emma records the number of spots in 5 ladybugs

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

Answer:

x = -5

Step-by-step explanation:

25 = -5x

x = -5

Answer:

$1084545551

Step-by-step explanation:

We have:

$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551

Answer:

Step-by-step explanation:

In dart, adjacent sides are equal

JK = GK

3x - 9 = x + 13            {Add 9 to both sides}

3x      = x + 13 + 9

    3x = x + 22            {Subtract 'x' from both sides}

3x -x = 22

 2x  = 22           {Divide both sides by 2}

   x = 22/2

x = 11

JH = GH

9y = 5y + 8  {Subtract 5y from both sides}

9y - 5y = 8

    4y = 8        {Divide both sides by 4}  

  y   = 8/4

y = 2

Answer:5 days

Step-by-step explanation:

13+3=16

16+3=19

19+3=22

22+3=25

25+3=28

Answer:

12.72 Cents Per Minute

Step-by-step explanation:

Divide 700 by $55 to get the dollars per minute

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

Answer:

7.91

Step-by-step explanation:

I just took the quiz and i got an A

Answer: 102

Step-by-step explanation:

Answer:

if this is what you looking for

= 2

x = − 6

6Step-by-step explanation:

Answer:

100•a²•b

Step-by-step explanation:

10•10=100

a•a=a²

and then just b

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

Answer:

I think around [tex]\frac12[/tex] would be a fraction form. An exact form would literally one half 638 + 124 = 762       762 is equal to 762

Step-by-step explanation:

So therefore, 762 is your half and one half is your awnser

                                         I believe i'm right!      

A survey is conducted in order to collect a piece of specific information. The percentage of Americans who wear corrective lenses in America is 76.2%.

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given the survey was taken for 1000 people, the number of people in this survey who wear corrective lense is 762. Therefore, the ratio of the people who wear corrective lense is,

Ratio = 762/1000 = 0.762 = 76.2%

Since the people in a survey represent the entire population, therefore, the percentage of Americans who wear corrective lenses in America is 76.2%.

Learn more about Survey:

https://brainly.com/question/17373064

#SPJ2

Answer:

36 inches²

Step-by-step explanation:

[tex]A=bh[/tex] where b is the base length and h is the height

The base length of the parallelogram is 12 inches and its height is 3 inches. Plug these values into the equation.

[tex]A=(12)(3)\\A=36[/tex]

Therefore, the area of the figure is 36 inches².

I hope this helps!

Answer:

yes the answer is 36in. Which mean the person is right too

Answer:

x=12

Step-by-step explanation:

the 2 triangles are proportionately identical.

the larger one is 1/3 larger, so x would be 9 plus 1/3 of 9- 12

Answer:

y=0.875x + 6

Step-by-step explanation:

Answer:

Y= 7/8X+6

Step-by-step explanation:

Good luck bro .

Answer:

x ≥ 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3x ≤ -18

Step 2: Solve for x

https://courses.lumenlearning.com/prealgebra/chapter/using-properties-of-angles-to-solve-problems/#:~:text=We%20measure%20angles%20in%20degrees,they%20are%20called%20supplementary%20angles.

Answer: do you mean how to find the degree?

Step-by-step explanation:

Count the number of sides in the polygon.

Find the total measure of all of the interior angles in the polygon

Divide the total measure of all of a regular polygon's angles by the number of its angles.

Subtract the sum of the known angles from the total measure of the angles for an irregular polygon.

it really depends

Answer

88.6 cm

Step-by-step explanation:

Answer:

[tex]x^{3}[/tex]

Step-by-step explanation:

in powers:

when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36

so in this one try to do it like the one up there

6*[tex]\frac{1}{2}[/tex]=3 so it is [tex]x^{3}[/tex]

Answer:

a. 3 5/6

b. 5 1/7

Step-by-step explanation:

Answer:

5.83333333333
5.14285714286

Step-by-step explanation:

Answer: V≈565.49

Step-by-step explanation:

V=πr2h=π·62·5≈565.48668

Answer:

60y+48

Step-by-step explanation:

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

Answer:

y=-4x-2

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

Answer:

x

Step-by-step explanation:

you do your x and y on anything

Answer:15

Step-by-step explanation:

width - 6

height - 5

6 x 5 / 2 = 15

(Please tell me if I read it wrong, It's not really clear)

Music 28%

Athletics 42%

Neither 30%

Answer:

Step-by-step explanation:

Let the line 4x-y+k=0

Now 4×(-2)-4+k=0

K=12

So, the line will be 4x -y +12