A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.

Answers

Answer 1

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.


Related Questions

Help please!! Which are factor pairs of 3580? (Hint: Look at the first factor in each pair and use divisibility rules.) Select all that apply. O 2 x 1790 O 6 x 597 3 x 1193 8 x 448 5 x 716 4 x 895 O 9 x 398 O 10 x 358​

Answers

Answer:

2×1790

5×716

4×895

10×358

Which fraction is equivalent to 1/2 • 4/3 divided by 5/6 ?

Answers

I believe the answer you are looking for is 4/5.

Solution:

1/2 • 4/3=2/3

2/3÷5/6=2/3 • 6/5

4/5

The scale on a map shows that 200 miles is represented by 5 inches on a map which proportion can be used to find the distance of the map Xterra presents 50 miles

Answers

Answer:

gzhausiaoa

Step-by-step explanation:

hshshsshhehehehehhdhdhdhdhhdhdhdfhfh

the area of a square is below. A= 40in^2 find the length of the side. round your answer to the nearest tenth

Answers

Answer:

6.3

Step-by-step explanation

Each side of a square is equal; therefore, to find the length of one side, we can find the square root of the area, which, rounded, is 6.3.

Answer:

a=A=40≈6.32456in

There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.

Answers

We know that:

There are n arithmetic means between the numbers 33 and -3

second last mean: second mean = 1:5

Using this, we can find that the value of n is 9.

Now let's see how we need to use the information.

"There are n arithmetic means between the numbers 33 and -3"

This means that we will have a sequence like:

33, a₁, a₂, ..., aₙ, -3

And by the given ratio, we know that:

aₙ₋₂:a₂  = 1:5

Also, because this is an arithmetic sequence we have:

a₁ = 33 + d

a₂ = 33 + d + d

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

Because of the ratio, we will have that:

aₙ₋₂/a₂ = 1/5

We can replace what the left side by:

(-3 - 2*d)/(33 + 2*d) = 1/5

now we can solve this for d.

-3 - 2*d = (33 + 2*d)*(1/5)

5*(-3 - 2*d ) = (33 + 2*d)

-15 - 10d = 33 + 2d

-15 - 33 = 2d + 10d

-48 = 12d

-48/12 = -4 = d

So now we know that the value of d is -4.

Now we can use the equation

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

to find the value of n:

33 + (n - 2)*d = -3 - 2*d

33 + (n - 2)*-4 = -3 - 2*-4

33 - 4n + 8 =  -3 + 8

41 - 4n = 5

-4n = 5 - 41 = -36

n = 36/4 = 9

The value of n is 9.

If you want to learn more, you can read:

https://brainly.com/question/11559160

Answer:

Step-by-step explanation:

HI. just posted a question can u help me out pleas please

Evaluate the expression.
0.2 ÷ -1×(0.6 – -0.4)
Write your answer as an integer or a decimal. Do not round.
pls help this is due tonight and i really need help

Answers

Is it [ -(–0.4) ] or (-0.4) did you solve it both ways if it was [–(–0.4) ] or (-0.4)

____o______o____

[tex]0.2 \div - 1 \times (0.6 - 0.4) \\ = - 0.2 \times (0.2) \\ = - 0.04[/tex]

_____o_____o_____

[tex]0.2 \div - 1 \times (0.6 - ( - 0.4)) \\ = - 0.2 \times (0.6 + 0.4) \\ = - 0.2(1) \\ = - 0.2[/tex]

I hope I helped you^_^

An account pays 3.1% interest compounded quarterly.
Marson will make a regular deposit at the end of every 3 months, and wishes to reach a goal of $4500 after 3 years.
What is the amount of the regular deposit every 3 months?
$356.92
$349.39
$374.95
$359.29

Answers

359.29 that one for sure

solve the equation -8(3x-1/4)=2(9-7x)

Answers

Answer:

x= - 8/5

Step-by-step explanation:

-24x+2=18-14x

-24x+14=18-2

-10x=16

x= - 8/5

the width of a rectangle is 2w and the length is (w+5) the perimeter is 40 inches what are the measurements of the rectangle​

Answers

Width = 2w , Length = w+5 , perimeter = 40

Perimeter of rectangle = 2 (Length + Width)

P= 2 (L + w)

40 = 2 [ (w+5) + (2w) ]

40 = 2 ( 3w+5)

40= 6w +10

6w= 40 – 10

6w= 30

w = 30/6

w = 5

Width = 2w = 2(5) = 10

Length = w + 5 = 5+5 = 10

I hope I helped you^_^

Help ASAP
Determine the DOMAIN in interval Notation

Answers

Answer:

(-3,0)

[0,4]

Step-by-step explanation:

What is the definition of "coplanar" in geometry?

