Add up all sides lengths:
s+6 + s+6 + s + s + 2s = 102
solve for s:
6s + 12 = 102
6s = 90
s= 15
The lengths of sides are as follows:
15, 21, 21, 15, 30 inches
I hope that
helps!
Answer:
The values of x and y that satisfy the equation are 2 and 2, respectively.
Step-by-step explanation:
Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:
Real component
(1)
Imaginary component
(2)
The solution of this system of equations is
and
.
The values of x and y that satisfy the equation are 2 and 2, respectively.
Answer:
9 teams
Step-by-step explanation:
If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.
36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))
using this knowledge, we can then count up:
1+2+3+4+5+6+7+8 = 36
If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.
The answer to the question above as to which system of equations can be used to model the situation of Graham and Hunter when a cable lifts Graham into the air at a speed of 1.5 ft/s and Hunter throws the ball from a position of 5 ft. above the ground with an initial velocity of 24 ft/s. the equation will be : H = 18t + 1.5t - 16t ^ 2
H = 5 + 24t - 16t ^ 2