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ss7ja [257]
3 years ago
15

What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.

Mathematics
2 answers:
babymother [125]3 years ago
8 0

For this case we have that by definition, the arc length is given by:

Al = 2 \pi * r *\frac {a} {360}

Where:

r: It's the radio

a: It is the angle of the sector

Then, according to the data we have:

Al = 2 \pi * 8 * \frac {45} {360}\\Al = 2 * 3.14 * 8 * \frac {45} {360}\\Al = 50.24 * \frac {45} {360}\\Al = 6.28

Rounding we have 6.3in

Answer:

Option B

Sergeu [11.5K]3 years ago
3 0

Answer:

B 6.3

Step-by-step explanation:

r = 8

l = 2*3.14*r

l = 50.24

s=l/360*45

s≈6.3

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A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits. (2 points)
soldi70 [24.7K]

Answer:

A=39.06 Sq Ft

Step-by-step explanation:

We are given with a square which has a side of 6.25 feet. We are asked to determine the area in square feet and Round to the correct significant digits.

Area of square is given as

A= side x side

Side = 6.25 ft

A=6.25 x 6.25

A= 39.0625

Rounding it to the nearest hundredth place

A=39.06 sq ft

7 0
3 years ago
NEED HELP ASAP!!<br>what is the speed of the car
Damm [24]
The answer is about 43. In other words, it was going 43 mph.
7 0
3 years ago
Suppose that 13 inches of wire costs 78 cents.
Fed [463]

Answer:

I believe that the answer is 6 inches

3 0
2 years ago
The car you want cost 25,750. If the sales tax rate is 6.5% the how much sales tax will be added? What is the total cost for the
lilavasa [31]

Answer:The total cost for the car including tax is $27423.75

Step-by-step explanation:

The initial price of the car that you want is 25,750. If the sales tax rate is 6.5%, it means that the amount of sales tax would be

6.5/100 × 25750 = 0.065 × 25750 = 1673.75

The total cost for the car including tax would be the sum of the initial cost of the car and the amount of tax. It becomes

25750 + 1673.75 = $27423.75

7 0
3 years ago
Suppose $1000 is invested at a rate of 13% per year compounded monthly. (Round your answers to the nearest cent.)
masya89 [10]

Answer:

a.  $1010.83

b.$1066.77

c. $1138.00

d.$13,269.22

Step-by-step explanation:

Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.

a. #first we calculate the effective annual rate;

i_m=(1+i/m)^m-1\\\\i_{12}=(1+0.13/12)^{12}-1=0.1380

The compounded amount after 1 month is therefore:

P_1=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_1=1000(1+0.1380)^{1/12}\\\\P_1=1010.83

Hence, the principle after one month is $1010.83

b. The principal after 6 months:

-From a above we have the effective annual rate as 0.1380 and our time is 6 months:

P_{6m}=P(1+i_m)^n, \ n=6m, P=1000, i_m=0.1380\\\\P_{6m}=1000(1+0.1380)^{6/12}\\\\=1066.77

Hence,  the principal after 6 months is $1066.77

c.The principal after 1 year:

-From a above we have the effective annual rate as 0.1380 and our time is 12 months:

P_{1y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{1y}=1000(1+0.1380)^{12}\\\\P_{1y}=1138

Hence,  the principal after 1 year is $1138.00

d. The principal after 20years:

-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:

P_{20y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{20y}=1000(1+0.1380)^{12}\\\\P_{20y}=13269.22

Hence,  the principal after 20 years is $13,269.22

3 0
3 years ago
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