A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.

Answer:

[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then explicit formula is

[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]

Answer:

14/0.25=56% of goats are male

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

Add the number of female and male goats (25), then divide the number of male goats (14) by 25 and you get 56%

Answer:

The last one 8512

Step-by-step explanation:

5×10÷5+2168

Answer:

D (0, 2)

General Formulas and Concepts:

Algebra I

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 3/4x + 2

Step 2: Break Function

Identify Parts

Slope m = 3/4

y-intercept b = 2

Answer:

the degree of f(g(h(x))) is 12

Step-by-step explanation: I know you want simple and easy answers and thats what im here for, . :D

Answer:

D. 12

Step-by-step explanation:

Edge 2020

Answer: For this 3rd quarter I'm going to start paying attention in class, stop procrastinate, and also do my hw early so I can have a good grade in this class. The # 1 goal is to have a A or B in this class:)

Step-by-step explanation:

Answer:

The Alps are the youngest mountain range in Europe, having formed approximately 65 million years ago. As well as mountains, the Alps are famous for it's clear Alpine lakes, including the stunning Lake Geneva, Lake Constance and Lake Como.

Step-by-step explanation:

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Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

Answer:

1234

Step-by-step explanation:

Answer:

I would say like terms and addition.

Step-by-step explanation:

Answer: True

True because not all sides have to be equal in any shape except a square.

Answer:

True

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.

Test out the theorem by adding together the side lengths:

3 + 2 > 4

4 + 2 > 3

4 + 3 > 2

Since all of these are greater than the other side length, this statement is true.

Answer:

0.5 kg/week

Step-by-step explanation:

rate of change = (change in weight)/(change in time)

rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)

rate of change = 6 kg / 12 weeks

rate of change = 0.5 kg/week

Answer:a

Step-by-step explanation:

Answer:

2nd answer choice

Step-by-step explanation:

Graph is increasing by 1

Answer:

x + y = 162 and x = 2y - 6

Step-by-step explanation:

Let the total wins be x

Let the total loss be y

If a baseball team's total wins and losses for one season is 162, this can be expressed as;

x + y = 162 ....... 1

If the number of wins is 6 less than 2 times the number of losses, this is expressed as;

2 times the number of losses = 2y

6 less than 2 times the number of losses = 2y - 6

Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;

x = 2y - 6 .... 2

Hence the required system of equation are;

x + y = 162 and x = 2y - 6

Answer:

0 radians or 2π radians

Step-by-step explanation:

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians

0 radians or 2π radians  is the value of arccos(sine (StartFraction pi Over 2 EndFraction)).

Here, we have,

given that,

The term is: arccos (sine (StartFraction pi Over 2 EndFraction)

so, we get,

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians.

To learn more trigonometry click:

brainly.com/question/26719838

#SPJ6

Answer:

B and D

Step-by-step explanation:

One thing is for certain. The final answer will be 1/r^12 or r^(-12)

When written as the given of (r^-4)^3, the powers are multiplied.

The first one is false. There are 4 factors of r^-4 If you get an answer that says it is true, then the question means that r^-4 is 3 equal factors of r^-12

B is true

C: not true. The exponents are multiplied, not added.

D is true

E: not true. This is the same thing as C.

Answer:

[tex]\frac{-5 \pm \sqrt{13} }{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}[/tex]

Step 2: Evaluate

Answer:

x = 28,  y = 23

Step-by-step explanation:

in keeping with working only with the expressions which have the variable 'y'

the 3y angle forms a linear pair with the angle which is corresponding to the 5y-4 angle

therefore, we can say that 5y - 4 = 180 - 3y

solve for 'y':   5y - 4 = 180 - 3y

                      8y = 184

                       y = 23

Substitute to find measure of angle 5y-4:  5(23) - 4 = 111 degrees

Now we know that 2x + 13 has to equal 180 - 111 or 69 degrees

solve for 'x':  2x + 13 = 69

                     2x = 56

                     x = 28

Answer:

d 4x^2 + 24x - 8

Step-by-step explanation:

Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1

                                            = (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)

                                            = 4x² + 24x - 8

a) 4p+2p-3p

=> 6p-3p

=> 3p

b) 9s-5s+2s-s

=> 4s+1s

=> 5s

c) 8t+3r-7t-9r

=>8t-7t-9+3

=> t-6r

Hope it helps!

Answer:

3p , 5s , t - 6r

Step-by-step explanation:

(a)

4p + 2p - 3p ← add the first 2 terms

= 6p - 3p

= 3p

(b)

9s - 5s + 2s - s

= 4s + 2s - s

= 6s - s

= 5s

(c)

8t + 3r - 7t - 9r ← collect like terms

= (8t - 7t) + (3r - 9r)

= t - 6r

Answer:

9.0333

Step-by-step explanation:

Given the mixed number:

[tex]9\dfrac{1}{30}[/tex]

To find:

The number to four decimal places.

Solution:

First of all, let us learn the method converting the mixed fraction number to a fractional number.

If a mixed fraction is of the form:

[tex]a\dfrac{b}{c}[/tex]

Then first, we will multiply [tex]a[/tex] with [tex]c[/tex] and then add [tex]b[/tex] to get the numerator of the simple fraction.

Denominator will be the same i.e. [tex]c[/tex].

Therefore

[tex]9\dfrac{1}{30}[/tex]

can be written as:

Numerator = [tex]9\times 30 + 1[/tex] = 271

Denominator will be the same i.e. 30

Simple fraction equivalent will be:

[tex]\dfrac{271}{30}[/tex]

And up to, 4 decimal points, the number can be written as:

9.0333

Answer:

Step-by-step explanation:

0,3,6,9,12,15

0,4,8,12,16,20

for 9 parts yellow you'll need 12 parts blue

for 20 parts blue you'll need 15 parts yellow

Answer:

Yes but not vedanta publication book

Answer: Natasha ran further

Step-by-step explanation:

1. Simplify both fractions into a common denominator:

25/100 and 40/100

2. Compare:

40/100 > 25/100

3. Answer:

Natsha ran further

Have a nice day! :D

Answer:

Natasha ran farther

Step-by-step explanation:

This is the answer because:

1) In problems like this, we have to find the common denominator and compare both of the fractions:

[tex]\frac{4}{10} = \frac{4 times10}{10 times 10} = \frac{40}{100}[/tex]

[tex]\frac{40}{100}[/tex] > [tex]\frac{25}{100}[/tex] = 40/100 is greater than 25/100.

Therefore, the answer is Natasha.

Hope this helps! :D

Answer:

y=2

Step-by-step explanation: