Answer:
Step-by-step explanation:
40-16= 24 before he bought the 16
24*2=48 before he sold half
The total number of coins is 9. Therefore
p+n+d = 9 (1)
There are two fewer nickels than dimes. Therefore
n = d - 2 (2)
From (1) and (2), obtain
p+(d-2)+d = 9
p + 2d = 11
p = 11 - 2d (3)
Total value:
0.01p + 0.05n + 0.10d = 0.53 (4)
Substitute (2) and (3) into (4).
0.01(11-2d) + 0.05(d-2) + 0.10d = 0.53
0.11 - 0.02d + 0.05d - 0.10 + 0.10d = 0.53
0.03d + 0.01 = 0.53
0.13d = 0.52
d = 4
p = 11 - 2d = 11 - 8 = 3
Answer: 3 pennies
I found the image that should have accompanied this problem.
The triangle inside the circle is an isosceles triangle. It has 2 equal sides and 2 equal angles.
Angle A = 70° , Angle C is also 70°. This leaves angle R having 40°.
The arc opposite angle R is twice the measure of its angle.
Angle R = 40°
Arc AC = 40° x 2 = 80°
The measure of arc AC is 80°.
Answer:
sin(2x)/cos x = 2sin x*cos x/ cos x = 2 sin x = 2
sin x = 1
x = pi/2
but cos pi/2 = 0
so the given equation is indeterminate for x = pi/2
Step-by-step explanation:
