Given:
In a right angle triangle,
Perpendicular = 8 units
Base = x units
Hypotenuse = 17 units
To find:
The exact value of x.
Solution:
The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.
Taking square root on both sides.
Side cannot be negative. So, .
Therefore, the required value is and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).
The correct answer is option B which is {x | x ≤ 4.5}
<h3>What is a number line?</h3>
A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.
Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.
A solid dot on a number means that that number is included in the solution set.
In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.
Therefore the correct answer is option B which is {x | x ≤ 4.5}
To know more about number lines follow
brainly.com/question/4727909
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Angle y is congruent to angle h
The equation for the situation above is
y=20x+35
Here we're applying a basic physics rule for vertical motion where the only pull on the object is gravity.
This rule has the form
h(t) = h + v t + (1/2)a*t^2
o o
To adapt this rule to this particular question replace h with 0, as the
o
upward path of the object begins at 0 ft. Replace v with +15 ft/sec.
o
Replace "a" with (-32.2 ft/(sec^2); this is the acceleration due to gravity.
Then we have the following, with the label F(t):
F(t) = 0 + (15 ft/sec)t + (1/2)(-32.2 ft)/(sec^2), or
F(t) = 15t - 16.1t^2. Thus, Choice D is correct.
Please note: To avoid confusion, please use " ^ " to denote exponentiation:
F(t) = -16t^2 + 15t