14. A right cone has a height of 14 in and a base diameter of 17 in.
a Sketch and label a diagram of the cone
b. Determine the area of the lateral surface of the cone, to the nearest square inch​

Answers

Answer 1

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

[tex]A=\pi rl[/tex]

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

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]

[tex]r=\dfrac{17}{2}[/tex]

[tex]r=8.5[/tex]

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]

[tex]A=26.69\sqrt{72.25+196}[/tex]

[tex]A=26.69\sqrt{268.25}[/tex]

[tex]A=437.1379[/tex]

[tex]A\approx 437[/tex]

Therefore, the lateral surface area of the cone is 437 sq. inches.

14. A Right Cone Has A Height Of 14 In And A Base Diameter Of 17 In.a Sketch And Label A Diagram Of The

Related Questions

When is the graph of f (x) = 2x2 – 5x – 3 negative?​

Answers

9514 1404 393

Answer:

  -1/2 < x < 3

Step-by-step explanation:

First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.

  f(x) = 2x^2 -5x -3

  f(x) = 2x^2 -6x +x -3

  f(x) = 2x(x -3) +1(x -3)

  f(x) = (2x +1)(x -3)

The x-intercepts are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

The graph of f(x) is negative on the interval ...

  -1/2 < x < 3

A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy does. How much does the big puppy weigh?

Answers

Answer:

2 5/7

Step-by-step explanation:

In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.

The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.

what is this type of question called and how can i solve it?

Answers

Answer:

Total number of year pass [n] = 22 year (Approx)

Step-by-step explanation:

Given:

Beginning price of cottage [P] = $25,000

Price reduce every year [r] = 10% = 0.1

Final price [A] = $2,500

Find:

Total number of year pass [n]

Computation:

A = P[1-r]ⁿ

2,500 = 25,000[1-0.1]ⁿ

0.1 = [0.9]ⁿ

Total number of year pass [n] = 22 year (Approx)

Please help!


Given A= [2 -7 6 1] and B= [-9 5 1 -1]
IT X-A=B, what is X?

Answers

Answer:

Option A, Or Option 1

Step-by-step explanation:

-7 -2

7  0

Simplify
(2m-m) - (3m+4n)

Answers

-2m-4n that’s the answer.

In Vicky's rose garden, 2 of the rose bushes are blooming and the other 17 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the total number of bushes?​

Answers

Answer:

2 : 19

Step-by-step explanation:

We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.

This means 2 out of 19 rose bushes are blooming.

Hope this helps! Have a great day!

What the radical form of 13 2/3

Answers

Answer:

1/13 2/3

Step-by-step explanation:

help guys soal integral​

Answers

Answer:

E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]

Step-by-step explanation:

[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]

1.125+1 2/3-2 5/6×(-8/27)=​

Answers

3.63117283951
I think

Please help. Due today.

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because 2^ 3= 16 so you can pull it out.

Need help ASAP giving 55 points and a branlist

Answers

Answer:

There are 54 squares on a rubix cube

Step-by-step explanation:

each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be

54 squares

Hope this helps! :)

Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.

Answers

5 inch is the width, 8 inch is the length.

Find to scale between the two widths:

10 /5 = 2 the larger photo is 2 times larger,

Multiply the known length by 2:

8 x 2 = 16

The length would be 16

Answer:

length = 4

Step-by-step explanation:

if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.

10/5 = x/8

Which side of DEF is the longest?

A. DE
B. EF
C. DF
D. Cannot be determined

Answers

[tex] \huge {\tt{Answer:}} [/tex]

A. DE

Option (A) DE side of the triangle DEF is the longest side.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.

The sum of the interior angles of a triangle is equal to 180°.

⇒ [tex]\angle D+\angle E+\angle F=180[/tex]

⇒ [tex]65+42+ \angle F=180[/tex]

⇒ [tex]\angle F=180-107[/tex]

⇒ [tex]\angle F=73[/tex]

The side corresponding to the ∠D is EF,  ∠E is DF,  ∠F is DE

The angle which is greater has the longest side.

⇒ [tex]\angle F > \angle D > \angle E[/tex]

⇒ [tex]DE > EF > DF[/tex]

Thus the side DE has the longest length.

Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.

Learn more about triangles here  

https://brainly.com/question/14759217

#SPJ2

What is the answer to this: Morgan bought 5 marble statues. They weighed 126.5 pounds altogether. How much did each statue weigh?

Answers

Answer:

25.3 pounds if all the statues way the same

Step-by-step explanation:

Answer:

25.3 lbs

Step-by-step explanation:

Assuming that all the marble statues weight the same amount, simply divide the total weight with the amount of statues:

126.5/5 = 25.3

25.3 lbs is the weight of each statue.

Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
Help

Answers

35 - 0.80*35 = x

35 - 28 = x

7 = x

x = 7

He paid $7

Two lines intersect. Find the value of b.
bo
42°



Answers

Step-by-step explanation:

b = 42

c = 138

plz mark my answer as brainlist plzzzz if you find it useful .

Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?

