The length of the altitude is 
Explanation:
Let ABC be an equilateral triangle.
It has sides of length 16 cm
Let AD be the altitude of the triangle.
We need to determine the length of an altitude.
Let AC = 16 cm and CD = 8 cm
Let us consider the right angled triangle ADC
Using the Pythagorean theorem, we have,

Substituting the values, we get,




The length of the altitude is 
Answer: 19/50
Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. In this case, 38% can be written as the ratio 38 to 100 or 38/100. Notice however that 38/100 is not in lowest terms so we need to divide the numerator and denominator by the greatest common factor of 38 and 100 which is 2.
38 ÷ 2 = 19
100 ÷ 2 = 50
<em>Therefore, 38% can be written as the fraction 19/50 which is in lowest terms.</em>
Answer:
$5,000
Step-by-step explanation:
Create a proportion:
11/100 = 550/x
100(550)/11
5,000= x
Answer:
7 
Step-by-step explanation:
In order to solve an equation like this, you'll need to find a common denominator for your Fraction.
7
+ 
7
+ 
7 
(x^4 - 9)(x^3 + 9)
This is a binomial * binomial. Use the FOIL method for multiplying.
First, outer, inner, last.
x^4 * x^3 = x^7
x°^4 * 9 = 9x^4
-9 * x^3 = -9 x^3
-9 * 9 = -81
Putting it back together.
x^7 +9x^4 -9x^3 - 81