Answer:
8+x/2 = 12
=> x/2 = 12 - 8
=> x/2 = 4
=> x = 4 * 2
=> x = 8
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The exact value is
<span>sin<span>(arccos<span>(<span>3/4</span>)</span>)</span></span>The equation for cosine is <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span>. The inside trig function is <span>arccos<span>(<span>3/4</span>)</span></span>, which means <span>cos<span>(A)</span>=<span>3/4</span></span>. Comparing <span>cos<span>(A)</span>=<span>AdjacentHypotenuse</span></span> with <span>cos<span>(A)</span>=<span>3/4</span></span>, find <span>Adjacent=3</span> and <span>Hypotenuse=4</span>. Then, using the pythagorean theorem, find <span>Opposite=<span>√7</span></span>.<span>Adjacent=3</span><span>Opposite=<span>√7</span></span><span>Hypotenuse=4</span>Substitute in the known variables for the equation <span>sin<span>(A)</span>=<span>OppositeHypotenuse</span></span>.<span>sin<span>(A)</span>=<span><span>√7</span> over 4</span></span>Simplify.<span><span>√7</span><span> over 4</span></span>
Data table for y = 5x³ - 3
Plug in the x to find the y-values.
x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
y -1083 -628 -323 -138 -43 -8 -3 2 37 132 317 622 1077
Answer:
11.55
Step-by-step explanation:
SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The angle at lower left is the complement of 60°, so is 30°. Then the side x satisfies the equation ...
tan(30°) = x/20
Multiplying by 20 gives ...
20·tan(30°) = x ≈ 11.55
Answer:
w > -14
Step-by-step explanation:
Divide both sides by -6.
-6w/-6 = w
84/-6 = 14
Since it's an equality, if the coefficient of the variable is negative, when you divide the sign flips to the opposite.