Answer:
(a)
(b)
(c)Using Linear Approximation,L(4.2)=137.6
Using Quadratic Approximation,
Step-by-step explanation:
Given:
(a)Linear Approximation,
(b)Quadratic Approximation,
(c)To approximate:
L(x)=48x-64
L(4.2)=48(4.2)-64=137.6
Also, Using Quadratic Approximation
Answer:
48 degrees
Step-by-step explanation:
<u>1) Solve for x</u>
Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:
Open up the parentheses
Subtract 20 from both sides
Divide both sides by 5
Therefore, x is equal to 14.
<u>2) Determine angle A</u>
Substitute x with 14
Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
Answer:
- w = 8
- x = 8√2
- y = 8√2
- z = 16
Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
Answer:
Depth = 7.06 m
Velocity = 11.77 ms-1
Step-by-step explanation:
We use the equation of motion:-
s = ut + 1/2 g where s = distance fallen , t = time , u = initial velocity and g = 9.81 ms^-2 , the acceleration due to gravity.
So s = 0(t) + 1/2 * 9.81 (1.2)^2
= 7.06 m to nearest tenth.
We use another equation of motion to find the final velocity:-
v^2 = u^2 + 2gs where v = final velocity
v^2 = 0 + 2*9.81 * 7.06
= 138.52
v = √138.52 = 11.77 m s-1
f(x + n) - translate n units left
f(x - n) - translate n units right
f(x) + n - translate n units up
f(x) - n - translate n units down
We translate the graph 1 unit down, therefore we have f(x) - 1. Substitute to the equation of function f(x) = |2x| - 1
f(x) + 1 = |2x| - 1 - 1 = |2x| - 2 = 2|x| - 2