Answer: EP is 12 and EO is about 10.91.
To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.
5^2 + (EP)^2 = 13^2
EP = 12
Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.
5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.
-8t+6+6t=5t-2
-2t+6=5t-2
-2t-5t=-2-6
-7t=-8
-7 -7
T=1.14 or 1 1/7
X liters of 10% + (30 - x) liters of 22% = 30 liters of 15%
<span>Plugging in the numbers </span>
<span>x(10) + (30 - x)22 = 30(15) </span>
<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>
<span>Combine like terms </span>
<span>-12x = -210 </span>
<span>Divide both sides by -12 </span>
<span>x = 17.5 </span>
<span>30 - x = 12.5 </span>
<span>17.5 liters of 10% + 12.5 liters of 22% = 30 liters of 15%
THE TRICK IS TO JUST USE ONLY ONE VARIABLE</span>
All angles in a triangle add to 180 so
B = 180 - 90 - A
B = 90 - 20.8
B = 69.2
Can find b with tangent of A
tangent is opposite over adjacent.
opposite to A = 20.8 is 11.2 and adjacent is b
tan(20.8) = 11.2 / b
b = 11.2 / tan (20.8)
b = 29.5
c can be found with sine of A
sin(20.8) = 11.2 / c
c = 11.2 / sin(20.8)
c = 31.5
B = 69.2°, b = 29.5, c = 31.5
Answer:
a) 3xy
b) 36
Step-by-step explanation:
12x²y , 9xy², 21xy
a) GCF: 3xy
b) width = 3 x 3 x 4 = 36
