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Leokris [45]
3 years ago
9

Special right triangle

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

6) taking 45 degrees as the reference angle,

the adjacent side is √6

The opposite side is x

The hypotenuse is y

Therefore, we would apply trigonometric ratio.

Tan # = opposite side / adjacent side

Tan 45 = x/√6

1 = x/√6

x = 1 × √6 = √6

Cos # = adjacent side/hypotenuse

Cos 45 = √6/y

Cos 45 expressed in surd form is √2/2. Therefore,

√2/2 = √6/y

y √2 = 2√6

y = (2√6)/√2

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Alexus [3.1K]
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
6 0
3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Fudgin [204]

Answer:

The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.

0 = − 4.9t^2 + 178t + 325

t = 38.07, -1.74

(Throw away the negative answer, since time can't be negative.)

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4 0
2 years ago
The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
Over [174]
\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
Read 2 more answers
981 rounded to nearest 100
sergey [27]

Answer: 1000

Step-by-step explanation:

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Hundred tens one

The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.

The number of the place before the hundreds place is [8] on the tens place.

  • When numbers are greater than or equal to 5, you round up a digit.
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[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.

<h2>So, the final number will be 1000</h2>
6 0
3 years ago
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Brut [27]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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