A. The area of a square is given as:
<span>A = s^2 </span>
Where s is a measure of a side of a square. s = (2 x – 5)
therefore,
<span>A =
(2 x – 5)^2 </span>
Expanding,
A =
4 x^2 – 20 x + 25
<span>B.
The degree of a polynomial is the highest exponent of the variable x, in this case
2. Therefore the expression obtained in part A is of 2nd degree.</span>
Furthermore,
polynomials are classified according to the number of terms in the expression.
There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C.
The closure property demonstrates that during multiplication or division, the
coefficients and power of the variables are affected while during
multiplication or division, only the coefficients are affected while the power
remain the same.</span>
172.9
You find it by multiplying each side of the triangle by the height (9) and adding the results together.
A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
= 72.8 + 27.3 + 72.8
= 172.9
Answer:-tan (50) -tan (0) - tan (50) tan (0)
Step-by-step explanation:
any expression divided by one stays the same; simplify the expression using the symmetry of trigonometric functions.
Answer:
317,988,000
Step-by-step explanation:
We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.
Let us find number of people increased in 1 minute as:
Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.
Upon multiplying 5,781,600 by 55, we will get:
Therefore, the population of United States would increase 317,988,000 in 11 years.
Answer:
x ≈ 54.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 54.8° ( to the nearest tenth )
