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
Answer:
Porosity of the sand is, 20 %.
Step-by-step explanation:
So according to the question,
10 mL of sand contains (5 - 3) mL = 2 mL of water and this water fills the gaps or pores between the sand partcles. So, porosity of the sand is given by,
%
= 20 %
Answer:
I hope this explains it
Step-by-step explanation:
The first box is for the fractions smaller then a whole number for example 2/5
2 is smaller then 5 so you put it in the first box Answers14/17 and 29/30
The second box is for fractions that equal 1 so itself like 9/9 or 2/2 Answers 16/16 22/22
The last box is for fractions bigger then 1 so for example 10/5 ten is bigger then five Answers 18/11 and 25/19
3.20 for 8 ounces would be 25.60 or 25.6
The answer x=-3/2
Multiply both sides by 3 then multiply both sides by 5 last divide both side by those and you will get -6 so you would divide those and get your answer
