Answer:
c = sqrt(11)
Step-by-step explanation:
We can use the pythagorean theorem to calculate the length of the hypotenuse.
c^2 = a^2 +b^2 where a and b are the legs and c is the hypotenuse
c^2 = 3^2 + (sqrt(2))^2
c^2 = 9 + 2
c^2 =11
Take the square root of each side.
sqrt(c^2) = sqrt(11)
c = sqrt(11)
Answer:
30
Step-by-step explanation:
Set up the proportion y=kx k equals y over x
y=2x
y=30 if x is 15
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
To leave something in terms of pi means that you don't have to multiply any numbers by pi when solving; you would just add it to the end. This makes the math much easier to do.
V=pi*r^2*h
V=pi*6.5^2*8
V=338pi
:)
Answer:
1/5
Step-by-step explanation:
10/10-1/10=9/10=Colin and Sarah share
2x+7x=9x=Colin and Sarah share
9x=9/10
x=1/10
Colin=2x=2/10=1/5
