find the radius given the linear speed and rate of rotation v=24.8m/s, 120 rev/mins

Answer:

1

Step-by-step explanation:

[tex]cos²30° + cos²60° + cos²90°\\ + 2 cos 30° cos 60° cos 90° \\ \\ = \bigg( \frac{ \sqrt{3} }{2} \bigg) ^{2} + \bigg( \frac{ 1 }{2} \bigg) ^{2} + \bigg( 0\bigg) ^{2} \\ + 2 \times \frac{ \sqrt{3} }{2} \times \frac{ 1 }{2} \times 0 \\ \\ = \frac{3}{4} + \frac{1}{4} + 0 + 0 \\ \\ = \frac{3 + 1}{4} \\ \\ = \frac{4}{4} \\ \\ = 1[/tex]

Answer:

Helpppppp

Step-by-step explanation:

Answer:

4 meters

Step-by-step explanation:

Let the height at which the top of the ladder is be represented by h. The sketch of the question forms a right angled triangle. So that applying the Pythagoras rule,

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]5^{2}[/tex] = [tex]h^{2}[/tex] + [tex]3^{2}[/tex]

25 = [tex]h^{2}[/tex] + 9

[tex]h^{2}[/tex] = 25 - 9

   = 16

⇒ h = [tex]\sqrt{16}[/tex]

      = 4

Therefore, the height at which the top of ladder is placed is 4 meters.

Answer:

$69 is the total cost of the bill

Step-by-step explanation:

60(1.15)

60 is the cost of the bill, and the 1.15 is the added tax plus the previous $60.

Put 60(1.15) into a calculator and

$69

Answer:

There are 6 blocks in each row

Step-by-step explanation:

The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7.

So, 42 ÷ 7 = 6. There are 6 blocks in each row.

Hope this Helps!

Total number of row is 6 row.

Given that;

Total number of block = 42 block

Total number i=of block in each row = 7

Find:

Total number of row

Computation:

Total number of row = Total number of block / Total number i=of block in each row

Total number of row = 42 / 7

Total number of row = 6

Learn more:

https://brainly.com/question/12000324?referrer=searchResults

Answer:

2(a) 30°

(b) 48,59°

(c) 31,4485°

(d) 33,005565°

Answer:

Step-by-step explanation:

i hopes this helps

Answer:

sss

Step-by-step explanation:

since the problem dosent give angles its most likes sss

Answer:

so i cant really see it but it looks as if the two triangles are right angles and are congruent.

Step-by-step explanation:

so i hope this helps a little if so mark as brainleist pls have a nice day

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

The interest rate is  or 0.02 as a decimal. The interest rate is 2% as a percentage.

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Answer:

4,550

Step-by-step explanation: 7 x 650 is 4,550

Answer:

52

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 / 4 = 39 / x

4*39 = 3*x

x = 42

Answer:

m= 6/7

decimal form m= 0.857

Step-by-step explanation:

hope this helps

Answer:

m=6/7

m=0.857...

Step-by-step explanation:

-4m - 6 + 6-m = -5 + 2m - 1​

-5m-6+6=-5+2m-1

-5m=-5+2m-1

-5m=2m-5-1

-5m=2m-6

-5m-2m=2m-6-2m

-7m=-6

divide both sides by -7

x=6/7

Answer:

64 : 1.

Step-by-step explanation:

Ratio of the volumes is 16^3 to 4^3

= 4096 : 64

= 64 : 1.

Answer:

The water level is rising at the rate 0.238 cm per second

Step-by-step explanation:

Let the radius and height of water at time t be r and h respectively.

Height of cup =H= 8 cm

Radius of cup = R = 4 cm

By symmetry

[tex]\frac{r}{h}=\frac{4}{8} \\r=\frac{1}{2}h ---1[/tex]

Volume of water at time t , [tex]V= \frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{dV}{dt}=\frac{1}{3}\pi 2r \frac{dr}{dt} h+\frac{1}{3} \pi r^2 \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{3}\pi r (2 \frac{dr}{dt} h+ r \frac{dh}{dt})[/tex]

With 1

[tex]\frac{dr}{dt}=\frac{1}{2} \frac{dh}{dt}[/tex]

So,

[tex]\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) (2 (\frac{1}{2} \frac{dh}{dt}h)+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( \frac{dh}{dt}h+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( h+\frac{1}{2}h) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi h(\frac{3h}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi (\frac{3h^2}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{12}\pi 3h^2 \frac{dh}{dt}[/tex]

We are given that Water is poured into a conical paper cup at the rate of 3 cubic centimeters  (cm) per second (s).

We are supposed to find how fast the water level is rising at the instant the water is 4 cm deep.

