Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.
b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²
Answer:
3
Step-by-step explanation
cause there are three rooms that need to be painted
Answer: 9 over 12 is = 15 over x
Step-by-step explanation:
Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.
Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
