Answer:
22.07 ft & 9.32 ft
Step-by-step explanation:
by sines rule :
20/sin 65° = r/sin 90° = y/sin 25°
r = 20×sin 90°/sin 65° = 20/0.9063
= 22.07 ft
y = 20×sin 25°/sin 65° =
20× 0.4226/0.9063
= 9.32 ft
Answer:
--273
Step-by-step explanation:
100th term is equal a1 + 99d so
100th term = 222 + (-5×99) = -273
Answer: B
Step-by-step explanation:
y = azaleas
x = lilies
6y + 5x =196 total cost
y + x = 36 total number of items
y = 36 – x
6(36 -x ) +5x =196
216 – 6x + 5x = 196
-x = 196 – 216
-x = -20
Divide by -1
X = 20 lilies
Plug into y equation
Y = 36 – 20
Y= 16 azaleas
To check
6(16) + 5(20) = 196
96 + 100 = 196
Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.
AB/LM = BC/MN
8/12 = 14/MN
8(MN) = 12 * 14
8(MN) = 168
MN = 168/8
MN = 21
