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xenn [34]
3 years ago
12

Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

circumference 14 pi but with pi 43.96

are = 153.94 with pi but without it is 49 pi

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Equation is
y-6= -3(x+1)
or, 3x-y-3=0
5 0
4 years ago
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
Which set of shapes could you use to form a net for a
Hoochie [10]

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A

Step-by-step explanation:

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5 0
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Read 2 more answers
Pythagorean theorem
marta [7]

Answer:

x = 8

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a^{2} +b^{2} =c^{2} \\ so 8^{2} +b^{2} =\sqrt{80} ^{2}

rearrange the formula:

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7 0
3 years ago
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stira [4]

Equation is y = -1/6x

Step-by-step explanation:

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⇒ y = mx + b

⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

∴ b = 0

  • Step 2: Write the equation in slope intercept form.

⇒ y = -1/6x + 0

⇒ y = -1/6x

4 0
3 years ago
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