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cluponka [151]
2 years ago
6

Trigonometric equations 2sin(theta) + 3 = 4

Mathematics
1 answer:
max2010maxim [7]2 years ago
6 0

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve for x ~

\qquad \sf  \dashrightarrow \:2 \sin(x)  + 3 = 4

\qquad \sf  \dashrightarrow \:2 \sin(x)  = 4 - 3

\qquad \sf  \dashrightarrow \:2 \sin(x)  = 1

\qquad \sf  \dashrightarrow \:\sin(x)  =  \frac{1}{2}

\qquad \sf  \dashrightarrow \:x = 30 \degree \:  \: or \:  \:  \frac{\pi}{6}  \: rad

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

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3 years ago
Translate to an equation and solve: The sum of two-fifths and f is one-half.<br> Provide<br> f=
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Answer:

9/10

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Since these fractions have different denominators, we need to find the least common multiple of the denominators.The least common multiple of 2 and 5 is 10, so we need to multiply to make each of the denominators = 10

1/2 ∗ 5/5 = 5/10

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3 0
3 years ago
A certain article reported the following observations, listed in increasing order, on drill lifetime (number of holes that a dri
aleksklad [387]

Answer:

Sample mean =119.42

Median = 92

25% trimmed mean = 102.42

10% trimmed mean = 95.69

Step-by-step explanation:

Data in increasing order :

12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513

Total no. of observations = 50

Sample mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}

= \frac{5971}{50} = 119.42

Median: Since we have even number of observation

Median = \frac{1}{2}({25\text{th term} + 26\text{th term}) = \frac{91+93}{2} = 92

10% Trimmed Mean: We remove 5 values from each side

Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{4097}{40} = 102.42

25% Trimmed Mean: We remove 12 values from each side.

Trimmed set =  66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141

Trimmed mean =  \frac{\text{Sum of Trimmed Set}}{\text{Total number of observations}} = \frac{2488}{26} = 95.69

6 0
3 years ago
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kumpel [21]

Answer:

lol

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
5 1/4 + 2 3/4 = what is the summ
Burka [1]
5 + 2 = 7
1/4 + 3/4 = 1
7 + 1 = 8
Your answer is 8
7 0
3 years ago
Read 2 more answers
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