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Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

Answer:

2/3

Step-by-step explanation:

Answer:37

Step-by-step explanation:

(5x7)+2

35+2

=37

Answer:

D

Step-by-step explanation:

The other ones don’t match up to the graph

Answer:

c = 44

Step-by-step explanation:

Answer:

1.x=12

2.y=2

3.x=2

Step-by-step explanation:

Solving an Inequality with No Solution

Write the inequality.

Distributive Property

Subtract 8x from each side

Simplify.

To find the area of the shaded region, you first use the equation A = πr²

The radius of the circle is 9 cm. So A = π(9²)

A = 3.14 (81)

A = 254.34 (entire circle)

The entire circle is 360°

and 4.5 of the 80°'s will equal 360°

254.34 ÷ 4.5 = 56.52

ANSWER: 56.52 cm²

Answer:

56.55 cm^2

Step-by-step explanation:

Since a circle is 360 degrees and the piece is 80 degrees, the shaded area is 4.5 of the total area of the circle (9/2). Find the area of the circle:

[tex]\pi r^{2}[/tex]

[tex]\pi 9^{2}[/tex]

[tex]\pi 81[/tex]

[tex]254.47/4.5[/tex]

56.55 cm^2

Answer:

x = 2, and y = -1. Point form: (2, -1)

Step-by-step explanation:

You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.

The value of x = 2

The value of y = -1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A
Let the second equation be = B

Now , we have two equations

4x + 3y = 5   be equation (1)

2x + 3y = 1    be equation (2)

Now , on simplifying the equations , we get

Subtracting equation (2) from equation (1) , we get

2x = 4

Divide by 2 on both sides , we get

x = 2

Substitute the value of x in equation (1) , we get

4 ( 2 ) + 3y = 5

8 + 3y = 5

Subtract 8 on both sides , we get

3y = -3

Divide by 3 on both sides , we get

y = -1

Therefore , the value of x and y is 2 and -1 respectively

Hence , The value of x = 2

The value of y = -1

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

I Think Its D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

y is = 15

please mark me as brainest

Answer:

Mynd44

Step-by-step explanation:

Here, we want to check if the amount of money saved is enough to

by a tv

Mathematically, we have the simple interest formula as follows;

I = PRT/100

I = (80 * 2.1*10)/100

I = 1680/1000 = 1.68

Hence, she will not have enough

Answer:

The golf ball is 2 times as likely to be orange as it is to be pink

Step-by-step explanation:

Anyways, i hope this is right and i hope i helped!

Answer:

1/9

Step-by-step explanation:

Divide 1/3 divided by 3 (1/9)

Keep, Change, Flip

(Keep the first fraction, change the division sign to multiplication sign, flip the last fraction)

The equation would be

1/3*1/3=1/9

Hope I helped!! :)

Pls mark brainliest if correct!!!

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The ratio of any corresponding coordinates will give the scale factor.

Using the x-coordinates of C' and C, we have ...

  scale factor = C'/C = 4/6 = 2/3

The dilation scale factor is 2/3.

Answer:

42

Step-by-step explanation:

the answer is 42

Answer:

42 sandwiches

Step-by-step explanation:

10 1/2 DIVIDED BY 1/4 equals 42!

(I hoped that helped, there wasn't really any other way to explain it!)

Answer:

ME!!!!!!!!!!

Step-by-step explanation:

do you have a equation for me???

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

Answer:

tho im very confused what 1.25 means. im pretty sure its 1 1/4

Answer:

5:15

Step-by-step explanation:

Answer:

y = -x + 2

Step-by-step explanation:

slope = -1 ;  (-1 , 3)

Equation: y - y1 = m (x - x1)

y - 3 = (-1)(x -[-1])

y - 3 = (-1) (x + 1)

y - 3 = -x - 1

    y = -x - 1 + 3

   y = -x + 2

Answer:

y=-x+2

Step-by-step explanation:

Answer:

D is the correct answer

Step-by-step explanation:

Answer:

2x^2+9x-35

Step-by-step explanation:

(2x-5)(x+7)

=2xx + 2x  x 7 + (-5)x + (-5) x 7

=2xx + 2 x 7x - 5x - 5 x 7

=2x^2+9x-35

Answer:

the answer is b=18

Step-by-step explanation:

Answer:

8c

9a

7c (just going in order of pictures lol)

10d

6a

Step-by-step explanation:

8. 180-68=5x+12

112=5x+12

100=5x

x=20

9. 180-100=2x

80=2x

x=40

7. 2x+x-3=90

3x=93

x=31

10. 180-70-60=8x+2

50=8x+2

48=8x

6=x

6. 3x=45

x=15

Answer:

Hope the attached helps!

Step-by-step explanation: