"If the radius of the closed cone is doubled, show algebraically how this affects the surface area in comparison to the original cone."
How do I do this question?

Answers

Answer 1

Answer:

It would help to have the cone area formula:

Area = PI * radius * slant height

Let's say the height is 12cm radius is 5 cm

which makes the (slant height)^2 = 12^2 + 5^2 = 169

slant height = 13

and surface area = PI * 5 * 12 =  188.4955592154

If radius = 10 then (slant height)^2 = 12^2 + 10^2 = 244

slant height = 15.6204993518

surface area = PI * 10 * 15.62 = 376.99

376.99 / 188.4955 = 2

So, if radius is doubled, surface area is doubled.

Source: http://www.1728.org/volcone.htm

 

Step-by-step explanation:

"If The Radius Of The Closed Cone Is Doubled, Show Algebraically How This Affects The Surface Area In

Related Questions

I need help on this asap please!

Answers

Answer:

-8 5/20 , 4/25 , 9/20

Step-by-step explanation:

If there are negative numbers, those are the least. Let's say the number was -2 and -1. With a positive integer, 2 would be greater, but since it's negative, it's the least. SO -8 and 5/20 would be the least. Then putting the other two fractions into decimal form, or you can find the greatest common denominator, you'll find that 9/20 is greater than 4/25.

(a+2b)^2
.............

Answers

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Solve for a.
-4a – 2a – 7 = 11
a =
[?]

Answers

Answer:

a = [-3]

Step-by-step explanation:

-4a - 2a - 7 = 11

Combine like terms

-4a - 2a = -6a

-6a - 7 = 11

Add 7 to both sides

-6a = 18

Solve for a

a = 18/-6
••••••••••••••••••••••••••••••
doomdabomb:
All brainliest and thanks
are appreciated and
would mean a lot to me,
thanks!

a = -3
••••••

Answer:

or, -4a - 2a -7 = 11

or, -4a -2a =11 +7

or, - 6a = 18

or, a= 18÷ -6

a= -3

The sum of twice a number and 13 is 75.

Answers

Answer:

The value of this number is 31.

Step-by-step explanation:

To solve this you could set up an equation and solve for x.

Sum means add, so you are going to add 2n and 13 to get 75.

2n + 13 = 75

Subtract 13 from both sides.

2n = 62

To get n alone, divide by 2 on both sides.

n = 31

The value of this number is 31.

Have a nice day, please mark brainliest if possible! :)

Which is the simplified form of the expression (602)(99) *•(104)(4??
1
o
О.
p12760

Answers

Answer:

[tex]q^{-30}[/tex]

Step-by-step explanation:

[tex](p^{2}q^{5})^{-4}\cdot(p^{-4}q^{5})^{-2}\\=p^{-8}q^{-20}\cdot p^{8}q^{-10}\\=p^{-8+8}\cdot q^{-20+-10}\\=q^{-30}\\[/tex]

Find X.
Use angle center circle page for reference.
Explain your answer.

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Refer to the diagram below for letter names of points.

Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].

Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].

Using the Angle Addition Postulate, we can write the following equation:

[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]

Substituting the measures of each angle into the equation gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

Solving the equation for [tex]x[/tex] gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)

Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!

round 1.89 to one decimal place

Answers

Answer:

1.9

Step-by-step explanation:

You round when the numbers behind the decimal are 5 or greater. This being said, you need to round from the number furthest away from the decimal. In this case it would be 9. 9 is greater than 5 so we round 8 up to 9 and get rid of the number behind it. We are left with 1.9

Answer ASAP please!

Which of the following statements is correct?

A :sin 42° = cos 52°
B:sin 90° = cos 90°
C:cos 30°= sin 70%
D:sin 80º = cos 10°
E:cos 60°= cos 30

Answers

Answer:

D

Step-by-step explanation:

A. Sin 42=0.669

Cos=52=0.617

B. Sin 90=1

cos 90=0

C. cos30=0.866

sin 70=0.940

D. sin80=0.985

cos 10=0.985

find the surface area of triangle prism. ​

Answers

Step-by-step explanation:

the area of a triangle is baseline×height/2

in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.

so,

B = 8×6/2 = 8×3 = 24 yd²

the height h is 8 yd (as the picture clearly shows).

the perimeter of the base is the sum of all three sides

P = 8 + 6 + 10 = 24 yd

Solve the equation involving simple interest.
If 7500$ grows to 8700$ after four years, find the simple interest rate.

Answers

Step-by-step explanation:

look it is very easy.

use formula of simple interest

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.

