A tree is currently 10 feet tall and grows 2 feet per year. Write an arithmetic sequence in explicit formula that can model this scenario.

Answer:

s

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. given

2. A bisected angle forms 2 congruent angles

3.given

4.reflexive propriety

5. ASA theorem

Answer:

Step-by-step explanation:

2). Definition of bisector.

4). Reflexive property

5). ASA postulate of congruency.

Answer:

Unit Rate of Machine A = 2.5 square feet per hour

Unit Rate of Machine B = 3.333 square feet per hour.

The unit rate of Machine B is greater than unit rate of machine A.

Step-by-step explanation:

The unit rates for both machines need to be calculated first.

The unit rate will be calculated as:

[tex]Unit\ rate = \frac{Area\ covered}{Time}[/tex]

For Machine A:

Area Covered = 5/8

Time = 1/4

The unit rate will be:

[tex]U_A = \frac{\frac{5}{8} }{\frac{1}{4} } \\Using\ rule => \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a}{b} * \frac{d}{c}\\=\frac{5}{8} * 4 \\= \frac{5}{2} = 2.5\ square\ feet\ per\ hour[/tex]

For Machine B:

Area Covered = 2/3

Time = 1/5

[tex]U_B = \frac{\frac{2}{3}}{\frac{1}{5}}\\= \frac{2}{3} * \frac{5}\\= \frac{10}{3}\\= 3.33...\ square\ feet\ per\ hour[/tex]

As it can be seen that unit rate for Machine B is greater than Unit Rate of Machine A.

Hence,

Unit Rate of Machine A = 2.5 square feet per hour

Unit Rate of Machine B = 3.333 square feet per hour.

The unit rate of Machine B is greater than unit rate of machine A.

Answer:

34

Step-by-step explanation:

1+33=34

Answer:

a=-(c/b)/d

Step-by-step explanation:

a+c/b=d

d-a=c/b

-a=(c/b)/d

a=-(c/b)/d

Answer:2

Step-by-step explanation:

Answer: It is .571

Step-by-step explanation:

Answer:0.57

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

Answer: tan(2θ)−sec2(θ)−sec(θ)

Step-by-step explanation: Simplify Each Term

Answer:

1, 3, 6 = 61°

2, 4, 5, 7 = 119°

Answer:

m∠1 = 61°

m∠2 = 119°

m∠3 = 61°

m∠4 = 119°

m∠5 = 119°

m∠6 = 61°

m∠7 = 119°

Step-by-step explanation:

Ah transversals, a simple subject which was taught to be so complicated.

Basically its a complicated way of demonstrating parallelism and intersection of two straight lines.

m∠6 is equal to angle 61 due to a rule of vertical angle; basically the mirroring properties of two intersecting lines. If you'd like this subject broken down further leave me a comment.

Corresponding angles are ∠2 and ∠5, and ∠3 and 6∠. It's easier to visualize them on their own. To help with this I'll provide a cleaned-up visual.

They are equal to each other just as 61 is equal to m∠1

the 61 and the m∠5 will add up to 180 because straight lines are straight and 180 degrees.

Hope this helps

Answer:

39

Step-by-step explanation:

If you multiply 4×2 you get the answer 8 when you add 8 you get the answer 16 if you add 23 you get the answer 39 your problem should look like this...

4×2+8+23=39

Step-by-step explanation:

A decimal is a number that represents a fractional part of a whole. For example, the decimal 0.25 represents 25/100. Numbers with decimals are not integers because an integer is defined as a whole number with no fractional part.

Answer:

x = 3.5

y = -2x + 4

y = ?

y = -2(3.5) + 4

y = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

[tex]Janet:\\9ft \: in \: 15 \:minutes[/tex]

[tex]\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36[/tex]

Janet can plant 36 feet of carrots in one hour

[tex]Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34[/tex]

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly

Answer:

The answer is -13

Step-by-step explanation:

Answer:

=-19

Step-by-step explanation:

5x-3y-z

if x=-2, y=2, and z=-3

Putting value of x,y,z in equation

5x-3y-z= 5X-2-3X2-3=

=-10-6-3 = -19 answer

Answer:

which one?

