Answer:
4th one
Step-by-step explanation:
Answer:
960 ft
Step-by-step explanation:
We need to find the surface area. To do this, let's see the shapes that are present. There are two triangles with a base and height of 9 and 12, respectively. There is one rectangle with a base and height of 24 and 15, one with base and height of 24 and 12, and finally one with a base and height of 24 and 9.
The areas are:
Triangles: 1/2bh = 1/2(9)(12) = 48 (there are two of these)
Rectangle 1: bh = (24)(15) = 360
Rectangle 2: bh = (24)(12) = 288
Rectangle 3: bh = (24)(9) = 216
Adding all these areas together, we get 960.
Thus, Monique will need 960 feet of fabric to cover the prism.
Hope this helps!
The regular hexagon has both reflection symmetry and rotation symmetry.
Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.
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Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°
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Step-by-step explanation:
4-17x^2+16=0 s
Calculate multiply
20-17x^2=0
Reoder the term
-17x^2+20=0
Calculate the discriminat
D=0^2-4x(-17)x20
Simplify
D=1360
The quadric equation has 2 real solutions
So your Solution is :
2 real solutions
4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
