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3 years ago

All four sides of the baseball diamond are 90 ft long.

Mathematics

1 answer:

anastassius [24]3 years ago

3 0

Answer:

d. 180 ft

Step-by-step explanation:

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Three forces act on a hook. Determine the magnitude of the resultant of the force.

Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

$\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y$

$\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y$

$\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y$

The resultant force is the sum of these vectors,

$\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y$

and has magnitude

$|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N$

The closest answer is D.

5 0

3 years ago

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

Mazyrski [523]

Answer:

$x^2$

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify

$ln(e^{x^2})$

all logs has base 'e'

Inverse property of log says that

$ln(e^x)=x$ , the value of ln e=1

we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled

$ln(e^{x^2})$

$x^2$

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3 years ago

You pay $3.00 to play. The dealer deals you one card. If it is a spade, you get $10. If it is anything else, you lose your money

Alenkinab [10]

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Aliun [14]

Answer: 2343

Step-by-step explanation:

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4 years ago

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