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
Answer:
Step-by-step explanation:
u+6 = - 5 Subtract 6
u + 6 - 6 = - 5 - 6
u = - 11
Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?
The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.
Answer: A. 35+1
B. 20+ 5z
C. 4 + 12
Step-by-step explanation:
This is just using the distributive property which is like foiling