Answer:
So base on the question that describe the Amanda's jewelry box that is in shape of a cube and has a measurement of 6 inch on on its edge, to calculate the volume of the said cube, you must multiply the said number to the power of 3 and with that, the volume would be 216 cubic inches
<u>hope this helps</u>
<u></u>
Answer:
V = 11
Step-by-step explanation:
All you have to do here is to multiply both sides of this equation by 13. This will eliminate the fractions. You'll be left with V = 11.
Implicit differentiation
take derivitive of both sides
1=15y^2dy/dx-12ydy/dx
1=dy/dx(15y^2-12y)
divide both sides by (15y^2-12y)
1/(15y^2-12y)=dy/dx
sub the point (-4,1)
1/(15(1)^2-12(1))=dy/dx
1/(15-12)=dy/dx
1/3=dy/dx
slope is 1/3
Answer:
y ≈ 240.3 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...
Tan = Opposite/Adjacent
In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...
tan(31°) = y/(400 ft)
Multiplying by 400 ft gives ...
y = (400 ft)·tan(31°) ≈ 240.3 ft
_____
The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.
In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).
Normalize 
by dividing by its magnitude:
Multiply by -1 to reverse its direction, and again by 
to ensure this new vector has the magnitude we want. Notice that 
.
