Which graph represents the solution set of the inequality x+2> 6?
1 answer:
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Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.
∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :
Plugging in values.
Multiplying both sides by 400.
∴
Height of flagpole = 571 ft
Answer:
(3x+2)(2x-5)(x³ -9)
Step-by-step explanation:
I like to use a graphing calculator to assist with factoring higher-degree polynomials. This polynomial has roots at -2/3, +5/2, and an irrational number near 2.08. The factors corresponding to the rational roots are (3x +2) and (2x -5).
Polynomial long division or synthetic division can be used to divide these out.
In each case, the divisor has a coefficient other than 1, so both dividend and divisor polynomials need to be divided by that coefficient before proceeding with synthetic division. (That is why there are fractions in the tableaux.)
The result is that the factorization in integers is ...
_____
The irrational roots are the three cube roots of 9, two of which are complex.
_____
Any of several different algorithms can tell you that the real roots will lie in the interval [-6, 6] or smaller. The rational roots will be of the form ...
±(divisor of 90)/(divisor of 6)
