Answer:
a = 76 b = 22 c = 58 d = 68
Step-by-step explanation:
A. 180 - 133 = 47
so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76
B. 68 + 90 = 158
You subtract the 158 from 180 and get 22
C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense
D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.
Sorry, not the best at explanations. Hope that helped
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.
Answer:
3
Step-by-step explanation:
All you need to do is add the fractions (2/5 + 3/5 = 5/5 or 1) and then add the whole numbers (1 + 1 = 2) and then when you add those answers (1 + 2) you get 3! I'm sorry if that was a really bad explanation,, this is my first time answering a question lol.
Answer:
f(t) = 4 - 3t + 2t^2
Step-by-step explanation:
Given:
f(t) = a + bt + ct^2
Differentiate w.r.t. "t"
f'(t) = b + 2ct
1) f(1) = 3
a + b +c = 3...........1)
2) f(2) = 6
a + 2b + 4c = 6.........2)
3) f'(1) = 1
b + 2c = 1 ...............3)
Solving above three simultaneous equations:
a = 4
b = -3
c = 2
Therefore equation becomes:
f(t) = 4 + (-3)t + (2)t^2
Answer:
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Step-by-step explanation:
b: vertical stretch or compression and reflection across x-axis
a: horizontal stretch or compression and reflection across y-axis
h: horizontal shift (left and right)
k: vertical shift (up and down)
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
