It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.
If I'm reading that correctly, then the pond is 10-ft deep when the rainy
season begins, and after 'x' weeks later, the depth is
D = 10 (1.03)^x feet.
After 8 weeks, the depth is D = 10 (1.03)⁸ = 12.67 feet .
rounded to the nearest foot, D = 13 ft.
Answer:
Step-by-step explanation:
Correct option is
D
[1,(1+π)
2
]
f(x)=(1+sec
−1
(x))(1+cos
−1
(x))
Here the limiting component is cos
−1
(x), since the domain of cos
−1
(x) is [−1,1].
Therefore,
f(1)=(1+0)(1+0)
=1
f(−1)=(1+π)(1+π)
=(1+π)
2
Hence range of f(x)=[1,(1+π)
2
]
Highest common factor of 63 and 45 is 9.
Therefore there can be 9 bouquets each with 5 roses and 7 carnations
One angle of a triangle is 115 degrees.
The sum of the remaining angles is therefore 180-115=65°
If they are in a ratio of 2:11, then the smaller angle is 65*(2/(2+11))=10°
the larger angle is 65*(11/(2+11))=55°.
Check: 10+55=65°=180-115° ok.
Answer: the measures of the remaining angles are 10 and 55°
