A solid shape is made by joining two cones. Each cone has the same radius. One cone has The other cone has slant height = 2x radius The total surface area of the shape is slant height = 3x radius 57.8 pi cm^ 2 Curved surface area of acone = pi*r * l where r is the radius and I is the slant height Work out the radius. Each cone has the same radius.

Answers

Answer 1

The given area of the shape of 57.8·π cm², and length of the slant sides

being a factor of the radius, gives the length of the radius as 3.4 cm.

How can the length of the radius be calculated?

Given;

Radius of the two cones are equal.

Slant height of one cone = 2 × Radius

Slant height of the other cone = 3 × Radius

Surface area of the shape = 57.8·π cm²

The curved surface area of a cone = π·r·l

Required:

The radius of the cone.

Solution;

Surface areas of the cones are therefore;

π·r × 2·r, and π·r × 3·r

The total surface area is therefore;

π·r × 2·r + π·r × 3·r = 57.8·π

5·r²·π = 57.8·π

Which gives;

r² = 57.8 ÷ 5 = 11.56

r = √(11.56) = 3.4

The radius of the cones, r = 3.4 cm

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Related Questions

What is the best method to be use in solving quadratic equation x²+16x+63=0?​

Answers

Answer:

Factorization

Step-by-step explanation:

This can be easily factorized into (x+7)(x+9)=0 which can be solved for the two roots x = -7 and x = -9

In the pattern shown below Day 1 has 4 night eyes,
followed by Day 2 with 8 night eyes, and Day 3 with 16
night eyes, how many eyes will there be on Day 25?
Explain using words or numbers a pattern that you see in
the picture below and write it in complete sentences.

Answers

Answer:

The pattern that we know is:

D₁ = 4 night eyes

D₂ = 8 night eyes

D₃ = 16 night eyes

Ok, with these 3 elements we can see that this seems like a geometric sequence.

How we test it? well, the quotient between any pair of consecutive terms must be constant.

D₂/D₁ = 8/4 = 2

D₃/D₂ = 16/8 = 2

Then we can write the n-th term as:

Dₙ = D₁*2^(n-1) = 4*2^(n-1)

Then in day 25, we have n = 25.

Then the term is:

D₂₅ = 4*2^(24) = 67,108,864 night eyes

do this and u will git 50 points from me

Answers

Answer:

I feel like its either a or c

hopefully you get it right .

Answer:

I think c

Step-by-step explanation :

1) What is 5/7 x 3/5? A)2/3 B)2/9 C)3/7 D)5/4

Answers

Answer:

C)3/7

Step-by- step explanation:

5/7 x 3/5= 0.42857142857

3/7 = 0.42857142857

plz mark brainleist

The ratio of red cars to blue cars in a parking lot was 5:3. If there were 40 red cars, how Many blue cars were there?

Answers

Answer:

Order your units (just to help),

Make sure your units are systematized in the order given.

Red cars            5                   40

__________   __________ = __________, now we solve for x;

Blue cars           3                     x

5/3 = 40/x

multiply by x on both sides

5/3x = 40

Then divide by 3/5 from both sides (multiplying by 3/5)

x = 24

please help i'll give brainliest

Answers

The answer is simple, divide 13.5 by 3, and divide 3 by itself.

13.5/3

=4.5

3/3

=1

Area Covered: 4.5 m^[2]. Paint: 1L.

Then multiply 4.5 by 10, all you have to do is move the decimal to the right to get:

Area Covered: 45 m^[2]. Paint: 10L.

Hope it helped.

A 26-sided die is rolled 5 times. How many different outcomes are possible?

Answers

Answer: 130 I’m pretty sure

HELP Please Right Away use 3.14. for tt Round answers to the nearest. hundredth if necessary. calculate the circumference. of the circle j if the radius is 7 meters​

Answers

Answer:

Answer:

3.14

Step-by-step explanation:

Rounded to the nearest 0.01 or Hundredths Place.

Will mark AS BRAINLIEST!!

Answers

Answer:

Put an open circle on the number 4 and have the arrow point in the negative direction.

Step-by-step explanation:


Pauline withdrew $7.50 from her savings account every day for 3 days. Which expression is the best choice to help her determine the total amount of money she withdrew? (5 points)
(7.50)(−3) = −22.50; she withdrew $22.50
(−7.50)(3) = −22.50; she withdrew $22.50
(−7.50)(−3) = 22.50; she withdrew $22.50
(7.50)(3) = 22.50; she withdrew $22.50

Answers

Answer:

it would be b because it (-) the money not the days

Answer:

The answer is B

(−7.50)(3) = −22.50; she withdrew $22.50

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.
Which equation is true?

Answers

Answer:

Step-by-step explanation:

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.