Step-by-step explanation:

Answer:

q9:20cm q10:17 dice can fit in and you have 4cm3 space remaining

Step-by-step explanation:

1L= 1000cm3

base=50cm2

base=5x10

1000/50=20cm

height =20 cm

5x10x20=1000cm3=1L

Question 10:dice=2x2x2=8cm3

box=5x4x7=140cm3

answer=140/8

answer=17.5 meaning we can fit 17 full dice into the box

The space we have left is 4cm3

Answer:

Step-by-step explanation:

Step one:

we are required to find the slope of the given data points

A(4,6) B(5,8)

hence the x and y values correspond to

x1=4

y1=6

x2=5

y2=8

Step two:

Required is the slope which is

slope= y2-y1/x2-x1

Slope=8-6/5-4

Slope= 2/1

Hence the slope of the ordered pair is 2

Answer: She bought 6 zebra fish and 5 neon tetras

Step-by-step explanation: you add up 1.85 6 times to get 11.10 then you add 2.10 till you get your total 21.60$

Answer:

i tink 88 percent

Answer:

Step-by-step explanation:

The question is a little unclear in this statement.

10% of the number is greater than 1 but less than 7 1/3 . Do you mean 7 1/3%

List all the perfect squares between 1 and 100

1     4     9    16    25     36     49    64    81   and 100

The number is not a multiple of 6 which lets out 36

The number is greater than one because 10% of the number is greater than 1.

7.33333% = 7.333 / 100 * N

That lets out 100 which 7.3333% = 7.3333

So what do we have left?

4 9 16 25 49 64 81

That's as far as I can get you. Perhaps if you clarify what is unclear, we might be able to take it further. Leave a statement, and I will revise my answer.

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

Answer:

[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]

Step-by-step explanation:

A diagonal is defined in geometry as a line connecting to two non adjacent  vertices.

Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices

Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;

Total possible diagonals = n × (n - 3)

However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;

[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]

Answer:

Slope= 2/3

Step-by-step explanation:

Here are our coordinates:

x1= 20

y1= 60

x2= 50

y2= 80

Now we use the slope formula-- y2-y1/x2-x1.

Now we plug in the numbers!

80-60= 20

                     =20/30

50-20= 30

Now we simplify: 20/10= 2

                              30/10=3

Thus your answer: 2/3

Answer: The eldest, Colin, is 41 years old

Step-by-step explanation:

Answer:

$100.00

Step-by-step explanation:

1 tablecloth=$20 each

$20.00$=x5=$100.00

Since there is 5 tablecloths multiply $20.00 and 5.

Answer: 40,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation:

Step one:

The original price of the video game= $28.5

Cash at hand= $22

Discount= 30%

Tax= 10%

1. Pat's strategy

Amount discounted

=30/100*28.5

=0.3*28.5

=$8.55

28.5-8.55

=$19.95

Amount of tax added

=10/100*28.5

=0.01*28.5

=2.85

=17.15+2.85

=$22.8

Hence going by Pat's strategy, the total amount to be paid is

=$22.8

2. Henri's strategy

=70/100*28.5

=0.70*28.5

=$19.95

110% of $28.5

=110/100*28.5

=1.1*28.5

=$31.35

the tax is

31.35-28.5

=$2.85

i. Hence by Henri's strategy, the sales price with tax is

=19.95+2.85

=$22.8

ii. Yes Pat's strategy will compute the correct total,

   30% of $28.5 is $8.55 which is the amount to be deducted as a discount

   10% of $28.5 is $2.85 which is the amount to be added as tax

    Hence the total amount to be paid is $22.8

iii  Yes Henri's strategy also gave the correct total

  70% of 28.5 is $19.95

  110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5

   = 31.35, substracting the original price we got the tax added

    which is $2.85

iv. No, they both don't have enough money to purchase the video game,

  because they only have $22and the game is to be sold for $22.8