Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
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Image:</h3>
Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
If the original logo is 2 inches wide and the logo has to be 8 inches wide, then the new logo will be 4 times larger. Therefore, we have to multiply 1.5 by 4 to get our new height.
1.5 x 4 = 6 inches tall.
Hope this helped!
