Answer:
The correct answer is option 3.
Step-by-step explanation:
Given : ΔPQR, QM is altitude of the triangle
PM = 8
MR = 18
To find = QM
Solution :
PR = 8 + 18 = 26
Let, PQ = x , QR = y, QM = z
Applying Pythagoras Theorem in ΔPQR

..[1]
Applying Pythagoras Theorem in ΔPQM

..[2]
Applying Pythagoras Theorem in ΔQMR

..[3]
Putting values of
and
from [2] and [3 in [1].




z = ±12
z = 12 = QM ( ignoring negative value)
The length of QM is 12.
Answer:
Step-by-step explanation:
y = 3x -6
x = -2, y = -12
x = -1, y = -9
x = 0, y = -6
x = 1, y = -3
x = 2, y = 0
x= 3, y = 3
x -2 -1 0 1 2 3
y -12 -9 -6 -3 0 3
Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
Answer:
The number of bacteria after
will be 
Step-by-step explanation:
Given the initially 30 bacteria present in the culture.
Also, the number of bacteria got doubled every hour.
So, using the equation

Where
is number of bacteria after
hours.
is bacteria present initially.
is the common ration, in our problem it is given that bacteria doubles every hour. So, 
And
is the number of hours. In our problem we need amount of bacteria at the end of
hours. So, 
Plugging values in the formula we get,

So, number of bacteria after
will be 
Answer:
3
Step-by-step explanation: