A cylinder has a height of 20 inches. Its volume is 18,149.2 cubic inches. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

Problem 1:

Width of the larger version = 2.99 in.

Problem 2:

Friday = 5⅞ miles

Step-by-step explanation:

Problem 1:

Since the cell-phones are similar in shape and the width and length of both are proportional, therefore:

Width of the bigger phone/Width of the smaller phone = length of the bigger phone/length of the smaller phone

Width of smaller phone = 2.6 in.

Length of smaller phone = 5.4 in.

Width of bigger phone = x = ? in.

Length of bigger phone = 6.21 in.

Therefore:

6.21/5.4 = x/2.6

Cross multiply

5.4 × x = 2.6 × 6.21

5.4x = 16.146

Divide both sides by 5.4

x = 16.146/5.4

x = 2.99

Width of the larger version = 2.99 in.

Problem 2:

Jen's goal for the 5 days = 22 miles

The number of miles she ran Mon to Thursday was given.

To meet her goal, let's find the number of miles she has to run to meet her goal.

Thus:

Number of miles to run on Friday = 22 - (4¾ + 5⅛ + 0 + 6¼)

Change to improper fraction

= 22 - (19/4 + 41/8 + 0 + 25/4)

= 22 - ((38 + 41 + 0 + 50)/8)

= 22 - 129/8

= (176 - 129)/8

= 47/8

= 5⅞ miles

Answer:

Graph the polynomial in order to determine the intervals over which it is increasing or decreasing. Increasing on: (1,∞) ( 1 , ∞ ). Decreasing on: (−∞,1) ( - ∞ , 1 ).

Step-by-step explanation:

Answer:

Step-by-step explanation:

140

Answer:

19° = m∠B

73° = m∠T

88° = m∠R

Step-by-step explanation:

Let x = measure of angle B

then 4x - 3 = measure of angle T

 and 31 + 3x = measure of angle R

x + 4x - 3 + 31 + 3x = 180

8x + 28 = 180

8x = 152

x = 19° = m∠B

4(19) - 3 = 73° = m∠T

31 + 3(19) = 88° = m∠R

Answer:

0.125 ?

Step-by-step explanation:

Answer:

A) f(x)=x/(x-6)^2 over the interval [3, 5]

Step-by-step explanation:

got it right on edge :) good luck!

Answer:

A

Step-by-step explanation:

got it on edge!!

Answer:

6

Step-by-step explanation:

0.9 + ( 1. 7 * 3 )

= 6

mark brainliest

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

Step-by-step explanation:

b¯²/bpower 4

So we can write 1/b²bpower 4

So therefore 1/bpower 6

Given:

[tex]a_n[/tex] is an arithmetic sequence.

To find:

The value of [tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex].

Solution:

We have,

[tex]\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}[/tex]

It can be written as:

[tex]=\dfrac{d}{d}\left[\dfrac{1}{a_1a_2}+\dfrac{1}{a_2a_3}+...+\dfrac{1}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{d}{a_1a_2}+\dfrac{d}{a_2a_3}+...+\dfrac{d}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_2-a_1}{a_1a_2}+\dfrac{a_3-a_2}{a_2a_3}+...+\dfrac{a_{40}-a_{39}}{a_{39}a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_2}+\dfrac{1}{a_2}-\dfrac{1}{a_3}+....+\dfrac{1}{a_{39}}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{1}{a_1}-\dfrac{1}{a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_{40}-a_1}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{a_1+(40-1)d-a_1}{a_1a_{40}}\right][/tex]       [tex][\because a_n=a_1+(n-1)d][/tex]

[tex]=\dfrac{1}{d}\left[\dfrac{39d}{a_1a_{40}}\right][/tex]

[tex]=\dfrac{39}{a_1a_{40}}[/tex]

Therefore, the value of given expression is [tex]\dfrac{39}{a_1a_{40}}[/tex].

Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

Answer:

Adults: 75, girls: 100, Boys: 75

Step-by-step explanation:

2/5 x 250 = 100( girls)

3/10 x 250 = 75 (boys)

250 - (100 + 75) = 250 - 175 = 75 (Adults)

Answer:

I believe the answer is 3/10

Step-by-step explanation:

Or do you need the number of adults or fraction? The number of adults is 75

Answer:

80.5π cm

Step-by-step explanation:

We want to find the area where the label should go onto the can. If we were to take the label and flatten it onto a 2D surface, we would multiply 11.5 cm by the width, which is equivalent to the circumference of the circle. The circumference of the circle can be calculated using the equation 2πr. The radius is 3.5 cm, so the circumference of the circle is 7π. We multiply 7π by 11.5 to get 80.5π cm.

