Answer: 4/5
Step-by-step explanation:
Here, The hurdle track that is 1/5 of a mile long.
And, After extending the track, the length of the hurdle track = 1/4 of a mile
Therefore, the unit rate of length in the longer track per mile of length in the shorter track = the initial length of the hurdle track / the final length of the hurdel track
= 
= 
Answer:
154.10 Feets
Step-by-step explanation:
Given the following :
Height (h) of cliff = 320 feet
Angle of depression of near side = 16.5°
Angle of depression of far side = 10.5°
Using trigonometry :
We can obtain x and y as shown in the attached picture :
Tanθ = opposite / Adjacent
Adjacent = height of cliff = 320 Feets
For the near side :
Tanθ = opposite / Adjacent
Tan (16.5°) = x / 320
0.2962134 = x / 320
x = 0.2962134 * 320
x = 94.788318 Feets
For the far side :
Tanθ = opposite / Adjacent
Tan (10.5°) = x / 320
0.1853390 = x / 320
x = 0.1853390 * 320
x = 59.308494 Feets
Length of island = (59.308494 + 94.788318) feet
= 154.10 Feets
Answer:
Ratios of money made by Jackie and Liana = 
Step-by-step explanation:
We have given,
On selling a lemonade :
Money made by Jackie = $24
Money made by Liana = $36
We need to find the ratios of money made by Jackie and Liana by selling lemonade.
So, Ratio = Money made by Jackie / Money made by Liana
or , Ratio = 
or, Ratio = 
So, the ratios of money made by Jackie and Liana is 
Answer:
A. linear
Step-by-step explanation:
A linear model is the best-fitting regression model for the data plot because for similar variations in x values, the variation in y values are also similar, that is, if you take points (x1, y1), (x2, y2) and (x3, y3) the y1 - y2 is similar to y2 - y3, when x2 - x1 is also similar to x3 - x2.
Answer:
Mark has the correct answer. Ryan and Jessica both made mistakes in their calculations with computing negative integers.
Step-by-step explanation:
Looking at the graphing method first, we need to get both equations into the slope-intercept format (y = mx + b) to compare these variables:
y = 3x + 2 has a slope = 3 and y-intercept = 2
6x - 2y = 10 can also be written as -2y = -6x + 10 or y = 3x - 5 which also has a slope = 3, but a y-intercept = -5
Since both lines have the same slope, then we know they must be parallel and therefor, there is no solution.
Ryan used elimination to solve his system, however, when converting both equations to standard form (Ax + By = C), he forgot to make the '3x' from the first equation negative, or '-3x', which made the rest of his calculations incorrect.
Jessica used matrices and made the determinant for the system, x and y. Jessica set up her determinant correctly, however, when solving the system determinant, she did not multiply 3 x -2 correctly and instead put positive 6 instead of -6 which made her answer 12 instead of 0.