Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:
2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.
Answer:3/8
Step-by-step explanation:
5/8 of the staff are male. The entire staff is represented by the fraction 8/8. Taking 5/8 from this, what we have left is
8/8-5/8 = 3/8 of the staff are female.
Answer:
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
<em>h</em><em> - height</em>
<em />
We have:
Substitute:
Answer:
22m²
Step-by-step explanation:
Area of parallelogram is simply the base length x height.
In this case, base length = 4m and height = 5.5m
hence,
Area = 4 x 5.5 = 22m²
