All categories

3 years ago

44. Find the arc length on a circle with radius =5 inches and a central angle of pi/3 help plsss

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

$s=5(\frac{\pi}{3})$ so

$s=\frac{5\pi}{3}$ inches

You might be interested in

Which relation is a functiona) {(2.4), (2,-7) (2,11), (2,-15)}

tia_tia [17]

D is a function because there are no repeated x values

for example b is not a function because we have (0,-7) and (0,-9)

6 0

4 years ago

What the equation of the line

Ganezh [65]

Answer:

y = 0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The

Oksanka [162]

Answer:

a) $[-0.134,0.034]$

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

$s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}$ ,

where $n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19$ .

The mean difference $\mu_1 - \mu_2 = 10.85 - 10.90 = -0.05$ .

The confidence interval is

$(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}$

$= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]$

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0

4 years ago

Line segment BC will be reflected over line m to form line segment BC. Which of the following statements must be true?

Len [333]

Answer:

Option A

Step-by-step explanation:

To reflect line segment BC over line m, BB' will be perpendicular to the line m

and line m bisector of BB'.

So, the correct answer is option A

A) Line m is the perpendicular bisector of line segment BB' and the line segment CC'

Option b is wrong , it is impossible for the line B'C' to be perpendicular to line BC. B'C' is the image of BC.

Both option c and d is wrong because the perpendicular distance from b to the line m not equal to the perpendicular distance from c to the line m.

7 0

3 years ago

Can someone help me?

geniusboy [140]

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

7 0

3 years ago