What is the value of x?
1 answer:
Answer:
3√2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, obtuse, acute and right angled triangle.
In a right angled triangle, the hypotenuse is the side with the longest length. Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the remaining two legs
The value of x can be gotten using Pythagoras theorem.
y² = h² + 3² (1)
x² = h² + 3² (2)
(3 + 3)² = x² + y² (3)
Substituting y² = h² + 3² and x² = h² + 3² into equation 3 gives:
(3 + 3)² = (h² + 3²) + (h² + 3²)
36 = h² + h² + 9 + 9
2h² + 18 = 36
2h² = 18
h² = 9
h = 3
Put h = 3, into equation 2 to get the value of x:
x² = 3² + 3²
x² = 9 + 9 = 18
x = √18 = 3√2 units
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Answer:
Step-by-step explanation:
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100 were registered for both Math and English.
50 were registered for both Sport and English but not Math.
70 were registered for Math, Sport, and English.
From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class
a. none signed up only for Maths (refer to attached document)
b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.
c. How many signed up for an English class and at least one other class?
From the venn diagram:
we could have an English class and maths class - 100
we could also have an a English class and sports - 50
Thus total is 150.
d. What is the total fee for all the students enrolled in classes
From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000
From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000
From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000
Total fees = $12,000 + $27,000 + $14,000 = $53,000
