Answer:
approximately 27 grams
Work Shown:
Half life formula
y = A*(0.5)^(x/H)
where,
A = starting amount = 30 grams
H = half life period = 90 years
x = number of years that pass by = 12
y = amount left over after x years
Let's plug the values for x, A and H into the formula to find y
y = A*(0.5)^(x/H)
y = 30*(0.5)^(12/90)
y = 27.3516746567466
y = 27 .... rounding to the nearest whole number
Shape b has the shaded area closest to 63%
2x + 3y = 1,470
To solve using the slope intercept method, we need to solve for y.
First, subtract 2x from each side.
3y = -2x +1470
The, we need to divide both sides of the equation by by 3 to solve for y
y = -2/3 x + 490.
We know the y intercept is 470, which means on the y axis we place at point at positive 490. The slope is -2/3. We go down 2 units and over to the right 3 units and place a point. We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials. We cannot have negative y, because y is the number of specials sold.
Answer:
16.24°
Step-by-step explanation:
Are you trying to find the angle of depression from the camera to the cashier?
Assume that the camera is 2.24 m high and the cashier is 7.69 m away.
1. Angle of elevation from cashier
tanθ = 2.24/7.69 = 0.2913
θ = arctan(0.2913) = 16.24°
2. Angle of depression from camera
∠ of depression = ∠ of elevation = 16.24°
