Patterns are used to represent sequence of numbers.
The shape at the 50th position is a triangle
The pattern rule is given as: square, triangle, circle, oval.
The number of shapes (n) is given as:
So, the 50th shape is calculated using the following absolute operator
i.e. divide 50 by 4, and take note of the remainder.
When 50 is divided by 4, the remainder is 2
So, we have:
This means that, the shape at the 50th position is the same shape at the 2nd position.
Hence, the shape is triangle
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Answer:
30% of employees work part-time
Step-by-step explanation:
i just added 9 and 21 which is 30 and then i figured out that 9 is 30% of 30
Answer:
Step-by-step explanation:
P1(3,3)
P2(1, -5)
M= (-5-3)/(1-3)=-8/-2=4
Y=4x-9
Answer:
Step-by-step explanation:
Given
Required
Determine the inverse function
Start by replacing f(x) with y
Swap the positions of y and x
Make y the subject: <em>Add 4 to both sides</em>
Make y the subject: <em>Divide through by 2</em>
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Replace y with f-1(x)
Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
