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ad-work [718]
3 years ago
7

A 20° sector in a circle has an area of 21.5π yd². What is the area of the circle? Use 3.14 for pi.

Mathematics
2 answers:
baherus [9]3 years ago
8 0
This would be 21.5π * 360 / 20 yd^2  =  1215.18 yd^2 ( using pi = 3.14)
ziro4ka [17]3 years ago
7 0

Answer:

The area of the circle is 1,215.18\ yd^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

360\° subtends the complete circle of area \pi r^{2}

so

by proportion

Find the area of the complete circle if a  20\° sector has an area of  21.5\pi\ yd^{2}

\frac{x}{360}=\frac{21.5\pi}{20}\\ \\x=360*21.5\pi /20\\ \\x=387\pi \ yd^{2}

387\pi \ yd^{2}=387*3.14=1,215.18\ yd^{2}

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Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb
melamori03 [73]

Answer:

Total number of dimes=6

Total number of nickels=12

Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

Total number of nickels=12

7 0
3 years ago
A machine shop produces metal frames on two different machines. The average daily production on machine 1 is 300 frames, and the
statuscvo [17]

Answer:

The daily shop productivity is 480 frames

Step-by-step explanation:

The daily machine productivity refers to the TOTAL production made in a day.

The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.

The first machine produces 300 frames in a day.

The second machine produces 180 frames in a day too.

So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.

production=300+180=480

Thus, the daily shop productivity is 480 frames

4 0
3 years ago
A line with a slope of 
GenaCL600 [577]
You would have to make a point at 6/3 and go down one and to the left 7... then your answer would be -1/2 sooo D=-1 hope this helps
6 0
3 years ago
Can someone help me again please
cestrela7 [59]

Answer:

i)  = 23 °C

ii) = 4.4° C

Step-by-step explanation:

i) The temperature on the surface of the planet.

At the surface of the planet the height is Zero

Therefore, X = 0

Thus; using the equation, the temperature, y will be;

y = 23 - 5x

y = 23 - 5(0)

 <u> = 23 °C</u>

ii) the temperature change for every kilometer from the surface,

From the equation;

y = 23 - 5x

we take, y to be 1

Therefore;

1 = 23 -5x , subtracting 23 on both sides we get

-22 = -5x

x = -22/-5

<u>  = 4.4° C</u>

4 0
3 years ago
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Find the value of the cot 10° using your calculator.
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The cotangent function can be obtained by taking the reciprocal of the tangent of the same angle. Using a calculator, taking the tangent of 10 degrees and taking the reciprocal of the answer would yield the correct one. With that, the correct answer would be D.) 5.671.
7 0
3 years ago
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