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3 years ago

Find Four constructive odd integers whose sum is 224 what is the largest number

Mathematics

1 answer:

rusak2 [61]3 years ago

5 0

Answer:

53, 55, 57, and 59

Step-by-step explanation:

Let the numbers be

x, x +2, x +4, and x+6. Then

x + x+2 + x +4 + x + 6 = 224 Combine like terms

4x + 12 = 224 Subtract 12 from each side

4x = 212 Divide each side by 4

x = 53

The four consecutive integers are 53, 55, 57, and 59.

<em>Check: </em>

53 + 55 + 57 + 59 =224

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3 years ago

Is 33,44,55 a right triangle?

Paul [167]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Misha measured a distance of 60 feet from her kitchen to the bedroom. What is the equivalent number of meters.

Nikitich [7]

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3 years ago

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

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The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

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3 years ago

A circle with centre O has a radius of 6.2 cm.

Paul [167]

Answer:

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Step-by-step explanation:

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2 years ago