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melamori03 [73]
2 years ago
14

Solve the right triangle. Round your answers to the nearest tenth.

Mathematics
2 answers:
katen-ka-za [31]2 years ago
8 0

Answer: A= 42 degrees

Step-by-step explanation:

A= 180-90-48=42 (degrees)

Elanso [62]2 years ago
8 0

Answer:

A= 42 degrees

a = 27

c= 40.4

Step-by-step explanation:

48 - 90 = 42 (we know the remaining angle area is 90 because its a right triangle and a traingle is 180 degrees)

to find the answer of a we need to use tan(48) and when you convert that to radians you get 1.1106 ish tan is opposite over adjacent and we know the opposite is 30 but we dont know a so we put \frac{30}{a} = 1.1106 and put a on both sides so you divide 30 by 1.1106 and dget 27.0124 and round to the nearest tenth to get 27

to find c you need to find the hypotanuse which is a^{2}+b^{2} =c^{2}

30 squared is 900 add that to 27 squared which is 729 and you get 1629

find the square root of 1629 to get 40.3608 and then round that to the nearest tentth to get 40.4

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48 orders

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equation: (12(10)-28)/2=x

3 0
3 years ago
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4 0
3 years ago
What is the total depreciation (at 10% rate) on a blower purchased 3 years ago for $499?
GrogVix [38]

\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &499\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=499(1-0.10)^3\implies A=499(0.9)^3\implies A=363.771 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{total depreciation 499 - 363.771}}{135.229}~\hfill

6 0
3 years ago
The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long
Solnce55 [7]

Answer:

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Step-by-step explanation:

we know that

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Let

x ------> new battery life

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x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours

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3 years ago
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Anna35 [415]

Answer:

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Step-by-step explanation:

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Polynomial R(x) can be factored into the product of two binomials.

According to the problem, the average number of customers per week is 30 people. For every $5 decrease in the price per pair of shoes over $75, the number of customers increases by an average of 5 people. The number of $5 decreases in pair of shoes price is represented by x, so 5x represents the total increase in the average number of customers per week due to decreases in the price per pair of shoes.

Therefore, the binomial (30 + 5x) represents the average number of customers per week, including the change due to price decreases.

8 0
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