Answer:
Explanation:
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<u>1) Horizontal component</u>
The horizontal component is related to the magnitude of the force by the cosine ratio:
Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).
- cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74
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<u>2) Vertical component</u>
The vertical component is related to the magnitude of the force by the sine ratio:
Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).
- sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95
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<u>3) Form (x,y)</u>
Step-by-step explanation:
if a^2 +b^2 <c^2,
then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2
The area of a rectangle is A=LW, the area of a square is A=S^2.
W=S-2 and L=2S-3
And we are told that the areas of each figure are the same.
S^2=LW, using L and W found above we have:
S^2=(2S-3)(S-2) perform indicated multiplication on right side
S^2=2S^2-4S-3S+6 combine like terms on right side
S^2=2S^2-7S+6 subtract S^2 from both sides
S^2-7S+6=0 factor:
S^2-S-6S+6=0
S(S-1)-6(S-1)=0
(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:
S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...
W=S-2 and L=2S-3 given that S=6 in
W=4 in and L=9 in
So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.
1 because it can't be reflected over more than one line to be the same
Answer:
x = 17
Step-by-step explanation:
The two angles with measures form a linear pair and are supplementary.
The measures of supplementary angles has a sum of 180°.
If you add the two given measures, the sum must equal 180°.
4x + 2 + 110 = 180
4x + 112 = 180
4x = 68
x = 68/4
x = 17
