Can anyone help me please at least to answer one of this please

Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest

Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length $=\dfrac{\theta}{360^\circ}X2\pi r$

$=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)$

(b)Area of the sector

Area of the sector $=\dfrac{\theta}{360^\circ}X\pi r^2$

$=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$

3 0

3 years ago

Read 2 more answers

From the moment the first car started how many hours will it take the second car to catch up to the first

Rina8888 [55]

Answer:

HELP

Step-by-step explanation:

3 0

3 years ago

The average expenditure on Valentine's Day was expected to be$100.89 (USA Today, February 13, 2006). Do male and femaleconsumers

stealth61 [152]

Answer:

(a) $62.16

(b) Male: $15.00

Female: $10.06

(c) Confidence Interval for male expenditure is ($106.40, $136.40)

Confidence interval for female expenditure is ($49.18, $69.30)

Step-by-step explanation:

(a) Male expenditure

Sample mean = $135.67, sd=$35, n=40, Z=2.576

Population mean = sample mean - (Z×sd)/√n = 135.67 - (2.576×35)/√40 = 135.67 - 14.27 = $121.40

Female expenditure

Sample mean= $68.64, sd=$20, n=30, Z=2.576

Population mean = 68.64 - (2.576×20)/√30 = 68.64 - 9.40 = $59.24

$121.40 - $59.24 = $62.16

(b) Male: Error margin = (t-value × sd)/√n

Degree of freedom = n-1 = 40-1= 39. t-value corresponding to 39 degrees of freedom and 99% confidence level is 2.708

Error margin = (2.708×35)/√40 = 94.78/6.32 = $15.00

Female

Degrees of freedom = n-1 = 30-1 = 29. t-value is 2.756

Error margin = (2.756×20)/√30 = 55.12/5.48 = $10.06

(c) Male

Confidence Interval (CI) = (mean + or - error margin)

CI = 121.4 + 15.00 = $136.40

CI = 121.4 - 15.00 = $106.40

Confidence Interval is ($106.40, $136.40)

Female

CI = 59.24 + 10.06 = $69.30

CI = 59.24 - 10.06 = $49.18

Confidence Interval is ($49.18, $69.30)

7 0

3 years ago

Logan measured a line to be 7.4 inches long. If the actual length of the line is 7.7 inches, then what was the percent error of

Tanzania [10]

Answer:

4.0541

Step-by-step explanation:

I don't know if this is correct but this is what I got.

You would take the error and divide it by the theoretical value and then multiply that by 100.

7.7 - 7.4 = 0.3

0.3 ÷ 7.4 = 0.04054054

0.04054054 x 100 = 4.05405405 (simplify) = 4.0541%

Hope I helped in any way

8 0

2 years ago

Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C

Reika [66]

Answer:

look at step by step

Step-by-step explanation:

A) That is the number of bacteria that originally started in the culture

B) That is the rate at which the bacteria will reproduce

C) 1000 represents the number of bacteria at the beginning of the second culture.

The first study started with more bacteria, and will grow faster because of this

5 0

3 years ago