What is 34.643 in expanded form

this is easy

Step-by-step explanation:Expanded Notation Form:

 34.643=

 30  

+4  

+  0.6

+  0.04

+  0.003

Expanded Factors Form:

   34.643=

 3 ×10  

+4 ×1  

+6 ×  0.1

+4 ×   0.01

+3 ×  0.001

Expanded Exponential Form:

 34.643 =

3 × 101

+4 × 100

+6 × 10-1

+4 × 10-2

+3 × 10-3

Word Form:

34.643 =

thirty-four and six hundred forty-three thousandths

f is the midpoint of

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240