Answer:
5 dimes and 10 nickels
Step-by-step explanation:
0.1d + 0.05n = 1
d + n = 15
d + 0.5n = 10
d + n = 15
0.5n = 5
n = 10
d + n = 15
d + 10 = 15
d = 5
Answer: 5 dimes and 10 nickels
Answer:
zeroes: x = -9 and x = -7
Step-by-step explanation:
f(x)=(x+8)^2−1
A "zero" refers to when the y-value on the graph is zero.
0 = (x+8)^2 - 1
1 = (x+8)^2
+ or - 1 = x+8
so break them apart into two equations
x+8 = 1 OR x+8 = -1
x = -7 OR x = -9
You can plug both back in to check that the equation works!
Plug the numbers into the equation
5(5) - 2 = ?
25 -2 = 23
23
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