Answers

Answer:

$299.62

Step-by-step explanation:

Amanda has $56.10 in his bank account in march

In May he has 4 times this money

= 56.10×4

= 224.4

In June she add $75.22 to the money

= 224.4 + 75.22

= 299.62

Hence in June Amanda has $299.62 in her account

There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of reaching into the drawer without looking and drawing out 2 blue socks.

Answers

Answer:

11/306

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to  the  number of total outcome.

Given that  there are 4 red, 8 yellow, and 6 blue socks in a drawer where the  probability of  picking a red, yellow and blue socks be  p(r), p(y), and p(b) respectively.

The probability of reaching into the drawer without looking and drawing out 2 blue socks

= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)

= 6/18 + 5/17

= 11/306

in a survey about favorite breakfast foods 3/8 of those surveyed chose cereal,0.125 chose yogurt 0.1875 chose fruit and 5/16 chose toast wihch food got least numbers of votes

Answers

cereal is the least amount of numbers

How do I round 31732.441804 to the nearest dollar?

Answers

Answer and Step-by-step explanation:

To round to the nearest dollar, you are essentially rounding to the nearest whole number.

This involves looking at the tenths place.

31732.441804

The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.

Since 4 is not greater than or equal to 5, it makes the number stay 2.

So, we get the answer to be $31732.

#teamtrees #WAP (Water And Plant)

ummm i think it might be the last number after the decimal if it’s over 5 it’s the next number

cual es el opuesto de -5

Answers

Answer:

I think number 5

1.45x + 1.25y =70.85

x + y = 53

Answers

Answer:

Your answer is

y= 30

x= 23

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Paki answer po fi d the value of k mentally​

Answers

Answer:

We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.

1) 30 = k*(15/4)

To solve this, we can just multiply by (4/15) in both sides, so we get:

30*(4/15) = k*(15/4)*(4/15)

(30/15)*4 = k

2*4 = k

8 = k

2) 360 = k*√36

Here you need to remember that:

6*6 = 36

then √36 = 6

We could just replace that in the equation:

360 = k*6

now let's divide both sides by 6.

360/6 = k*6/6

60 = k

3) 64 = k*(4²)*(2²)

Here we need to remember that:

4² = 16

2² = 4

We can replace these in the equation to get:

64 = k*16*4

and 4*16 = 64

then:

64 = k*64

Now let's divide both sides by 64.

64/64 = k*64/64

1 = k

4) 100 = k*(25)*(4)

Here we know that 4*25 = 100

So replacing that in the equation we get a similar expression to the above one.

100 = k*100

Now let's divide both sides by 100

100/100 = k*100/100

1 = k

5) 6 = k*3

Here just divide both sides by 3.

6/3 = k*3/3

2 = k

I only need 1 b. please no work needed thank you

Answers

Answer:

standard form is x^2-3x-4=0

which is a^2+bx+c=0

so the value of a=1 , b= -3 and c= -4

Gilligan sees a ship coming close to the shore hes standing on.

Answers

i think part a is: yes because both triangles are right angles. it would be postulate SAS

not sure for part b

Find the surface area of the triangular prism

Answers

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524

1. Use the number line to help you decide which statement is true.


Answers

It’s the last one because 1/2 is way more then 2/5 so I think it would be 1/5<1/2 so the last one

Answer:

2/5 < 1/2

Step-by-step explanation:

First, find the LCM for both denominators because you can't multiply 2 to get to 5. The LCM of 5 and 2 are 10, so you put that as their denominator. Then you have to think what you multiplied by 5 or 2 to get 10. For 2/5, you multiplied 5 by 2 to get 10, so multiply the numerator by 2 too. For 1/2, you multiplied 2 by 5 to get 10, so multiply the numerator by 5. Now, you will have 4/10 and 5/10. It's pretty obvious that 5/10 is bigger than 4/10, so the correct answer is 2/5 < 1/2

√26+10-15 cuanto es me ayudan ?​

Answers

Step-by-step explanation:

If the whole thing is in a square root, then the  answer is sqrt21.

If only sqrt26 is in the square root, then the answer is -5+sqrt26.

(esto es en español) (This is in spanish transalation)

Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.

Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.

ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.

Answers

Step-by-step explanation:

Let x be the size of 1 of the 2 congruent angles.

The size of the other congruent angle is also x.

Since sum of angles in a triangle = 180°,

Measure of 3rd angle in the triangle

= 180° - 1st angle - 2nd angle

= (180 - 2x)°.

Answer:

The Isosceles Triangle Theorem, All interior angles of a triangle add up to 180 degrees. Basically the equation would be (angle 1) + (angle 2) + (angle 3) = 180. whichever angle you dont have you replace with x and solve for it. For example if you had a triangle with two congruent angles of 36 then it would be 36+36+x=180 and you would solve it like any other equation eventually showing you that x = 108. it also works backwards if you are trying to solve for the 2 missing congruent angles.

Step-by-step explanation:

Find a slope of each line (each block is one unit):

Answers

Answer:

The slope is -3

Step-by-step explanation:

We have two points

( -1,2) and (1,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -2)/ ( 1 - -1)

   = ( -4-2)/ (1+1)

   = -6/2

   = -3

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