Answer:
2 over 4
Step-by-step explanation:
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
Answer:
Roasted Steak RS=14.47
Grilled Salmon GS= 25.21
Step-by-step explanation:
It's a 2 equation system as follows
E1-> 17RS+14GS=598.95
E2-> 28RS+7GS=581.64
We assume the system has only one solution and apply the following calculation to create a single equation
E3 -> 2x E2 -E1
That way the only incognit will be RS
(28x2 - 17) RS + (7x2 - 14) GS = 581,64x2- 598,95
39RS= 564,33
We solve for RS and then use E1 to solve for GS and E2 to check the answers