the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle​

Answers

Answer 1

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°


Related Questions

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

please help!!!!! simplify

Answers

Answer:

Pretty sure it's B

Step-by-step explanation:

what is the solution to the inequality of x+2<5

Answers

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Describe what you normally do on Sunday​

Answers

Nothing just lay in bed all day on my phone-

my normal routine except i go to church

Convert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet

Answers

Answer:

24 yards = 72 feet

Step-by-step explanation:

3 feet per yard

24 x 3 = 72

the answer is 72 feet

Calculate the mean, median, and range of the data in the dot plot.

Answers

Answer:

median = 5

range = 2

mean = 11

Step-by-step explanation:

Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!

Answers

Given adjacent = 14.7
Given degree = 41
Find hypothenuse
Sohcahtoa (use cah to find hypothenuse)

Cosine = adjacent/hypothenuse
Cos(41) = 14.7/h
0.7547095802 = 14.7/h
14.7/0.7547095802 = 19.477691

Round to nearest tenth:

Solution: 19.5

Answer:

x = 19.48 or 19 12/25

Step-by-step explanation:

cos 41° = 14.7/x

x = 19.48 or 19 12/25

(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

8 ft
Find the area of the figure.

Answers

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

A property worth 10,480.00 is shared between Eugenia and her 10 brothers in ratio: 1:4 respectively.The 10 brothers shared their portion equally.Find each the brothers share.

Answers

Answer:

838.4

Step-by-step explanation:

From the question,

Total worth of the property = 10480.

Eugenia share: Her 10 brothers share = 1:4

Total ratio = 1+4 = 5.

Her 10 brother's share = (4/5)(10480)

Her 10 brother's share = 41920/5

Her 10 brother's share = 8384.

If the 10 brothers shared their portion equally,

Each brother's share = 8384/10

Each brother's share = 838.4

a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?​

Answers

The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

What are a cone and a cylinder?

The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.

A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.

It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-

The lateral area of the cone = πr√(h²+r²)

The lateral area of the cylinder = 2πrh

The ratio will be calculated as:-

R = πr√(h²+r²)  /   2πrh

R = √(h²+r²) / 2h

Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

To know more about the cone and a cylinder follow

https://brainly.com/question/1310192

#SPJ1


Who can describe and correct the error in finding volume of the cone

Answers

6 is the diameter not the radius

Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

It may be 45 I think

Answer:

4.2 miles

Step-by-step explanation:

Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.

On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?

Answers

Answer:

40%

Step-by-step explanation:

Initial number of hours = 5Increased number of hours = 7

Change:

7 - 5 = 2

Percent change:

2/5*100% = 40%

Help me please thanks

Answers

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

ATHEMATICS CURRICULUM
Lesson 3 Homework
time Zachary starts playing with his action figures.
the start playing with his action figures?
Start
1
12
11
1
31
10
on figures for 23 minutes.
Ish playing?
Finish

Answers

Answer:

guru gossip and you can you invite me to the heading

at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost

Answers

Answer:

21 packs of gatorade would cost $36.88.

Step-by-step explanation:

Mathematically:

8.78 / 5 = 1.756

1.756 * 21 = 36.876 ~= $36.88

Evaluate x-2 for x=-3

Answers

-3-2= -5

Put in -3 in x

Answer:

-5

Step-by-step explanation:

Rewrite x - 2 as -3 - 2, which comes out to -5.

Has anyone done the Alg1B Portfolio - Unit 6 for connections academy

Answers

Answer:

I have

Step-by-step explanation:

ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6

Answers

Answer:d

Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6

Answer:

answer should be 1/36

option (b)

good day mate

explanation : the sample space is 36 and butterfinger comes only once to both of them.

I need help with this math promblem will anybody help me

Answers

Answer:

d = 83

Step-by-step explanation:

Answer:

d=83°

Step-by-step explanation:

the sum of the inner angles is equal to 360°

so

127+67+d+d=360

194+2d=360

2d=166

d=83°

Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.​

Answers

Answer:

.

Step-by-step explanation:

Can you help me please thank you

Answers

Answer:

4. 6x^2 - 3x + 1
5. x^2 - 12x + 36

Explanation:

(12x^3 - 6x^2 + 2x) / 2x
6x^2 - 3x + 1

(x-6)^2
(x - 6) (x - 6)
x^2 - 6x - 6x + 36
x^2 - 12x + 36

Which is greats 1,200 mm or 12 m

Answers

Answer:

12m

Step-by-step explanation:

1m = 1000mm

12m to mm

12 × 1000

= 12000mm

1200mm to m

1200 ÷ 1000

= 1.2m

Which expression represents the area of the shaded region?

Answers

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

[tex]A_1=\pi r^2[/tex]

Where, r is the radius of the circle.

Area of a square is:

[tex]Area=a^2[/tex]

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

[tex]a=2a[/tex]

So, the area of the square is:

[tex]A_2=(2r)^2[/tex]

[tex]A_2=4r^2[/tex]

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

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

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=r^2(4-\pi )[/tex]

Therefore, the correct option is (a).

Solve −2|m|= −10.

What is m?

Answers

Answer:

|m| : -5

Step-by-step explanation:

{ -2|m|= -10= |m| : -5 }

plssss help

answer it plssssssssss​

Answers

k= 28/5
yeah yeah yeah

PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP

Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18

Answers

Answer:

Each smoothie was $4

Step-by-step explanation:

20 : 5= 4
$20 was the bill for 5 smoothies...so divide 20 by the number of smoothies leave off the tip because that is not part of the original bill

y = -9x Proportional or Non Proportional

Answers

y=-9x is proportional
No proportional I think
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