Answer:
V = 3
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Perimeter of the pentagon is 52 units.</em>
<em>Solve for value of v.</em>
<u>Solve:</u>
<em>Let first put it into a equation base on the given;</em>
<em>6v + 8 + 8 + 3v + 1 + v + 5 = 52</em>
<em>Add the numbers</em>
<em>6v + 22 + 3v + v = 52</em>
<em>Combine like terms</em>
<em>10v + 22 = 52</em>
<em>Subtract 22 from both sides</em>
<em>10v + 22 - 22 = 52 - 22</em>
<em>Simplify</em>
<em>10v = 30</em>
<em>Divide both sides by 10</em>
<em>10v/10 = 30/10</em>
<em>Simplify</em>
<em>v = 3 </em>
<em>Check Answer:</em>
<em>6(3) + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 16 + 9 + 1 + 8</em>
<em>18 + 16 + 9 + 9</em>
<em>18 + 16 + 18</em>
<em>36 + 16</em>
<em>52</em>
<em>Hence, v = 3</em>
For more information:
brainly.com/question/18640399
<u><em>Kavinsky</em></u>
Answer:
The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072
Step-by-step explanation:
In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:
p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124
We now need to calculate the probability that one child learns to swim before 6 years of age.
p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)
p(1) = 3.744*0.01634
p(1) = 0.0612
The probability of 1 or less children from that group to learn how to swim before 6 years of age is:
p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>
Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:
(x - h) = [1 / (4 · p)] · (y - k)² (1)
Where:
- (h, k) - Coordinates of the vertex.
- p - Distance from the vertex to the focus.
The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:
x = 2 · y² (1)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
To learn more on parabolae: brainly.com/question/4074088
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Answer:
x = 18 and x=0
Step-by-step explanation:
Answer:
18.174x
Step-by-step explanation: