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4vir4ik [10]
2 years ago
14

A curb is 4 inches high. The ramp from the sidewalk yo the street follows the same guidelines as other Ramos (no more than 4.8 d

egrees, so a 1:12 ratio of vertical to horizontal). What is the horizontal distance for a ramp with a 4 inch vertical distance?
​
Mathematics
1 answer:
Effectus [21]2 years ago
4 0

Answer:

<h2>48 inches.</h2>

Step-by-step explanation:

Givens

  • The height of a curb is 4 inches. So, the ramp has a height of 4 inches.
  • The ratio between vertical and horizontal distance of the ramp is 1:12.

Accoriding to the given ration, one unit of vertical distance is equivalent to 12 units of horizontal distance. So, the horizontal distance is

h=12(4 \ in)=48 \ in

Therefore, the horizontal distance is 48 inches.

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
kompoz [17]

Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

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Let the base of the triangle be 15.

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A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

81 = x^2

Take square roots

9 =x

x = 9

Solving for y

x + y = 25

y= 25 - x

y= 25 - 9

y= 16

7 0
2 years ago
I am being asked to calculate and plot residuals and I don't know how my x values are 13.8, 18, 16,7, 18, 0.7, 21.9, 9.2, 19.5,
Igoryamba

Answer:

(13.8,1.42) (18,3.7)(16.7,3.21) and so on REMEMBER ITS (X,Y)

Step-by-step explanation:

3 0
2 years ago
(40x9)÷(4x8)=x solve for variable of x
nikklg [1K]
The answer is:  " x = 11 ¼ "  ; or write as:  " x = 11.25 " .
_________________________________________________
Explanation:
_________________________________________________
  (40*9) ÷ (4*8) = x  ;  Solve for "x" ;

(40 * 9 = 360) .

(4 * 8 = 32) .

(360) ÷ (32) = 45/4 = 11 ¼  ; or write as:  11.25 .
________________________________________________
8 0
2 years ago
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Mashutka [201]

Answer:

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Step-by-step explanation:

7 0
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Answer:

1  no

2 yes

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