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erma4kov [3.2K]
3 years ago
15

Solve, using a picture to assist you. Round to the nearest tenth if necessary.

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

36.66 ft

Step-by-step explanation: You have to use the pythagorean theorem.         a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in :                       a^2 + 15^2 = 40^2

a^2 + 256 = 1600

a^2 = 1344

a = 36.66

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At a rate of 4% you paid $144 in interest over to year. What was the original amount of your loan
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\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$144\\
P=\textit{original amount deposited}\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
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\end{cases}
\\\\\\
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Step-by-step explanation:

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3 years ago
Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

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Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • log x⁵ + log x ¹² = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

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<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

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Rina8888 [55]

Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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