Answer:
Part A :
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.
Part B :
P"(-1,2), Q"(0,3), R"(1,0)
Part C :
Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.
This is the graphing of the triangle.
Answer:
Interest rate is 5.25% a year.
Step-by-step explanation:
r = (1/54)((22252.5/18000) - 1) = 0.004375
r = 0.004375
Convert decimal to percentage
R = 0.004375 * 100 = 0.4375%/month
Calculate annual rate
0.4375%/month × 12 months/year = 5.25% per year.
1g is equal to 0.001kg
678g = 0.678kg
(678 x 0.001 = 0.678)
Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool

Wading pool

Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
– Volume of the community swimming pool, measured in cubic feet.
– Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:



The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Answer:
The fraction is = 
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as
.
The fraction form of the mixed number can be given as :

Let the fraction be =
[As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:

Solving for
.

Dividing both sides by 10.


So, the fraction will be = 
⇒ 