Mathematics High School

The vertical distance of a falling ball is directly proportional min to the square of the time of the fall. The ball falls 80 m 4 seconds.

(a) Find the vertical distance fallen in 6 seconds.

(b) If the ball is dropped from a height of 240 m, find the time it takes to hit the ground.

Answers

Answer 1

Answer:

180 m , ≈ 6.9 seconds

Step-by-step explanation:

let vertical distance be represented by d and time t

given d is directly proportional to t² , then the equation relating them is

d = kt² ← k is the constant of proportion

to find k use the condition , the ball falls 80 m in 4 seconds , then

80 = k × 4² = 16k  ( divide both sides by 16 )

5 = k

d = 5t² ← equation of proportion

(a)

when t = 6

d = 5 × 6² = 5 × 36 = 180 m

(b)

when d = 240

240 = 5t² ( divide both sides by 5 )

48 = t² ( take square root of both sides )

[tex]\sqrt{48}[/tex] = t , that is

t ≈ 6.9 seconds ( to the nearest tenth )

Related Questions

Question: 1 out of 10
~!¡! Volume !¡!~

Answers

Answer:

a) 96

Step-by-step explanation:

2 + 2 = 4

4 * 24 = 96

Which of the following is a solution for

f + 8 < 10

Answers

Answer: there are no answer choices but f > 2

Step-by-step explanation:

In the year 2007, a company made $4 million in profit. For each consecutive year after that, their profit increased by 14%. How much would the company's profit be in the year 2011, to the nearest tenth of a million dollars

Answers

Answer:

$6.76 million

Step-by-step explanation:

The computation of the profit of the year in 2011 is shown below:

Given that

In year 2007, it made $4 million profits

And it would be increased by 14% till 2011

So,

= $4 million × (1 + 0.14)^4

= $4 million × 1.68896016

= $6.76 million

is 1/2 ÷ 2 is greater than 1 or less than 1.

Answers

Answer:

0.25

Step-by-step explanation:

1/2÷ 2 is less than 1

Answer:

Greater

Step-by-step explanation:

It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole

Justin wants to place one of his 4 signed hockey sticks on his shelf. The length of the shelf is exactly 1.05 meters. His 4 hockey sticks and their lengths are shown below.

Answers

Answer:

Stick 2

Step-by-step explanation:

Given

[tex]L = 1.05m[/tex] --- Shelf length

Missing information from the question are:

[tex]Stick\ 1 = 1.4m[/tex]

[tex]Stick\ 2 = 1.041m[/tex]

[tex]Stick\ 3 = 1.14m[/tex]

[tex]Stick\ 4 = 1.104m[/tex]

See attachment

Required

Which stick best fits the shelf?

The following observations are to be noted:

The length of stick 1 of 1.4m is greater than the length of the shelfThe length of stick 3 of 1.14m is greater than the length of the shelfThe length of stick 4 of 1.104m is greater than the length of the shelf

Only stick 2 (of length 1.041m) has a smaller length when compared to the length of the shelf.

Hence, Justin should choose stick 2

PLEASE HEEEEELP IS URGENTT​

Answers

Answer:

75.

Step-by-step explanation:

17−14−8(8−17)

=75

0.25 (771-20q) simplified expression

Answers

Answer:

191.5

Step-by-step explanation:

Answer:

191.5

Step-by-step explanation:

Amelia bought 40 plain black T-shirts for $4 each.She painted designs on them and then sold each T-shirt for 7.50.How much profit did Amelia make selling her fancy T-shirts?

Answers

I hope this helpfull dor you...But if this not helpfull,im so sorry...

GIVING BRAINLIEST IF CORRECT! Megan drew a scale drawing of a house and its lot. She used the scale 1 centimeter : 7 meters. The actual length of the back patio is 28 meters. How long is the patio in the drawing?

Answers

Answer:

What I believe it may be is 4 centimeters.

Step-by-step explanation:

One centimeter = 7 meters.

7 x 4 equals 28.

Comment:

I hope this helped you.

If this is the wrong answer, I am sorry.

   

Find the slope of the line between the following points:
(27, 11) and (11, 3)
Record your answer in simplest form.

Answers

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (27, 11) and (x₂, y₂ ) = (11, 3)

m = [tex]\frac{3-11}{11-27}[/tex] = [tex]\frac{-8}{-16}[/tex] = [tex]\frac{1}{2}[/tex]

the slope equals 1/2.

Which angle is a VERTICAL angle to∠8?

Answers

Step-by-step explanation:

alternate angle is vertical to it

HELP ASAP!!!!!!!!

