Answer:
In triangle AB, A and B are acute angles so. AC and BC are right angles.
Sin A = 10/13
13 is the hypotenuse side and 10 is the opposite side.
To find cos A.
From pythagorean theorem:
Step-by-step explanation:
Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given

Solving (a): The vertex
For an equation written in

The vertex is:

By comparison:
and 

So, the vertex is:

Solving (b): The axis of symmetry
For an equation written in

The axis of symmetry is:
x = h
In (a):

So:

Answer:
volume = length^3
3375= length^3
therefore length = 15 units
Diana's age=21 years
Carmen's age=x years
Andrew's age=2x years
21+x+2x=45
21+3x=45
3x=45-21
3x=24
x=24/3
x=8
2x8=16
Carmen is 8 years old and Andrew is 16 years old. Hoped that helps:)
<span>Let's say you wanted to earn a yield of 8%.
$210,000 x .31524 = $66, 200.4
+$10,500 x 8.55948 = $89, 874.54
Use the tables to find .31524 (which is 8% @ 15 periods for present value of 1) and 8.55948 (which is 8% @ 15 periods for present value of an ordinary annuity of 1)
You would pay a total of $156, 074.94</span>