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:
=12
Step-by-step explanation:
7=3(0)-5
7=-5
7+5
=12
Im pretty sure this is the answer
Angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°
Answer:
This is a geometric sequence with a common ratio of -4
Step-by-step explanation:
Take the second term and divide by the first term
-4/1 = -4
Take the third term and divide by the second term
16/-4 = -4
Take the fourth term and divide by the third
-64/16 = -4
This is a geometric sequence with a common ratio of -4