Find the cite of each variabile

Answers

tan = opp/adj

x = 13(tan 45)

x = 13

//

a² + b² = c²

13² + 13² = 338²

square root of 338 is not a rational number so turn into mixed radical.

//

[tex]x \: = 13[/tex]

[tex]y = 13 \sqrt{2} [/tex]

Use the algebra tiles to help you solve the equation 4x -5=3

Answers

Answer:

x=2

Step-by-step explanation:

1. 12x – 8x + 4 = 20
2. 9w + 4w – 5w + w = -9

Answers

Answer:

the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

vertical angles

Step-by-step explanation:

They don't share a common side, so they are not adjacent!

Hope that helps!

3.3 - 3.7n - 2n + 8 nnnnnnnnnnnnnnnnnn

Answers

Answer:

-5.7n + 11.3

Step-by-step explanation:

3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3

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Please answer I need it asap!!!

Answers

Answer:

Use ratios of corresponding sides:

EH/FH = FH/GHFH² = EH*GH  

4.

FH² = 6*3 ⇒ FH = √18 = 3√2

5.

GH = FH²/EH = 6²/12 = 3

6.

FH = √(19-15)*15 = √60 = 2√15

If there was a point R(-2, 4) and it was dilated to R'(-8, 16), what was the scale factor? *

Answers

Answer:

4

Step-by-step explanation:

The temperature outside changed from 64°F to 43°F over a period of seven days. If the temperature changed by the same amount each day, what was the daily temperature change?

Answers

Answer: -3°F

Step-by-step explanation:

From the question, we are informed that the temperature outside changed from 64°F to 43°F over a period of seven days. The total change will be:

= 43°F - 64°F

= -21°F

If the temperature changed by the same amount each day, the daily temperature change will now be:

= -21°F / 7

= -3°F

The temperature decreased by 3°F daily

what is these in simplest form
a) 2a + 4 + 5a + 8 =
b) -2b – 7 + 3b – 8 =

Answers

Answer:

a ) 7a + 12

b) b - 15

Step-by-step explanation:

a)2a+5a +8+8

= 7a + 12

b) b - 7 - 8

= b-15

Please help me I will give brainlyiest or how ever u spell it

Answers

Answer:

2

Step-by-step explanation:

the answer is 2

Is 70/100 a bad score .........

Answers

Answer:

it will be a c I don't know if it's good

Test Scores. You are taking a math test in which items in part A are worth 10 points and items in part B are worth 15 points. It takes 3 min. to complete each item of part A and 6 min. to complete each item in part B. The total time allowed is 60 min. and you do exactly 16 questions. How many questions of each part did you complete? Assuming that all your answers were correct, after all you had a GREAT Math Teacher, what was your score?

Answers

Answer:

465 is the total points he got and he solved 14 in part A and 2 in part B

hope it helps you

mark me as brainlist

thank you

I am in need of help

Answers

Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.

help me with this answer pls!!

Answers

Answer:

1.090909......

Step-by-step explanation:

Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....

I hope this helps!

A seabird is 28 meters above the surface of the ocean. What is its elevation?

Answers

Answer:

The elevation is 28 meters.

Step-by-step explanation:

This is pretty obvious because it says that the bird is above the ocean, not below. So, it is positive.

Hope this helps! :)


What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST

Answers

The measure of arc FG could be 108
The correct answer is 103 degrees (180-77) Since there is a line exactly in the half of the circle and we know that one portion is 77° so the remaining portion must be the difference of a half circle which is 180° minus the 77°.

Part A: find the value for x:
Part B: what is the value of angle A?

Answers

Answer:

part A:

If ABC is a triangle then,

2x+4+2x-9+x=180degree

or, 5x-5=180degree

or, 5x=(180+5)degree

or, 5x= 185degree

or, x=185÷5 = 37degree ans.

PartB

now put the value of x in angle A

i.e angle A = 2x-9

or, angle A= (2×37) - 9

or, angle A= 74 - 9

therefore, angle A= 65degree ans.

if you answer correctly I will give you 5 stars a thank you AND brainliest

Answers

Answer:

the answer is an acute triangle

Step-by-step explanation:

it is an acute triangle because all angles are less than 90° but all the angles added together are equal to 180°

Answer:

It is a scalene triangle.

What time does the clock show?
12
1
11
10
3 -
8
4.
1
7 6
5

Answers

Answer:

6:59

Step-by-step explanation:

Hour : Minute

Small hand is hour hand, large hand is minute hand. Minutes go by the small tic marks, where the hours go off of the numbers.

7:59 I could be wrong so I’m sorry! Have a great day.
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