Answer:
F= 4 4/6
Step-by-step explanation:
Lets break it down
3 1/6 + f - 7 5/6
3 plus what equals 7 answer 4!
1/6 pls how many more sixths equals 5/6th answer 4/6 ths
so overall you combine the two answers for whole and fraction an
Hi Vance :)
a=leg unknow
b=leg
c=hypotenuse
a²+b²=c²
a²=c²-b²
a²=145² - 144²
a²=21,025 - 20,736
a²=289
a=√289
a=17
unknow leg = 17 units
Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
((4x+15)/(5x)) = 1/2
4x+15 = (5x)/2
8x+30=5x
3x+30=0
3x=-30
x=-10
Mean:
21.14
Median:
12
Range:
3