Please help I don’t understand how to use trig for perimeter

Please Help I Dont Understand How To Use Trig For Perimeter

Answers

Answer 1

Answer:

Use the formula: h square is equal to p square + b square
Answer 2

Answer:

15 + 3√7

Step-by-step explanation:

perimeter = sum of all sides

since it is a right-angled triangle, hence we can find the 3rd side using Pythagoras theorem:-

hypotenuse = √(12² + 3²)

=> √(144 + 9)

=> √153  = 3√7

perimeter = 12 + 3 + 3√7

15 + 3√7


Related Questions

What is the result of this operation?

Answers

Answer: B

Step-by-step explanation:

If you chose D it would be wrong because you have to remember that the two negatives cancel out!

Y-2/3x=-6. Find the value of y.

Answers

add 2/3 to both sides
y-2/3=-6

y-2/3 = -6
+2/3 +2/3


simplify: add the numbers

y=-16/3


hope that helped

The r in the simple interest formula stands for rate which best describes how to use rate in formula

Answers

The best option is to Convert it to a decimal and multiply is the best way to describe rate in simple interest formula. The correct option is A.

What is simple Interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest (S.I.) is a method for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.

Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount. The correct option is A.

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Which expression is equivalent to −6(b − 7)? −6b − 42 −6b + 42 −6b − 7 6b + 7

Answers

The expression that is equivalent to −6(b − 7) is: B. -6b + 42.

How to Find Equivalent Expressions?

Expressions that are equivalent to each other will give the same value when simplified and solved in their simplest forms.

Simply put, two expressions will be equivalent if they have the same number of terms or they will give the same quantity when you plug in the values of all the variables that are given in the expressions.

Given the expression, -6(b - 7), the steps below shows how we can simplify to determine the expression that is equivalent to it

-6(b - 7) [given]

Open the parentheses by using the distributive property of equality, which involves multiplying each of the terms within the parentheses by the term outside of the parentheses:

-6(b) -6(-7) [distributive property]

-6b + 42

-6b + 42 is the equivalent expression of -6(b - 7).

Thus, the answer is: B. -6b + 42.

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32 feet
21 feet
< Previous
8 feet
12 feet
Which of these boards could be used for his project?
OA, B, and C
OA, B, and D
OD, C, and A
OD, C, and B

Answers

Work is done by A in one day [tex]$=\frac{1}{15}$[/tex]

By B [tex]$=\frac{1}{12}$[/tex]

[tex]\mathrm{C}=\frac{1}{20}[/tex]

boards could be used for his project

Together in 1 Day [tex]\text { Together in } 1 \text { Day }=\frac{1}{15}+\frac{1}[/tex][tex]{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}[/tex]

2 days work [tex]$=\frac{2}{5}$[/tex]

Remaining work [tex]$=1-\frac{2}{5}=\frac{3}{5}$[/tex]

one day work of [tex]$\mathrm{A}, \mathrm{B} \Rightarrow \mathrm{A}+\mathrm{B}=\frac{1}{15}+\frac{1}{12}=\frac{4+5}{60}=\frac{9}{60}=\frac{3}{20}$[/tex]

[tex]$$\begin{aligned}& (A+B) \text { work for } t \text { days }=\frac{3}{20} t=\frac{3}{5} \\& t=4 \text { days }\end{aligned}$$[/tex]

A and B will complete the work in 4 days.

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9. Solve for x.
12x + 3
11x +9
a. x = 9
b. x = 12
C. X = 6
d. x = 23

Answers

12x+3=11x+9
Subtract 11x from 12
x+3=9
Subtract 3 from 9
x=6
The answer is C

Convert 940 hours into a year Round answer to the nearest hundredth

Answers

Answer:

0.41 years

Step-by-step explanation:

940 hours is equivalent to 0.41 years. When rounded to the nearest hundredth, that would be 0.00 years. It is not possible to convert hours directly to years because they are different units of time measurement. Years are a measure of the time it takes for the Earth to orbit around the Sun, while hours are a measure of time within a day. To convert hours to years, you would need to know the number of hours in a year, which can vary depending on the number of days in the year and the number of hours in a day.

Answer:

Hi!

I think the answer you might be looking for is 0.11

I hope this helped you :)

AIM: SWBAT solve two-step equations using a balance model
THINK ABOUT IT!
Mark is working at a grocery store and is stacking apples. Before he stacks them, he puts them on a
balance to weigh them. On the right side of the balance, he put 15 apples. On the other side of the
balance, he puts two boxes of apples and three additional apples (pictured below). The weight on
either side of the balance is equal, which keeps the balance balanced.
Step A: Write an equation to represent the balance.
Step B: If there is the same number of apples in each box, how many apples are in each box

Answers

A. The equation that represents the balance is, 2x + 3 = 15.

B. Each box contains, x = 6 apples.

How to Write and Solve an Equation?

