Answer:
x=12
Step-by-step explanation:
5x+4+64+52=180
We move all terms to the left:
5x+4+64+52-(180)=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12
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>
10 divided by 2 minus 1 equals 4
Answer:
#1: -1.5, -0.5, 1/2, 1.5
#2: -3, -1, 1.2, 2.3
Step-by-step explanation:
#1
First we have to figure out the correct order before we plot.
Find the biggest number:
looking at the number the biggest would be 1.5
Find the smallest number:
Looking at the number the smallest would be -1.5
Now that we have that we can easily figure out the rest...
(Going from least to greatest; like on a number line)
-1.5, -0.5, 1/2, 1.5 (That is how you will place the first one)
#2
(Use the steps from above to find the answer)
Biggest: 2.3
Smallest: -3
Order: -3, -1, 1.2, 2.3 (Placing on number line use that order)
Hope this helps :)