Two similar cylinders have volumes 125 and 216. The radius of the smaller cylinder is 3. Find the radius of the larger cylinder.

Answer:

d

Step-by-step explanation:

The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is

[tex]\frac{x}{17}[/tex] = [tex]\frac{37.5}{52.5-37.5}[/tex] = [tex]\frac{37.5}{15}[/tex] ( cross- multiply )

15x = 637.5 ( divide both sides by 15 )

x = 42.5 → d

Answer:

(C) 4,5,8

Step-by-step explanation:

Since 4+5 = 9 and 9 is bigger than 8, that means that the side 8 can fit into the triangle without there being an open space.

Answer:

Option C { 4,5,8 }

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of two sides together must be greater than the length of the remaining side. Respectively their difference must be less than the length of the another side.

* I like to memorize this concept by thinking about a door. The more you open the door, the greater the distance between the door and the wall - as they are proportional. That is how we concluded this theorem.

______

{ 2, 2, 4 } is our first option. The difference of 4 and 2 is equal to the remaining length, 2. { 3, 4, 7 } is not applicable as well, considering that the addition of 3 and 4 is equivalent to the length of the 3rd side, 7. However, the lengths { 4, 5,8 } have no such " errors. " It could be the side lengths of a possible triangle.

______

Solution = { 4,5,8 }

Answer:

its 13/56.

Step-by-step explanation:

13/4d= 14

or , 13 = 14×4d

or, 13=56 d

or, d = 13/56.

Answer:

The answer is D

Step-by-step explanation:

1 3/4d= 14

7/4d = 14

d = 8

Hope I helped pls tell me if i'm wrong :D

Answer:

19e-7

Step-by-step explanation:

I am not sure if you meant to put -7 but I will assume that is it.

Remember combine like terms 25e substract -6e you get 19e and -7 stays the same.

answer:

i believe they all are identical

Step-by-step explanation:

i used a website called desmos graphing calculator and typed each one out and this is what it looked like

Answer:

A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.

Step-by-step explanation:

The equation is :

f(x) = 2x2 + x2

The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.

Answer:

The final balance is $2,402.92.

The total compound interest is $302.92.

Step-by-step explanation:

A = P(1 + r/n)^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

A=2100(1+.045/12)^(3*12)

A=2100(1.00375)^(36)

A=2100*1.442478322

A=2402.92

gain of 302.92

Answer:

350

Step-by-step explanation:

In this situation it seems like we should be rounding to 50 because the numbers work well that way, and it is nice number commonly unsed in these situaltions. So, 645 rounded to the nearentest 50 would be 650. And 273 rounded to the nerent 50 would be 300. Now if we subtract 300 from 650, (650-300) we will get 350.

Answer:

pls format

Step-by-step explanation:

Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

━━━━━━━☆☆━━━━━━━

▹ Answer

-12

▹ Step-by-Step Explanation

35 - (42 + 5)

35 - 47 = -12

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~~~~~

35 - (42 + 5) =

-12

~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice. ❤︎

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

[tex]A = w*l[/tex]

The length of a rectangle is 5m less than three times the width

This means that [tex]l = 3w - 5[/tex]

The area of the rectangle is 50m^(2)

This means that [tex]A = 50[/tex]. So

[tex]A = w*l[/tex]

[tex]50 = w*(3w - 5)[/tex]

[tex]3w^{2} - 5w - 50 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]3w^{2} - 5w - 50 = 0[/tex]

So

[tex]a = 3, b = -5, c = -50[/tex]

[tex]\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625[/tex]

[tex]w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5[/tex]

[tex]w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33[/tex]

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

[tex]l = 3w - 5 = 3*5 - 5 = 10[/tex]

The length is 10 meters

Answer:

20 Pizza

Step-by-step explanation:

Let the number of vegetable pizza be x

Given that

Manuel ordered four times as many cheese pizzas as vegetable pizzas

the number of cheese pizza = 4x

1. no of slice in 1 vegetable pizza pie = 6

no of slice in x vegetable pizza pie = 6x

2. no of slice in 1 cheese pizza pie = 8

no of slice in 4x cheese pizza pie = 8*4x = 32x

Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x

Given that

total no. of 152 slices, therefore

38x = 152

=> x = 152/38 = 4

Thus, no. of vegetable pizza ordered = 4

no. of cheese pizza ordered = 4x = 4*$ = 16

Total no of pizza ordered = 16+4 = 20 (answer)

Answer:

B

Step-by-step explanation:

