Solution:
<u>Note that:</u>
- Given angles: w + 8° and 48°
- w + 8 + 48 = 180
<u>Solve for w in the equation "w + 8 + 48 = 180".</u>
- => w + 8 + 48 = 180
- => 56 + w = 180
- => w = 180 - 56
- => w = 124°
The value of w is 124.
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:
x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11
The correct result would be x = - 1, or x = - 11.
The average rate of change of credit card is $ 401.79 /year.
<h3>
What is Average Rate?</h3>
- A single rate that is a weighted average of the different rates that are applicable to property in various locations.
- An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).
<u>Solution</u>
The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625
The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14
average rate of change of credit card debt with respect to time = 
average rate =
= $ 401.79 / year
know more about average numerical brainly.com/question/18296887
#SPJ4
3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅<span>)
Opening brackets on the right hand side;
= sin2</span>∅ cos ∅ + cos2∅sin<span>∅
</span><span>This simplifies to;
= 2sin</span>∅cos^2∅ + sin∅ (1- 2sin^2∅<span>)
= sin</span>∅ (2cos^2∅ + 1 - 2sin^2∅<span>)
= sin</span>∅ (2(1 - sin^2∅) +1-2sin^2∅<span>)
= 3sin</span>∅ - 4sin^3<span>∅</span>