Answer:
x = 28.32 units.
Step-by-step explanation:
Given:
Longer leg = 21
Shorter leg = 19
Hypotenuse = x
To Find:
Hypotenuse = x = ?
Solution:
Pythagoras Theorem States that

Substituting of the given value above equation we get

Answer:
b. (2,0)
Step-by-step explanation:
To find which ordered pair is a solution, we have to replace then into the equation, and the result has to be an identity, that is, 0 = 0.
Equation:

Option a:
, so 




Not an identity, so this ordered pair is not a solution.
Option b:
, so 




Identity, and thus, the correct answer is given by option b.
Answer:

General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Find</u>
- Substitute in <em>x</em> [Function f(x)]:

- Simplify:

Answer:
1)2(lb+bh+hl)
=2(17*12+12*8+8*17)
=2(204+96+136)
=2*436
=872 in^2
2)2*pi*r(r+h)
=2*3.14*14(14+29)
=6.28*14(43)
=6.28*14*43
=3780.56 mm^2
3)A=11*4.3+3*6 +3*8+11*3(Area of each plane figure -triangle and rectangle)
=47.3+18+24+33
=122.3cm^3
4)h*(sum of II sides)+14*8+19*8+14*8+25(Area of plane surface-trapezium,rectangle,square)
=12.1(19+5)+112+152+112+25
=12.1*24+401
=290.4+401
=691.4ft^2