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3 years ago

11

Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find t

he length, in terms of a radian measure, of AB.

1 answer:

jeyben [28]3 years ago

7 0

Answer:

We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us

10 pi/6 or 5 pi/3

Step-by-step explanation:

We can use the formula

$2\pi \times r( \frac{x}{360} )$

to find the arc length where r is the radius.

and x is the arc measure.

Plug it in for the numbers

$2\pi \times 5( \frac{60}{360} )$

Multiply 2 pi times 5=10 pi

$10\pi( \frac{60}{360} )$

Simplify 60/360 to 1/6

$10\pi \times \frac{1}{6} = \frac{10\pi}{6}$

Reduce it to

$\frac{5\pi}{3}$

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What is 4(2(329)) LIKE i have no idea how to do that

boyakko [2]

I think it wants you to multiply the numbers.
329×2=658
658×4=2632

Final Answer=2632

5 0

3 years ago

Read 2 more answers

I would like you to help me with that since I do not understand very well please

JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of $x$ . To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

$\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree$

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

$m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree$

I hope you understand the explanation.

8 0

2 years ago

What percent of 180 is 45? A. 4.5% B. 18% C. 22% D. 25%

Ber [7]

Answer:

D. 25%

Step-by-step explanation:

45/180=0.25

0.25 into a percent is 25%

6 0

2 years ago

Read 2 more answers

I need help with this question

Novay_Z [31]

Answer:

$\frac{\sqrt{3} - 1}{2\sqrt{2}}$

$\frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

$- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$

Step-by-step explanation:

Given $\frac{11 \pi}{12} = \frac{3 \pi}{4} + \frac{\pi}{6}$

(A) $sin(\frac{11\pi}{12}) = sin (\frac{3 \pi}{4} + \frac{\pi}{6})$

We know that Sin(A + B) = SinA cosB + cosAsinB

Substituting in the above formula we get:

$sin (\frac{3\pi}{4} + \frac{\pi}{6}) = \frac{1}{\sqrt{2}} . \frac{\sqrt{3}}{2} + \frac{-1}{\sqrt{2}}. \frac{1}{2}$

$$ \implies \frac{1}{\sqrt{2}} (\frac{\sqrt{3} - 1}{2}) = \frac{\sqrt{3} - 1}{2\sqrt{2}}$

(B) Cos(A + B) = CosAcosB - SinASinB

$cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6}})$

$\implies \frac{-1}{\sqrt{2}}. \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}} . \frac{1}{2}$

$\implies cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6})$

$$ = \frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

(C) Tan(A + B) = $\frac{Sin(A +B)}{Cos(A + B)}$

From the above obtained values this can be calculated and the value is $- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$ .

3 0

3 years ago

A binomial probability experiment is conducted with given parameters. Compute the probability of x successes in the n independen

Andrews [41]

Answer:

0.044

Step-by-step explanation:

n=9,p=0.9, x =6.

Apply Binomial probability we get

Sum P(x)=C(n,x) $p^{x} (1-p)^{n-x}$ for x=6

Putting in the formula ,

we get

P(x) = C(9,6) $0.9^{6} 0.1^{3}$

84 X 0.531441 X 0.001

= 0.044

7 0

3 years ago