Answer:
The 1st choice
Step-by-step explanation:
Let a point is defined as P(a,b).
If a>0, then point is a units right from origin and if a<0, then then point is a units left from origin.
If b>0, then point is b units up from origin and if b<0, then then point is b units down from origin.
It is given that the location of the movie theater is at (2, −3).
In the given point a=2>0 and b=-3<0.
A coordinate grid with a point at 2 units to the right and 3 units down from the origin labeled movie theater.
In <span>equilateral triangle all sides are equal =x,
from right triangle that is formed by </span>apothem , height 7*3= 21
hypotenuse /opposite leg = sin angle,
hypotenuse is a side of triangle =x, opposite leg is apotheme =21,
angle in equilateral triangle =60⁰
21/x= sin 60, x*sin60=21, x=21/sin60, x=21/(√3/2), x=42/√3
Area of triangle =1/2 x*x*sin angle
Area of triangle =1/2 *42/√3*42/√3*sin 60=1/2*(42²/3)*(√3/2) ≈ 255 cm²
this is just second way to do this problem, that I did at first (either way is correct)
<span> apothem divides one side by half,
so we get small right triangle with sides x hypotenuse, x/2 is one leg , and 21 is another leg
</span>by Pythagorean theorem
x²=(x/2)² +21²
x²-x²/4=441
3x²/4=441
3x²=441*4=1764
x²=1764/3
x=42/√3
Area of triangle =1/2*base *height =1/2*42/√3 *21≈255 cm²
The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.
<h3>What equation represents the value of the collection?</h3>
When the value of an asset appreciates,it means that the price of the item increases with the passage of time.
The formula for calculating future value with appreciation is:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
V = 140(1 + 0.15)^2.
To learn more about future value, please check: brainly.com/question/18760477
15% of 15% of 15% of 500 is 1.6875. 45% of 500 is 225. The difference between both numbers is that 225 is much larger than 1.6875. In fact 225, is 133 1/3 times larger than 1.6875. The more you repeated 15% of a number, the smaller it got, compared to 45% of the number, where it was larger than that number you kept reducing by percentages.