How high up on the wall will a 20-foot ladder touch if the foot of the ladder is placed 5 feet from the wall? Round to the neare
st tenth
2 answers:
The ladder with a length of 20 feet makes 19.4° with the ground.
Length of the ladder = 20 feet
Distance of base of the ladder from the wall = 5 feet
<h3>What is the Cosine of an angle?</h3>The cosine of an angle is the ratio of the adjacent side(to that angle) to the hypotenuse of the right triangle.
Suppose the ladder makes from the ground.
So,
°
Thus, the ladder makes 19.4° with the ground.
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Answer:
The binomial: (x-2) (second option of the list) is a factor of the given trinomial
Step-by-step explanation:
You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:
Their product "a times b" results in: "+14" (the numerical term in the initial trinomial ,
and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)
Such number "a" and "b" are: "-2" and "-7".
We can see by multiplying the binomials formed with these numbers:
(x-2) and (x-7) that their product indeed renders the original trinomial:
therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.
The only one shown among the four possible options is then: (x-2)