Answer:
The denominators of fractions are : 2 and 10
Step-by-step explanation:
![\text{Let the two fractions be : }\frac{1}{x}\thinspace and\thinspace \frac{1}{y}\\\\\implies \frac{1}{x}+\frac{1}{y}=\frac{3}{5}\\\\\implies 5\cdot x +5\cdot y-3\cdot x\cdot y=0](https://tex.z-dn.net/?f=%5Ctext%7BLet%20the%20two%20fractions%20be%20%3A%20%7D%5Cfrac%7B1%7D%7Bx%7D%5Cthinspace%20and%5Cthinspace%20%5Cfrac%7B1%7D%7By%7D%5C%5C%5C%5C%5Cimplies%20%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D%3D%5Cfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5Cimplies%205%5Ccdot%20x%20%2B5%5Ccdot%20y-3%5Ccdot%20x%5Ccdot%20y%3D0)
By hit and trial method, if we put x = 2 and y = 10 then the resulting equation (1) is satisfied and all the conditions hold.
So, the denominators are 2 and 10
Step-by-step explanation:
the second equation should be multiplied by 9
Answer:
5 inches
Step-by-step explanation:
The formula to find the surface area of a cylinder is A = 2πrh + 2πr²
Since we need the height we will need to solve for h
- First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
- Then we can divide both sides by 2πr to get
Now we can plug in our known values and solve for h
- Here we were given the diameter, d, however this formula is in terms of the radius, r.
- The diameter is equivalent to double the radius, d = 2r
- Therefore the radius is equivalent to half the diameter,
- Plugging in d to solve for r we get
which simplifies to r = 1
The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height
- The height is 5 inches
Answer:
h = 14
Step-by-step explanation:
-98 = -7h
/-7 /-7
14 = h
Answer:
B.
Step-by-step explanation:
The first number minus the 2nd number will close off the distance.