Answer:The lateral surface area Al of the triangular prism is 270cm^2
Step-by-step explanation:
An equilateral triangle has all 3 sides equal = 6 cm each
The height of the container is 15cm
Lateral surface area,Al =(a + b + c)h
Al= (6+6+6)15
Al= (18)15 = 270cm^2
Answer:
B, x=5
Step-by-step explanation:
Both triangles are similar with a ratio of 22.5/9
so using that an equation can be created like this, 
= 
If simplified, 22.9(x + 4.44) = 23.5(9)
22.5x + 99 = 211.5
22.5x = 112.5
<u><em>x = 5</em></u>
It is given that
a+b=20 -------------------- (1)
b+c=30 -----------------------(2)
We have to calculate
3 a + 4 b +7 c
Now multiplying equation(1 )by 3,we get
3 a+ 3 b=60 ----------------------------------(3)
and Multiplying equation( 2) by 4,we get
4 b + 4 c=120 -----------------------------------(4)
Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.
3 a+ 3 b+ 4 b+ 4 c=60+120
Adding like terms, we get
3 a+ 7 b+ 4 c =180, Which is the required solution.
Answer:
6:11
Step-by-step explanation:
There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.
