Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.
Answer:
2.40g + 1.20c ≤15
Step-by-step explanation:
Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20
Let g = liters of goats milk
c = liters of cows milk
What we are buying is the liters times the cost
2.40g + 1.20c
This must be less than or equal to 15 dollars
2.40g + 1.20c ≤15
Answer:
x≥(500-87)/40
Step-by-step explanation:
You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
