Step 1
find the perimeter of a <span>single enclosure
perimeter of a square=4*b
where b is the long side of a square
area square=b</span>²
area square=2025 ft²
b²=2025-------> b=√2025-----> b=45 ft
<span>so
perimeter=4*45-------> 180 ft
step 2
</span>find the perimeter of a two individual enclosure
<span>perimeter=4*20+3*40------> 200 ft
area=20*40*2------> 1600 ft</span>²
<span>
therefore
fencing singular enclosure < fencing two individual enclosure
180 ft < 200 ft
</span>area singular enclosure > area two individual enclosure
2025 ft² > 1600 ft²<span>
the answer is the option
</span><span>a The singular enclosure would minimize cost because it requires 180 feet of fencing.</span><span>
</span>
Answer:
5.83 blocks away from his home
Step-by-step explanation:
If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.
The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G
G^2 = 5^2 + 3^2
G^2 = 25 + 9
= 34
G = √34
=5.83
John is 5.83 blocks away from his home
The number of the product is 9
x=2
1:Subtract 2x from both sides.
2:Combine 2/3 x and -2x to get -4/3
3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.
4:Multiply both sides by -3/4,the reciprocal of -4/3
5:Multiply − 3/8 times − 4/ 3 by multiplying numerator times numerator and denominator times denominator.
6:Do the multiplications in the fraction −8(−3) over 3x4.
x=24/12
Divide 24 by 12 to get 2.
x=2
Answer:
17 is 35 degrees and 18 is 43 degrees
