A farmer has just tilled her 51-yard by 68-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width before crossing diagonally across the field to the original corner. How far does the farmer walk?

9.2

.......................

The length of arc is 9.1506 cm.

The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.

The Formula for Length of Arc is θ/360 x 2πr.

We have,

Radius = 7.9 cm

Angle = 66.4 degree

Now, length of Arc

= θ/360 x 2πr

= 66.4 / 360 x 2 x 3.14 x 7.9

= 0.18444 x 2 x3.14 x 7.9

= 9.1506 cm

Thus, the length of arc is 9.1506 cm.

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Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

Answer:

4 wholes 3 out of 8

Step-by-step explanation:

...........

Step-by-step explanation:

convert mixed to improper fraction.

5/3×21/8

35/8

Answer:

the area of the parallelogram is 120 units

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Answer:

Yes

Step-by-step explanation:

I see a right angle, so its perpendicular

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer: 184.73 meters

Step-by-step explanation:

1 yard = 0.91 meters

Given

There are 203 yards

Calculate

203 yards × 0.91 meters/yard = 184.73 meters

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1/2 or 0.5 is the correct answer of this question

Answer:

last one (d)

Step-by-step explanation:

adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer:

Goods Serivces Tax

Step-by-step explanation:

Answer:

8x - 12

Step-by-step explanation:

Let the number be x

multiply by 2

= x * 2 = 2x

Subtract 3 ;

2x-3

Multiply result by 4

=

4(2x -3) = 8x-12

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

i hope my answer help you

Step-by-step explanation:

1st=8+4=12

2nd the answer is to the nearest 7.06

3rd =2+2³.7=2+13=15

4th=(36÷(4+5))+25=36÷9+25=4+25=29

5th=16÷16+8-3=1+8-3=9-3=6

6th=8-2.4=5.6

Answer:

2,120 m

Step-by-step explanation:

Cedric lives at one end of Main Street, and Landon lives at the other end of the street

Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.

Step 1

We calculate the kilometers Cedric has to walk to arrive at Landon's house

This is given as:.

6.02km - 3.9 km

= 2.12 km

Step 2

How many more meters must Cedric walk to arrive at Landon's house?

We convert from km to m

1 km = 1000m

2.12km = x

Cross Multiply

x = 2.12 × 1000m

x = 2120 m(meters)

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

17

Step-by-step explanation:

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months

Answer:

base =5   because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33