The surface area of a cone is square units. the height of the cone is times greater than the radius. what is the length of the radius of the cone to the nearest foot? the radius is about feet.

Answers

Answer 1

The radius of the cone is 7 feet

How to determine the radius?

The given parameters are:

Surface Area, A = 216π

h = 8/3r

The surface area of a cone is:

[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]

Factor out r

[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]

Evaluate the exponent

[tex]216\pi = \pi r(r + r * 2.85)[/tex]

Evaluate the sum

[tex]216\pi = \pi r(3.85r)[/tex]

Divide both sides by pi

[tex]216 = 3.85r^2[/tex]

Divide both sides by 3.85

[tex]56.10 = r^2[/tex]

Take the square roots of both sides

r = 7 (approximately)

Hence, the radius of the cone is 7 feet

Read more about cone at:

https://brainly.com/question/6613758

#SPJ4

Answer 2

Answer:

The radius is about 9 feet.

Hope this helps!

Step-by-step explanation:

The Surface Area Of A Cone Is Square Units. The Height Of The Cone Is Times Greater Than The Radius.

Related Questions

I need help with this math question please!

Answers

Answer:

x < 0

( x is less than 0 )

Explaination:

That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).

If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)

The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.

A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.

Hope this helps out! :D

help!!!! please hurry!

Answers

Answer:

w=8

Hope this helps!!

need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.

Answers

Answer:

10 1/8 years?

I hope this is right!

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

OC is perpendicular to AB. What is the length of AB?

A. 8.8 units
B. 4.4 units
C. 13.2 units
D. 2.2 units

Answers

Answer:

A.8.8 units

Step-by-step explanation:

Answer:

The correct answer is 8.8 units

Step-by-step explanation:

I just got it correct.

Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip from a neighbor. Write an equation to represent this situation. (4 points)

Part B: Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Please help (Ithink imma fail a math exam if not)

Answers

Answer:

Part A answer: 0.5x + 3 = 18.50
How I got the answer: 0.5 means how much money she made from each cup. the variable x = how many she sold. 3 equals the tip from the neighbor. and 18.50 is the total price

Part B answer: (0.75x - 0.10x) + 3 = 21.00
How i got the answer: 0.75 is how much money she make from each cup. 0.10 means how many she paid for each cup she used. x = how many cups were sold/bought (should be the same number!). 3 is the tip. and 21.00 is the total price made.

Part C answer: The equations differ because Sydney didn't have to pay for the cups she used, while Daria did. Although they did have the same amount for a tip, Daria made more money than Sydney.
------------------------------------------------------------------------------------------

this should be correct! hopes this help and i wish you good luck on your math exam!

25(-7)= ?
what type of equation is this?? division, multiplication, addition, or subtraction??

Answers

Answer:

multiplication

Step-by-step explanation:

the () means to multipy

A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the
students, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.
Using the sample space of possible outcomes listed below, where each student is represented by the first letter
of his or her name, answer each of the following questions.
What is P(A), the probability that the first student is a girl?
What is P(B), the probability that the second student is a girl?
What is P(A and B), the probability that the first student is a girl and the second student is a girl?

Answers

Answer:

what is P(A), the probability that the first student is a boy? 3/5


what is P(B), the probability that the second student is a girl? 3/4


what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2


No, évents A and B are not independent events

Step-by-step explanation:

The probability that the first student is a girl P(A)= 3/4.

The probability that the second student is a girl P(B)= 3/4.

The probability that the first student is a girl and the second student is a girl P(A and B)=9/16.

Given that there are three girls (Sandra, Marta, Jane) and one boy (Franklin), and the sample space of possible outcomes is:

{SA, SM, SJ, SF, MA, MS, MJ, MF, JA, JS, JM, JF, FA, FS, FM, FJ}

P(A): Probability that the first student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the first student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A) = Number of favorable outcomes / Total outcomes = 3 / 4

P(B):

Probability that the second student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the second student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(B) = Number of favorable outcomes / Total outcomes = 3 / 4

P(A and B):

Probability that the first student is a girl and the second student is a girl.

Number of favorable outcomes where both students are girls: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A and B) = P(A).P(B)

= 3/4 × 3/4

=9/16

Hence, P(A)=3/4

P(B)=3/4

P(A and B)=9/16

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

the distance lesley walks from home to school is 120 meters and 80 meters when he goes to church from home. gusion estimates that the distance lesley walks when he goes directly to church. coming frim school is 180 meters. guinevere's estimation is 210 meters which etimation is feasible? make a map of lesley ways from home to school and church justify.

Answers

If the three locations form a straight line (school - 120m - home - 80m - church) the distance would be 200m
Guinevere’s estimation of 210m is not feasible.
Gusion’s estimate is feasible if the locations form a triangle.

Find the area of the rhombus

Answers

[tex]60cm^{2}[/tex]

Step-by-step explanation:

A=pq/2

shorter diagonal= 8cm

longer diagonal = 15cm

15*8 = 120

120/2 = 60

A = [tex]60cm^{2}[/tex]

This figure shows the dimensions of an A frame house.

