A) n(0) = 20 because n(0) = 20(2)^0 and anything to the power 0 is 1. The reason that any number to the zero power is 1 is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1
Thus, n(0) = 20(1) = 20. In terms of the situation, if 0 days have passed since Monday, 20 people know about the rumor.
b) n(-2) = 20(2)^-2 = 20* 1/(2^2)
=20/(2^2) = 20/4 = 5.
In terms of the situation, two days before Monday, 5 people know the rumor.
Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
Overall the cost will be 152.93 but plus the 7% sales tax the final price will be 163.64 (sale tax 10.71)
Answer:
Angle A= 61°
Step-by-step explanation:
angle A+ Angle B+Angle C= 180°( Angle sum property)
∠A+57+72= 180°
∠A= 180°- 127°= 61°
Answer:
20
Step-by-step explanation:
<u>Given:</u>
<u>As per the picture:</u>
- m∠JKL = m∠JKM + m∠MKL = 45 + x
<u>Comparing the two equations above:</u>
- 3x+5 = 45 + x
- 3x - x = 45 - 5
- 2x = 40
- x = 40/2
- x = 20
x = 20 is the correct answer for this question
Otherwise something is wrong with the question.