The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.

Answer:1.2

Step-by-step explanation:

The height of the 6th bounce of the ball will be 1.2 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

[tex]T_{n} =ar^{n-1}[/tex]

Where,

[tex]T_{n}[/tex] is the nth term.

r is the common ratio

a is the first term

According to the given question.

During the first bounce, height of the ball from the ground, a = 6 feet

And, the each successive bounce is 72% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

= 72% of 6

= [tex]\frac{72}{100} (6)[/tex]

= 0.72 × 6

= 4.32 feet

During the third bounce, the height of ball from the ground

= 72% of 4.32

= [tex]\frac{72}{100} (4.32)[/tex]

= 3.11 feet

Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.72

Therefore,

The sixth term of the geometric sequence is given by

[tex]T_{6} = 6(0.72)^{6-1}[/tex]

[tex]T_{6} =6(0.72)^{5}[/tex]

[tex]T_{6} = 6 (0.193)[/tex]

[tex]T_{6} = 1.16 feet[/tex]

[tex]T_{6} = 1.2[/tex] feet

Hence, the height of the 6th bounce of the ball will be 1.2 feet.

Find out more information about geometric sequence here:

https://brainly.com/question/11266123

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Answer: I. only

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Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

Answer:

Hope this helps :O

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

this is what I did. 348×.6

60% of 580 is 348 is the answer you're looking for

If you divide .6 by 348 you get 580.

To check your answer, you can do .4 (40%) multiplied by 580 to get 232

232+348=250 which is 100%

Answer:

She should order 10 orders of the 4-pizza deal from Peat's Pizza

Step-by-step explanation:

Peat's Pizza deal:

4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.

Pizza Palace deal:

10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.

Hope this helps :D

Answer:

S= 1.301

Step-by-step explanation:

5.313-4.012=S

Answer:

D.

Step-by-step explanation:

D is the best answer since you didn't provide a B. It's the one that makes the most sense.

Answer: I'm pretty sure it's C

Step-by-step explanation:

Most interest income is taxable as ordinary income on your federal tax return

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

Answer:

Both Question (bottom right corner)

Step-by-step explanation:

Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.

Both these examples how data that varies from day to day.

Hope this helps!

Answer:

[tex]Company: 43 + 24.75h[/tex]

Step-by-step explanation:

Given

Hamda:

[tex]Project\ Fee = 25[/tex]

[tex]Hourly\ Rate = 10.50[/tex]

Layla:

[tex]Project\ Fee = 18[/tex]

[tex]Hourly\ Rate = 14.25[/tex]

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]

For Hamda, we have:

[tex]Hamda : 25 + 10.50 * h[/tex]

[tex]Hamda : 25 + 10.50 h[/tex]

For Layla, we have:

[tex]Layla: 18 + 14.25 * h[/tex]

[tex]Layla: 18 + 14.25 h[/tex]

For h hours, the company will pay:

[tex]Company: Hamda + Layla[/tex]

[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]

Collect like terms

[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]

[tex]Company: 43 + 24.75h[/tex]

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

Answer:

A, C

Step-by-step explanation:

6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2

dividing 6 by 1/2 is the same as multiplying 6 by 2

Answer:

These are exactly 3 isosceles triangles

Step-by-step explanation:

Look at A, B, C.

There are exactly three isosceles triangles.

A, B, and D are isosceles triangles.

Each one has two congruent sides.

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Answer:

3.4

Step-by-step explanation:

Answer:

f(8) = -9

Step-by-step explanation:

Substitute 8 in for x.

f(8) = -2(8) + 7

f(8) = -16 + 7

f(8) = -9

Answer:

The correct answer would be bill

Step-by-step explanation:

Hope that's right! Hope it helps

Chu

[tex]\frac{x}{3}+4=7[/tex]    (subtract 4 from both sides (4-4 and 4-7)

[tex]\frac{x}{3}=3\\[/tex]            (multiply both sides by 3)

x=9

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

$4x-5$ is less than 25$

Answer:

Remaining balance = AED 13.75

Step-by-step explanation:

Given that:

Amount of gift card = AED 20

Amount left after buying 3 songs = AED 16.25

Cost of 3 songs = 20 - 16.25 = AED 3.75

Cost per song = [tex]\frac{3.75}{3}[/tex]

Cost per song = AED 1.25

Cost of 5 songs = 5(1.25) = AED 6.25

Remaining balance = 20 - 6.25 = AED 13.75

Hence,

Remaining balance = AED 13.75

Answer: Exact Form:  x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

3(12x - 24) = 16 (use the distributive property)

36x - 72 = 16  (add 72 to both sides to get the x-term alone)

36x = 88 (divide both sides by 36 to isolate x)

x = 2.4 (the four is repeating. that's the exact answer.)

I would say the answer is A because 2.4 is close to 2 than any of the other answers.

Step-by-step explanation:

I hope this helps :))

Answer:

A rotation followed by a translation

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Answer:

B = 31°

a = 18.9

b = 11.3

Step-by-step explanation:

✔️B = 180° - (90° + 59°) (sum of triangle)

B = 31°

✔️Use trigonometric ratio to find a:

Reference angle = 59°

Side opposite to reference angle = a

Hypotenuse = 22

Thus,

Sin 59 = a/22

Multiply both sides by 22

22*sin 59 = a

18.9 = a

a = 18.9 (nearest tenth)

✔️Use trigonometric ratio to find a:

Reference angle = B = 31°

Side opposite to reference angle = b

Hypotenuse = 22

Thus,

Sin 31 = b/22

Multiply both sides by 22

22*sin 31 = b

11.3 = b

b = 11.3 (nearest tenth)