Volume=length*width*height
Volume is 144
Height is 12
Width is 2
144=L*2*12
144=L*24
144/24=L
6=L
Length is 6 yards
Answer:
6b+b^2 (b to the 2nd power)
Step-by-step explanation:
8b+b^2-2b (b to the 2nd power)
(8b-2b)+b^2
6b+b^2
Hopefully this helps :)
Answer:
Triangle rsu = Triangle tus
Statements Reasons
UR ≅ TS Definition of Rectangle
US ≅ US Reflexive Property
<U, <T, <R, <S are all congruent and right angles
Definition of Rectangle
ΔRSU ≅ ΔTUS Side, Angle, Side
UR ≅ TS CPCTC
Just draw a reverse angle,hence you get comparison.
So, satisfying S-S-S
RUS ≅ SUT
RSU ≅ TUS
So, angle
URS = angle TUS
2. Pythagoras Theorem
Triangle RUS
A^2 + B^2 = C^2
Uu^2 + Ss^2 = Rr^2
√Rr = Rr^2 = x
Triangle TUS
A^2 + B^2 = C^2
Ss^2 + Uu^2 = Tt^2
√Tt = Tt^2 = x
UR measure / sin (60) x (90) = US measure.
ST measure / sin (60) x (90) = US measure.
Proves angles RSU = 30 degree
Proves angles TUS = 30 degree
As all adjacent angles in a triangle add up to 180 degree.
Answer:
45
Step-by-step explanation:
If a(1) = 5, then a(2) = a(1)*3, or 5*3, or 15.
If a(2) = 15, then a(3) = a(2)*3, or a(3) = 15*3 = 45
This is a geometric sequence with first term a(1) = 5 and common ratio 3. We can immediately write the explicit formula
a(n) = 5*3^(n - 1), which correctly predicts that a(3) = 5*3^(3 - 1) = 5*9 = 45
