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Anit [1.1K]
2 years ago
8

The point B is at the centre of the circle. The pints P and Q are in the circumference of the circle. Calculate the area of the

shaded sector. Take pi to be 3.142 in your working. Give your final answer to 1 dp.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

Answer:

Area of the sector = 57.26295cm²

Step-by-step explanation:

Radius of the circle=9cm

π= 3.142

Angle at B= 81° ( opposite angle of a quadrilateral)

Area of the sector = πr² * 81/360

Area of the sector = 3.142 * 9*9 * 0.225

Area of the sector= 3.142*81*0.225

Area of the sector = 57.26295cm²

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if 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?
Fynjy0 [20]
The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10
3 0
3 years ago
Read 2 more answers
A system has two failure modes. One failure mode, due to external conditions, has a constant failure rate of 0.07 failures per y
nadya68 [22]

Answer:

0.9177

Step-by-step explanation:

let us first represent the two failure modes with respect to time as follows

R₁(t) for external conditions

R₂(t) for wear out condition ( Wiebull )

Now,

R1(t) = e^{-nt} .....1

where t = time in years = 1,

n = failure rate constant = 0.07

Also,

R2(t)=e^{-(\frac{t}{Q} )^{B} }......2

where t = time in years = 1

where Q = characteristic life in years = 10

and B = the shape parameter = 1.8

Substituting values into equation 1

R1(t) = e^{-(0.07)(1)} \\\\R1(t) = e^{-0.07}

Substituting values into equation 2

R2(t)=e^{-(\frac{1}{10} )^{1.8} }\\\\R2(t)=e^{-(0.1)}^{1.8} }\\\\R2(t)=e^{-0.0158}

let the <em>system reliability </em>for a design life of one year be Rs(t)

hence,

Rs(t) = R1(t) * R2(t)

t = 1

Rs(1) = [e^{-0.07} ] * [e^{-0.0158} ] = 0.917713

Rs(1) = 0.9177 (approx to four decimal places)

5 0
3 years ago
Ridley bought 3 3/4 yards of blue fabric,12 5/6 yards of red fabric,and 7 2/3 yards of purple fabric.if she paid $7.50 per yard,
Amanda [17]

The fabric cost $181.875

Step-by-step explanation:

Blue fabric bought = 3 3/4 yards , change to improper fraction (4*3)+3/4 = 15/4 yards

Red fabric= 12 5/6 yards = 77/6 yards

Purple fabric= 7 2/3 yards= 23/3 yards

Find  total length of fabric bought, 15/4 +77/6 +23/3 =291/12 yards

Cost per yard= $7.50

Total cost will be, 291/12 * 7.50 =$ 181.875

Learn More

Cost : brainly.com/question/12878495

Keywords : cost, yard

#LearnwithBrainly

5 0
2 years ago
4. Joey had 26 papers on his desk. His teacher gave him some more and now he has 100. How
inna [77]

Answer:

74 papers

Step-by-step explanation:

100-26

7 0
2 years ago
Read 2 more answers
If 2x-10=4, what must x squelch to?
mr_godi [17]

Answer:

x=7

Step-by-step explanation:

2x-10=4 add 10 to both sides

2x=14 divide both sides by 2

x=7

3 0
2 years ago
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