Answer:
$544.73
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula:
- A is final amount
- P is principle amount
- r is rate
- t is time
Step-by-step explanation:
<u>Step 1: Define</u>
A = 960
r = 0.12
t = 5
<u>Step 2: Solve for </u><em><u>P</u></em>
- Substitute in variables [Simple Interest Rate Formula]:
- [Interest] (Parenthesis) Add:
- [Interest] Evaluate exponents:
- [Interest] [Division Property of Equality] Isolate <em>P</em>:
- [Interest] Rewrite:
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
Answer:
Step-by-step explanation:
we know that
If a diameter of a circle is perpendicular to a chord, then it bisects the chord
In this problem
AB is a diameter of circle C
The chord DE is perpendicular to the diameter AB
so
AB bisects the chord DE
That means
FD=FE
we have
therefore
For this we start by putting km into cm
53.23 x 100,000 = 5,323,000
Now we divide by 53 to see the total number of revolutions
5,323,000 / 53 = 100,433.962 revolutiona