So what we know from that is that angle is 30 degrees south of west. so you go 30 degrees down from west. How can we do this? well <span>basically what you have to do is to break down the force into x and y component. The y component of large force and the y component of small force should cancel so that the boat doesn't go north and south and the x components of both the forces should add up so that it goes west only.</span>
Answer:
V = 24 m³
Step-by-step explanation:
The given question says that, 'Calculate the volume in cubic meters of a pool that is 8 m long, 2 m wide and 1.5 m deep'.
A pool is in the shape of a cubiod. The volume of the cuboid is given by :
V = lbh
Where
l is length, b is width and h is height
Put all the values,
V = 8 × 2 × 1.5
= 24 m³
So, the volume of the pool is equal to 24 m³.
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Answer:
n=2
Step-by-step explanation:
If it is parallel, it means the slope is the same. We can convert 4x-y=6 into 4x-6=y after we isolate the x. We can also convert these other equations into slope intercept form. The answers are C, D, and F.
