If the square root of x = 9, then x is between___
2 answers:
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Answer:
<em>5 boys play all the two games</em>
<em>25 boys play only one game</em>
Step-by-step explanation:
<u>Sets</u>
There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).
All the boys play at least one of the two games, so no elements are outside both sets.
There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.
Thus 20 + 15 - 30 = 5 boys play both games
Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.
Thus 15 + 10 = 25 boys play only one game.
The Venn diagram is shown in the image.
The perimeter of a shape is the sum of its side lengths.
<em>Joshua miscalculated the third length of the triangle</em>
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:
Take square roots of both sides
The other shape in the figure is a square.
So, the perimeter (P) is
---- i.e. the sum of the visible lengths
So, we have:
Evaluate like terms:
Hence, Joshua's error is that:
<em>He miscalculated the third length of the triangle</em>
Read more about perimeters at: