Mathematics College

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Suppose That For Each Foot Of Land Along A Street, Theannual Tax Is $12 Per Foot. The Diagram Below Shows

Answers

Answer 1

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

From the question, we have the following parameters that can be used in our computation:

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

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Related Questions

-2.3x + 9.3x = 19.6
Show your work.

Answers

Answer:

here you go !!

hope his helps

Find the slope of the line that passes through all of the points
on the table.
X
2
7
12
17
y
2
-3
-8
-13


Only need the answer

Answers

Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify

Evaluate each expression if w = 2, x = 3, y = 5, and z = 6.
1. 2w
2. y + 5
4. x+ w
7. y²
5. 3+ 4z
8. y - x
Fvaluate each evnreccion if m
n
3.9-2
6. 6y-5
Nov 30

Answers

1. 4
2. 10
4. 5
7. 25
5. 27
8. 2
3. 7
6. 25

Hope this helped:))

2/5 kilogram of soil fills 1/3 of a container. Can 1 kilogram of soil fit in the container?

Answers

Answer:

25

yes

Step-by-step explanation:

Solve the equation 8 −7/10 c = 6−1/5 c for c. please show how you got it

Answers

The answer to C the number that’s missing is 8 I took the quiz

Answer:

the answer is 0.5

Step-by-step explanation:

y=m×+b

1.
m=6
b=12

2.
m=20
b=4

3.
m=10
--
16
b=8​

Answers

Answer:

m=20

b=4

m=10

Step-by-step explanation:

A recipe for a trail mix calls for 6 cups of Chex mix and 8 cups of pretzels how many cups of pretzels are needed to make 112 cups of trail mix

Answers

Answer:3/2

Step-by-step explanation: so you have the number of cups of Chex Mix in the bag is 3x = 3*9 = 27 cups and the number of cups of chocolate chips is 2x = 2*9 = 18 cups. Indeed, we see that 27 + 18 = 45 and 27/18 = 3/2 as required.

PLEASE HELP!!!!! Need answer immediately

Rania redesigned the bottom of one of the Landing pools. the equation that describes the bottom of the redesigned pool is y = 2/5x -60 in this equation y represents the depth of the water and x is the distance a guest lands away from the far wall all measurements are in inches. How deep is the water in the pool where a guest lands in the water 36 inches from the wall?
A. Y=74.4 in
B. Y=38.4 in
C. Y=45.6 in
D. Y=60 in

Answers

Answer:

C. y = 45.6 in

Step-by-step explanation:

Given equation:

[tex]y=\dfrac{2}{5}x-60[/tex]

where:

y is the depth of the water (in inches).x is the distance a guest lands away from the far wall (in inches).

If a guest lands 36 inches from the wall, then x = 36.

Substitute x = 36 into the equation:

[tex]\implies y=\dfrac{2}{5}(36)-60[/tex]

[tex]\implies y=\dfrac{2 \cdot 36}{5}-60[/tex]

[tex]\implies y=\dfrac{72}{5}-60[/tex]

[tex]\implies y=14.4-60[/tex]

[tex]\implies y=-45.6[/tex]

Therefore, the depth of the water is 45.6 inches (since -45.6 inches means it is that distance below the surface).

Find the slope-intercept equation of the line that passes
through (5, -3) and has a slope of -3.


Only need the answer

Answers

Answer:

y=-3x+12

Step-by-step explanation:

Plug in (5, -3) for x in the slope-intercept form. This gives -3 = 5*-3 + b, or -3 = -15 + b. We want to solve for b, so add 15 to both sides, giving b = 12.

Help quick if you can!

Answers

the answer is line b

Line B!!
hope this helps

Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

y=−3x+12y=−6x+2

Select the correct answer from the drop-down menu.


consistent and independent

Answers

The system of equation is consistent and independent because it has one unique solution.

How to solve system of equation?

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent.

Therefore, let's solve the equation,

y = -3x + 12

y = -6x + 2

Using substitution,

-6x + 2 = -3x + 12

-6x + 3x  = 12 - 2

-3x = 10

x = - 10 / 3

y = -6(-10 / 3) + 2

y = 60 / 3 + 2

y = 20 + 2

y = 2

Therefore, the system of equation is consistent and independent.

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Find the perimeter of the figure below
A. 44m
B. 48m
C. 52m
D. 46m
E. 50m
Perimeter equals ______________ meters

Answers

Answer: 50

Step-by-step explanation:

10+15+6+4+6+11= 50

Edit=

We can see that the length of one side is 10, and the width of one is 15. For the other side of the width, we can subtract 4 from 15 to get 11. For the other length, we can subtract 6 from 10 to get four. We also have to add in the 6 and 4 because they are parts of the border. (10+15+11+4+6+4)

Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
what distance did stanley swim run and bike
PLEASE HELP

Answers

The time  did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles is 1.5 hrs, 1 hrs, 3 hrs. The distance is 13.5 miles, 2.5 miles , 48 miles.

How to find the distance and time?

Let t represent the  time he ran

Let t -.5 represent  time he swam

Let 2t represent the  biking time

Hence,

9t + 2.5(t-.5) + 16(2t) = 64

9t + 2.5t - 1.25 + 32t = 64

Collect like terms

43.5t = 64 + 1.25

Divide both side by 43.5t

t = 65.25/43.5

t = 1.5 hrs (Time he ran)

So,

Time he swam

t -.5 where t is 1.5 hrs

1.5-.5 = 1 hr (Time he swam)

Biking time

2t where t is 1.5 hrs

2(1.5) = 3 hrs (biking time)

Distance of each

1.5(9) = 13.5 miles  (running)

1(2.5) = 2.5 miles   (swimming)

3(16) = 48 miles  (biking)

Total distance = 13.5 miles + 2.5 miles + 48 miles

Total distance = 64 miles

Therefore the time  is 1.5 hrs, 1 hrs, 3 hrs and the distance is 13.5 miles, 2.5 miles , 48 miles.

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Ajit has five coins that make up $.51 what coins does Ajit has

Answers

Answer:

Step-by-step explanation:

Ajit has 5 coins in total

1 quarter = 25 cents

1 nickel = 5 cents

2 dimes = 20 cents

1 penny = 1 cent

The required coins that Ajit has are 1 quarter, 1 nickel, 2 dimes, and 1 penny.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let,
Quarter = x
Nickle = y

Dimes = z
penny = a

So, accoding to the quesiton
0.25x + 0.5y + 0.10z + 0.01a = $0.51

Ajit has 5 coins in total

So that the sum of x + y + z + a = 5

Apply hit and trial,

1 quarter = 25 cents

1 nickel = 5 cents

2 dimes = 20 cents

1 penny = 1 cent
Total coins value = $0.51

Similarly, various cases can be determined.

Thus, the required coin that Ajit has is 1 quarter, 1 nickel, 2 dimes, and 1 penny.

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Find the value of X that makes m n

Answers

The value of x is 6 degree that makes m || n.

What is parallel lines?

Parallel lines are coplanar, straight lines in geometry that don't cross at any point. When two planes in the same three-dimensional space are parallel, they never cross. Curves that maintain a set minimum distance from one another and do not touch or intersect are said to be parallel curves.

(8) Given: m || n

We have to find the value of x that makes m || n.

The lines m and n are divides by the line l of angle 90 degree.

⇒ 16x - 6 = 90

Add 6 on both sides,

16x - 6 = 90 + 6

16x = 96

Divide both sides by 16

16x/16 = 96/16

x = 6

Hence, the value of x is 6 degree that makes m || n.

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Factory XYZ has already produced 280 units today. The factory produces 92 units per hour. Today's goal is to produce at least
1,108 units. If x represents the number of production hours, which of the following inequalities symbolizes this situation?

Answers

The inequlity according to the given statement will be equal to 280 + 92(x) ≥ 1,108.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given information in the question,

Rate of production per hour by the factory = 92 per hour

The factory has to produce at least 1,108 units.

Number of units produced today = 280

Assume x is the number of production hours,

Then, the equation will be,

280 + 92(x) ≥ 1,108 units.

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How do you solve 3x2-5(-2)

Answers

Answer:

Step-by-step explanation:

you do the math

Answer:

16

Step-by-step explanation:

I'm solving this question according to PEMDAS.

3x2-5(-2)

3x2+10

6+10

16

Could you please give me brainliest for this? Thanks!

Negative and zero exponents 36 x¹⁵y²⁰/ 12 x³y⁵=

Answers

The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

The mathematics of power or exponent of any number is called indices.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

As per the given,

36 x¹⁵y²⁰/ 12 x³y⁵ = [(36/12) (x¹⁵y²⁰)/(x³y⁵)]

36 x¹⁵y²⁰/ 12 x³y⁵ = 3x¹⁵y²⁰ × x⁻³y⁻⁵z⁰

Hence "The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰".

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Can you please help me with this

Answers

Answer: 100 ft sq.

Step-by-step explanation:

The equation for surface area is S = 2lw + 2lh + 2wh.

l=2, h=7, w=4.

