Answer:
1/5
Step-by-step explanation:
y = kx where k is the constant of proportionality
6 = k 30
Divide each side by 30
6/30 = k 30/30
1/5 = k
The constant is 1/5
Answer:
See Explanation and Attachment
Step-by-step explanation:
Your question is incomplete as the diagram of the polygon is not attached.
However, I'll give a general guide to calculate the area of a regular polygon.
If you apply these steps, you'll be able to solve your question.
The area of a regular polygon is calculated this.
Area = ½ap
Where a represents the apothem of the polygon and p represents the perimeter of the polygon.
The term "apothem" means the distance between the centre of the polygon and the base of the polygon.
Take for instance, the attachment below.
The polygon is a regular hexagon (it has 6 sides)
The apothem, a = 8.2 ft
The perimeter, p = The sum of all sides of the hexagon
p = (7.6 + 7.6 + 7.6 + 7.6 + 7.6 + 7.6)ft
p = 45.6 ft
Hence, the area of the polygon
A = ½ap becomes
A = ½ * 8.2 * 45.6
A = ½ * 373.92
A = 186.96ft²
<h3><u>Solution:- </u></h3>
Let the number to be added be A
Now,

Transposing (−5x³+ 4x − 3 ) to other side-

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

Putting like terms together -


Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1
Answer:
$2268
Step-by-step explanation:
Luna's total mortgage payments for the year would be
... (monthly payment)×(number of months in a year)
... = $2100×12 = $25,200
Of that, 9% went to interest, so the interest amount is ...
... $25,200×9% = $2268
_____
<em>About percentages</em>
Your calculator may do percentages directly. If not, it can be helpful to realize that the percent symbol (%) means the same thing as /100 (divided by 100). So, 9% = 9/100 = 0.09