Answer:
<u>We observe that this is a GP with:</u>
- the first term t₁ = 5
- common ratio r = -2
<u>The nth term is:</u>
By the use of the completing the square method, the maximum height of the path of the water 3 ±√29/4 + 9 m.
What is called distance?
- Distance is a numerical measurement of how far apart objects or points are.
- The distance between two points is the length of the path connecting them.
- In everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over").
- The distance from a point A to a point B is sometimes denoted as. .
h = -4x² +24x -29
Now we have;
0 = -4x² +24x -29
-4x² +24x -29= 0
x² - 6x = -29/4
(x - 3)² = -29/4 + 3²
(x - 3)² = -29/4 + 9
x = 3 ±√29/4 + 9 m
Therefore, the maximum height of the path of the water x = 3 ±√29/4 + 9 m
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Answer:
x ≤ 6
Step-by-step explanation:
Distribute the 5 onto (x-2), then combine like terms.
5x -10 -3x ≤ 2
2x - 10 ≤ 2
Add 10 to both sides to get rid of the 10 on the left.
2x - 10 + 10 ≤ 2 + 10
2x ≤ 12
Divide 12 by 2.
x ≤ 6
x ≤ 6 will be your answer/solution.
Area of circle= πr² so, our radius would be 5in because the diameter is 10 in which makes our sum to be π×5²= 78.5 in
Circumference of circle= 2πr so, 2×5×π= 31.4 in
<span>The sum of the interior angles of any regular polygon is (n - 2) X 180
30 = n
</span><span>[(30) - 2] × 180
</span>28 X 180
5040
<span>The interior angle of a regular polygon = the sum of interior angles ÷ number of sides</span>
5040 <span>÷ 30 = 168</span>
Therefore the measure of each interior angle in a regular 30-sided polygon is 168°
