Answer:
D
Step-by-step explanation:
a substance made by mixing other substances together.
The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
In this sequence, we're given the first term, which is 45.
The difference between each term is -3, which means 3 will be subtracted in each term.
We're asked to find the value of the tenth term, and we can do so by using this formula:
a(n) = a(1) + d(n - 1)
Replace values.
a(10) = 45 + -3(9)
a(10) = 18
<h3>The value of the tenth term is 18.</h3>
Answer:
In order of least money saved to most money saved: Katrina, Susan, Gabrielle, Savanna
Step-by-step explanation:
You can first change all of them to either percentages or fractions with the same denominator. I chose to use percentages. Thus Savanna's percentage of money saved would be 90%, Katrina would've saved 80% and Susan would've saved around 83%.
From here you just order from least to greatest.
Answer:
≈ 13.98%
Step-by-step explanation:
As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.
4963/5769=0.8602
Then you multiply it by 100 to transform it into percentage
0.8602*100=86.02%
Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease
100% - 86.02% = 13.98%
Also you can say that is approximately 14%
