Answer:0.77
Step-by-step explanation:
Answer:
Twine needed to wrap 29 cartons = 51.55 yards
Explanation:
1 feet = 0.3333 yard
1 inch = 0.0277778 yard
Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches
= 1 + 2 x 0.3333 + 4 x 0.027778
= 1.777712 yards.
Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.
Twine needed to wrap 29 cartons = 51.55 yards
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
4x+2=-2
4x=-2-2
4x=-4
x=-4/4
x=-1
