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yanalaym [24]
3 years ago
13

According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What

is the maximum angle that the ramp can form with the ground? a. 4.8º c. 5.0º b. 2.7º d. 3.7º
Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

\tan x=\frac{perpendicular}{base}

i.e. \tan x=\frac{1}{12}

i.e. \tan x=0.0833

i.e. x=\arctan 0.0833

i.e. x = 4.8°

Thus, the maximum angle made by the ramp with the ground is 4.8°.

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Mars2501 [29]

2y-x=3/4(-y+1)first distribute

2y-x=-3/4y+3/4 get the y on one side

2y-x+3/4y=3/4 add 3/4y to both sides

2y+3/4y=3/4+x add x to both sides

11/4y=3/4+x now divide by 11/4 (both sides)

y=3/11+4/11x

y=3+4x/11

choice c is the answer

6 0
3 years ago
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the sum of three consecutive even integers is 36. Let X represent the first integer, x + 2 represent the second integer, and x +
ozzi

Answer:

see explanation

Step-by-step explanation:

Sum the 3 consecutive integers and equate to 36

x + x + 2 + x + 4 = 36

3x + 6 = 36 ( subtract 6 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The 3 consecutive integers are

10, 10 + 2, 10 + 4, that is

10, 12, 14

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3 years ago
A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t
Darina [25.2K]

Solution: We are given:

\mu=0.33,  \sigma =0.7

Let x be the weight (oz) of laptop

We have to find P(x>32)

To find the this probability, we need to find the z score value.

The z score is given below:

z=\frac{x-\mu}{\sigma}

       =\frac{32-33}{0.7}

       =-1.43

Now, we have to find P(z>-1.43)

Using the standard normal table, we have:

P(z>-1.43)=0.9236

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4 0
2 years ago
Division time :) <br> and i'm stuck with this.
Archy [21]

Answer:

Step-by-step explanation:

I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.

6 0
2 years ago
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Isaac Green Elimination (Level 1) Mar 17, 8:18:58 AM Find the solution of the system of equations. 8x + y = -13 8r 2y = 10​
kicyunya [14]

Answer:

y = 23

x = -4.5

Step-by-step explanation:

Given:

Equation

8x + y = -13 ......eq1

8x + 2y = 10​........eq2

Find:

Solution

Computation:

Eq2 - Eq1

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From eq1

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8x + 23 = -13

8x = -36

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2 years ago
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