Answers

Lines or points that are in the same plane.
it's when points or lines are in the same place/lane !! hope this helped could you give me brainliest it's fine if no

-2z-xy=x+7 solve for x

Answers

Answer:

[tex] - 2z - xy = x + 7 \\ x + xy = - 2z - 7 \\ x(1 + y) = - 2z - 7 \\ \\ x = \frac{ - 2z - 7}{1 + y} [/tex]

I hope I helped you^_^

If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which number would have to be added to "complete the square"?

Answers

Answer:

The numbers are --> x = -4 + √21 i and  x = -4 — √21 i

See the attachment for my step-by-step explanation

(solution is in red box)

The number that would have to be added in the given quadratic equation to complete the square is '-21' and this can be determined by using the factorization method.

Given :

Quadratic equation  --  [tex]x^2+8x+37 = 0[/tex]

The following steps can be used in order to determine the number that would have to be added to complete the square:

Step 1 - The factorization method can be used in order to determine the number that would have to be added to complete the square.

Step 2 - Write the given quadratic equation.

[tex]x^2+8x+37 = 0[/tex]

Step 3 - Now, if '-21' is added in the above quadratic equation then the above equation becomes the complete square.

[tex]x^2+8x+37+(-21) = 0[/tex]

[tex]x^2+8x+16 = 0[/tex]

[tex](x+4)^2 = 0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/17177510

what is the answer for 23/4 + -23/4 - -15/4 + 9/4

Answers

Answer:

[tex]-\frac{6}{4}[/tex]

Step-by-step explanation:

The first 2 numbers cancel, and -15/4+9/4 is the same as 9/4 - 15/4

Please mark me as brainliest if I am correct

Answer:

6

Step-by-step explanation:

In the equation, [tex]\frac{23}{4} + -\frac{23}{4} --\frac{15}{4} + \frac{9}{4}[/tex], we can see that [tex]\frac{23}{4} + -\frac{23}{4}[/tex] cancel each other out

This leaves us with [tex]--\frac{15}{4} + \frac{9}{4}[/tex]. The negatives "negate" themselves giving us [tex]\frac{15}{4} + \frac{9}{4} = \frac{24}{4}[/tex] or [tex]6[/tex]

Hopefully (some part of) this explanation makes sense (or at least somewhat). If this doesn't make sense, please tell me and I will try to make it more understandable as soon as possible.

It would help if you marked my answer as Brainliest, if I'm correct, so I can help even more people! (I would really appreciate it!)

Mr Daniel left some money to be shared between Ann aNd Annie in the ratio 5:7. If Annie had €45.00 more than Ann . Find each person’s share

Answers

Answer:

Ann = 112.5 and Annie = 157.5

Step-by-step explanation:

7-5 = 2

One share = 45/2 = 22.50

Ann = 22.5 x 5 = 112.50

Annie = 22.5 x 7 = 157.50

You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann

Hope this helps!!

given: x+21=7(x+9)
Find: x^2+5x

Answers

Answer:

14

Step-by-step explanation:

x+21=7(x+9)

x+21=7x+63

-6x=42

x=-7

(-7)^2+5(-7)

=49+(-35)

=49-35

=14

-1/3 + -3/8

How do I add these 2 fractions?

Answers

Answer:

-17/24

Step-by-step explanation:

[tex] - \frac{1}{3} + - \frac{3}{8} = - \frac{1}{3} - \frac{3}{8} = - ( \frac{1}{3} + \frac{3}{8} ) = - (\frac{8 + 9}{24} ) = - \frac{17}{24} [/tex]

find the determinant of 2P-3Q if P=(2/3-1/4) and Q=(2/0-3/5)​

Answers

2P-3Q
=2×(2/3-1/4)-3×(2/0-2/5)
Any expression divided by 0 is undefined

Hope my answer helped u :)

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches

Answers

Answer:

5

Step-by-step explanation:

Solution is 8 in

Let´s call dimensions of the box

x  the length of the boxy the width  of the box    andh the height  of the box

According to the problem statement

y = x + 3     and    h = 4 in

The volume of the box is:

