-2/9 x 4/9 is -8
so the answer is -2/9
9514 1404 393
Answer:
cot(θ) = 4/5
Step-by-step explanation:
In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...
(x, y) = (r·cos(θ), r·sin(θ))
From the various trig definitions and identities, we also know that ...
cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y
For the given (x, y) = (-4, -5), the cotangent is ...
cot(θ) = -4/-5 = 4/5
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is
Step-by-step explanation:
The standard form of equation is
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
Now, standard form of equation will be:
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is
Answer:
The amount of cardboard Digit Tech needs to
package all 1500 new Smart Phones = 891000 square cm
Step-by-step explanation:
Points to remember:-
<u>Surface area of cuboid</u>
Surface area = 2(lb + bh + lh)
Where, l - Length of cuboid
b - Breadth of cuboid and
h - Height of cuboid
It is given dimensions of cardboard box
12 cm long, 9 cm wide, and 9 cm high.
<u>To find the surface area of box</u>
Here l = 12 cm, b = 9 cm and h = 9 cm
Surface area = 2(lb + bh + lh) = 2[(9*12) + (9*9) + (12 * 9)]
= 2(108 + 81 + 108) = 2 * 297 = 594 square cm
To find the cardboard required for 1500 box
Total cardboard = 1500 * 594 = 891000 square cm
Answer:
Step-by-step explanation:
We are given that a variable force of magnitude F(x) moves a body along the x- axis from to .
The net work done by the force in moving the body from to .
=Velocity of the body at
Velocity of the body at
We know that
Work done=Final kinetic energy-Initial kinetic energy
K.E=
Hence, the net work done by the force is given by