Answer:
-5
Step-by-step explanation:
4x0.5=2
2x0.5=1
2+1=3
3-8=-5
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Length x width = area
<span>but
1feet=12</span><span>inches
</span>8 x 12=96
10<span>x96=960</span>
Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation: Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.
Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.
Let, the park ranger will work for 'x' more hours. So, we have
Thus, the park ranger will need to work for 10 2/3 more hours.
Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.
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