Answers

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

3x^2 – 7x + 4

a=3   b = -7   c=4

The discriminant is

b^2 -4ac

(-7)^2 - 4(3)(4)

49 - 48

1

Since the discriminant is greater than zero, there are two real solutions

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

C no dolfneidlxnxbxjkdkdmd dnkfldmfkd

Birifnff

Answers

Answer:

this is even math bro

Step-by-step explanation:  

Can somebody help me please.

Answers

I’m pretty sure it is 57?

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

C

Step-by-step explanation:

Simplify 9x + 4 + 2x + 2 by combining like terms.

Answers

Answer:

11x+6

Step-by-step explanation:

9x + 4 + 2x + 2

Combine like terms

9x+2x   + 4 +2

11x     +6

Answer:

11x + 6

Step-by-step explanation:

9x + 4 + 2x + 2

Combine like terms

9x + 2x = 11x

Combine like terms

4 + 2 = 6

Answer: 11x + 6

1a.-14,____,-6,____,2,____,10
b. ____, - 2,4,____,16,____,64

2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z

Please help me to solve these question, thank you. ​

Answers

Answer:

102

Step-by-step explanation:

x= 12

y= 30

z= 60

Hope u got it

Answer:

Hello,

a) -6

b) -39

c) 102

Step-by-step explanation:

I suppose this are sequence arithemical or geometrical

[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]

[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]

c)

All those numbers are divisor of 3*4*5=60

x=12, y=30, z=60

x+y+z=12+30+60=102

Find the area of the sector.

Answers

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

Given variable

θ = 270°

r = 7 mi

Given formula

A = (θ / 360) πr²

Substitute values into the formula

A = (270 / 360) π (7)²

Simplify exponents

A = (270 / 360) π 49

Simplify by multiplication

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

On a horizontal number line, numbers to the...... are less than numbers to the..... Numbers to the right are........ numbers to the left.

Answers

on a horizontal number line . numbers to the left are less than numbers to the right .. numbers to the right are less than numbers to the left

Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.

Answers

Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33

5w = 23 - 3f and 4f = 12 - 2w

Answers

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

Answer:

Step-by-step explanation:

Find the length of each side and the
perimeter.
(5n -17) cm
(2n + 1) cm
n cm

Answers

7n-16

Step-by-step explanation:

Sry can u give me the picture

plzzzzzzz help asap!!!!!! T.T

Answers

C

since the graph is almost symmetrical then the mode,median and mean are approximately equal

What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6


please explanation needed

Answers

Let the adding value be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]

[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]

[tex]\\ \sf\longmapsto x=13[/tex]

(5x+1)(5x-1) what is the answer

Answers

(a+b)(a-b)=a^2-b^2

[tex]\\ \rm\Rrightarrow (5x+1)(5x-1)[/tex]

[tex]\\ \rm\Rrightarrow (5x)^2-(1)^2[/tex]

[tex]\\ \rm\Rrightarrow 25x^2-1[/tex]

Answer: 25x²-1

i have attached a graph of it if you need it :)

Một ôtô đi từ A đến B với vận tốc 60km/h và đi từ B về A với vận tốc 45km/h. Thời gian cả đi và về hết 7giờ. Tính quãng đường AB

Answers

Please explain in english

Answer:

Đáp án: 180km

Step-by-step explanation:

Giải thích các bước giải:

Gọi quãng đường AB là x (km)

            (x > 0)

Thời gian ô tô đi từ A -> B là x/60 (h)

Thời gian ô tô đi từ B -> A là x/45 (h)

Vì thời gian cả đi và về hết 7h

=> x/60 + x/45 = 7

=> x = 180 (TM)

Vậy quãng đường AB là 180 km

4. Find the range of the number line shown below. ​

Answers

Answer:

I think is 4

Step-by-step explanation:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>sp​

Answers

Step-by-step explanation:

what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>sp

125 Children get one pen, there are 8
pens in a pack. How many pens are
needed?

Answers

Answer:

16 packs

Step-by-step explanation:

Take the number of children and divide by the number of pens in a pack

125/8

15.625

We need to round up to get the number of packs

16 packs

Answer:

125 pens and 16 packs.

Step-by-step explanation:

Given:

Each child gets 1 pen.There are 125 children.Each pack has 8 pens.

Each child gets 1 pen, so there needs to be 125 pens.

Since there are 8 pens in a pack, there will need to be:

125 / 8 = 15.62

Estimate:

16 packs

There needs to be 16 packs for the 125 children.

Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28

Answers

Answer:

a=35,b=49,c=-14

Step-by-step explanation:

[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]

plz help me to slove this ​

Answers

Answer:

50

Step-by-step explanation:

= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5

= 3^3 + (12) + 2^2 + (3 + 2)^5

= 3^3 + 12 + 2^2 + (5)^5

= 9 + 12 + 2^2 + 5^5

= 9 + 12 + 4 + 5^5

= 9 + 12 + 4 + 25

= 50

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