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: The molds density of the mold is 11:11
Step-by-step explanation:
2500 * 0.9 = 2250
2250 * 0.9 = 2025 current stock
We have for this case:
For each language we have:
Number of people who speak Spanish:
Spanish = 8 + 4 = 12
Number of people who speak Chinese:
Chinese = 5 + 6 = 11
Number of people who speak both languages:
Both = 3 + 2 = 5
Adding we have:
12 + 11 + 5 = 28
Answer:
28
option A
Answer:
Area of circle = 200.96 units²
Step-by-step explanation:
The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)
So the diameter is 16 and of 16 is 8, which is the radius.
Sub it into the formula of a circle and you would get the area of a circle.
3.14 x 8²
Use calculator
Area of circle = 200.96 units²