V = x×y×h       V = 360 in³

Then  V = x × ( x + 3 ) × 4     ( by substitution of y as a function of x )

360 = x × ( x + 3 ) × 4

Simplifying by 4

90 =  x × ( x + 3 )

90 = x² + 3x

We got a second degree equation, solving for x

x² + 3×x - 90 = 0

x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2   ⇒   x₁,₂ = ( - 3 ± 19,21 )/2

x₁   ⇒  is a negative value    x = - 11,1  so we dismiss such solution

x₂  = 16.21/2

x₂  =  8.1 in

rounding to the nearest integer number we get the value for the length f the box

x₂ = 8 in        ⇒ x = 8 in

Note: In Brainly.com in search bar ask for cube dimensions

If the length and width of a rectangle are tripled, the area of that rectangle will increase by what percentage? A) 9% B) 90% C) 450% D) 900%

Answers

X*Y

3X*3Y =9XY

9XY/XY = 9
9*100%= 900%

-7 + 4m + 10 = 15 - 2m

what is m?

Answers

ANSWER:
m=2

work shown:

8(x^2+2x-5)-3(2x^2-4x+3)
with shown work please

Answers

Answer: 2x^2 + 28x - 49

Explanation:
Distribute 8 from the parentheses:
8x^2+16x-40-6x^2+12x-9
Collect like term : 2x^2, 28x, 49

Solution: 2x^2 + 28x - 49
8(x²+2x-5)-3(2x²-4x+3)
=8x²+16x-40-6x²+12x-9
=2x²+28x-49

Hope my answer helped u :)

I need 17-22 please!!

Answers

Answer:

17. Vertex R

18. line FG

19. line RS

20. no they aren't collinear but they are coplanar

21. yes they are collinear but they aren't coplanar

22. plane HEF, plane RPE and plane EPQ

please help!!! i cant figure it out

Answers

Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Which of the following is not an example of a perfect square? A)9,B)200 ,C)4, D)64

Answers

It's 200

Step-by-step explanation:

200 = 2 × 2² × 5²

Which of the following is an incorrect way to label the line in the diagram below

Answers

i dont see any diagram can you put the diagram

is this the line diagram?

and if it is it's HI the second answer.

because  a line is named by either using two points on the line in capital letters with an arrow on the top or by using a lowercase letter.

Reasoning The midpoint of AB is on the

y-axis, and AB is parallel to the x-axis. Point A

is located in Quadrant III. Which quadrant

contains point B? Explain.

Answers

Answer:

B is in 4th quadrant.

Step-by-step explanation:

If mid point of AB is on x-axis then and A is in 3rd quadrant then B must be on the opposite side of A.Therefore it is in 4th

B is in fourth quadrant when AB is the midpoint on y axis

What is a quadrant with an example?An area enclosed by the x and y axes is known as a quadrant, and a graph has four of them.To clarify, the x and y axes divide the two-dimensional Cartesian plane into four quadrants.Quadrant I is in the upper right corner, while Quadrants II through IV are arranged from counterclockwise to clockwise.The x-axis (the horizontal number line) and the y-axis connect to divide the coordinate plane into four equal pieces in the cartesian system (the vertical number line).Due to the fact that each of these four areas takes up one-fourth of the entire coordinate plane, they are referred to as quadrants.

If the center of AB is on the x-axis

A is in the third quadrant,

let two points ( -2, -2 ) in third quadrant .

then B must be on the side of A that is opposite from A.

B thus comes in fourth.

then points ( 2,-2 ) are in fourth quadrant  .

Learn more about Quadrants here:

brainly.com/question/7196312

#SPJ2

Find the value of x.

Answers

Answer:

x=70

Step-by-step explanation:

c would equal 80 because 80 is on the othwr side and 30 would transfer to the angle of D the you would add 80 and 30 and subtract it by 180 leaving you with 70

what is the square root of 465​

Answers

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

The square root of 465 is √465 = 21.5

you invested 5000 between two accounts paying 3% and 7% annual intrest. If the total intrst earned for the year was $310, how much was invested at each rate?

Answers

Answer:

The total interest of $320 will be the sum of the amount earned in each account.

Step-by-step explanation:

320 = x(0.04)(1) + (5000-x)(0.08)(1)

320 = 0.04x + 400 - 0.08x

-80 = -0.04x

2000 = x

5000 - x = 3000

$2,000 was invested at 4%

$3,000 was invested at 8%

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