What are the coordinates of A’, the image of A(-7, 9), after a rotation of -180° about the origin?
1 answer:
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5 students took part in both individual and team events.
<h3>What is data?</h3>Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.
Given:
Total students participated = 27
20 students participated in individual events
12 students took part in team events.
We have N(All students) = 27
N(individual) = 20
N(Team)= 12
So,
=20+12-27
=32-27
=5
Hence, 5 students took part in both individual and team events.
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Answer:
Option (c) is correct.
The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Step-by-step explanation:
Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.
also, Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.
We have to find the approximate total area of the plastic triangles on the spinner.
Perimeter of triangle is the sum of sides.
Since given the triangle to be isosceles .
Let the two equal side be x cm, then,
Perimeter of given triangle = 1 0
⇒ x + x + 2 = 1 0
⇒ 2x = 8
⇒ x = 4
Thus, side of triangle is 4 cm.
Now we find the area of isosceles triangle.
We first find the height, using Pythagoras theorem,
Putting values, we get,
Solving we get,
Thus, area of one isosceles triangle
area of one isosceles triangle
On solving we get,
Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.
Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Option (c) is correct.