Answer:

12 .

Step-by-step explanation:

12

Answer:

[tex](x - 5)^2 + (y - (-3))^2 = 16[/tex]

Answer:

(x - 5)² + (y + 3)² = 16

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(h, k) is the center = (5, -3)

r is the radius = 4

r² = 4² = 16

Answer:

a is correct ................

Answer:

The percentage of area under a continous probability curve from negative infinity to x.

Step-by-step explanation:

The normalcdf means the normal cumulative density function, it can be accessed from the TI Calculators from the DIST section which also includes the normalcdf, invNorm, tpdf and other distribution functions.

The syntax is as follows :

normalcdf (lower bound, upper bound, mean, standard deviation)

Hence, to Obtian the probability that a value is between a and b, with mean, x and standard deviation, s

The normalcdf is written as normalcdf(a, b, x, s)

Answer:

i am pretty sure the total surface area is 580

The surface area of a cereal box is; 580 square units, if the height is 20 the width is 3 and the length is 10.

L = length = 10 cm

H = height = 20 cm

W = Width = 3 cm

A(1) = L×H×B

Thus, Formula to calculate the surface area of the rectangular prism,

A(1) = 2 ( 30 + 60 + 200 )

A = 580 square units

Surface Area = 580 cm²

Learn more about rectangular prism;

https://brainly.com/question/15843335

#SPJ2

Answer:

D. He should survey all the students in all the history classes to make sure he collects enough data.

Step-by-step explanation:

correct on edge 2021

Answer:

8) 10 15/16 ft³

9) 20 5/6 ft³

Step-by-step explanation:

Volume of a rectangular prism is

l * b * h,

Question 8

We're given the area

Area = l * b

So we substitute the area for length and breadth.

Volume = Area * height

Volume = 4 3/8 * 2 1/2

Volume = 35/8 * 5/2

Volume = 175/16

Volume = 10 15/16 ft³

Question 9

Volume = 5 * 1 2/3 * 2 1/2

Volume = 5 * 5/3 * 5/2

Volume = 5 * 25/6

Volume = 125/6

Volume = 20 5/6 ft³

Answer:

Slope = 2/7

y-intercept = 0

Proportional = yes

It is proportional since we require no additional terms to get y from x and we can multiply each x term by a certain factor to get the y values

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and b is the y-intercept

From what we can see, the slope of the given line is 2/7

As we can see, there is no y-intercept; so the y-intercept value is 0

As we can see, we can multiply each x value by 2/7 to get the corresponding y-value

What this mean is that both variables are proportional

Answer:

_7 + 3 = 3 + 7 : commutative property,[if something is added or subtracted]

0 +5 _ = 5 is it: identity property.[if 0 is added or subtracted]

2 + (6 + 8) =(2 + 6)+ _8 associated property

[if added or multiplied]

Answer:

5-x

Step-by-step explanation:

you will simplify the eq. it will be (x+8)-(x+8)(x-4)

taking (x+8) as common(1-x+4)

(x+8)(5-x)

Answer:

C. yes, no vertical lines pass through two points

Step-by-step explanation:

Answer: I feel like it's between A or C

Step-by-step explanation:

Answer:

once

Step-by-step explanation:

Answer:

do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4

Step-by-step explanation:

Answer:

-1.5 L/h

Step-by-step explanation:

The volume of water in a reservoir decreased from 24.000L to 18.000L between 06.00 and 10.00.

We need to find the average rate of decrease in volume of water. It can be solved as follows :

[tex]Rate=\dfrac{18-24}{10-6}\\\\=-1.5\ L/h[/tex]

The negative sign shows the decrease in volume. Hence, the rate of decrease in volume of water is 1.5 L/h.

Answer:

The 4 packe is better value.

Answer:

The 4 pack has better value.

Step-by-step explanation:

To find the toilet roll price, divide by the number of rolls.

2.04 ÷ 4 = 0.51

4.68 ÷ 9 = 0.52

0.52 > 0.51

So, the 4 pack has better value.

Have a wonderful day! :)

Answer:

3

Step-by-step explanation: