What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.

A) 8.1 m^2

B) 4.0 m^2

C) 46.0 m^2

D) 11.7 m^2

Answers

Answer 1

Answer:

[tex]A=11.7\ m^2[/tex]

Step-by-step explanation:

Given that,

Central angle, [tex]\theta=160^{\circ}[/tex]

Diameter,d = 5.8 m

Radius, r = 2.9 m

We need to find the area of sector. The formula for the area of sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2[/tex]

So, the area of a sector is equal to [tex]11.7\ m^2[/tex].


Related Questions

Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16

Answers

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

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

15x-4y=-50

-5(3x-2y)=-5(-16)

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

15x-4y=-50

-15x+10y=80

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

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

A sphere has a surface area of 803.84 cm^2. What is the volume?

Answers

Answer:

V≈2143.03cm³

Step-by-step explanation:

The volume of the sphere is 2143.57 cm³.

What is the surface area of the sphere?

A = 4 × π × r², where 'r' is the radius of the sphere.

What is the volume of the sphere?

V = (4/3) × π × r³

For given example,

a surface area of the sphere is 803.84 cm^2.

⇒ A = 803.84 cm²

Using the formula of the surface area of the sphere,

⇒ 4πr² = 803.84

⇒ r² = 64

⇒ r = 8 cm

Using the formula of the volume of the sphere,

⇒ V = (4/3) × π × r³

⇒ V = (4/3) × 3.14 × 8³

⇒ V = 2143.57 cm³

Therefore, the volume of the sphere is 2143.57 cm³.

Learn more about sphere here:

https://brainly.com/question/9994313

#SPJ2

7 x 10-⁴ 3.5 X 10⁶ thank youuuuuuuuuuiuuuuu​

Answers

Answer:

−3430000

Step-by-step explanation:

Mark as brainllest

3430000 I thinkkkkkkkkk

r= 26, h = 16, S = ?​

Answers

Answer:

S = 6

I think

Answer:

s=6

Step-by-step explanation:

if you are figuering it out in order then r=26 then you subtract 10 and get h=16 so then you subtract 6 more and get s=6

Please help me, I'm afraid of failing this but I don't know what it's even about

Answers

Answer:

...

Step-by-step explanation:

the coefficients are 4, 7, 4, 6

12 mols of h20 will be produced

Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?

Answers

She can make up to 22 bags because you have to add 2.40 and 3.25 together to get 5.65 then divide by .25 to get 22.6 she can make a total of 22 with .6 left over

Equation of a line


Equation of a line.

⚠️IF YOU KNOW, PLEASE HELP ME THIS I HAVE TO SUBMITTED TODAY!!! ( ⚠️


Write the Equation of the line in fully simplified slope- intercept form


Answers

Answer:

y=-6/5x-2

Step-by-step explanation:

We are given points (5,-8) and (-5,4)

Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5

Y-intercept = b = (0,-2)

Final equation: y=-6/5x-2

Answer:

y=-6/5x-2

Step-by-step explanation:

y=mx+b

Its sloping downwards, so a negative slope.

two points: (-5,4) and (5,-8)

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

so first find the slope.

y2-y1 / x2-x1  <= formula

so: -8-(4) / 5-(-5)

which becomes => -12/ 10

which is 6/5 the slope is 6/5

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

plug this into y=mx+b, where m is the slope

so: y=6/5x+b

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

obviously b is the y intercept, where the line meets y

the y intercept is -2

sooooooo final answer is

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

y=6.5x+(-2)

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

Negative slope, so becomes y=6/5x-2

what is the circumference of the circle if r= 3.5 feet? Use 22/7 for pi

Answers

Answer:

circumference of circle=2πr

2×22/7×3.522

hope it helps.

Answer:2.x22/7x3.5
22

please please help i have three questions left for this lesson

Answers

9514 1404 393

Answer:

  y = -|x -1| +2

Step-by-step explanation:

The transformation ...

  -f(x -h) +k

reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.

Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...

  y = -abs(x -1) +2

  y = -|x -1| +2

Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2

Answers

You add the like terms which are 4x and 6x
4x + 6x= 10x

10x-2 Which is choice A

Answer:

a. 10x - 2

Step-by-step explanation:

4x - 2 +6x ( collect like terms )

4x +6x - 2

10x - 2

Which fraction is a name for the point that is labeled with the question mark on the number line?
A) 4/8
B) 3/4
C) 1/4
D) 2/4

Answers

Answer:

The awnser is C it is 2/8 simplified to 1/4

Step-by-step explanation:

This February only one quarter of the days had an average temperature above freezing (32 degrees). How many days in February were below freezing?

Answers

Answer:

21 days

Step-by-step explanation:

February has 28 days

28/4=7

1 quarter of 28 is 7

Since one quarter was above freezing, 3 were below freezing

3x7=21

21 days is the final answer

Answer:

21 days

Step-by-step explanation:

There are 28 days in February.

If one quarter of the days had a temperature above freezing, that means that three quarters of the days had a temperature below freezing.

Find how many days were below freezing by multiplying 28 by 3/4

28(3/4)

= 21

So, 21 days in February were below freezing.

Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer

Answers

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.

HELLLLLLPPPPPPPPPPPPP​

Answers

The answer is C. 3y = 15

If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?

Answers

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answers

Answer:

Zayn= $928.72

Angelo= $880.64

Zayn has 48.08 more than Angelo.

Step-by-step explanation:

Answer:

zayn- 934.58

angelo- 880.64

Step-by-step explanation:

Carter has 13 peppermints. Nina has p fewer peppermints than Carter. Write an expression that shows how many peppermints Nina has.

Type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.

Answers

13-p= how many nina has

HELP FAST ANSWER IF YOU ARE 100% sure. Any decimal answers are wrong so if the answer you got is a decimal don't put as answer or you will be reported. Thank y'all!

Answers

Answer: Picture with answer below:

Step-by-step explanation:

Answer: 891ft

Step-by-step explanation:

A river has a normal depth of 10 feet. After a rain storm, the river is rising a 1.5 feet per hour. What is the river's depth after 4 hours?

Answers

Answer:

The answer is 16 feet

Step-by-step explanation:

You do 1.5 feet times 4 hours and you get 6 feet and than you add 10 and 6 and you get 16 feet after 4 hour.

A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container

Answers

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

The run is the__
change between two points on a line.
A. rising
B. horizontal
C. average
D. vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

The mathematical definition of slope is very similar to our everyday one. In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Complete the table to describe the model.

The model will have a verbal description, a division expression, and a fraction.

Answers

is there supposed to be a picture??!

Trent attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a diameter of 4 centimeters. What is the magnet's area?

Answers

Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!

Answers

height =h=16inch

Answer:

volume of cuboid =l×b×h

3840in³=20×12×h

h=3840/240=16inch

what is 1/3(w+18)=12 using distributive property?​

Answers

Answer:

w = 18

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side

[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )

[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )

w = 18

If Daniel pays $62.90 to fill the 17 gallon gas tank in his vehicle and he can drive 330 miles on one tank of gas, how much does he pay per mile to drive his vehicle?

Answers

He will pay per mile to drive his vehicle about 15c

Please help, any unnecessary answers will be reported. Thanks :)

Answers

Answer:

The area of the trapezoid is 152 square centimeters.

Step-by-step explanation:

The formula for finding the area of a trapezoid is [tex]\frac{a+b}{2} *h[/tex], where a and b are bases and h signifies the height.

Find the second base's length by adding 18 + 2 = 20.

Input values next:

[tex]\frac{18+20}{2} *8=152 cm^2[/tex]

Hope this helps; have a great day!

Please help
If you currently make 3200 per month and you are given a raise to 3400 per month, what is the percent change of your salary?

Answers

Answer:

6.25%

Step-by-step explanation:

% change= (chnage/original salary) × 100%

Change = new salary - original salary

Hence = 3400-3200=200

% change= (200/3200)×100%= 6.25%

The radius of a sphere with a surface area of 64

Answers

Answer:

2.257

Step-by-step explanation:

If x = 4, y = 3, z = -5, then evaluate: z - z + x - y

Answers

i got -15 as the answer, hope it works
Answer:

1

Explanation:

z - z + x - y

-5 - -5 + 4 - 3

-5 + 5 + 4 - 3

4 - 3

1
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