Step-by-step explanation:
the ratio of the pool lengths is 3/5.
that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.
it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.
x = length of Juan's pool
x × 3/5 = 30
3x = 150
x = 50 meters
you see the relationship ?
3/5 = 30/50 = 300/500 = ...
but it is true for any factor
3/5 = 15/25 = 24/40 = 6/10 = ...
once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.
5/1, 15/3, and 10/2 are all valid answers to that question.
Answer:
51.39 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of base × height
Here area of base = 5.71 and height = 9, thus
V = 5.71 × 9 = 51.39 units³
Answer:
0.124
Step-by-step explanation:
To divide the numbers, we need to remove the decimal point
To remove decimal point , we multiply top and bottom by 100
Use long division. After using decimal point at the top we can include any number of zeros with 719
. 1 2 3 9
---------------------
5800 7190
5800
------------------------(subtract)
13900
11600
---------------------------(subtract)
2300 0
1740 0
--------------------------(subtract)
56000
52200
---------------------------(subtract)
3800 0
Division goes on ............
Estimate the quotient to 3 decimal places
Quotient = 0.124
Answer:
It should be congruent by the AAS congruence theorem
Step-by-step explanation:
The error is in the congruence theorem.
We know that the 2 angles are congruent and one of the sides are congruent. This means that it can either be congruent by ASA or AAS.
It is actually congruent by AAS because it include two angles and the side is opposite of one of the angles.
