Answer:
The answer is 41
Step-by-step explanation:
400 = 900 + 625 - 1500 cos x
400 - 1525 = -1500 cos x
-1125 = -1500 cos
cos x = -1125/-1500
x = cos⁻¹ 0.75
x = 41.409622109
x ≈ 41°
Answer:
$42.09
Step-by-step explanation:
1. multiply the cost per gallon (3.45) by the gallons purchased (12.2)
3.45*12.2 = 42.09
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.
17) from least to greatest
1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1
