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Gre4nikov [31]
3 years ago
10

Find the missing length . Leave your answers in simplest radical form

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

A^2 + B^2 = C^2

x^2 + 9^2 = (SQRT 226)^2

x^2 + 81 = 226

x^2 = 145

x = SQRT 145

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Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
Y_Kistochka [10]

Answer:

Difference between the distances traveled by Mary and Kate = 226 feet

Step-by-step explanation:

By applying Pythagoras theorem in right ΔDEF,

(DE)² + (EF)² = (DF)²

By substituting DE = 264 feet and EF = 900 feet

(264)² + (900)² = (DF)²

DF = √(69696+810000)

     = √879696

     = 937.92

Distance traveled by Kate diagonally = 938 feet

Distance traveled by Mary = DE + EF

                                            = 264 + 900

                                            = 1164 feet

Difference between the distances traveled by Mary and Kate = DF - (DE + EF)

= 1164 - 937.92

= 226.07

≈ 226 feet

3 0
3 years ago
Convert 8^12 = 3x - 5 to corresponding logarithmic function.
julia-pushkina [17]

Answer:

Step-by-step explanation:

8^{12}=3x-5\quad :\quad x=\frac{8^{12}+5}{3}\quad \left(\mathrm{Decimal}:\quad x=22906492247\right)

8^{12}=3x-5\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=8^{12}+5\\Simplify\\\mathrm{Divide\:both\:sides\:by\:} 3\\\frac{3x}{3}=\frac{8^{12}}{3}+\frac{5}{3}\\\mathrm{Simplify}\\x=\frac{8^{12}+5}{3}

6 0
3 years ago
Read 2 more answers
2.7 is greater than equal to b + 5? Solve
Semenov [28]
The answer:   - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ." 
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Explanation:
_________________
Assuming we have:
_______________________
2.7 is greater than <u><em>or</em></u> equal to "(b + 5)"; 
_______________________________
We would write:
_________________
→ 2.7 ≥  b + 5  ;
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→ Subtract "5" from EACH side:
_________________
→ 2.7 − 5  ≥  b + 5 − 5

→ - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
____________________
7 0
3 years ago
Use special right triangles.<br> Find the exact value of x and y.<br> 18<br> 30°<br> X = ?<br> y = ?
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Answer:

Step-by-step explanation:

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1. 15-x
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