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
9.045 is the number added to 0.034 to obtain 9.079
$15 x 4 hrs = $60 in wages.
$13.25 x 2CD's = $26.50.
$60 - 26.50 = $33.50 left
85! Because there are 128 oz. in a gallon and there are 4 gallons. 128x4=512 divide 512 by 6 and get 85.333 85 is the greatest amount.