E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72
Answer:

Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

The factorial of an integer n is evaluated as;

Using this concept, the above expression can now be simplified as follows;

Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression,
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;

Answer:
(4,0)
Step-by-step explanation:
we have
----> inequality A
----> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
Verify each ordered pair
case 1) (4,0)
<em>Inequality A</em>
----> is true
<em>Inequality B</em>

----> is true
so
the ordered pair makes both inequalities true
case 2) (1,2)
<em>Inequality A</em>
----> is not true
so
the ordered pair not makes both inequalities true
case 3) (0,4)
<em>Inequality A</em>
----> is not true
so
the ordered pair not makes both inequalities true
case 4) (2,1)
<em>Inequality A</em>
----> is true
<em>Inequality B</em>

----> is not true
so
the ordered pair not makes both inequalities true
The correct answer is D. 100%
Each tick counts as 8 so the beginning of the plot would be at 28 which is only 2 from 30 and everything else is on the plot is greater than 30 so the answer would have to be D since 75% would be too little coverage of the plot
Step-by-step explanation:
parallel means same slope/gradient
2y = 3x + 10
y = 1.5x + 5
let equation be y = 1.5x + b
sub (2, -5)
-5 = 1.5(2) + b
b = -8
therefore y = 1.5x - 8
Topic: Coordinate Geometry
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