Easy
the easiest way is to imagine that you have a rectangle with a corner cut off
the area of the figure=area of rectangle-area cut off
area that was cut off was a triangle
area of rectangle=length times width
area of triangle=1/2base times height
so we draw imaginary lines like in attachment
find area of rectangle
legnth=9 inch
width=9 inch
area=9 times 9=81 in^2
triangle
the top part is ?+5=9, so the base of triangle=4
the side is ?+4=9, so the base is 5
area=1/2 times 4 times 5=10 in^2
area=rectangle-triangle
area=81-10=71 in^2
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
Answer:the term of the loan is approximately 4 months
Step-by-step explanation:
The term of the loan means the period for which the loan was given.
We would apply the formula for simple interest which is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
P = 17500
R = 6.5%
I = total amount paid - principal
I = 17,873.97 - 17,500.00 = 373.97
Therefore
373.97 = (17500 × 6.5 × T)/100
373.97 = 1137.5T
T = 373.97/1137.5
T = 0.32 years
Converting to months, it becomes
0.32 × 12 = 3.84
Approximately 4 months.
Answer:
this may help you.look it once
Slope-intercept form is

, where m is the slope and b is the y-intercept.
Here, we first need to distribute the 1/3.

Next, we add 3 to both sides of the equation.