What is the volume of the house?

Enter your answer in the box.

V =
ft³

Answers

Remember the formula for volume is area multiply by height so do that

Can someone help me with this please thank you.​

Answers

Answer:

1) 104

2) 132

3) 110

4) 112

5) 105

Step-by-step explanation:

These questions involve the sum of interior and exterior angles.
for the first 4 questions,

Use the formula: (n-2)*180-(sum of remaining angles)

For example q1, it has 4 angles

So substitute 4 into n

(4-2)*180=360

64+99+93+x=360

x=104°

(Do the same for q2-4)

For q5,

Sum of exterior angles of ANY polygon=360°

Therefore,

88+75+92+x=360

x=105°

Pls double check the answers yourself with a calculator, hope you find it helpful! :)

So basically to find an angle of a polygon you have to use the rule of sum of the interior angles of a polygon which is ‘(n - 2)x180’
- whereas the n stands for the number of sides the shape has
Then find the x angle by subtracting the sun of the other angles so;

1. (4-2)x180=360
360 - 99 - 93 - 64 = 104
2.(5-2)x180=540
540 - 82 - 114 - 90 - 122 = 132
3. 180 - 50 - 20 = 110
4. (6-2)x180=720
720 - 92 - 145 - 136 - 102 - 133 = 112

However the last question is a bit tricky since we have to find the exterior angle but it’s the same because (attached photo)
5. (4-2)x180=369
360 - 88 - 75 - 92 = 105

Find the area of the trapezoid

Answers

Answer:

A = 7.5 units^2

Step-by-step explanation:

A = (a+b)/2 * h

A and B are both bases of the trapezoid (top and bottom)

H is the height

A is 1

B is 4

H is 3

Plug that into the trapezoid equation and we get

(1+4)/2 * 3 = 7.5 units ^2

Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

Answers

The correct answer is: y = -2x^2 + 8x + 5
[Answer from Plato/EdMentum]

8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate i.
A = [? ] ft2

Answers

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

help! Solve each triangle (find all missing sides and angles) Round each answers to the nearest tenth

Answers

Answer:

D.

Step-by-step explanation:

sin 67 = b / 2.4

b = 2.4 sin 67

= 2.2

cos 67 = a / 2.4

a = 2.4 cos 67

= 0.9

M < A = 90-67 = 23 degrees.

What is the perimeter of the parallelogram?

Answers

Step-by-step explanation:

b×h1÷2 use this formulae

36
Using Pythagorean theory
a^2 + b^2 = c^2
64 + 36 = c^2
100 = c^2
Take square root of both sides
C=10
Now add all four sides for perimeter
10 + 10 + 8 + 8 =36
See picture for the math

What is the value of x in the equation : sin 40 = cos (x)

Answers

Answer
Since sin x= cos (90- x)
Sin40=cos(90-40)
Sin 40=cos 50
X=50

if A (4,5), B (6,8), then vec AB is ... ​

Answers

Answer:

slope= rise/ run= 1.5/1= 1.5

express x^2-8x+5 in the term (x-a)^2-b where a and b are integers

Answers

Answer:

(x-4)² -11 where a = 4, b = 11

Step-by-step explanation:

The final form (x-a)² - b evaluates to x² - 2ax + a² -b

Matching

x² - 8x    +  5    

x² - 2ax  +  a² -b

This gives us -2ax = -8x or -2a = -8 or a = 4

and a² - b = 11 ==> 16 - b = 11 or b =5

Rewritten form is

(x-4)² -11

40 POINTS!!!
Find the volume of this irregular figure.
Hint: Find the volume of the whole rectangular prism, then subtract the volume of the missing piece, which is also a rectangular prism.

Answers

Answer:

470 cm³

Step-by-step explanation:

Volume of rectangular prism = width × length × height

⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

                                                                = 720 cm³

Side lengths of the missing piece:

width  = 5 cmlength = 10 cmheight = 8 cm - 3 cm = 5 cm

⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

                                                    = 250 cm³

⇒ Volume of irregular figure = 720 cm³ - 250 cm³

                                                = 470 cm³

he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3

Answers

Answer:

Answer:

C

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

i got a hundred on the test

Which of these shapes is an obtuse isosceles triangle? Help me A, B, C, Or D?

Answers

Answer:

A

Step-by-step explanation:

Which function can be used to model the graphed geometric sequence? f(x 1) = five-sixthsf(x) f(x 1) = six-fifthsf(x) f(x 1) = five-sixths superscript f (x) f(x 1) = six-fifths superscript f (x)

Answers

The function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

Exponential functions

The standard exponential function is expressed as y = ab^x

Using the coordinates (3, 900) and (4, 750)

Create the equations

900 = ab^3 ............. 1

750 = ab^4 ................. 2

Divide

900/750 = 1/b
b = 75/90
b = 5/6

Determine the value of "a"

900 = a(5/6)^3

900 = (125/216)a

a = 1555.2

Determine the required equation

y = 1555.2(5/6)^x

Hence the function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x

Learn more on exponential function here: https://brainly.com/question/12940982

#SPJ4

Answer:

a

Step-by-step explanation:

Find the number that belongs
in the green box.
4
? 1°
29°
10
Round your answer to the nearest tenth.

