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GenaCL600 [577]
2 years ago
15

In a​ volcano, erupting lava flows continuously through a tube system about 11 kilometers to the sea. Assume a lava flow speed o

f 0.5 kilometer per hour and calculate how long it takes to reach the sea.
Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

22 hours

Step-by-step explanation:

0.5 km in 1 hr

1 km in 2 hr

11 km in 22 hr

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If f(x) = -(x - 1) then does f(-2)=3?​
Aneli [31]

Answer:

Yes thats correct

Step-by-step explanation:

5 0
2 years ago
Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total? G
Nady [450]

Answer: He earned 0.831% interest in total.

Step-by-step explanation:

Given: Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment.

Interest per day = $2.77

Interest in 3 days = 3 x ($2.77)

= $8.31

Invested amount= $1000

Required percentage of earnings = \dfrac{\text{Interest earned in 3 days}}{\text{Initial investment}}\times100

=\dfrac{8.31}{1000}\times100=0.831\%

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7 0
3 years ago
Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located
arsen [322]
Check the picture below.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------

\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~  cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~  tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}

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3 years ago
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podryga [215]
14 feet long. ............
6 0
2 years ago
6.<br> Write in exponential form: log(3)81 = 4
earnstyle [38]

Answer:

81 =  {3}^{4}

Step-by-step explanation:

log_{3}(81)  = 4 \\  \\ 81 =  {3}^{4}

4 0
3 years ago
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