A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Presuming that the height the ball bounces is always the same fraction of the height reached on the previous bounce, what is that fraction?

Answers

Answer 1

Answer: The required fraction = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let the required fraction = [tex]\dfrac{p}{q}[/tex]

Given: Initial height = 192 inches

Height of ball after second bounce = [tex]\dfrac{p}{q}\times192[/tex]

Height of ball after third bounce = [tex]\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}[/tex]

After the third bounce it is 3 inches off the ground.

So,

[tex](\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}[/tex]

Hence, The required fraction = [tex]\dfrac18[/tex]


Related Questions

In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24

Answers

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Please help me to solve
✓ C
✓ D
✓ E​

Answers

Answer:

1)Mononaimal polynomial

2)Mononomial polynomial

3)Bionomial polynomial

What is the value of x? Round to the nearest tenths place.

Answers

Answer:

39^2-15^2=1296

/

put this number in a square root and it will give you=36

×=36

Step-by-step explanation:

hypotenuse minus short side it gives another short side

It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.

150+6n+5n
Evaluate the expression to find the cost for a party of 15 people

Answers

Answer:

$315

Step-by-step explanation:

skracanie ułamków

224/100 =
308/100 =
125/1000=
444\1000 =

Answers

Answer:

224/100 = 2 24/100

= 2 6/25

308/100 = 3 8/100

= 3 2/25

125/1000 = ⅛

444/1000 = 111/250

H+ ions increase in concentration at lower pH values. Calculate how many more H+ ions there are in a solution at a pH = 2 than in a solution at a pH = 6. Find the concentration of H+ ions at a pH = 2 and at a pH = 6 in Table B. Then divide the concentration of H+ ions at a
pH = 2 by the of H+ ions at a pH = 6. Record your answer in Table C.

What is the concentration of H+ ions at a pH = 2?

mol/L

What is the concentration of H+ ions at a pH = 6?

mol/L

How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?

Answers

Answer:

What is the concentration of H+ ions at a pH = 2?

⇒ 0.01 mol/L

What is the concentration of H+ ions at a pH = 6?

⇒ 0.000001 mol/L

How many more H+ ions are there in a solution at a

pH = 2 than in a solution at a pH = 6?

⇒ 10,000

Step-by-step explanation:

Answer:

What is the concentration of H+ ions at a pH = 2?

0.01

 

What is the concentration of H+ ions at a pH = 6?

0.000001

 

How many more H+ ions are there in a solution at a

pH = 2 than in a solution at a pH = 6?

10,000

Step-by-step explanation:

ORDER
ORDER OF OPERATIONS
21 divided by 3 +4

Answers

Answer:

11

Step-by-step explanation:

21/3+4

7+4

11

.......

Find the surface
area of 11mm 8mm 22mm

Answers

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

Step-by-step explanation:

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)
2 9.00
5 22.50
7 31.50

Answers

there’s no question....

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

To learn more about proportion click :

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The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.

Answers

Answer:

8x units

Step-by-step explanation:

A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.

The Area of a Rectangle is calculated with the formula

Length × Width ( Height)

Area = 56x²y square units

Height = 7xy units

Length =Area of the rectangle/Height of the rectangle

= 56x²y square units/7xy units

= 8x units

An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?

Answers

Answer:

possibly $1

Step-by-step explanation:

don’t know how to explain but I hope this helps

Answer:

4454

Step-by-step explanation:

Simplify 4х+ 2-
+8-12
О
3х - 2
3х + 4
о
5х – 4
5х + 4


Can someone please help!!! I really need the answer

Answers

Answer:

3x - 2

Step-by-step explanation:

[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]

I need help on this pls help meh

Answers

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

pls help and explain I will mark you brainliest btw. :)​

Answers

Step-by-step explanation:

count the number of full boxes

count yhe number of the unfull boxes

then add them together

divide the answer by two

Find the area.
4 cm
6 cm
6 cm
square centimeters

Answers

Answer:

96cm

Step-by-step explanation:

4cm x 4cm x 6cm = 96scm

Please help


1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the

viewing platform as 37º. How far up the tower is the viewing platform?

