Answer:
Width=4.7 ft
Length=16.1 ft
Step-by-step explanation:
Let the width of the table to be x ft
Then the length should be two more than three times the width= 2+3x ft
The area of the serving table should be 75 ft²
But you know the area of this table is calculated by multiplying the length by the width of the table
Hence, Area= length× width
Length=x ft and width =2+3x ft
75ft²= (x ft) × (2+3x ft)

Apply the quadratic formula to solve this quadratic equation
The formula is ;
x= (-b ±√b²-4ac)÷2ac
where a=3, b=2 and c=-75
x= (-2 ± √2²-4×3×-75)÷(2×3)
x=(-2±√4+900)÷6
x=(-2±√904)÷6
x=(-2±30.1)÷6
x=(-2+30.1)÷6=4.683⇒4.7(nearest tenth)
or
x=(-2-30.1)÷6= -32.1÷6=-5.35⇒ -5.4
Taking the positive value
x=width =4.7 ft
2+3x= length= 2+3(4.7)=16.1 ft
Answer:
0.3, 0.32, 0.321, 0.345
Step-by-step explanation:
The maximum number of decimals shown in the series is 3.
Therefore, let's rewrite all the numbers with three decimal places.
0.32, 0.321, 0.3, 0.345 can be written as
0.320, 0.321, 0.300, 0.345
Now, we can easily compare the numbers and we can conclude:
0.300 < 0.320 < 0.321 < 0.345
Hence, the smallest to largest order is:
0.3, 0.32, 0.321, 0.345
9514 1404 393
Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.
Composite- 25,26,27,28,30,32,34,28,
Prime- 27,29,31,33