Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
Answer:
False
Step-by-step explanation:
75%
21
28 5.88
21 x 28
100
= 5.88
x 100% = 75%33.3333333333%
28 - 21
21
x 100% = 33.3333333333%
1 hour = 60 minutes
13/60 = 0.2
answer: 0.2<span>m/min
</span>
Answer:
3240 in^3
Step-by-step explanation:
Step one:
given data
The dimension of the form
Length 40 and 1/2 inches long,
Depth 10 inches deep,
The width and 8 inches high
Step two:
The amount of cement is equivalent to the volume of the form
Hence the volume of cement is 3240 in^3