S = 2(2)(4) + 2(2)(7) + 2(4)(7)

S = 16 + 28 + 56

S = 100

solve the next fractions ​

Answers

Answer:

[tex]-\frac{19}{50}[/tex]

Step-by-step explanation:

[tex]-\frac{\frac{38}{25} }{4}[/tex]

[tex]-\frac{38}{25 * 4}[/tex]

[tex]-\frac{19}{50}[/tex]

Hello can someone please help me out? Thank you so much I’ll give brainly :)

Answers

Answer:

Step-by-step explanation:

the answer is a 28.27

Answer:

a) 28.27

Step-by-step explanation:

Formula we use,

→ πr²

Now the required area will be,

→ 3.14 × 3²

→ 3.14 × 9

→ 28.27 in²

Hence, the area is 28.27 in².

An underwater robot takes a picture at an elevation of -8 5/12m relative to sea level. What is the robot’s elevation expressed sans decimal?

Answers

The value of the expression to the nearest tans is -8.4

What is rounding a number?

Adjusting a number's digits so that it produces an approximation of a result is known as rounding

The given expression is -8 (5/12).

Rewrite the expression:

-8 (5/12)

= - 101/12

= - 8.4

Hence, the value of the expression to the nearest tans is -8.4

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what is the raito 40 to 18​

Answers

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

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Jack bought a tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year. After 4 years, the tree is 5 feet tall. Write an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years. Then, find the number of years it will take the tree to reach 20 feet

Answers

The equation in slope-intercept form to find the height is y = 0.75x + 5 and the number of years it will take the tree to reach 20 feet is 24

The linear equation to find the height (in feet) of the tree

The given parameters in the question are

Growth = 9 inches per year

Length of the tree after 4 years = 5 feet

Convert inches to feet

So, we have

Growth = 0.75 feet per year

A linear equation of this scenario is represented as

Length = Growth * Number of years + Initial length

So, we have

y = Growth * x + Initial length

This gives

5 = 0.75 * 4 + Initial length

Evaluate

Initial length = 2

So, the equation is

y = 0.75x + 2

The number of years it will take the tree to reach 20 feet

This means that

y = 20

Recall that

y = 0.75x + 2

So, we have

0.75x + 2 = 20

Evaluate

0.75x = 18

Divide by 0.75

x = 24

Hence, the number of years is 24

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Please helppp its worth 10

Answers

Answer: Choose 15 and 20

Step-by-step explanation:

Both 15 and 20 will work because if you subtract 8 from both, you will get 7 and 12 and both numbers are still greater than 5.

It is 15 and 20
Since it is less than equal to the answer would not be 13
It would anything higher than 13
13

Find the Banzhaf power distribution of the weighted voting system
[30: 17,15,13,1]
Give each player's power as a fraction or decimal value
p₁ ____
p₂ ____
p₃ ____
p₄ ____

Answers

These are the possible combination of winning players:

{P1, P2}( weight :32)                       {P1, P2, P4} (weight: 31)

{P1, P2, P3} (weight: 45)                 {P1, P2, P3, P4} (weight: 46)

{P1, P3, P4} (weight: 31)                   {P1, P3} (weight: 30)    

What is the distribution?

The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.

The voting system tells us that the quota is 30, that Player 1 has 17 votes (or equivalently, has a weight of 17), Player 2 has 15 votes, Player 3 has 13 votes, and Player 4 has 1 votes.

A coalition is any group of one or more players. What we're looking for is winning coalitions - coalitions whose combined votes (weights) add to up to the quota or more. So the coalition  {P3, P4}  is not a winning coalition because the combined weight is  13 + 1 = 14, which is below the quota.

So we look at each possible combination of players and identify the winning ones:

{P1, P2}( weight :32)                       {P1, P2, P4} (weight: 31)

{P1, P2, P3} (weight: 45)                 {P1, P2, P3, P4} (weight: 46)

{P1, P3, P4} (weight: 31)                   {P1, P3} (weight: 30)            

Hence, these are the possible combination of winning players.

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What is the product of a number and 18

Answers

Answer:

18n

Step-by-step explanation:

Product : Multiplication result

number : n

18 : 18

of a number and 18 : n*18

The product of a number and 18 is n*18, or 18n.

Write 64 × 32 as a power of 2.

Answers

Answer:

2⁶×2⁵

Step-by-step explanation:

64×32

= 2⁶×2⁵ ans

thank you for questioning ....

WILL GIVE BRAINLIEST
Function f is an exponential function
By what factor does the output value increase as each input value increases by 1?

Answers

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Factor

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

David was at the
airport for 2 hours.
He spent 45 minutes of
that time waiting in
the security line.
What percentage of
time did he spend in
the security line?

Answers

Answer:

37.5%

Step-by-step explanation:

2 hours = 120 mins

(Units need to be the same in order to work with them)

45/120 = x/100

45 * 100 = 120x

x= 37.5%

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