So,[tex]\frac{1}{12}\pi 3(4)^2 \frac{dh}{dt}=3\\\frac{dh}{dt}=\frac{3 \times 12}{\pi 3(4)^2 }=0.238[/tex]

Hence the water level is rising at the rate 0.238 cm per second

The radius in terms of height is [tex]\mathbf{r =\frac 12h}[/tex], while the water level increases at 0.239 cm per second when the height is 4 cm

(a) Radius in terms of height

The given parameters are:

[tex]\mathbf{h = 8cm}[/tex] --- height

[tex]\mathbf{r = 4cm}[/tex] --- radius

The above parameters can be written as:

[tex]\mathbf{r :h =4cm : 8cm}[/tex]

[tex]\mathbf{r :h =4 : 8}[/tex]

Express as fractions

[tex]\mathbf{\frac rh =\frac 48}[/tex]

[tex]\mathbf{\frac rh =\frac 12}[/tex]

Multiply both sides by h

[tex]\mathbf{r =\frac 12h}[/tex]

(b) How fast the water is rising

The volume of a cone is:

[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]

Differentiate with respect to time

[tex]\mathbf{V' = \frac 13 \pi(2rh\ \frac{dr}{dt} + r^2\frac{dh}{dt})}[/tex]

When the water is 4cm deep, then the radius is 2cm using [tex]\mathbf{r =\frac 12h}[/tex]

So, we have:

[tex]\mathbf{V' = \frac 13 \pi(2 \times 2 \times 4\times \frac{dr}{dt} + 2^2\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(16 \frac{dr}{dt} + 4\frac{dh}{dt})}[/tex]

Also, we have:

[tex]\mathbf{r =\frac 12h}[/tex]

Differentiate with respect to time

[tex]\mathbf{\frac{dr}{dt} = \frac{1}{2}\frac{dh}{dt}}[/tex]

So, we have:

[tex]\mathbf{V' = \frac 13 \pi(16 \times \frac{1}{2}\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(8\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(12\frac{dh}{dt})}[/tex]

Expand

[tex]\mathbf{V' = 4\pi\frac{dh}{dt}}[/tex]

The volume increases at 3 cm^3 per second.

So, we have:

[tex]\mathbf{3 = 4\pi\frac{dh}{dt}}[/tex]

Divide both sides by 4

[tex]\mathbf{0.75 = \pi\frac{dh}{dt}}[/tex]

Divide both sides by pi

[tex]\mathbf{0.239 = \frac{dh}{dt}}[/tex]

Rewrite as:

[tex]\mathbf{\frac{dh}{dt} = 0.239}[/tex]

Hence, the water level increases at 0.239 cm per second when the height is 4 cm

Read more about volumes at:

https://brainly.com/question/1984638

Answer:

x = 4.25 (A. 4.25)

Step-by-step explanation:

(For, 4x + 39) 4 times 4.25 = 17, then add 17 + 39, which gets you to 56.

( for 16x - 12) multiply 16 times 4.25 = 68. subtract 12 from 68 to equal 56.

Answer:

$46325 in total for the car

Step-by-step explanation:

Answer: the data point for player G is an outlier.

Step-by-step explanation:

Answer:

The data point for player G is an outlier.

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-7y+8x

Step-by-step explanation:

-7y+8x

Answer:

(1,220,707,125) B

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^3+3x^2<x+3

(-∞,-3)∪(-1,1)

Answer:

3

Step-by-step explanation:

because there are 3 x's

Answer:

no.

Step-by-step explanation:

b ∩ c   is the values that appear in both  b  and  c.

b ∪ c   is all the values in  b and  c.

Answer:

4 times

Step-by-step explanation:

Given that the sum of all the numbers => 3+4+5+6+7+8+9+10 = 52

And we are to divide it into two sets such that the sum of set B is three times the number of sum of set A => Sum B = 3 * Sum A

Hence Total sum = Sum B + Sum A

Total sum ÷ 4 = 52 ÷ 4 = 13.

Since Sum B = (3 * Sum A) => (3 * 13 ) = 39

Therefore Sum B = 39 and Sum A = 13

To divide them into two sets

Sum A = (10, 3) = 13: Sum B = ( 4, 5, 6, 7, 8, 9) = 39

Sum A = (9, 4) = 13: Sum B = (3, 5, 6, 7, 8, 10) = 39

Sum A = (8, 5) = 13: Sum B = (3, 4, 6, 7, 9, 10) = 39

Sum A = (7, 6) = 13: Sum B = (3, 4, 5, 8, 9, 10) = 39

Hence, the correct answer is 4 times

Answer:

y= -1/2x

Step-by-step explanation:

Answer:

3.41

Step-by-step explanation:

divided 20.46 by 6

Answer:

$3.41

Step-by-step explanation:

You divided the total cost by number of books.

20.46 divided by 6 = 3.41.

Answer:

the slope is -3, the slope is negative, the y-intercept is 0

Step-by-step explanation:

this ones are the ones that apply to the graph

Answer:

20,80

Step-by-step explanation:

[tex]Let\ Abduls\ present\ age\ be\ x\\His\ Grandfather's\ present\ age\ = 4x\\\\Abdul's\ age\ before\ 10\ years=x-10\\His\ Grandfather's\ age\ before\ 10\ years =4x-10\\\\We\ are\ given\ that\ ,\\Abdul's\ Grandfather's\ age\ before\ 10\ years = 7 * Abdul's\ age\ before\ 10\ years\\Hence, \\4x-10=7(x-10)\\4x-10=7x-70\\-10+70=7x-4x\\60=3x\\x=20\\Hence,\\Abduls\ present\ age\ =20\\His\ grandfather's\ present\ age\ = 4*20=80[/tex]

Answer:

Abdul's age=20 y/o

Grandpa's age=80y/o

Step-by-step explanation:

let Abdul's age be 'x'

so, grandpa's age=4x

Grandpa's age 10 yrs ago= 4x-10

according to the question, grandpa's age 1o yrs ago=7(x-10)

so, 4x-10=7(x-10)

     4x-10=7x-70

by substituting,

     70-10=7x-3x

     60=3x

     60/3=x

      20y/o=x

so, 4x=20*4=80 y/o