An arch is in the shape of a parabola. It has a span of 108 feet and a maximum height of 6 feet.
1 answer:
The Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
<h3>Equation for parabola</h3>Using this equation to find the equation for parabola
y=a(x-54) (x+54)
y(0)=a(-54) (54)=6
-2916a=6
Divide both side by y6a
a=-2916/6
a=-486
Equation for parabola
y=-1/486 x² +6
Height of the arc 5 feet
When x=5
y=-25/486+6
y=2891/486
=5 461/486 feet
Therefore the Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
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The answers to the given questions on the survey of students by the use of a Venn Diagram are;
A) Venn diagram attached
B) 57 Students
C) 811 Students
D) 785 Students
E) 67 Students
<h3>Understanding Venn Diagrams</h3>
We are given;
- Total number of Students = 1358
- Number of Students that plan to get a new job = 1194
- Number of Students that plan to attend graduate school = 306
- Number of Students that plan to buy a new car = 547
- Number of Students that plan to do all three things = 46
- Number of Students that plan to only attend graduate school = 28
- Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
- Number of Students that plan to get a new job and attend graduate school = 221
A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.
B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57
C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;
541 + 175 + 28 + 67 = 811
D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;
541 + 175 + 12 + 57 = 785
E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67
The complete part of the question is;
A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.
B) How many people plan to attend graduate school and buy a new car, but not get a new job?
C) How many students do not plan a buy a new car?
D) How many students plan to get a new job or buy a new car?
E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?
Read more about Venn Diagrams at; brainly.com/question/2099071
