Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
Answer:
D
Step-by-step explanation:
the 2 square root terms can be combined under one large square root.
and the general multiplication factor of 2 remains on the outside.
2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =
2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)
Answer:
115% of 75 is equivalent to 75 by 1.15 = 8.625 , This two are equivalent
Step-by-step explanation:
Given as :
Tyson multiplies 75 by 1.15
I .e 75 × 1.15 = 86.25
Now A ) 115% of 75 = 
× 75 = 86.25
B) 15% of 75 = 
× 75 = 11.25
C) 11.5% of 75 = 
× 75 = 8.625
D) 1.15% of 75 = 
× 75 = 0.8625
∵ 115% of 75 is equivalent to 75 by 1.15 , so Tyson try to find the option A
Answer
Answer:
a) The cost of ribeye steak dinners is $ 16.96.
b) The cost of grilled salmon dinners is $ 23.37.
Explanation:
Let the cost for ribeye steak dinners be m and cost for grilled salmon dinners be n.
A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day.
So, we have
10 m + 18 n = 590.39 -------equation 1
Another day she sold 22 ribeye steak dinners and 9 grilled salmon dinners, totaling $583.49
So, we have
22 m + 9 n = 583.49 -------equation 2
equation 2 x 2
44 m + 18 n = 1166.98 -------equation 3
equation 3 - equation 1
44 m + 18 n - ( 10 m + 18 n ) = 1166.98 - 590.39
m = 16.96 $
Substituting in equation 1
22 x 16.96 + 9 n = 583.49
n = 23.37 $
a) The cost of ribeye steak dinners is $ 16.96.
b) The cost of grilled salmon dinners is $ 23.37.
Here are the steps on how I did it.
