Answer:
<em>radius: r2 = 3.14 × 632 = 12470 square mm</em>
Step-by-step explanation:
Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
Answer:
She has approximately 3 pieces ( 2.625)
Step-by-step explanation:
To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.
To get the division done, it would be easier to convert what we have into improper fractions
For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters
while;
the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters
The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces
