Answer:
A ≈ 269.81 cm²
Step-by-step explanation:
This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.
A = 
Where s is the length of the sides
Substitute:
A =
A = 
Solve:
A =
A = 
Multiply the numerator:
A =
A ≈ 
(The numerator reflects a rounded number, but the actual calculations are exact)
Divide the fraction:
A ≈
A ≈ 2.6(100)
Multiply:
A ≈ 2.6(100)
A ≈ 269.81 cm²
Therefore, the area is approximately 269.82 cubic centimeters.
We need to find the value of the hypotenuse in order to solve this problem.
12^2+4^2=H^2
Therefore:
H=√(144+16)
H=4√10
Now:
sin(G)=O/H=4/(4√10)
=1/(√10)
=(√10)/10
Answer:
Answer: There are 21 eggs left.
Step-by-step explanation:
One carton has 12 eggs.
2 cartons are two times one carton, so two cartons have 2 times 12 eggs.
2 * 12 = 24
There are 24 eggs in two cartons.
Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.
24 - 3 = 21
Answer: There are 21 eggs left.
Part A) y = 2x
Part B) 10 packages because in 5 gallons of ice cream there’s 80 cups and if its only sold in packs of 8 you divide 80 by 8 and get 10
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
