THEOREM:
<u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
x² = 6² - 3²
x² = 36 - 9
x² = 27
x = √27 units.
So, <u>Correct choice</u> - [A] √27 units.
Answer:
21.69% decrease.
Step-by-step explanation:
So we want to find the percentage change from 16.6 to 13.
First, since 13 is smaller than 16.6, we know that this is decrease.
The formula for percentage change is given by:
The new value is 13. The old value is 16.6. Put these into the equation:
Simplify the numerator. 13-16.6 is -3.6. Thus:
Multiply both the numerator and denominator by 10:
Reduce the fraction:
Use a calculator. Approximate:
We ignore the negative because the negative simply tells us that it's decreasing (on a side note, if the answer is positive, it's a percent increase). So, the percent change is an approximate 21.69% decrease.
Answer:
729/4x^12y^8
Step-by-step explanation:
Cancel out exponents and simplify.
Answer:
The two rates are 6% and 8%
Step-by-step explanation:
Call the two rates r1 and r2. Call p the principal. Write down the problem as an equation system:
which are 3 equations with 3 unknowns, so they can be solved. I first divide the two equations to get:
and use that in the third:
The two rates are 6% and 8%
The correct answer is 65 centimeters.