Answer:
Step-by-step explanation:
The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft
This means that the arrow is already 50 feets from the ground before moving upwards.
The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.
v^2 = u^2 + 2as
u = initial velocity = 320 feet per second.
1 feet per second = 0.305 meters per second
320 feet per second = 320× 0.305
= 97.6 feets per second
a = acceleration due to gravity =
- 32.17405 feet/second^2 because the arrow is moving upwards)
s =maximum height of the arrow
v = final velocity = 0 feet/second
Substituting into the equation,
0^2 = 97.6^2 + 2×- 32.17405 × s
0 = 9525.76 - 64.3481s
64.3481s = 9525.76
s = 9525.76/64.3481 = 148.03 feets
Total height from the ground would be
148.03 + 50 = 198.03 feets
Answer:
59.0
Step-by-step explanation:
c=31
b=90
90+31=121
180-121=59
56 rounded to the nearest 3 sf=59.0
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Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
A rational number that is not an integer can be expressed in decimal form with a non-zero digit after the decimal
