Note that this a right-angled triangle with the right angle at Y.
<span>Use coordinates of the point to find XY and YZ </span>
<span>XY = 21 - (-3) </span>
<span>= 24 </span>
<span>YZ = 4 - (-6) </span>
<span>= 10 </span>
<span>Use Pythagoras theorem to XZ </span>
<span>XZ = sqrt[24^2 + 10^2] </span>
<span>= 26 </span>
<span>Perimeter = 26 + 24 + 10 </span>
<span>= 60</span>
<h3>Answer: 7366.96 dollars</h3>
========================================================
Use the compound interest formula:
A = P(1+r/n)^(n*t)
where in this case,
A = 12000 = amount after t years
P = unknown = deposited amount we want to solve for
r = 0.05 = the decimal form of 5% interest
n = 1 = refers to the compounding frequency (annual)
t = 10 = number of years
-------
Plug all these values into the equation, then solve for P
A = P(1+r/n)^(n*t)
12000 = P(1+0.05/1)^(1*10)
12000 = P(1.05)^(10)
12000 = P(1.62889462677744)
12000 = 1.62889462677744P
1.62889462677744P = 12000
P = 12000/1.62889462677744
P = 7366.95904248911
P = 7366.96
Answer:
1. 19(25x2)
Step-by-step explanation:
19 x 25 = 475
475 x 2 = 950
Answer:
14%
Step-by-step explanation:
1. The formula to find percent change is
. Now, all we have to do is plug in the values to their corresponding variable.
2. (Solving)
- 14%
Answer:
°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.


One can shorten the equation so it only holds the parts that will play a role in solving this equation,

Now take the cross product in this equation to simplify it further,


Inverse operations, solve this equation for (x),




