Answer:
In both cases, we have similar figures.
This means that the shape of the figures is the same, but the size is different:
PQST is similar to STNR and to NRPQ
VUYZ is similar to YZWX and to VUWX
this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.
With this in mind, we can solve the problem:
18)
ST = 7.5
NR = 5.5
Then the quotient ST/NR is:
ST/NR = 7.5/5.5
And, as we said above:
PQ/ST = ST/NR
PQ/7.5 = 7.5/5.5
PQ = (7.5/5.5)*7.5 = 10.23
19) Here we should have:
YZ/VU = WX/YZ
Then:
22.9/35 = WX/22.9
(22.9/35)*22.9 = WX = 14.98
Answer:
Sum = 
Step-by-step explanation:
The given geometric sequence is:
The first term of the sequence is 
The common ratio of the sequence is:
There are 5 terms in total in the given sequence so n = 5
The formula to calculate the sum of finite geometric sequence is:
Using the given values, we get:
Therefore, the sum of given geometric sequence is
The equation is asking you to multiply.
= 4 * -7
= -28
Hope This Helped! Good Luck!
Answer:
<em />
- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer
