Angle of depression = 12.52°
The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
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Use the given formula
C = 2(pi)r
Given pi = 3.14, r = 4
C = 2(3.14)(4) = 25.12 inches
Solution: 25.12 inches
Answer: the cost per unit of gas is $0.38
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that
600x + 100y = 344- - - - - - - - - -1
The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.
It means that
400x + 250y = 299- - - - - - - - - -1
Multiplying equation 1 by 400 and equation 2 by 600, it becomes
240000x + 40000y = 137600
240000x + 150000y = 179400
Subtracting, it becomes
- 110000y = - 41800
y = - 41800/- 110000
y = 0.38
Substituting y = 0.38 into equation 1, it becomes
600x + 100 × 0.38 = 344
600x + 38 = 344
600x = 344 - 38 = 306
x = 306/600
x = 0.51
Answer:
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Cost, y=$(12+2x)
Step-by-step explanation:
Let the number of pounds being shipped=x
Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package.
Gale's Shipping Company Cost = $3.00 + ($5.00 X Number of Pounds)
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Company charges $12.00 plus an additional $2.00 per pound to ship a package.
Peeta's Shipping Cost = $12.00 + ($2.00 X Number of Pounds)
Peeta's Shipping Cost, y=$(12+2x)
