Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1
Answer:
-1/4 meter per minute
Step-by-step explanation:
Since, the volume of a cube,

Where, r is the edge of the cube,
Differentiating with respect to t ( time )

Given, 
Also, V = 8 ⇒ r = ∛8 = 2,
By substituting the values,



Hence, the rate of change of an edge is -1/4 meter per minute.
Answer:
It should be A.
Step-by-step explanation:
When you're using exponents, anything that has an exponent of 0 will be 1.
You can use a calculator to confirm on your own.
Answer:
its not showing up
Step-by-step explanation: