All categories

3 years ago

What is the approximate area of the shaded sector in the circle shown below

Mathematics

1 answer:

Reil [10]3 years ago

3 0

Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

∴ Area of sector is

Correct option is B.

You might be interested in

If x^3+y^3−12xy+64=0, what is the value of x+y?

jok3333 [9.3K]

Answer:

I don't know

Step-by-step explanation:

I don't really know but if you want help with math questions try this website called wolfram alpha. It's great

5 0

3 years ago

Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f

castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean $(\mu) = 115 \times 20$

= 2300

Standard deviation = $20 \times \sqrt{115}$

Standard deviation (SD) = 214.4761

TO find:

a) $P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{1200}{214.4761})$

$P(x > 3500)= P(Z >5.595)$

From the Z-table, since 5.595 is > 3.999

$P(x > 3500)=1-0.9999$

P(x > 3500) = 0.0001

Here, the replacement time for the mean $(\mu) = \dfrac{0+0.5}{2}$

= 0.25

Replacement time for the Standard deviation $\sigma = \dfrac{0.5-0}{\sqrt{12}}$

$\sigma = 0.1443$

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = $\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}$

= $\sqrt{(115\times 400) +(114\times 0.02082249}$

= $\sqrt{(46000) +2.37376386}$

= $\sqrt{(46000) +(2.37376386)}$

= $\sqrt{46002.374}$

= 214.482

Now; the required probability:

$P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})$

$P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})$

$P(x > 4125) = P(Z >8.376)$

$P(x > 4125) =1- P(Z$

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0

2 years ago

Witch fraction is equivalent to 4/20

Vinvika [58]

Answer:

2/10

Step-by-step explanation:

smart 'v'

3 0

3 years ago

Read 2 more answers

What happened to the glass blower who inhaled

Inessa [10]

He can now breath fire

5 0

3 years ago

Read 2 more answers

21$ with 8.5% tax.How much

PilotLPTM [1.2K]

First find the amount of tax by multiplying 21 × 8.5%.

.085 × 21 = 1.785 = 1.79 (rounded)

Now add the tax back into the price...

21 + 1.79 = $22.79

5 0

3 years ago