Answer:
The T-shirt lands in the bleachers at a height of 14 feet.
Step-by-step explanation:
The point where they meet is the solution of the simultaneous system of equations:
...........................................(1)
..............................................(2)
From (2),
.................................................(3)
Substituting (3) in (1),
Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)
OR 
OR 
The value of <em>y</em> represents the height.
Substituting for <em>x</em> in (3)
We discard the negative answer.
Hence, the T-shirt lands in the bleachers at a height of 14 feet.
95% have a systolic blood pressure between 109 and 141
Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that mean (μ) = 125, standard deviation (σ) = 8.
68% are within one standard deviation = μ ± σ = 125 ± 8 = (117, 133)
95% are within two standard deviation = μ ± 2σ = 125 ± 2*8 = (109, 141)
95% have a systolic blood pressure between 109 and 141
Find out more on empirical rule at: brainly.com/question/10093236
Again, there are 12 months in a year, so 54 months is 54/12 years
In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.
A figure has been drawn to define the vertices and intersections.
The given lengths are also noted.
From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.
Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.
From triangle A F G, we use Pythagoras theorem to find
h1=A F=sqrt(20*20-12*12)=sqrt(256)=16
From triangle DFG, we use Pythagoras theorem to find
h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5
So the length of the other diagonal equals 16+5=21 cm
