standard form 2.975 x 10-7-

Answer:

Volume of the larger one = 476.5625

Step-by-step explanation:

Remark

This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.

Equations

Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h

Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)

Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)

Solution

Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)

=============================      ==================

Surface area of the smaller cylinder         (2pi*r^2 + 2pi*r*h)

surface area of the larger cylinder = k^2

surface are of the smaller cylinder = 1

200 / 128 = k^2 / 1      Divide the top and bottom of the left by 8

25 / 16 = k^2               Take the square roots of both sides

sqrt(25/16) = sqrt(k^2)

5/4 = k

Now work on the volume.

The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h

The volume of the smaller cylinder =                                pi * r^2 h

The volume of the larger cylinder to the smaller one = k^3 = 1.953125

x / 244 = 1.953125       Multiply both sides by 244

x = 1.953125 * 244

x = 476.5625

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

Answer:

Number of sides of the polygon = 16

Step-by-step explanation:

Sum of the interior angle of a polygon = (n - 2) × 180°

Here, n = Number of sides of the polygon

If sum of the interior angles = 14 × 180°

Therefore, (n - 2) × 180° = 14 × 180°

(n - 2) = 14

n = 14 + 2

n = 16

Number of sides of the polygon = 16

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Step-by-step explanation:

Given:

[tex]h:k=2:5,x:y=3:4,2h+x:k+2y=1:2[/tex]

To find:

[tex]h-x:k-y[/tex]

Solution:

We have, [tex]h:k=2:5[/tex] and [tex]x:y=3:4[/tex].

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

[tex]2h+x:k+2y=1:2[/tex]

It can be written as

[tex]\dfrac{2h+x}{k+2y}=\dfrac{1}{2}[/tex]

[tex]\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}[/tex]

[tex]\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}[/tex]

[tex]2(4a+3b)=1(5a+8b)[/tex]

On further simplification, we get

[tex]8a+6b=5a+8b[/tex]

[tex]8a-5a=8b-6b[/tex]

[tex]3a=2b[/tex]

[tex]a=\dfrac{2b}{3}[/tex]

Now,

[tex]h-x:k-y=\dfrac{h-x}{k-y}[/tex]

[tex]h-x:k-y=\dfrac{2-3b}{5a-4b}[/tex]

[tex]h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}[/tex]

[tex]h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}[/tex]

On further simplification, we get

[tex]h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}[/tex]

[tex]h-x:k-y=\dfrac{-5b}{-2b}[/tex]

[tex]h-x:k-y=\dfrac{5}{2}[/tex]

[tex]h-x:k-y=5:2[/tex]

Therefore, the ratio [tex]h-x:k-y[/tex] is [tex]5:2[/tex].

Answer:

36cm

IM TYPEING RANDOM WORDS CUZ IT SAYS ITS TOO SHORTTTTTTTTTTT

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

(This Message Was Deleted By Author.)

Answer:

979.72

Step-by-step explanation:

First find the amount of tax

895.95 * 9.35%

Change to decimal form

895.95 * .0935

83.771325

Rounding to the nearest cent, tax is 83.77

Add this to the cost of the tx

895.95 +83.77

979.72

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

Answer:

Step-by-step explanation:

If two polygons (in this case triangles) are similar, the ratio of their corresponding sides is constant (SSS)

If two polygons have equal corresponding angles, they are similar (AA)

If two polygons have two corresponding similar sides and the corresponding angle in between the sides are equal, the two polygons are similar (SAS)

Using this info, we can decide whether the triangles are similar or not

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I have uploaded #5 and #8

4.5 i think im really not sure check with someone else before answering

Answer:

Radius refers to the distance between the center of the circle to any point of the circle

Diameter refers to the distance between any two points on the circle passing through the center of circle, it is also equal to radiusx2

Area of circle = πr², where π is a constant (≈3.14159), r is the radius

Halfcircles is basically half of the circle. It has the same radius and diameter as it's full circle but the area of the halfcircle is equal to half of the area of the full circle.

Step-by-step explanation:

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

Answer:

11200

Step-by-step explanation:

is that right

Answer:

∠ A = 35°

Step-by-step explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A = [tex]\frac{1}{2}[/tex] ( 215 - 145) = [tex]\frac{1}{2}[/tex] × 70° = 35°

Answer: 4<x≤8

Step-by-step explanation:

Answer:

-The equation for this problem is:

y=50,000+20,000x

-The money in Sweet Sauce's account after July 31st is $190,000

-The money in the account after 2 years is $530,000.

Step-by-step explanation:

With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:

y=50,000+20,000x, where:

y is the money in the account

x is the number of months that have passed

Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:

y=50,000+(20,000*7)

y=50,000+140,000

y=190,000

Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:

y=50,000+(20,000*24)

y=50,000+480,000

y=530,000

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

Answer:

mathpapa.com

Step-by-step explanation:

Answer:

i cant estimate it but i think 4

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°