Answer:
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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:
A is the midpoint
Step-by-step explanation:
Given
A(5.2) B(6,-3) and C(4.7)
Required
Which is the midpoint
Midpoint is calculated using:
Testing A as the midpoint, we have:
<em>The above equation is true. Hence, A is the midpoint of B and C</em>
20 quarters
5x 4 =20
hope it helped bye
Answer:
-9
Step-by-step explanation:
Simplify the following:
-6×(-2)/4 (-3)
-6×(-2)/4 (-3) = (-6 (-2) (-3))/4:
(-6 (-2) (-3))/4
The gcd of -2 and 4 is 2, so (-6 (-2) (-3))/4 = (-6 (2 (-1)) (-3))/(2×2) = 2/2×(-6 (-1) (-3))/2 = (-6 (-1) (-3))/2:
(-6-1 (-3))/2
(-6)/2 = (2 (-3))/2 = -3:
--3 (-3)
-3 (-1) = 3:
3 (-3)
3 (-3) = -9:
Answer: -9
