Answer:
Population density = 
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H is Hypotenuse, B is base and P is perpendicular

Area of triangle is given by :


Hence, the population density is
.
Answer = 36.0 mph
As per the question,
Actual speed of the car = 40 mph.
Speedometer has a percent error of 10%.
The error can be negative as well as positive.
If the error is negative, it means speedometer is showing less speed than actual speed= - 10%
10 % of 40 = 4
speed shown by speedometer = 40 - (10% of 40) = 36 mph
If the error is positive, it means speedometer is showing more speed than actual speed = +10%
speed shown by speedometer = 40 + ( 10% of 40) = 44 mph
as per the given options, correct option is 36.0 mph
2?? I’m pretty sure
Sorry if it’s wrong
Answer:
A and D represent linear functions
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>