Answer:
a. LK = 4√3, JL= 4√6
b. PQ = 10√3, RP = 5√3
Step-by-step explanation:
a. LK =4√3,
LK=KJ= 4√3
sin(45°) = opposite/hypotenuse
hypotenuse (JL)= opposite/sin 45° = 4√3/√2/2 = 8√3/√2 = 8√3√2/2 = 4√6
b.
cos 30° = adjacent/hypotenuse = QR/PQ = 15/PQ
cos 30° = 15/PQ
PQ = 15/cos 30° = 15/√3/2)= 30/√3 = 30√3/3 = 10√3
tan 30° = opposite/adjacent = RP/QR
√3/3 = RP/QR
√3/3 = RP/15
RP = √3*15/3 = 5√3
Since volume=length*width*height you can set up the problem like
v=14*(3*14)*10
after multiplying all that you get
v=5880 inches cubed
Answer:
18,21,36
Step-by-step explanation:
- You can use Algebra to solve it x+x+3+2x=75 or 4x+3=75 will give you the answer 18
- 18 then plus 3 is 21
- so 18 plus 21 is 39
- Then the greatest number is 18x2=36
- 39+36=75
Short Answer: SSS <<<<<< Answer
Argument
LJ = KM Given (Marked with a double arrow)
JM = KL Given (Marked with a single arrow)
JK = JK A line is equal to itself
Therefore Triangle JKL ≡ Triangle JKM
D <<<<< Answer
