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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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Sum of 2 numbers is 36. The larger is 3 more than twice the
maw [93]

Answer:

11

Step-by-step explanation:

so we just make a system of equations:

x+y=36

say that x is the larger and y is the smaller

x-3=2y

so we can combine the equations and solve for x and y

re-arrange x-3=2y to be x=2y+3

x+y=36

x=2y+3

insert the value for x into x into x+y=36

2y+3+y=36

3y+3=36

y=11

now insert that back into x+y=36

11+x=36

x=25

Out of the two numbers x and y, 11 is the smaller number

Hope that helps :)

6 0
3 years ago
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ? units. The point (-
olganol [36]
Hello,

The circle has like equation: (x+3)²+(y-2)²=r²

If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)

if x=-7 then (-7+3)²+(y-2)²=25 ==>  (y-2)²=25-16==>y=2+3 or y=2-3
The points (-7,5) and (-7,-1) are on the circle.
3 0
3 years ago
Read 2 more answers
2x^2(6x^3-3x+1) need help
bazaltina [42]

2

2

(

6

3

−

3

+

1

)

2

x

2

(

6

x

3

−

3

x

+

1

)

2x2(6x3−3x+1)

Simplify

1

Distribute

2

2

(

6

3

−

3

+

1

)

2

x

2

(

6

x

3

−

3

x

+

1

)

2x2(6x3−3x+1)

1

2

5

−

6

3

+

2

2

12

x

5

−

6

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+

2

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12x5−6x3+2x2

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6

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2

5 0
2 years ago
Solve the inequality 2x &lt; 8 - 4(2 - x)
nevsk [136]
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac

distribute the -4
-8+4x

now we have
2x<8-8+4x
2x<4x
minus 2x both sides
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therefor
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answer is x>0
5 0
3 years ago
HELP ME PLEASE!! MATHEMATICS
ankoles [38]
You show the text of the problem, but you need to show the figure too.
3 0
3 years ago
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