Answer:
3 ft by 8 ft
Step-by-step explanation:
We were given the area as 24 square feet which means that
L×w= 24....eqn(1)
We were given the perimeter as 22 square feet which means that
22= 2(L +w).......eqn(2)
If we divide both cause by 2 in eqn(2) we have
11= L+ w .....eqn(3)
W= 11-L.........eqn(4)
Substitute eqn(4 into eqn(1)
L× (11-L)=24
-L^2 +11L-24=0
If we factorize
(L-8)(L-3)
L=3 or 8
From eqn4)
W=11-L
At L=3
W=11-3=8
Hence, the dimension is 3 ft by 8 ft
If we start with 6 and 8, we can break 6 up into 2*3 and 8 into 2*2*2, thus getting a prime factorization of 2*2*2*2*3, or 2^4 *3.
If we begin with 4 and 12, 4 breaks into 2*2 and 12 into 2*2*3, so the prime factorization of 48 is still 2^4 *3.
The starting factors do not matter, since the answer comes out to be the same. There is exactly one correct answer- it doesn't matter how it's found.
Hope this helps! :)
Answer:
X = 75°
Y = 105°
Z =75
Step-by-step explanation:
Answer:
Step-by-step explanation:
One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i
3(5-2i) =
3·5 -3·2·i =
15 -6i or -6i +15
As there are no parenthesis, Follow PEMDAS and go from left to right
14 x 13 = 182
182/9 = 20.22
20.22 + 8 = 28.22
28.22 is your answer
hope this helps