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Olenka [21]
3 years ago
9

Flared sides smoothly connect the ramp to the sidewalk. The guidelines say the flared sides must be no more than 5.7 degrees ( r

atio of vertical to horizontal). What is the horizontal distance for flared sides with a 4 inch vertical distance?
Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

40\ \text{inches}

Step-by-step explanation:

\theta = Angle = 5.7^{\circ}

Let the vertical distance be is y=4\ \text{inches}

horizontal distance be x

So, slope is the tangent of the angle between the vertical and horizontal

\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}

The horizontal distance for flared sides is 40\ \text{inches}.

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Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the l
Lubov Fominskaja [6]

Answer:

( x , y ) = ( -1 , - 5 )

Step-by-step explanation:

Solution:-

- The rectangular coordinate system ( Cartesian ) is defined by two independent variables namely, "x and y".

- The values of both varibales lie on the horizontal and vertical line respectively, ( x & y ).

- The values on the horizontal axis also known as the x-axis is marked with a referece of x = 0 ( origin ). All the values to the right of the point of origin are denoted as positive units and all values to the left of the point of origin are denoted as negative units.

- Similarly, The values on the vertical axis also known as the y-axis is marked with a referece of y = 0 ( origin ). All the values to the above the point of origin are denoted as positive units and all values below of the point of origin are denoted as negative units.

- The axis are conventionally oriented such that 90 degrees angle is formed in between them and always denoted in the counter-clockwise direction.

In other words, if +x is pointing to the right then the +y will be pointed in the direction when +x is rotated counter clockwise to 90 degrees; hence, points upward.

- When Amanda starts off at the origin she is at the order pair  ( 0 , 0 ).

- She then moves her finger 1 unit to left ( -x ) and 5 units down ( -y ). Hence, she moves 1 unit along the -x direction and then moves 5 units down along -y direction.

Hence, she is at an ordered pair ( x , y ) = ( -1 , - 5 ) .

3 0
3 years ago
Whats the answer to n+4-9-5n
Veseljchak [2.6K]
You can combine like terms
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n-5n+4-9
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1n-5n+4-9
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3 years ago
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Lilit [14]

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case here : 1/5

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

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b is the y-intercept, and we get it by using the coordinates of the point for x and y :

-8 = -5×0 + b = b

so, the full line function is

y = -5x - 8

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ELEN [110]
The answer is A) (3,2)
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gnacio earns 5 percent simple interest annually on his savings account. How much interest will he earn each month on $1250?
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It would be 62.50 i think because what I did is I multiplied 1250*0.05  

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