Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
I can't see all the triangles, but basically, it is asking you to write down triangles that are congruent with each other.
The marks in the corner of the triangle indicate that the angles of that triangle are congruent to the other triangle.
So,
Triangle NOP= Triangle NQP
Make sure that the points align with each other, otherwise you could be saying that two different triangles are congruent to each other.
N= N O=Q P=P
I hope this cleared some confusion!
~kaikers
Answer: Try C
Step-by-step explanation:
Simple way of finding the decimal value : -
=> 46/200
Divide numerator and denominator by 2
=23/100
As 100 is in denominator, shift decimal by 2, i.e
= 0.23
Answer = 0.23
Siny/2.7=sin63/2.8
siny=2.7sin63/2.8
y=arcsin((2.7sin63)/2.8)
y≈59.23° (to nearest one-hundredth of a degree)
