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erik [133]
3 years ago
6

A farmer grows vegetables on a rectangular plot of land. The length of the plot is labeled in the diagram below. If the perimete

r of the plot is (6x2 + 46x + 68) meters, what is its width?
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

Step-by-step explanation:

solve the question then divide

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Sam is walking across a bridge and accidentally drops an orange into the river basin below
irina1246 [14]

Answer:

We assume that the orange is dropped at t = 0s.

Once the orange is on the air, the only force acting on it is the gravitational force, then the acceleration of the orange is the gravitational acceleration.

A(t) = -32.17 ft/s^2

Where the negative sign is because this acceleration points downwards.

For the velocity equation, we need to integrate over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial vertical velocity of the orange, because the orange is accidentally dropped, this initial velocity is equal to zero.

V(t) =   (-32.17 ft/s^2)*t

For the position equation we need to integrate again, this time we get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the orange, we know that it is 40ft, then the position equation is:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft

Now that we know the equation, we can graph it. (you can see the graph below)

Now we also want to find at what time does the orange hit the water.

This happens when:

P(t) = 0 ft =   (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft

We just need to solve that equation for t.

0 ft =   (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft

(1/2)*(32.17 ft/s^2)*t^2 =  40 ft

t^2 = (40ft)/( (1/2)*(32.17 ft/s^2))

t = √(  (40ft)/( (1/2)*(32.17 ft/s^2)) ) = 1.58 s

The orange hits the water 1.58 seconds after it is dropped.

3 0
2 years ago
What is -5(2a-3b)+5(3b-2a) simplified?
KIM [24]
-10a+15b + 15b-10a = -20a+30b
5 0
3 years ago
Read 2 more answers
Find two numbers whose sum is -2 and whose difference is -6.
navik [9.2K]

Step-by-step explanation:

x+y=-2

x-y=-6

x=-2-y

(-2-y)-y=-6

-2-2y=-6

-2y=-4

y=2

x=-4

8 0
2 years ago
Read 2 more answers
The scale on a map shows 1 cm = 5 km. On this same map, the distance between Clarkstown and Millburn is 3.5 cm. What is the actu
Ugo [173]

Answer:

15.10 km

Step-by-step explanation:

All you would have to do is add 5 km every time you add 1 cm. Then for the .5 you would divide 5 by .5 to get the second part of the answer.

Hope this helps!

I got it wrong I'm sorry!

4 0
2 years ago
Read 2 more answers
Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has. Volume of 750m what is the percentage change in v
Jobisdone [24]

Answer:

50% increase

Step-by-step explanation:

The volume of Cylinder A is:

πr²h = 500π

I'm assuming that the volume of B is 750π so the percent change is (750π - 500π)/500π * 100 = 50% increase.

8 0
3 years ago
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