Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles XYT and X'Y'T are similar by AA Similarity Theorem
so
substitute the given values
To calculate the number of years that the population of the town had been growing we proceed as follows;
A=p(1+r/100)^n
where;
A=final population
p=initial population
n=time
r=rate;
thus, substituting the values in the above formula we get:
28000=20000(1+15/100)^n
1.4=(1+0.15)^n
1.4=1.15^n
introducing natural logs we get:
ln1.4=nln1.15
n=(ln1.4)/(ln1.15)
n=2.4
thus;
n=2.4 years
3( 2x + 5 )
You can't take x out and you can't take 6 out, 15 doesn't have x and 6 doesn't go into 15, but 3 can go into both 6 and 15 so take out 3. you cannot go any farther.
9514 1404 393
Answer:
(d) $775.50
Step-by-step explanation:
The parallelogram on the left has an area of ...
A = bh = (4 yd)(2 yd) = 8 yd²
The rectangle in the middle has an area of ...
A = lw = (6 yd)(4 yd) = 24 yd²
The triangle on the right has an area of ...
A = 1/2bh = 1/2(1 yd)(2 yd) = 1 yd²
The total area of the carpet is ...
(8 + 24 + 1) yd² = 33 yd²
__
At $23.50 per square yard, the cost is ...
($23.50/yd²)(33 yd²) = $775.50 . . . . . matches the last choice
Multiply 45 and $1.65 then you get $74.25
Now subtract $100 and $74.25 to get the the amount of change
ANSWER IS $25.75