The two systems have the same solution.
The correct answer is 3) since the first equation of system B is indeed the addition of the first equation of system A and 4 times the second equation of system A.
Answer: 3)
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
Answer:
x = 5±√3
Step-by-step explanation:
Equation: (x-5)² = 3
Step 1: Take the square root of both side of the equation
√(x-5)² = ±√3
x-5 = ±√3
Step 2: add 5 to both side of the equation
x-5+5 = 5±√3
x = 5±√3
Hence, from the options above, the right answer is
B. x = 5±√3
Answer:
1)m=9ft and n=10ft
2) p=10cm and r=18cm
3) s=4mi and t=8mi
Step-by-step explanation:
1)
Finding 3rd angle:
F= 180-(90+60)
= 180-150
=30
Now using law of sines to find sides m and n
m/sinD = 5/sinF
m= sin60(5/sin30)
= 8.66
= 9
n/sinE= 5/sin30
n= sin90(5/sin30)
= 10
hence m=9ft and n=10ft
2)
Finding 3rd angle:
F= 180-(90+60)
= 180-150
=30
Now using law of sines to find sides p and r
p/sinF = 21/sinE
p= sin30(21/sin90)
= 10.5
= 10
r/sinD= 21/sin90
r= sin60(21/sin90)
= 18.18
=18
hence p=10cm and r=18cm
3)
Finding 3rd angle:
F= 180-(90+60)
= 180-150
=30
Now using law of sines to find sides s and t
s/sinF = 3√6/sinD
s= sin30(3√6/sin60)
= 4.24
= 4
t/sinE= 3√6/sinD
t= sin90(3√6/sin60)
= 8.48
= 8
hence s=4mi and t=8mi !
24 es un múltiplo creo.........