Answers

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

Please help me I don’t understand this stuff lol
A) 5/3
B) 5/4
C)10/3
D)4/3

Answers

Answer:

The answer is 4/3. I hope it's corect and this helps.

Step-by-step explanation:

Answer:

I dunno man

Step-by-step explanation:

HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.

Answers

Answer:

3.8 quarts

Step-by-step explanation:

triangle ABC is similar to triangle EHG , find the measure of angle EHG .

Answers

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?

Answers

Answer:

Step-by-step explanation:

100(14(6))/(3(7))

100(84/21)

100(4)

400%


Which of the following numbers makes the inequality -2 A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is

Answers

Answer:

opposite word of disperse

PLEASE HELP AND SHOW YOUR WORK I WILL MARK YOU BRAINLIESt

Answers

Step-by-step explanation:

if 9 boxes is 42.75 then 1 box is 4.75 dollars

so 13 boxes would be 13X3.75 which is 61.75$

if 9b=$42.75

1b=x

9bx=$42.75b

x=$42.75b÷9b

x=$4.75

Which of the ratios below is equivalent to 8:5?

Answers

Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

slove this and get brainliest!!
please be sure of your answer!!!!!!!​

Answers

Answer:

Option A

37°

Step-by-step explanation:

4x+ 2 = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

Answer:

(4x+2)°=150°[by vertical opposite angles]

4x=150-2

4x=148

x=148/4

x=37

Order these angels from least to greatest
13 and 14

Answers

13. angle N, angle R, angle Q

14. angle G, angle H, angle J

Explanation: The shortest side is always across from the smallest angle and the longest side is always across from the largest angle. For instance, since RQ is the shortest side, angles N is the smallest angle, and since NR is the longest side, angle Q is the longest angle. Because of this, the order of angles from least to greatest is angle N, angle R, and angle Q.

The solution is

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

a)

Let the first triangle be ΔNQR

QR = 17 m

NQ = 21 m

NR = 24 m

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to QR = Angle N

Angle N is the smallest angle in ΔNQR

And , Angle opposite to NR = Angle Q

Angle Q is the largest angle in ΔNQR

Therefore , Angle N < Angle R < Angle Q

b)

Let the second triangle be ΔGHJ

HJ = 6 in

GJ = 7 in

GH = 10 in

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to HJ = Angle G

Angle G is the smallest angle

Angle opposite to GH = Angle J

Angle J is the largest angle

Therefore , Angle G < Angle H < Angle J

Hence , the angles are in the order

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

To learn more about triangles click :

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What is the missing reason in steps 7 and 8 of the proof?



Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =

Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle

Answers

Answer:

Step-by-step explanation:

The answer is option B) def of sine in right triangle

A square has a triangular hole in it. What is the area of the figure? 100 in2 92.5 in2 85 in2 70 in2

Answers

Answer:

how big is the hole ?

Step-by-step explanation:

i think the answer is B tho

pls give brainliest

Answer:

?

Step-by-step explanation:

Bethany bought a box of markers. She gave 6 to her friend. If Bethany now has 52 markers, how many markers were in the box she bought?

Answers

Answer:

58 markers

Step-by-step explanation:

52 + 6 = 58

Answer:

58 markers

Step-by-step explanation:

x-6=52 Set up the problem. "x" represents the number of markers.

 +6 +6 Add 6 to both sides to isolate x

x    =58

A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?

Answers

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer: 60 gallons of diesel fuel

Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles

PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)

Answers

Answer:

Pretty sure it's B!

Step-by-step explanation:

Over the Y axis- (2,1)

To the left two times= (0,1)

Hope this helped!

Answer:

(0,1)

Step-by-step explanation:

Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)

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