Answer:
v = 124 cm³
Step-by-step explanation:
The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,
v = a³
v = 4³
v = 64
Now, for the rectangular prism.
v = l · w · h
v = 10 · 3 · 2
v = 60
Now, for the total collective volume, simply add up the volumes of the independent shapes.
64 + 60 = 124 cm³
Answer:
D.120
Step-by-step explanation:
The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120
N 4
Part A
a) 7a+2a+3b-------> (7a+2a)+3b-----> 9a+3b
b) 8p+2p-7q-------> (8p+2p)-7q------> 10p-7q
c) 9a²+2a²+5a-----> (9a²+2a²)+5a---> 11a²+5a
d) 5ab+2ab-7a-----> (5ab+2ab)-7a---> 7ab-7a
e) 7+2a-a------> 7+(2a-a)-----> 7+a
f) 2a+3b+5a+2b---> (2a+5a)+(3b+2b)-----> 7a+5b
g) 6p+2q-4p+4q---> (6p-4p)+(2q+4q)----> 2p+6q
h) 9m²+7m²+5m-3m-----> (9m²+7m²)+(5m-3m)------> 16m²+2m
i) 7a²+4a-2a²+7----> (7a²-2a²)+4a+7------> 5a²+4a+7
j) 10p-3q+p-7p-----> (10p+p-7p)-3q------> 4p-3q
k) 3x²+2x-2x²+3x+x²---> (3x²-2x²+x²)+(2x+3x)-------> 2x²+5x
N 5
a) If Julie buys 4 boxes and Michelle buys 7 boxes
in total
(4+7)*n-----> 7*n
the answer Part 5 a) is 7*n
b) (5kg+3kg)*b---------> 8*b
the answer Part 5 b) is 8*b
c) (3+4+6)*x-------> 13*x
the answer Part 5 c) is 13*x
N 6
a) L+B+L+B------> (L+L)+(B+B)-----> 2*L+2*B-----> 2*(L+B)
b)
1) L+L+L-----> 3*L
2) 5+5+5+5-----> 5*4
3) x+x+y-----> 2*x+y
4) a+b+c+c----> a+b+2*c
N 7
a) s+s+s+s+s+s+s+s------> 8*s
b) t+t+t+t-----> 4*t
c) t+t+t+t+t+t----> 6*t
d) t+t+t+s+s----> 3*t+2*s
e) t+t+t+s+s+s----> 3*t+3*s
f) 12*t+6*s
g) 10 squares+12 triangles-----> 10*s+12*t
h) n squares+m triangles-----> n*s+m*t
