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:
8/3
Step-by-step explanation:
keep change flip
-3 1/3 (turn the divide into multiplication) and flip the fraction- 1/2 -2/1
-4/3 times -2/1
Answer:
A. 45%=45/100=9/20
Step-by-step explanation:
45% is 45 out of 100 or <em>45/100</em>
9 divided by 20 equals <em>0.45</em>
They are both equal to 45%