Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
G= 93 to 147
Step-by-step explanation:
From the question we are told that
Mean x = 120
Standard deviation o = 9
Percentage for men =99.75%
Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 9
Mean x= 120
Generally the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = mean + 3 * o
G = 120 + 3 * 9
G = 93 to 147
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Answer:
3_5/6 hours
Step-by-step explanation:
<u>2_ 1/3 = 2_ 4/12</u>
<u>1_3/4 = 1_6/12</u>
2_4/12 + 1_6/12 = 3_10/12
3_10/12 = 3_5/6