Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:
Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:
Now isolate the variable. Multiply both sides by x:
The x's on the right side cancel each other out. Simplify:
Now divide both sides by cos75°:
The cos75° on the left side cancels each other. Simplify:
Insert this value into a calculator to simplify the value of x:
The hypotenuse is 38.6 m.
:Done
A regular 12-sided polygon rotated 30 degrees is the minimum degrees so that it is rotated on itself.
2 is the lie and 1 and 3 are truths
Step-by-step explanation:
#1 : if you looking for x intercepts make y=0
0=2x^2+4x
0=2(x^2+2x)
Divide both sides by 2
0=x^2+2x
0=x(x+2)
Therefore x=0 or x=-2
1 is true
#2
We can sub in the value to see if it is true
2(-14,70)^2-42(-14.70)=1049,58
Therefore 2 is a lie
#3
we can solve
To find x we make y=0
0=3(x-5)^2-12
0=3(x^2-10x+25)-12
0=3x^2-30x+75-12
0=3x^2-30x+63
0=3(x^2-10x+21)
Divide both sides by 3
x^2-10x+21=0
Factorise
(x-7)(x-3)=0
Therefore x=7 or x=3
Therefore 3 is a truth
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