Which equation is true?

r(10 – r) = 10

r + (10 – r) = 4 + 3

4r[3(10 – r)] = 37     this is your answer  

4r + 3(10 – r) = 37

What is the simplified version of
6x-3y+8x-5y

Answers

I believe it is 0.7

Step-by-step explanation:

or it is -0.7

A rectangle is ____ a rhombus.

A. Always
B. Sometimes
C. Never

Answers

Answer:

for a rectangle to be rhombus its sides must be equal. when its satisfied we have square. so a rectangle can be a rhombus only if it has extra properties which would make it a square.

A rectangle is sometimes a rhombus. The correct option is B. Sometimes.

What is a rectangle?

A rectangle is a quadrilateral with four right angles, meaning its interior angles measure 90 degrees each. In contrast, a rhombus is a quadrilateral with four sides of equal length, but its angles are not necessarily right angles.

The rectangle is a special type of parallelogram where all angles are right angles. Its properties include having two pairs of parallel sides and diagonals that are equal in length and bisect each other. Rectangles are commonly encountered in everyday life, from the shape of windows and doors to the screens of electronic devices.

Since a rectangle can have equal side lengths, it can also be a rhombus, but only when all four angles measure 90 degrees. Therefore, while a rectangle can be a rhombus under specific conditions, it is not always the case, leading to the answer of "Sometimes."

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Question 7 of 10
Why would bankruptcy cause someone to lose their car?
O A. It relieves a person of their debts.
B. It increases the cost of insurance.
O C. It causes a loss of assets.
O D. It harms a person's credit report.
SUBMIT

Answers

A bankruptcy case can cause a person to lose their car because C. It causes a loss of assets.

What does Bankruptcy do?

When a person declares that they are bankrupt, it means that they don't have enough resources to pay off their debts.

As a result, the government gets involved to help them pay it off. This usually involves most of the person's assets being sold off in order to raise some funds to pay off some of the debt. Cars will be included.

In conclusion, option C is correct.

Find out more on bankruptcy at https://brainly.com/question/26392690.

Someone please help will give brainliest

Answers

Answer: 1.) m∠LAB = 40°  2.) m∠3= 123°  3.) x=25  4.) y = 29

5.) p is (-4, -3) 6.) B is (3,8)

Step-by-step explanation:

1.)  80/2 =40

2.) 180 -57 = 123

3.) 2x + 10 + 4x +2 =180  Combine like terms, solve for x = 150/6 =25

4.)  5y -25 +2y +2 =180   7y -23 =180   y= 203/7  y= 29

5.) Parallel lines divide a hypotenuse in proportion to the proportions on the legs  -6 -(-2) =8 8/4 = 2 Add 4 to -6 on horizontal. x= -2

6- (-6) =12  12/4= 3   Add 3 to -6 on the vertical  y = -3

6.)   Same assumption as 5  but add the differences to extend the line.

Horizontal: -5-(-1) =4  -1 + 4 = 3 is x   Vertical 6-4=2    2+6=8  y is 8

Correct answers only help help

Answers

Answer:

(1,-2)

Step-by-step explanation:

uhhhh

Hello Can Someone Please Answer This Math Question

Answers

Answer:

200 in^2

Step-by-step explanation:

5•4+10•4+10•5=

200 in^2

i hope this helped you

30. On February 1, the temperature at a ski resort in
Montana was 6° Fahrenheit. How many degrees Celsius
is this temperature?

Answers

Answer:

-14.4444°C

Step-by-step explanation:

(6°F − 32) × 5/9 = -14.44°C

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.
point theif = ban beee

Answers

Question↷

∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Answer↷69°Given↷Two complementary angles ⤿∠A & ∠B∠A⤿21°To find↷Measure of ∠BSolution ↷

we know that,

sum of two complementary angles ⤿90°

ATQ,

⤿∠A +∠B = 90°⤿21° + ∠B = 90°⤿∠B = 90° -21°⤿∠B = 69°

Answer:

[tex]\displaystyle 69° = m\angle{B}[/tex]

Step-by-step explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 21° + m\angle{B} \\ \\ 69° = m\angle{B}[/tex]

I am joyous to assist you at any time.

What graph it is it and how can I figure the problem out

Answers

Sir/miss your grammar is wrong and there’s nothing for me to work with therefore I can’t help sorry!

Hope this helps!

The GPA you earn in a particular semester is your​ ________ GPA, and your cumulative GPA for all completed semesters is your​ ________ GPA.

Answers

Answer:

The GPA you earn in a particular semester is your Marginal GPA, and your cumalative GPA for all completed semesters is your average GPA.

Step-by-step explanation:

plss help mee
Show your work plss not just the answer thank you

Three people share seven brownies. How many brownies should each person get?​

Answers

Answer:

They should each get about 2 brownies and 1/5 of another one each.