Answers

Answer:

  16.6°

Step-by-step explanation:

The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.

__

We choose to use a=10, b=4, C=29°.

  c² = a² +b² -2ab·cos(C) . . . . . law of cosines

  c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304

  c ≈ √46.0304 ≈ 6.78457

Then angle B (opposite side b) is ...

  sin(B)/b = sin(C)/c . . . . . . . . . law of sines

  sin(B)/4 = sin(29°)/6.78457

  B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°

The missing acute angle is about 16.6°.

Aldo is a software salesperson. His base salary is $2500 and he makes $80 more for every copy of English is Fun he sells. His total pay, p (in dollars), after selling c copies is given by the following.

p=80c+2500

Answer the following questions.

(a)
If Aldo's total pay is $5140, how many copies did he sell?
? copies
(b)
What is Aldo's total pay if he sells 23 copies?
$

Answers

Answer:

A: He sold 33 copies

B: $4340

Step-by-step explanation:

A: p=80(33) + 2500

   p=2640+ 2500

   p=5140

B: p = 80(23) + 2500

   p=1840+ 2500

   p=4340

Sum interior angle on a regular pentagon

Answers

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

Answer:

540

Step-by-step explanation:

108 is one interior angle from a regular pentagon

And a pentagon has 5 interior angles

So 180x5=540

I NEED HELP!!!!
[tex]3(7+7i)+i(7+7i)[/tex]

Thanks!:)​

Answers

Solve the equation:-

[tex]3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer [/tex]

Open the equation:-

[tex]3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer[/tex]

7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.

Answers

Answer:

Centre is (4,2) and radius is 10

Step-by-step explanation:

The circle equation is of form,

=> (x - a)² + (y - b)² = r²

where the centre is (a,b) and radius is 'r'.

I have no clue, I have asked others and they don't know either.

Answers

Y axis, the y axis is also referred to as Y=0

To find the point of symmetry:

  ⇒ must find where the distance between the original point and the

   line of symmetry and reflected point and the line of symmetry are

   equally distant from each other

Based on that knowledge:

 ⇒ the image appears to be entirely reflected horizontally

    ⇒ when the line of symmetry is the y-axis

        ⇒ A, A' equal distant from line of symmetry

        ⇒ B, B' equal distant from line of symmetry

        ⇒ C, C' equal distant from line of symmetry

Answer: y- axis

Hope that helps!

Simplify 12 raised to 2/5 into 5 raised to 2/5

Answers

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]

[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]

[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]

[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]


[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Other Questions
Find the inverse of the function f(x) = 2x - 4.O8(x) = -1/x--1/4O8(x) = -x-1-1/O g(x) = 4x + 2O1g(x) = = x + 2 What is the condition of William's family?O happyOmaddead Simplify The Expression 5x-4y+2(y+x) Write 0.030 in scientific notation Please help :) In his play Romeo and Juliet, Shakespeare presents an intriguing view of human nature (his theme). In your response discuss the following:What is the theme of Romeo and Juliet? What is Shakespeare saying about human nature? Include an objective summary as well as details from the text that support your interpretation of the theme. 5x - 8y = - 17y + 5 = 3x To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4) Why did the US involve themselves in the Congo and Angola during the Cold War era?A) To oppose Soviet-backed, AfricanleadersB) For their natural resourcesC) To help their European alliesmaintain their coloniesD) To help end their civil wars Is there something that we would be numb to now that may be considered a tragedy later? Why?Remember If a polynomial function f(x) has roots 9 and 7 i, what must be a factor of f(x)? (x (7 i)) (x (7 i)) (x (7 i)) (x (7 i)) What is the minimum educational requirement for child care center directors?Bachelor's Degree with CDAMaster's Degree in Education/ECEBachelor's Degree in Education/ECEAssociate's Degree with Directors credentials The annual profits for a company are given in the following table, where x represents the number of years since 2002, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for 2010, rounded to the nearest thousand dollars. i need help please on PART B Thanks se the following template to create a valid Denying the Consequent argument example: If_________________ then _______________ It is not the case that ______________________ Therefore, it is not the case that ________________ n the currently accepted model of the atom, a fuzzy cloud around a hydrogen nucleus is used to represent the what led to the development of international law? a bag contains 4 red. 4 blue, 4 green and 4 yellow marbles. a marble is randomly pulled from the bag and replaced seven times. The table shows the outcome of the experiment. Which marble colors observed frequency is closest to its expected frequency. the red car is twice __ the black one a. expensive b. as expensive c. as expensive as Drag the tiles to the correct boxes to complete the pairs.Match each division expression to its quotient.16 divided by (-8). -2 2/5 divided by 4/5. 33/7 divided by 1 1/7. -12.2 divided by (-6.1) Temperature, cloud cover, and thunder are all examples ofO a. stormsO b. weatherO c. climateO d. barometric pressure 23. Power equalsA.Speed plus enduranceB. Strength times speedC. Speed times velocity