Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
A) 8^2 + 12^2=c^2
c= 4(13) or 14.42
B) 8^2 + b^2=12^2
b=4(5) or 8.94
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is 
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.
Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:
0 < x ≤ 70, 0 < y ≤ 45 (1)
The vendor expects to sell no more than 50 ice creams, hence:
x + y ≤ 50
Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)
Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:
Revenue = 3x + 4.5y
At the point (5, 45), the revenue is:
Revenue = 3(5) + 4.5(45) = $217.5
Hi There!
<span>( 2 x 4 ) x 7 = 2 x (7 x 4 ) represents the associative property of multiplication. The associative property states of multiplication states, that you can multiply even how the numbers are grouped.
You can test this you're self.
1. Multiply 2*4=8 8 *7=56
2. 7*4=28 28*2=56
In conclusion, </span><span>( 2 x 4 ) x 7 = 2 x (7 x 4 ), uses the associative property of multiplication.
Hope this helps :)</span>