Parallel line to 2x+3y=6 passing through (6,-3)

Answer:

The volume of the plastic pipe  is 141 cubic centimetre

Step-by-step explanation:

Given:

The Length of the plastic water pipe = 12 cm

The inner Diameter of the  plastic water pipe = 12 cm

The outer Diameter of the  plastic water pipe = 15 cm

To Find:

the volume of the plastic pipe not the hollow interior to the nearest hundredth = ?

Solution:

The volume of the plastic water pipe can be found by using the volume of the cylinder formula

The Volume of the cylinder  =

Where

r is the radius

h is the height

Radius r  

On substituting the values

The Volume of the cylinder  

=

=

=  141.37   cubic centimetre

= 141  cubic centimetre

Answer: D Three squared plus four squared equals five squared.

Step-by-step explanation:

It’s restating the Pythagorean theorem. a^2+b^2= c^2. Where “a” and “b” represent the legs of the triangle that form the right angle and “c” represents the side opposite the right angle.

Notice the picture is a right triangle. (The little box in the corner represents a right angle.) the legs that make up the right angle are represented as a 3 by 3 box (3 squared) and a 4 by 4 box (4 squared). The side opposite the right angle is represented as a 5 by 5 box (5 squared)

Using the law os cosines formula b^2 = a^2 + c^2 - 2*a*c*cos(B)

a = 17, b = 8, c = 16

8^2 = 17^2 + 16^2 - 2*17*16* cos(B)

64 = 289 + 256 - 544 * cos(B)

544*cos(B) = 289 + 256 - 64

544 * cos(B) = 481

cos (B) = 481/544

B = arccos(481/544)

B = 27.8 degrees

This is how you solve your equation;

-20 = 5/6x

-20 ÷ (-5/6) = x  (did the inverse operation of x)

-24 = x    or    x = -24

to check the answer just substitute the value of x in the equation;

-20 = 5/6x

-20 = 5/6(-24)

-20 = -20

hope that helps:D