if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees

Answer:

∠ F = 80°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

Answer:

the perimeter of the field in kilometers is 112 km

Step-by-step explanation:

The computation of the perimeter of the field in km is shown below:

As we know that

Perimeter is

= 2(length + width)

= 2(30 + 26)

= 2 (56)

= 112 km

Hence, the perimeter of the field in kilometers is 112 km

Answer:

6.3×100^12

Step-by-step explanation:

hope it helps

Answer:

7/40

Step-by-step explanation:

La fraccion de Alemanes son 35/200=7/40

Answer:

1. Combine the like terms from all 3 sections then subsite for X.

2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.

Step-by-step explanation:

The two ways to find the total area of the park are:

Add the Areas of Each Section

Use Geometric Shapes

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Method 1:

Add the Areas of Each Section

We can find the total area of the park by adding the areas of each section. Therefore, the total area is:

Total Area = Game field + Picnic field + Recreation area

Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)

Total Area = 3x² + 175x + 1200 ft²

Method 2:

Use Geometric Shapes

Another way to find the total area of the park is to use geometric shapes that represent each section.

We can see that the Game field and Picnic field have the same area of

x² + 95x + 450 ft², which we can represent as a rectangle.

The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.

Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.

Total Area = Area of Rectangle + Area of Triangle

Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)

Total Area = 3x^2 + 175x + 1200 ft^2

Thus,

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

39

Step-by-step explanation:

13 x 3?

Answer:

x=90

y=45

z=45

ok but i am not sure at all please confirm

Answer:

x+68=90 degrees

Step-by-step explanation:

Answer:

90-68 or 68+22

Step-by-step explanation:

this works becuz it is a 98 degree angle

Answer:

18

Step-by-step explanation:

;)

Answer:

If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry I dont know

Answer:

I think 5 could be wrong tho

Step-by-step explanation:

4x4+3x3=25

✓25

5

Answer:

11/40 of a gallon

Step-by-step explanation:

The amount of gasoline in the tank of lawn mower = 3/8 of a gallon

Then he put the amount of gasoline in the tank = 4/10 of a gallon

The total amount of gasoline filled in the tank = 3/8 + 4/10

= 3/8 + 2/5

= 15+16/40

= 31/40

The total amount of gasoline filled in the tank = 31/40

The amount of gasoline left in the tank after mowing = 2/4

Total amount of gasoline Michael used = 31/40 - 2/4

= 31-20/40

= 11/40 of a gallon

Alternatively, you can follow this method:

Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)

= 3/8 + (2/5 - 2/4)

= 3/8 + ( 8-10/20)

= 3/8 + (-2/20)

= 3/8 + (-1/10)

= 3/8 - 1/10

= 30-8/80

= 22/80

= 11/40 of a gallon

Total amount of gasoline Michael used = 11/40 of a gallon

Answer:

[tex]x = 35.6[/tex]

Step-by-step explanation:

It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.

[tex]\frac{KL}{FE}[/tex]

[tex]=\frac{55}{17}[/tex]

Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.

[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]

[tex]x = \frac{605}{17}\\\\x=35.6[/tex]

Answer:

IJ ≈ 35.6

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values

[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )

17 IJ = 605 ( divide both sides by 17 )

IJ ≈ 35.6 ( to the nearest tenth )

Answer:

0

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

5x² = 20

x² = 4

x = 2

Answer:

9(x^6)(y^3)

Step-by-step explanation:

Answer:

fggfdf

Step-by-step explanation:

gfdgdgd

Answer:

2

Step-by-step explanation:

That side has to be smaller than 3 since it’s the length of the bigger triangle side making 2 the only possible answer because it’s the smallest answer.

440 bevause 154 is 35 percent of 440

The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.

Given that:

[tex]Mocha = 154[/tex]

From the question, we understand that the bakery sells other cupcakes too.

And Mocha only represents 35% of the total.

This means that:

[tex]Mocha = 35\% \times Total[/tex]

So, we have:

[tex]154 = 35\% \times Total[/tex]

Make Total the subject

[tex]Total = 154 \div 35\%[/tex]

[tex]Total = 440[/tex]

Hence, 440 cupcakes were sold on that day.

Read more about proportions at:

https://brainly.com/question/11654319

Answer: $178.50

Step-by-step explanation:

If Alex is paid a piecework rate of $8.50 per motor, then;

Price per motor assembly = $8.50

By assembling 21 motors Alex gets,

1 motor = $8.50

21 motors = (21 * $8.50) / 1

= $178.50 / 1

= $178.50

By assembling 21 motors,

Alex gets $178.50

Answer:

c

Step-by-step explanation:

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Answer:

s : m : l

2u : 3u : 7u

small bag=15kg

medium bag=22.5kg

large bag=52.5kg

Answer: 225 N + 165 N = 3.90×10.

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

792,000,000,0

Step-by-step explanation:

550,000 x 60 = 330,000,00 (To get hourly rate)

330,000,00 x 24 = 792,000,000,0 (To get daily rate)

Hope this helps! :)