Answer: positive correlation likely causal

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

C^2=A^2+B^2

C^2=24^2 + 7^2

C^2=576+49

C^2=625

C=√625

c=25

Step-by-step explanation:

The equation is v-1 = -3

Here is the graph :

Answer:

The simple interest is Prt

The simple interest on the money will be $24300

Step-by-step explanation:

The complete question is shown below

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months

Principal = P

Interest rate = r

Time period = t

simple interest owed for the use of the money will be gotten as below

The percentage of the principal that will be owed per unit period is the rate r

The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt

Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed

Total interest = Prt

For a simple interest on the principal P = $18,000,

the interest rate = 7.5% = 7.5/100 = 0.075,

time period = 18 months

we assume the interested is calculated on a monthly basis

Simple interest = Prt

==> 18000 x 0.075 x 18 = $24300

Answer:

44π rads per seconds

Step-by-step explanation:

Already the speed of the 4 foot blade is given as 22 revolutions per sec.

What we have to do is just to convert the 22 revolutions per second to radians.

1 rev = 360°

360° = 2π

So the speed is actually equal to

22 *360 = 7920° per second

Or

22*2π = 44π rad per seconds

What ever way the answers are both same.

Answer:

12am

Step-by-step explanation:

Answer:

12:00 am or midnight

Step-by-step explanation:

00 00 hrs in 12-hours clock is 12:00 am or 12:00 o'clock midnight.

Answer:

yes

Step-by-step explanation:

it is

because difference between each two consecutive terms are equal

26-20=32-26=38-32

for the formula:

20 is the first term.

6 is the difference between each two consecutive terms

so:

[tex]y = 6(x - 1) + 20 \\ y = 6x + 14[/tex]

Answer:

4(3x-2)+6x(2x-1)

12x-8+12^2x-6x

12x-6x +12^2x-8

6x+12^2x-8

Answer:

the first step in simplifying 4(3x-2)+6x(2-1) is to do subtract 1 from 2 in the second set of parenthesis.  That will get you 4(3x-2)+6x(1)

The equation completely simplified is 18x-8

-look in the step-by-step explanation if you want to know all the steps to simplifyinh the equation

Step-by-step explanation:

Now if you want to know the rest here it is:

Then use the Distributive Property:

-distribute the 4 into (3x-2) to get 12x-8

-then distribut the 6x into (1) to get 6x

Your equation is now 12x-8+6x

Finally, add 12x and 6x to simplify the equation as much as you can

you get 18x-8 as you final, most simplified answer

Answer: x = 22

Step-by-step explanation: To get x by itself, we divide both sides by 2 and we have x = 22 which is the solution to this equation.

Answer:x=22

Step-by-step explanation:divide 3 by both sides makes x=22

True.

Integration is also called anti-differentiation, mathematically its an inverse function of differentiation.

For example, one of the first equalities learned is:

[tex]f(x)=g'(x)\Longleftrightarrow\int g'(x)dx=f(x)[/tex].

Which explains that if you differentiate a function (get its derivative) and then integrate the derivative you will obtain the original function.

Hope this helps.

Answer:

answer C

Step-by-step explanation:

hello

set A is [tex]10^x[/tex]

set B is 1000+50(x-1)

so set A is an exponential function and the values increase at a faster rate than set B

hope this helps

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

Answer:

41.1 units

Step-by-step explanation:

find the area of the triangle

1/2BH

1/2*8*4

4*4=16

find the area half of the circle

pi*R^2

3.14*4^2

3.14*16

50.24/2

^because it is a half circle you divide by 2

25.12+16=41.1

Answer:

38500lbs

Step-by-step explanation:

2000 lbs is one tone

if we have 19.25 tons, we need to multiply 19.25x2000

The answer is 38500 lb

Answer:

38,500 pounds

Step-by-step explanation:

Every ton is 2,000 pounds.

We want to find out how many pounds are in 19.25 tons.

Set up a proportion.

pounds/tons=pounds/tons

2,000 pounds/ 1 ton= x pounds / 19.25 tons

2,000/1= x  /19.25

x is being divided by 19.25. The inverse of division is multiplication. Multiply both sides by 19.25.

19.25*2,000/1= x/19.25 *19.25

19.25*2000=x

38,500=x

There are 38,500 pounds in 19.25 tons.

Answer:

  $2.67 million

Step-by-step explanation:

Average price per slot is found by dividing total price by total slots:

  ($136 million)/(51 slots) ≈ $2.67 million/slot

The mean price per ad slot was $2.67 million.