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iren [92.7K]
3 years ago
8

Patrick wants to buy a rug for a section of his living room. When he approaches a rug vendor, which measurement would be most ap

propriate to describe the area of the section of his living room?
Mathematics
1 answer:
Kazeer [188]3 years ago
8 0
Usually, rugs have a rectangular shape, therefore the section of the living room that Patrick wants to cover is a rectangle.

The area of a rectangle can be found by multiplying the length and the width of the rectangle:
A = l × w

Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.

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A​ hot-air balloon is 160 ftabove the ground when a motorcycle​ (traveling in a straight line on a horizontal​ road) passes dire
Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft

#Take the derivative of the first equation and solve for dz:

d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}

#We then substitute the values given in the question to solve for dz:

dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds ​later is 73.77 ft/s

3 0
3 years ago
Plz help will mark brainliest if correct this is due in 10 minutes ​
Degger [83]

Answer:

its 112 because 16x16 is 256 and 12x12 is 144 and minus 256 by 144 is 112 its D hope this helped

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Please help me...I will give brainliest. Please dont answer if you dont know. I really need this. Thankyou have a good day:)
enyata [817]

Answer:

7: 45.2 (rounded from 45.21)

8: 114.5 (rounded from 114.45)

9: 115.9 (rounded from 115.86)

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and of course the unit is cm3

Step-by-step explanation:

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If you have the circumference of a circle. How do you find the radius?
algol13

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