the norm of the distance is |d|=97.95 ft
the vector of the distance is d=96i+18j+27k
- Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
- an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.
- Step-by-step explanation:
- As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
- Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.
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We have 60 gallons of 20% antifreeze.
How much 70% antifreeze do we add to get 60% antifreeze?
We'll make "x" the gallons of 70% we must add.
.20 * 60 + .70 x = .60 * (60 + x)
12 + .70x = 36 + .60x
.10x = 24
x = 240 gallons of 70% antifreeze.
Source
1728.com/mixture.htm (see example B)
Step-by-step explanation:
q=r+rst
Rewrite the equation as
r+rst=q
Subtract r from both sides of the equation.
r st=q−r
Divide each term by rt
(r st )/rt=(q/rt)−(r/rt)
Cancel the common factor.
(
s=(q/rt)−1/t
Answer:
hope it help you
Step-by-step explanation:
Suppose :
2^x = t ..**&**.. 3^y = u
_____________________________
t + u = 9 × 3 3t + 3u = 27
=====》
2t - 3u = 8 2t - 3u = 8
+ __________
5t = 35
5 × t = 5 × 7
t = 7
&
u = 2
________________________________
Thus :
2^x = 7 ===》 x = Log _ 2 { 7 }
3^y = 2 ===》 y = Log _ 3 { 2 }
