Answer:
Step-by-step explanation:
H
If you take the point on the bridge directly beneath the lowest point on the cable to be the origin, then the parabola has equation
300 ft to either side of the origin, the parabola reaches a value of <em>y</em> = 90, so
Adding these together eliminates <em>b</em> and lets you solve for <em>a</em> :
Solving for <em>b</em> gives
So the parabola's equation is
150 ft away from the origin, the cable is at a height <em>y</em> of
ft above the bridge.
I think the correct answer is B.
1200•1.07= 1284
1284•1.07= 1373
1373•1.07=1469
B is the closest
The equation of the line that is perpendicular to y = 1/6 is: B. x = -8.
<h3>How to Find the Equation of Perpendicular Lines?</h3>
Perpendicular lines have slope values that equals -1 when multiplied together, that is, they are negative reciprocals.
Given the equation, y = 1/6, the slope is 0. This means it is a vertical line, therefore, the line that is perpendicular to it would automatically be a vertical line with an undefined slope which passes through (,8, -2).
The line therefore, would intercept the x-axis at -8. The equation would be: x = -8.
Equation of the perpendicular line is therefore: B. x = -8.
Learn more about the equation of perpendicular lines on:
brainly.com/question/19044397
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Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.