The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the length of the shortest side of the triangle

I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".

We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.

The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)

Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.

9*(2/3)^(n-1) = 3

(2/3)^(n-1) = 3/9

(2/3)^(n-1) = 1/3

log[ (2/3)^(n-1) ] = log(1/3)

(n-1)*log(2/3) = log(1/3)

(n-1)*(-0.17609) = -0.47712

n-1 = (-0.47712)/(-0.17609)

n-1 = 2.7095235

n = 2.7095235+1

n = 3.7095235

Unfortunately we don't get a whole number. We can see that the terms of the sequence are:

9, 6, 4, 2.667

Each term is found by multiplying 2/3 by the previous term.

We don't land exactly on "3". The closest we get is 2.667 approximately.

So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.

Answer:

y= -4/3 x + 4

Step-by-step explanation:

i guess

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

Answer:

[tex]7.4km[/tex]

Step-by-step explanation:

[tex]24.6km - 17km \\ = 7.4km[/tex]

hope this helps you.

Answer:

4

Step-by-step explanation:

-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8

Answer:

A: 18

Step-by-step explanation:

1. 4(5) - 2

2. 20 - 2

3. 18

Answer: 6 because it more than thd base and less than the other triangles leg

Step-by-step explanation:

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2 = y^2 + 25[/tex]

[tex]\frac{y}{11} = \frac{5}{y}[/tex]  

[tex]y^2 = 55[/tex]

[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]

Answer:

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

the answer is on the photo

Answer:

7/10

(-4×-7)/(5×8)

=28/40

=7/10

Answer:

336

Step-by-step explanation:

2x7=14, so 200-14=186, then 186+150=336

Answer:

6[tex]\sqrt{34}[/tex]

Step-by-step explanation:

[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]

Answer:

24 cm

Step-by-step explanation:

6*2+3*4=?

12+12

24 cm

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

Answer:

The answer in (-1,-1) because it goes down by x-2 and y-2

Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

Answer:

y = 3x - 27

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (6, - 9) into the partial equation

- 9 = 18 + c ⇒ c = - 9 - 18 = - 27

y = 3x - 27 ← equation of line

Answer:

negative

Step-by-step explanation:

Let,

x1 = 0

x2 = 1

y1 = 50

y2 = 44

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 44 - 50 ) / ( 1 - 0 )

= - 6 / 1

= - 6

- 6 is a negative number.

So, the slope is negative.

Answer:

5=1

4=5

i don't really know for the third one sorry but it's more than 11

Step-by-step explanation:

Answer:

Current selling price = Rs 20 × 120 %

= Rs 24

Cost price should be [100 ÷ 125 ] × 24

= Rs 19.20

Answer:

Step-by-step explanation:

Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.

Answer:

[tex]1.86 \div 2 = 0.93[/tex]

Step-by-step explanation:

The correct form of the question is:

Complete the equations below.

[tex]1.86 \div 2 =[/tex]

Required

Solve

Start from left to right

[tex]1 \div 2 = ??[/tex] --- this will give a fraction.

So, we append the next digit

[tex]1.8 \div 2 = 0.9[/tex]

Next:

[tex]0.06 \div 2 = 0.03[/tex]

Bring the results together:

[tex]1.86 \div 2 = 0.9+ 0.03[/tex]

[tex]1.86 \div 2 = 0.93[/tex]

Answer:

x^5+5x^4+10x³+10x²+5x+1

Step-by-step explanation:

Answer:

A=35 degrees, B=55 degrees, C=110 degrees

Step-by-step explanation:

The 35 degree given angle is vertical angles with A, so they are congruent

The sum of angles in a triangle is 180, and we already have 2 angles (35 and 90) so subtract those and you get 55

angle c and the other given angle (70 degrees) are supplementary so subract 70 from 180

Answer:

1) b) r = 7

2) e) 82

Step-by-step explanation:

Progressão aritmética:

Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.

O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:

[tex]a_n = a_1 + (n-1)r[/tex]

Tomando o m-ésimo termo como referência, tem-se que:

[tex]a_n = a_m + (n-m)r[/tex]

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:

[tex]a_5 = 40, a_9 = 68[/tex]. Então:

[tex]a_n = a_m + (n-m)r[/tex]

[tex]68 = 40 + 4r[/tex]

[tex]4r = 28[/tex]

[tex]r = \frac{28}{4} = 7[/tex]

Então a resposta correta é dada pela alternativa b.

2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:

O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.

[tex]a_n = a_1 + (n-1)r[/tex]

[tex]107 = 72 + 7r[/tex]

[tex]7r = 35[/tex]

[tex]r = \frac{35}{7} = 5[/tex]

Então, o terceiro termo é:

[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]

Logo, a resposta correta é dada pela alternativa e.

x=30°

Answer:

Cos x°=adjacent/hypotenuse

Cos x°=45/52

x°=Cos-¹(45/52)

x°=30°

the answer should be -12 if I did the math right.

Step-by-step explanation:

3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)

3+10-25(Square of 5 is 25)

-12(subtracting the above equation 12 comes)