CPhill

32^(4/5)   =

[ 32^(1/5) ]^4  =

[ ⁵√32 ]^4  =

[ 2 ]^ 4  =

16     

If you decline cookies....you don't get milk....

A. magnitude

360  

36 * 10

(9 * 4) * (5 * 2)

3^2 * 2^2 * 5  * 2

3^2 * 2^3 * 5

So....the prime factors are  2, 3 and 5    !!!

I'm  assuming that you mean the base length is 64 feet

We can use the tangent inverse to find the angle of elevation....this is given by

arctan (height / half of base length)  =  angle of elevation

arctan (350 / 32) = angle of elevation ≈  84.7°

The angle of depression =  angle of elevation

B and C

10 = 5(x - 3)     divide both sides by 5

2 = x - 3    add 3 to both sides

5 = x

We need the formula for the area of a circle....it is  3.14 * radius^2

A - The diameter is 6in....so...the radius is 3in

Total area for 10 pancakes =  10 * 3.14 * 3^2  =  282.6 in ^2

B -   25 * 3.14 * 2^2  =  314 in ^2

C  =  circumference of a circle = 2 (3.14) * radius

So

6.28 = 2 (3.14) ( radius)

6.28 = 6.28 ( radius)    divide both sides by 6.28

1 = radius

So....total area =   50 * 3.14 * 1^2  =  157 in ^2

So...the rankings from best to worst based on the area   =  B  A   C

I'm assuming that B and D refer to temperatures

If so...they are not vector directions

I don't know either, Jenny....I don't know what f(x) is....so...I can't tell what  values it takes on at x = -5 and -3

Maybe someone else knows the definitive answer for this one