Answer:
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ------> the length of the remaining side
Applying the triangle inequality theorem
1) x+x > 30
2x > 30
x > 15 in
The perimeter is equal to
P=30+2x
<em>Verify each case</em>
1) For P=41.0 in
substitute in the formula of perimeter and solve for x
41.0=30+2x
2x=41.0-30
x=5.5 in
Is not a solution because the value of x must be greater than 15 inches
2) For P=51.2 in
substitute in the formula of perimeter and solve for x
51.2=30+2x
2x=51.2-30
x=10.6 in
Is not a solution because the value of x must be greater than 15 inches
3) For P=72.4 in
substitute in the formula of perimeter and solve for x
72.4=30+2x
2x=72.4-30
x=21.2 in
Could be a solution because the value of x is greater than 15 inches
4) For P=81.2 in
substitute in the formula of perimeter and solve for x
81.2=30+2x
2x=81.2-30
x=25.6 in
Could be a solution because the value of x is greater than 15 inches
therefore
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
6.4 is the answer to your question
Answer:
2.25 ft
Step-by-step explanation:
Perimter= 28ft
W= x ft
L= 3x+5
but
P=2L+2W
substitute
28=2*(3x+5)+2x
28=6x+10+2x
collet like terms
28=8x+10
28-10= 8x
18=8x
divide both sides by 8
x= 18/8
x=2.25 ft
Hence the width is 2.25 ft
3[x + 3(4x - 5)] = 15x - 24
3(x + 12x - 15) = 15x - 24
3(13x - 15) = 15x - 24
39x - 45 = 15x - 24 |add 45 to both sides
39x = 15x + 21 |subtract 15x from both sides
24x = 21 |divide both sides by 24
x = 21/24
x = 7/8
Answer: -3
Step-by-step explanation:
We can check our work my multiplying -3 by -9 and see that it equals 27
![-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27](https://tex.z-dn.net/?f=-9%2A%5B%5Cfrac%7B27%7D%7B-9%7D%20%20%3D%20-3%20%5D%2A%20-9%5C%5C27%20%3D%2027)
