Answer:
4
Step-by-step explanation:
Answer:
m/7
Step-by-step explanation:
because m divided by seven is m/7 so that is the answer
Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
Answer:
Option 1,
The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
Step-by-step explanation:
Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.
As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.
For the first option: 35 cm, 41 cm, 43 cm

which shows that the sides are proportional.
we have to choose only one option ∴ we needn't have to check the others
Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
The pink is
and the purple is
. Have a great day!