Answer:
Option 4 is the image of the given figure.
Step-by-step explanation:
We are given that,
The shape EFGHCD is transformed to form another shape.
From the options, we see that,
Figure 2 and 3 does not have the same vertices as that of the figure.
So, they are discarded.
Since, after transforming a figure, we get a new figure.
So, the vertices cannot have same name as that of the original figure.
So, option 1 is discarded.
Thus, we get,
Option 4 is the image of the given figure after transformation as shown below.
Let the smaller one is x so the larger is x+1
x(x+1)=1332
x^2+x=1332
x^2 +x -1332 =0
(x - 36)(x + 37) =0
so x = 36 or x = -37
therefor the larger integer is either 37 or -36
The perimeter of the triangle, namely the sum of all its 3 sides, is 110.
now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.
now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.
110/22 = 5
the small side is then 6(5).
the medium side is 7(5).
and the largest side is 9(5).
add them up, and you'd get the perimeter, 110 inches.
Answer:
Step-by-step explanation:
1)
Tri. prism:
B = base = 1/2 a c
base = 1/2 * 6 * 6 = 18
volume = Bh
v = 18*4
v = 72
Rec. prism
volume = 4*6*6
v = 144
total volume = 144+72
vt = 212
2)
top rec. = 2*3*5=30
bot rec. = 4*5*6=120
vt = 30 + 120
vt = 150
