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12345 [234]
3 years ago
11

A circular sector has a central angle of π6 radians and a radius of 9 ft.

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer:

\approx \: 21.2 \:  {ft}^{2}

Step-by-step explanation:

central \:  \angle   =  \frac{\pi ^{c} }{6}  = 30 \degree \\  \\ area \: of \: the \: sector =  \frac{30 \degree}{360 \degree}  \times \pi {(9)}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times  81 \\  \\  =   \frac{1}{12}  \times 254.34 \\  \\  = 21.195 \:  {ft}^{2}  \\  \\  \approx \: 21.2 \:  {ft}^{2}

docker41 [41]3 years ago
3 0

Answer:

given

π6radian=30°

radius r =9ft

the area of the sector=30°/360×π×r²

=30/360×22/7×9²=21.214ft²

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4. Lin runs 4 laps around a track in 9 minutes at a constant speed.
Alexxx [7]

Answer:

Number of minutes per lap = 2.25 minute

Number of lap per minute = 0.444 lap (Approx)

Time taken for 15 lap = 33.75 minutes

Step-by-step explanation:

Given:

Number of laps = 4

Time taken = 9 min

Computation:

Number of minutes per lap = 9 / 4

Number of minutes per lap = 2.25 minute

Number of lap per minute = 4 / 9

Number of lap per minute = 0.444 lap (Approx)

Time taken for 15 lap = 15 x 2.25

Time taken for 15 lap = 33.75 minutes

3 0
3 years ago
This graph shows the number of text messages sent in an hour by different people. A number line labeled 4 through 12 by ones. Ab
777dan777 [17]
8 because i’m smart and i know
5 0
3 years ago
Find the area of the shaded region Gh= 13yd
Feliz [49]

Answer:

area ≈ 344. 93 yard²

Step-by-step explanation:

The question you are asking is a circle with shaded portion and a portion not shaded  . The radius of the circle is given as 13 yards . H is the center of the circle and unshaded part of the the sector has an angle of 126°.

The area of a sector = ∅/360 × πr²

The other angle of the shaded  portion is unknown . To find the angle we subtract 126° from 360°(complete angle).

360 - 126 = 234°

area of a sector = ∅/360 × πr²

where

∅ = 234°

r = 13 yards

area =  234/360 × π × 13²

area = 234/360 × π × 169

area = 39546π/360

area = 109.85π

area = 109.85 × 3.14

area  of the shaded part = 344.929  yard²

nearest hundred will be

area ≈ 344. 93 yard²

4 0
3 years ago
Find the lateral area of the cylinder.<br><br>Give your answer in the terms of pi.
Wewaii [24]
Hi there! 

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. (two times pi times radius times height) Using this formula, we can plug in the values and solve for the lateral area.

Plugging in the values: LA = 2 x pi x 7 x 9
Simplifying: LA = 2pi x 63
LA = 126pi yd^2

ANSWER:
The 4th option - 126pi yd^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
6 0
3 years ago
Hey can you please help me posted picture of question
Oksanka [162]
The statement is true.

P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.

This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:

P(A|B)= \frac{P(A*B)}{P(B)} 

P(A*B) indicates the probability of intersection of event A and B.

So the correct answer is TRUE.
5 0
3 years ago
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