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nlexa [21]
3 years ago
7

The Masons built a deck in their backyard. What is the area of the deck? (NO units)

Mathematics
1 answer:
ozzi3 years ago
4 0
Take the area of the rectangle as a whole and subtract the triangle piece.
We know the dimensions of the triangle are 3x4 so you can multiply it out using the formula to find the triangle's area to get 6.
Then you calculate the area of the whole rectangle. 10x12=120.
Finally subtract the triangle from the rectangle. 120-6=114.
The Area of the deck is 114.
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Answer:

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Step-by-step explanation:

To determine the maximum height of the twig,

First, we will determine the height distance covered by the twig after Mary flicks the twig up.

From the question,

Mary flicks a twig up and off of the ledge with the initial vertical velocity of 10 feet per second, that is

the initial velocity of the twig is 10 feet/second

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From on the equations of motions for bodies moving upwards,

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Where v is the final velocity

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From the question

u = 10 feet/second

and v = 0 feet/second

Putting the values into the equation

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h = 100/64.34

h = 1.6 feet

This is the height distance covered by the twig after Mary flicks it up.

Now, the maximum height of the twig will be the sum of the height of the rooftop from the ground and the height distance covered by the twig.

That is,

Maximum height = 95 feet + 1.6 feet

Maximum height = 96.6 feet

Hence, the maximum height of the twig is 96.6 feet off the ground.

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