A swing base is 72 cm above the ground as shown in figure. When it travels through an angle of 60∘ from its mean position, swing base comes at 252 cm above the ground. What is the length of the arc travelled by the swing in meters?​

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Answer:

w=-5

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer:

b

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

divide shape into 2 rectangles;

Rectangle A: 5.5*3= 16.5

Rectangle B: 1*3.5=3.5

                         9-5.5=length length=3.5

Add RA+RB= your answer

Answer:

[tex]20m{2}[/tex]

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the angles and equate to 360

9x + 15 + 85 + 90 + 80 = 360, that is

9x + 270 = 360 ( subtract 270 from both sides )

9x = 90 ( divide both sides by 9 )

x = 10

Answer: 80,000 for 5 days so 80,000 x 15 is 120,000 :)

Step-by-step explanation:

Answer:

240,000

Step-by-step explanation:

you do

80,000/5

= 16,000 (how much they make in one day)

16,000 x 15 (the days they work)

= 240,000 (amount they make in 15 days)

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

brainly.com/question/12373434

#SPJ2

Answer:

-3+4x<=-11

No more than is <=

The inequality ​for the sum of-3 and four times a number is no more than -11 is -3 + 4x ≤ -1.

The relationship between two expressions or values which are not equal is called inequality. It shows how many times one expression is less than or equal, or greater than another expression.

Let the unknown variable is  [tex]x[/tex].

According to the question,

The sum of -3  and four times of number be [tex]4x - 3\\[/tex] is less than -11.

So, the equation will be,

[tex]- 3 + 4 x < -11[/tex].

Thus, the inequality will be [tex]- 3 + 4 x < -11[/tex] .

Learn more about inequality here:

https://brainly.com/question/30231017

#SPJ6

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Answer:

In seven years the hourly rate will be $15.79.

Step-by-step explanation:

Giving the following information:

Hourly rate= $10.5

Number of periods= 7 years

Increase rate (i)= 6%

To calculate the hourly rate in 7 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10.5*(1.06^7)

FV= $15.79

In seven years the hourly rate will be $15.79.

Answer:

25%

Step-by-step explanation:

[tex]400 \times 25 \div 100 = 100[/tex]

Answer:

A

Step-by-step explanation:

Answer:

[tex]x = 8 \sqrt{3} [/tex]

[tex]y = 60[/tex]

[tex]z = 30[/tex]

Step-by-step explanation:

To find x, use pythagorean theorem,

[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]

[tex] {x}^{2} + 64 = 256[/tex]

[tex] {x}^{2} = 192[/tex]

x=13.9 or 8 times sqr root 3( see later)

To find y, use cosine ratio.

[tex] \cos(y) = \frac{8}{16} [/tex]

[tex] \cos(y) = \frac{1}{2} [/tex]

[tex]y = 60[/tex]

To find z, use triangle interior theorem

[tex]90 + 60 + z= 180[/tex]

[tex]150 + z = 180[/tex]

[tex]z = 30[/tex]

Since this a 30-60-90 triangle, side x could be also written as

[tex]8 \sqrt{3} [/tex]

Answer:

n = √75

Step-by-step explanation:

n is the altitude of the right triangle.

Thus:

n = √(15*5) (right triangle altitude theorem/geometric mean theorem)

n = √75

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Answer:

A) -4/5

Step-by-step explanation:

( -8, 10) and ( -3, 6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6-10)/(-3+8)

m= (-4)/5

m = -4/5

Given:

The equation is

[tex]y=2+4(x-3)[/tex]

To find:

The slope intercept form of the given equation.

Solution:

We have,

[tex]y=2+4(x-3)[/tex]

Step a: Distribute 4 through the parentheses.

[tex]y=2+4(x)+4(-3)[/tex]

[tex]y=2+4x-12[/tex]

Step b: Simplify by combining like terms.

[tex]y=4x+(2-12)[/tex]

[tex]y=4x-10[/tex]

Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.

The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].

Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

Answer:

6

Step-by-step explanation:

z = 2

4z^2- 3z - 4

4(2)^2 - 3(2) - 4

4(4) - 3(2) - 4

16 - 6 - 4

6

brainliest is appreciated

Answer:

d = A or 49

Step-by-step explanation:

25^2 =625

24^2 = 576

625-576= 49 or 7^2

Answer:

60%

Step-by-step explanation:

To make a percent, it needs to be out of 100. So, the fraction would be 15/25. To make it 100, multiply each by 4 to get 100 since 25 times 4 equals 100. 15 times 4 is 60, so its 60 percent.

Answer:

In the debate  club, 60% of the students are girls.

Step-by-step explanation:

(15) girls divide by total students(25)

15/25 = .6

.6*100 = 60%

Answer:

See attached

All points are plotted and we see the figure we got

8. Rectangle

We can visually confirm that

---------------------------------------------------------------------------

9. Square

We can visually confirm that

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Answer:

The value of a₁₀ is -1158

Step-by-step explanation:

a₃ = 18

a₆ = - 486

Now,

a₃ = 18 can be written as

a + 2d = 18 ...(1) and

a₆ = - 486 can be written as

a + 5d = - 486 ...(2)

Now, from equation (2) we get,

a + 5d = - 486

a + 2d + 3d = - 486

18 + 3d = - 486 (.°. a + 2d = 18)

3d = - 486 - 18

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + 2d = 18

a + 2(-168) = 18

a - 336 = 18

a = 18 + 336

a = 354

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 354 + 9(-168)

a₁₀ = 354 - 1512

a₁₀ = -1158

Thus, The value of a₁₀ is -1158

-TheUnknownScientist

The coldest temperature ever recorded on earth is -89.2 degrees Celsius (-128.5 degrees Fahrenheit) at Vostok, Antarctica on July 21, 1983. That all-time low broke the previous world-record minimum of -88.3 °C (-126.9 °F), set on August 24, 1960, also at Vostok.

Vostok is a Russian research station located high in the middle of the East Antarctic ice sheet, about 1,300 kilometres from the geographic South Pole.

This is a place where the sun doesn't rise during winter. Besides being extremely far south, the station's high elevation, at 3,420 metres (11,220 feet), helps it get really cold.

The conditions that caused the temperature to drop exceptionally low at Vostok in July 1983 were clear skies accompanied by calm air. Vertical mixing of the air was minimal and no wind had stirred for some time.

Vostok is not an outlier in the Antarctic temperature regime. On July 20th, 1968, the temperature at another high elevation research base, called Plateau Station, sank to -86.2 °C (-123.1 °F).