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guajiro [1.7K]
4 years ago
7

Evaluate the 1/3 of 10.2​

Mathematics
1 answer:
Sav [38]4 years ago
6 0

Answer:

3.4

Step-by-step explanation:

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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}}

3 0
3 years ago
Which statement describes f(x)=
VARVARA [1.3K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Barb exercise for 14 hours in 1 week how many hour does she exercise in 32 weeks
Blizzard [7]
14 times 1 = 14

14 times 32 = 448

Barb exercised for 448 hours in 32 weeks.
8 0
4 years ago
How many ways are there to put 5 balls in 3 boxes if the balls are not distinguishable but the boxes are
Darina [25.2K]

Answer: 5

Here are some ways:

  • 1 ball, 2 balls, 2 balls
  • 2 balls, 1 ball, 2 balls
  • 3 balls, 1 ball, 1 ball
  • 1 ball, 3 balls, 1 ball
  • 1 ball, 1 ball, 3 balls

Hope this helps!

8 0
3 years ago
Read 2 more answers
16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips
kykrilka [37]

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

<em>Additional comment</em>

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

6 0
2 years ago
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