Mathematics College

Question 5
Calculate the perimeter of the sector
4cm
285

Question 5Calculate The Perimeter Of The Sector4cm285

Answers

Answer 1
Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm
Answer 2

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Related Questions

Help ASAP! I’m confused! Thanks!!

Answers

Answer:

Angles 2 and 4 are congruent

Equivalent expression of d+0.38d

Answers

Answer:

0.38 x d + d

Step-by-step explanation:

the answer for ur question is

d+0.38d

1.38d

Becky made 63 carnival masks, which is 30% less than the number her brother made. How many carnival masks did becky and her brother make in total?

HELP

Answers

Answer:

153

Step-by-step explanation:

132 ounces is what percent of 15 pounds?

Answers

Answer:

25%

Step-by-step explanation:

Answer:

19.8

Step-by-step explanation:

Pls help I’ll brainlest for the right answer

Answers

Answer: 101 2/3

Step-by-step explanation:

9. x3 – 4x+1=0
Rational roots?

Answers

Answer:

[tex]x = -2.11490754, 0.25410168, 1.86080585[/tex]

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the (zeros), replace y  with 0 and solve for x.

Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years

Answers

I believe it’s 1,590.

1500+6% (2 percent each year) gets 1,590

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

the sale price for swimming lessons is $20 per hour. The sale price for new student and 75% of the regular price

Answers

Answer:

Step-by-step explanation:

Your answer

New student price = 15$

Mark it as Brainlist answer. Follow me.

Please help if you can thank you

Answers

Answer:

c. -18.5x ≤ 407

Step-by-step explanation:

-18.5 x -22 = 407

-18.5 x 0 = 0

-18.5 x 6 = -111

-18.5 x 17 = -314.5

-18.5 x 60 = -1110

(All products are either less than or equal to 407)

What is BD? BC=x DC=x+5

Answers

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

HELP ME PLEASE ITS DUE TODAY AT 8

Answers

Answer:

It is okay to solve a question not a question paper better split the questions before asking

Answer:

Corresponding sides have same ratio

Q1

a) LM/LN = EF/EG = 12/13 = 0.92b) MN/LM = FG/ EF = 5/12 = 0.42c) MN/LN = FG/ EG = 5/13 = 0.38

Q2

XY/WX = ST/RS = 25/18 = 1.39

Vernon is having a fish fry. Catfish is on sale for 6.10 per pound. Vernon buys 2 3 5 pounds of catfish. How do you write 2 3 5 as an improper fraction?

Answers

Answer:

76.8

Step-by-step explanation:

Slope of (-3.6) and (-3,0)

Answers

Answer:

the slope for the points is 6

Step-by-step explanation:

6

Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?

Answers

Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.

The product of two consecutive room numbers is 210. Find the room numbers.

Answers

Answer:

104.5 and 105.5

Step-by-step explanation:

Unless there are such things are 1/2 room numbers, there is no answer. But algebraically, x + x + 1 = 2x + 1 = 210

2x + 1 = 210

2x = 209

x = 104.5

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.

Answers

Answer:

[tex]q = -6p + 104[/tex]

Step-by-step explanation:

Linear function:

A linear function has the following format:

[tex]q = mp + b[/tex]

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: [tex]m = \frac{-36}{6} = -6[/tex]

So

[tex]q = -6p + b[/tex]

Finding b:

We replace one of the points. Replacing (4,80).

[tex]q = -6p + b[/tex]

[tex]80 = -6*4 + b[/tex]

[tex]b = 104[/tex]

So

[tex]q = -6p + 104[/tex]

Find the volume of the given cone.
A.320 in
B.1,244 in
C.415 in
D.622 in

Answers

Answer:

the correct answer is c. 415in

Step-by-step explanation:

You have to multiply the base radius by the height.

Looking for the same answer

Can one of you guys pls help

Answers

Answer:

Puts the dots where the A,B,C,D dots are and move them 5 units to the right.

Example:

Original place

A=(2,5)

Moved 4 units to the right:

A'=(6,5)

Here are some tips:

Up= Y value goes up

Down= Y value goes down

Right= X value goes up

Left X value goes down

at the beach, the cost for a surf board is 39 dollars for 3 hrs. at this rate what will be the charge in 8 hrs.

Answers

Answer:

$104

Step-by-step explanation:

So, in one hour it would cost $13. Times 8, because we want to see what would be the cost for 8 hours, and 8 times 13 is 104.

Answer:

$104

Explanation:

39 divided by 3 gives you 13. This means that the surf board costs $13 per hour. To find how much it will be for 8 hours, multiply 13 by 8. This gives you 104 which is the correct answer for your question :)

There are 22 students in your class. Your teacher is going to choose 2 students at random for a prize. What is the probability that it will be you and your best friend that is in the class?
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)

Answers

Answer:

C)  1 / 462

Step-by-step explanation:

22 x 21 = 462

f - 3/4 = 1 1/2 please help !

Answers

Answer:

f = 2.25

Step-by-step explanation:

Given that,

[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]

Adding 3/4 to both sides of the equation.

[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]

So, the value of f is equal to 2.25.

Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years

Answers

Answer:

4530.55

Step-by-step explanation:

2800 x 6.2% = 173.6

2800 + 173.6 = 3157.96

repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation

Please help! Giving Brainliest for the best answer!

Polygons QRST and Q′R′S′T′ are shown on the following coordinate grid:

A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6.

What set of transformations is performed on QRST to form Q′R′S′T′?

A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Answers

Answer:

D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

See the picture for better visual

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

This rotation rule is:

(x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

We now can conclude the correct choice is D:

A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Write the following sentence using mathematical symbols. The quotient of n and 10 is 8 times n. The answer is .​

Answers

Answer:

n ÷ 10 = 8 x n

what is the slope of this graph thank you

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3

Explain your answer !!

Have a great day

Will give brainlst

Answers

Answer: below

Step-by-step explanation:The main environmental effects of deforestation and forest degradation include reduced biodiversity, the release of greenhouse gas emissions, forest fires, disrupted water cycles and increased soil erosion.

At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))

Answers

Answer:

1300

Step-by-step explanation:

A 5-pound bag of red onions costs $3.90. What is the unit price?
per pound

Answers

If I did the math correctly the answer should be $0.78 per pound.

I hoped that this helped

Answer:

OK, I love these questions. The way to get the answer is always remember this formula- (PRICE DIVIDED BY QUANTITY). In this case, the price for a 5 pound bag of onions costs 3.99. So, to find the unit price per pound, all you need to do is divide 3.99 by 5. If you do the math (3.99/5), you'll get the answer of 79 cents per pound. If your asked to round, the answer would be 80 cents per pound.

Pls help I’ll brainlest for the right answer

Answers

Answer:

29110.87

Step-by-step explanation:

mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together

Which equation has a slope of -5/2 and a y-intercept of -2

Answers

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

5x + 2y = -4

Answer:

B. -5x-2y=4

Step-by-step explanation:

if im wrong sorry have a good day

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