Answer:
Step-by-step explanation:
If the cube of y varies directly as z, then;
y³ ∝ z
y³ = kz
k is the constant of proportionality
y³ = kz
When y = 8, z = 8.
8³ = 8k
k = 8³ /8
k = 64
To get the value y when z = 64, we will have;
y³ = kz
y³ = 64(64)
y³ = 4096
y= ∛4096
y = 16
Hence the value of y is 16
Answer:
One thing that they have in common is that point A is on the same axis. Something different is that the second version is only half the size of the original.
Answer:
x = 12
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180
( note that we just created an equation that we can use to solve for x )
we now solve for x using the equation we created
10x - 11 + 3x - 2 + 3x + 1 = 180
step 1 combine like terms
10 + 3x + 3x = 16x
- 11 - 2 + 1 = -12
we now have 180 = 16x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
180 + 12 = 192
we now have 192 = 16x
step 3 divide each side by 16
16x / 16 = x
192 / 16 = 12
we're left with x = 12
Answer:
4/9
Step-by-step explanation:
The total can be found by adding all of those numbers.
42 + 75 + 189 + 301 + 728 =
117 + 189 + 301 + 728 =
306 + 301 + 728 =
607 + 728 =
1335
The total is C. 1,335.