Answer:
The Volume for r is 30 square units
Step-by-step explanation:
You break apart the two shapes the smaller shape is 12 square units and the bigger shape is 18 square units you add them together and BOOM 30 square units
Answer:
The value of
is 2.
Step-by-step explanation:
The standard form of the equation of the line is of the form:

Where:
,
- Independent and dependent variable, dimensionless.
- Slope, dimensionless.
- y-intercept, dimensionless.
Given that line
is perpendicular to
, the slope is equal to:

Where
is the slope of the perpendicular line, dimensionless.
If
, then:


If
and
, the y-intercept of the line
is:


The equation of the line
is
. Given that
and
, the value of
is:



The value of
is 2.
Let g = original # of girls at the assembly.
Let w = # of boys at the assembly.
Equation of ratios:
w 3 boys
------- = ---- = --------------------------------------------
g-12 4 girls after 12 have left assembly
4w + 36
Cross-mult., 4w = 3g - 36, so 4w + 36 = 3g, and g = --------------- (answer)
4
This is "original # of girls at the assembly in terms of w, the # of boys at the assembly."