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Anarel [89]
3 years ago
7

A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?

Mathematics
2 answers:
irga5000 [103]3 years ago
3 0

Answer:

Step-by-step explanation:

C=2πr

18=2×3.14×r

18=6.28r

r=2.88

Arc of a circle

A=®/360°πr

6=®/360°×3.14×r

®=239°

6

Yuki888 [10]3 years ago
3 0

Answer:

120

Step-by-step explanation:

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The weights (to the nearest pound) of some boxes to be shipped are found to be:. Weight 65 68 69 70 71 72 90 95 frequency 1 2 5
Lena [83]
So the mean is 72.97

We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209

Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333

The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8



7 0
3 years ago
To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she
olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than  32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

A=s^2

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

P=4s

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula  A=s^2 and find its value:

A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in

Substituting the value of "s" into the formula P=4s, we get that the perimeter of the photo is:

P=4(2\sqrt{15}in)=30.98in

Therefore, since Alicia has 32 inches of trim and 30.98in, we can conclude that she will have enough trim for all four sides of the square.

8 0
3 years ago
Find the total surface area of the<br> following square pyramid:<br> 9 cm<br> 10 cm<br> SA = [?]cm2
MakcuM [25]

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

=10×9/2

=45

Coz,there are 4 triangle we multiple by 4

=45×4

=180

3)find the total surface area by adding the two

=100+180

=280cm2

4 0
3 years ago
The function g is related to one of the parent function g(x)=-(x-2)^3
Svetllana [295]

Answer:

(2,0)

Step-by-step explanation:

4 0
2 years ago
he triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Trian
MissTica
  • YX=6
  • XZ=7
  • ZY=3

And

  • AB=12
  • BC=6
  • AC=14

Check

  • AB/YX=BC/ZY=AC/XZ
  • 12/6=6/3=14/7
  • 2=2=2

Hence

  • ABC=XYZ

Or

  • ZYX≈CBA

Option C

6 0
2 years ago
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