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2 years ago

9

a commonly accepted angle of elevation for a safe, accessible wheelchair ramp is 4.4 degrees. The public library's main door is

0.9 m above street level. what will be the run of this ramp

1 answer:

inna [77]2 years ago

7 0

Answer:

11.7 m

Step-by-step explanation:

x = 0.9/tan4.4 = 11.69654

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Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago

Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

kenny6666 [7]

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
$\frac{8}{3}$ *9

Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
( $\frac{8}{3}$ *9)* $\frac{1}{4}$

, or dividing everything by 4.
( $\frac{8}{3}$ *9)/4

Finally, subtract three.

The final equation would read:
(( $\frac{8}{3}$ *9)* $\frac{1}{4}$ )-3

Using PE(M/D)(A/S), we'd start with $\frac{8}{3}$ *9

3 and 9 cancel out to be 1 and 3, leaving us with $\frac{8}{1}$ , or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is $\frac{24}{4}$ , which is 6.

Lastly we subtract 3 from six, leaving us 3.

7 0

3 years ago

Read 2 more answers

Enter the equation in standard form. y=9/3x-5/3

Marianna [84]

<span>y = 9/3 x - 5/3
3y = 9x - 5
9x - 3y = 5 ...<----this is standard form</span>

3 0

3 years ago

How to solve it and why

RideAnS [48]

6.

4x^2 + 4 = 0

Divide both sides by 4

x^2 + 1 = 0

Use the quadratic formula since this cannot be factored.

x = (-b +- sqrt(b^2 - 4ac))/(2a)

x = +- sqrt(-4(1)(1))/2

x = +- sqrt(-4)/2

x = +- 2i/2

x = +- i

x = i or x = -i

Quicker solution:

If you have x^2 = number, then

x = +- sqrt(number)

Once you get to

x^2 + 1 = 0

Subtract 1 from both sides

x^2 = -1

Apply the quick method

x = +- sqrt(-1)

x = +- i

8.

2x^2 + 50 = 0

Divide both sides by 2

x^2 + 25 = 0

Subtract 25 from both sides

x^2 = -25

Apply quick method

x = +- sqrt(25)

x = +- 5i

x = 5i or x = -5i

3 0

2 years ago

Solve by elimination<br> -8x+12y= 12<br> -2x-12y= -12

SSSSS [86.1K]

Answer:

x=0, y=1.

Step-by-step explanation:

-8x+12y= 12

-2x-12y= -12 Adding these 2 equations:

-10x = 0

x = 0.

Plug this into equation 1:

-8(0) + 12y = 12

12y = 12

y = 1.

7 0

3 years ago

Read 2 more answers