Step-by-step explanation:

Your welcome :) If you can, look at my question and see if you figure it out pls if not just comment that you cant ¯\_(ツ)_/¯

Answer:

 2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

5
13. Paula's scores for a computer game were
-7.5, -3, -6, 1,-1, and 2.

Put them in order from least to greatest.

Answers

-7.5,-6,-3,-1,1,2 is the answer

pls help I suck at math

Estimate the difference by rounding each fraction or mixed number to the nearest half or whole.

Answers

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

3 1/8 is equal to 3.125

7/12 = 0.5833333333333333333333333333 (goes on forever)

3.125-0.58333333 = 2.54166667

This round to 2.5

2.5 as a mixed number is [tex]2\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

We have to use method of estimation!!

[tex]3\frac{1}{8}[/tex] ≈ 3

[tex]\frac{7}{12}[/tex] ≈ [tex]\frac{1}{2}[/tex]

3 - [tex]\frac{1}{2}[/tex] = 2[tex]\frac{1}{2}[/tex]

When Arjun makes strawberry milk, he adds 90 mL of milk for every 20 mL of strawberry syrup. Arjun's
brother, Eli, adds 180 mL of milk for every 45 mL of strawberry syrup.
Which strawberry milk has a stronger strawberry taste?
(I’m struggling help please)

Answers

Answer: Eli’s strawberry milk

Step-by-step explanation:

so I’m just doing this for 5pts

If Arjun adds 20 ml of strawberry syrup in 90 ml milk and his brother adds 45 ml of strawberry syrup in 180 ml milk then Arjun's brother's strawberry milk has a stronger strawberry taste.

What is average?

Average is basically sum of numbers divided by how many numbers taken into consideration. It is also known as mean.

How to calculate average?

We have been given that Arjun adds 20 ml of strawberry syrup in 90 ml milk and his brother adds 45 ml of strawberry syrup in 180 ml milk. To calculate the strength of strawberry taste we need to find the average syrup added by both the person in milk.

Average of syrup added by Arjun in 1 ml of milk=20/90

=0.22 ml of strawberry syrup.

Average of syrup added by Arjun's brother in 1 ml of milk=45/180

=0.25 ml of milk.

Average of Arjun's brother is greater than average of Arjun.

Hence Arjun's brother's strawberry milk has a stronger strawberry taste than Arjun's milk.

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f(n)

{n/2 if n is even

{3n+1 if n is odd

Answers

Answer:    N → N/2 ( if N is even) N → 3N + 1 (if N is odd) i.e. If N is even, divide it by 2 to get N/2. If N is odd, multiply it by 3 and add 1 to obtain 3N + 1. It is conjectured but not yet proven that no matter which positive integer we start with; we always end up with 1

Answer:

Isn't this the Collatz Conjunction

Step-by-step explanation:

The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle.

A coordinate plane with the following points A at negative 3, 3; B at negative 3, negative 2; and C at 4, negative 2.

(4, 3), 35 units squared
(4, 3), 24 units squared
(3, 4), 35 units squared
(3, 4), 24 units squared

Answers

Answer:

The coordinates of the three vertices of a rectangle are :

A(-3,3) ,  b(-3,-2)  and   c(4,-2)

The easy way to find the fourth vertex by the graphing the given points

See the attached figure

the given points are in blue color

and by using the symmetry of the rectangle

So, the coordinates of the fourth point D is (4,3) which are in red color

The base of the rectangle is the distance BC

From the graph ⇒⇒ BC = 7

The height of the rectangle is the distance AB

From the graph ⇒⇒ AB = 5

The area of the rectangle = base * height = 7 * 5 = 35

So, the correct answer is option A(4, 3), 35 units squared

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I don't know how to do this can someone please help me?

Answers

Given - diameter = 98 cm

So radius = 98/2

=> radius = 49 cm

Area of circle = πr^2

=> Area of circle = 22/7 * 49 * 49

=> Area of circle = 7,546 cm^2

PLEASE MARK AS BRAINLIEST

Answer:

The area of a circle is

Step-by-step explanation:

The area of a circle is got by

Given that radius is 49,

Area will be π which equals 3.14 49 multiplied by square radius.

That's calculated as 3.14×49×49 =7,539.14

Answer rounded to the nearest hundreds equals 7500.

End of the answer.

Dear learner I can further assist with your homework should need be and I am available on plus one six one nine five five eight two one four zero.

As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?

Answers

Answer:

%33.33 repeating

Step-by-step explanation:

because 75 divided by 25 is 3 so it is 1/3

For her phone service, Kala pays a monthly fee of $27, and she pays an additional $0.06 per minute of use. The least she has been charged in a month is $90,48.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

hg

Step-by-step explanation:

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