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3 years ago

Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)

Mathematics

1 answer:

ser-zykov [4K]3 years ago

3 0

Answer:

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

Compare √7 and 1.9? > < = Help pls 

Paraphin [41]

Answer:

that answer is 7 is bigger then 1.9

Step-by-step explanation:

so 7 is a whole and 1.9 is a decimal

8 0

3 years ago

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In two or more complete sentences describe why the following series is an example of an infinite series.

Svetlanka [38]

Answer:

Step-by-step explanation:

There are an infinite number of these whole numbers. Thus the series goes on without bounds. Whatever very big number you can think of there is another one which is 1 greater.

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3 years ago

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Jessica and Emily went shopping at a local boutique. Jessica purchased 4 bracelets and a new.pair of earrings for $9.50. Emily p

Radda [10]

What’s the complete question

5 0

3 years ago

Help pleaseeee I need the answer asap

zubka84 [21]

Answer:

$1 - \frac{7}{9} \times \frac{5}{9} = \frac{46}{81}$

Step-by-step explanation:

Basically, if you want to find the probability of getting either outcomes, you will need to subtract the probability of getting neither outcomes in the question. The probability for both outcomes are 7/9 and 5/9 respectively. You will have to multiply to get the probability of getting both of the non-desired outcomes. Hence, it gives the equation above

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2 years ago

Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)​

Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)