Answer: $250
Step-by-step explanation: Step 1: Multiply $50 by 4 Step 2: Subtract $450 by $250 Step 3: Then you get $200 leftover
Y = height
x = distance from tower
tan(19.9) = y/x
tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)
find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400
replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)
rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y
now solve:
0.362x = 0.400x-20
add 20 to each side:
0.362x +20 = 0.400x
subtract 0.362x from each side:
20 = 0.038x
divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet
now that x is known replace x in the original equation and solve for y:
tan19.9 = y /x
0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5
the height of the tower is 190.5 feet
Answer:
x=0,-2
Step-by-step explanation:
Solve the solution by equaling them to each other and solve for x.
x^2+5x+6=3x+6
x^2+5x-3x+6-6=0
x^2+2x=0 (factor out one x)
x(x+2)=0
x has two solutions since there are two options of solving.
1. x=0/(x+2)
x=0
2. x+2=0/x
x+2=0
x=-2
Answer:
mom is 45
ahsan is 16
Step-by-step explanation:
a+m=61
m-a=29
m=a+29
substitute
2a+29=61
2a=32
a=16
m=45
Answer:
8. yes
9. no
10. yes
Step-by-step explanation:
8. A horizontal line (y=3) is perpendicular to a vertical line (x=0).
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9. A horizontal line (y=2) is parallel to a horizontal line (y=-1/2). The lines are not perpendicular.
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10. A parallelogram is a rectangle if the sides are perpendicular. The slopes of the short sides are rise/run = -1, and the slopes of the long sides are rise/run = +1. These values have a product of -1, so the sides are perpendicular. The figure is a rectangle.
