

Let   X⁻ = 325,000

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }  = \frac{325000-290000}{\frac{145000}{\sqrt{100} } }  = 2.413

<u><em>Step(ii):</em></u>-

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413)

                           = 0.5 - A(2.413)

                           = 0.5 - 0.4920

                           = 0.008

<u><em>Final answer:-</em></u>

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

6 0
3 years ago
A large dump truck uses 1,318 gallons of fuel in one day of work. How many gallons of fuel are needed if the truck works for 5 d
Andreyy89

Answer:

6,590 Gallons

Step-by-step explanation:

1,318 x 5 = <em>x</em>

<em>x</em> = 6,590

5 0
3 years ago
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I need help on how to solve this so anything is good :)
DanielleElmas [232]

Answer:

STUV is a square

Step-by-step explanation:

segment length² = (x-x₁)² + (y-y₁)²

ST²: (-9 - 1)2 + (14 - 10)² = (-10)² + 4² = 116   (the rest follow this formula)

TU² = 116    TV² = 232    SU² = 232   SV² = 116   UV² = 116

ST = TU =SV = UV  (4 sides congruent)

TV = SU  (diagonal equal)

This is a square

4 0
3 years ago
Need help with this question!!
Mekhanik [1.2K]

the answer is Y=3X+3

8 0
3 years ago
Read 2 more answers
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