B. The product of two irrational numbers if rational
Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.
Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
Answer:
Step-by-step explanation:
The trick is to find the third angle
180 - A - <BCA = <CBA
180 - X - <BCX = <CBX
Everything else is OK
<CBA = <CBX Equals equated to an equal express = an equal expression.
Now by a little slight of hand, you get the two triangles to be equal by ASA, which always works.
Cheating you say? There is no such thing as cheating if it correct and it works.
1.924 and 5.77
step 1: find the mean by adding up all the numbers and divide the sum by the number of numbers.
step 2: find the difference between each number and the mean, square the difference
step 3: add up all the results of step 2, divide the sum by (n-1), n is the number of numbers.
step 4: square root the result of step 3.
it is a long process.
Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y
Area of a triangle is base times height divided by 2:
1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy
But a normal area would be 50% of xy
78% - 50% = 38%
ANSWER: 38% increase