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blagie [28]
3 years ago
15

if a staircase rises 52° from the ground and a vertical distance of 12 yards. How much horizontal distance does the staircase co

ver? Round to the nearest tenth.
Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
The horizontal distance will be found using the formula:
tan θ= opposite/adjacent
given that θ=52°
opposite= 12 yards
adjacent=x
hence
tan 52=12/x
x=12/tan 52
x=9.3754
the height is 9.375 yards
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What is the slope of the line that passes through the points (4, -9) and (-10, 18)?
Romashka [77]
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The formula is y2-y1 over x2-x1. If you plug in you points that would be 18-(-9) over -10-4. Subtract and that’ll be your answer. Hope this helps!
4 0
3 years ago
Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution t
otez555 [7]

Answer:

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) = \frac{-2}{3}

And y-intercept is ( 0, \frac{5}{3})

So from above slope and points, the equation of line can be written as

y = mx + c

i.e \frac{5}{3} = \frac{-2}{3} x + c

    \frac{5}{3} = \frac{-2}{3} (0) + c

    \frac{5}{3} = 0 + c

Or, c = \frac{5}{3}

A) With points ( 5, \frac{5}{3} )

   At x = 5, y =\frac{-2}{3} (5) + \frac{5}{3}

            or, y = \frac{-10}{3} + \frac{5}{3}

            so, y = \frac{-5}{3}

Hence this points do not apply

B) With points ( 1 , 1 )

   At x = 1, y =  \frac{-2}{3} (1) +  \frac{5}{3}

      or,      y =  \frac{-2+5}{3}

      So,     y =  \frac{3}{3}

                y = 1

Hence this points will apply

C) With points ( 4 , -1 )

    At x = 4 , y =  \frac{-2}{3} (4) +  \frac{5}{3}

                    y =  \frac{-8+5}{3}

                    y =  \frac{-3}{3}

             So,  y= -1

Hence this points will apply

D) With points (-3 ,7)

    At x = - 3, y = \frac{-2}{3} (-3) +  \frac{5}{3}

                     y = \frac{14}{3}

 Hence this point will not apply

E) with points (0 , 0)

    At x 0,     y =  \frac{-2}{3} (0) +  \frac{5}{3}

               Or, y = 0 +  \frac{5}{3}

                     y =  \frac{5}{3}

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

No options given. So, I will solve generally.

Given

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Total = 72

Required

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This is calculated using:

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6 * p = 72

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Answer:

50.625

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