Answer:
- The sum of the interior angles of the 15-gon
- Each interior angle of the regular polygon
Step-by-step explanation:
As we know that
In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,
The number of triangles thus formed would always 2 LESS than the number of sides.
As
- The sum of measure of the angles of any triangle is 180°.
Thus,
The sum of the interior angles of the 15-gon will be:
Also
15-gon is regular, it means this total 
is shared in equal proportion among the 15 interior angles.
And
Each interior angle of the regular polygon will be: 
Therefore, we conclude that:
- The sum of the interior angles of the 15-gon
- Each interior angle of the regular polygon
Keywords: regular polygon, 15-gon, triangle
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9514 1404 393
Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
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b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
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c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
Answer:
0.108
Step-by-step explanation:
0.66 × 0.33 × 0.5 = 0.108.
Formula: L × W × H × 1/6.
L = 4
W = 2
H = 3
4×2×3.
We then have you multiply that by 1/6.
4×1/6 = 0.66.
2×1/6 = 0.33
3×1/6 = 0.5
0.66 × 0.33 × 0.5 = 0.108.
Now, onto the correct answers.
7) (4×1/6cm) × (2×1/6cm) × (3×1/6cm)
7 is correct, because the answer is diving each number by 1/6, and multiplying them with each other.
1) 1/216 × 24
1 is correct, because the answer when the question is evaluated is around 0.108. 1/216 × 24 = 0.11111111111. It is very close to the answer. This, indeed is correct.
Answer:
2/3
Step-by-step explanation:
There are 6 marbles in the jar
4 are not purple
P(not purple) = marbles that are not purple/ total marbles
= 4/6 = 2/3