Given the problem above, to write an equation that would represent the balance, we would assume both sides of the balance are separated by the equal sign, "=".

Therefore, let the unknown number of apples in each box be be represented as x.

A. Apples in the two boxes would be 2x, the total apples on the left of the balance would be expressed as:

2x + 3

On the right, we have 15 apples, therefore, the equation that represents the balance is: 2x + 3 = 15

B. Solve to find x, the number of apples in each box:

2x + 3 = 15

2x + 3 - 3 = 15 - 3

2x = 12

x = 12/2

x = 6

This means that there were 6 apples in each box.

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A triangle has side lengths of (9v-7w)(9v−7w) centimeters, (7v+10x)(7v+10x) centimeters, and (8x+5w)(8x+5w) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Perimeter of triangle is P= 18x+16v-2w.

How do triangles work?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                      The triangle's three angles add up to a total of 180 degrees.

.

side lengths of a triangle are (9v-7w),(7v+10x),(8x+5w) centimetres.

 We know that perimeter of the triangle is sum of all the three sides.

So here perimeter p= addition of all sides of a triangle.

Therefore ,

      P = ( 9v - 7w) + (7v + 10x ) + ( 8x + 5w)

          = 9v - 7w + 7v + 10x + 8x + 8w

           = 18x + 16v - 2w

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PLEASE HELP!

determine the truth value of each conditional.

1. Explain your reasoning or give a counterexample. if a figure has four congruent angles then the figure is a square.

2. if the sidewalks are wet, then it has been raining.

3. Write a biconditional for the following conditional. Determine the truth value of the new statement. If two lines have the same slope, then they are parallel.

Answers

1. True
2. Not true. It could’ve been a lawn sprinkler
3. Two lines have the same slope if and only if they are parallel. True

A game uses an unbiased die with faces numbered 1 to 6. The die is thrown once. If it shows an even number this number is doubled to get the final score. If an odd number is thrown then the die is thrown again and the final score is the sum of the numbers shown on the two throws.

Given that the dice was thrown twice. What is the probability that the final score is 8

Answers

The decibel is 8 because I took the test out in Birmingham and bought sandwich and then slept with a bird

Which expressions are equivalent to
[tex] {5}^{18} [/tex]
select all that apply




Answers

Answer:

B and C

Step-by-step explanation:

(5⁷)¹¹ = 5⁷⁷

5⁹ × 5² = 5¹¹

Answer:

[tex] {5}^{12} \times {5}^{6} and \: \frac{ {5}^{24} }{ {5}^{6} } \\ option \: b \: and \: c[/tex]

Step-by-step explanation:

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} \\ \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]

[tex] {5}^{12} \times {5}^{6} = {5}^{(12 + 6} = {5}^{18} \\ \frac{ {5}^{24} }{ {5}^{6} } = {5}^{(24 - 6)} = {5}^{18} [/tex]

find f(20) if f(x)=[tex]\frac{1}{4}x+5[/tex]

Answers

Answer:

f(20) = 10

Step-by-step explanation:

A rectangle park had two walking pathe as shown if PS=115m and PR=216m, find the length of QT​

Answers

Answer:

QT = 108 m

Step-by-step explanation:

the diagonals of a rectangle are congruent and bisect each other, so

QS = PR = 216 , then

QT = [tex]\frac{1}{2}[/tex] QS = [tex]\frac{1}{2}[/tex] × 216 = 108 m

Answer: 108

Step-by-step explanation:

diagonals of a rectangle are equal in length

∴ PR = QS = 216

Diagonals of a rectangle bisect each other

=> QT = QS = [tex]\frac{QS}{2} \\= > \frac{216}{2}\\ = 108[/tex]

each student at william elementary can only participate in one fall activity. there are 65 students on the football team and twice that number in band. there are 61 students on each of the two soccer teams. how many students participate in fall activities

Answers

Answer:191

Step-by-step explanation:

65x2=130

130+61=191

7 (-5r+3) - 7r ≤ -29+8r solve the inequality ​

Answers

The value of r for the given inequality 7(-5r + 3) - 7r ≤ -29 + 8r is r ≥ 1.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

7(-5r + 3) - 7r ≤ -29 + 8r

To determine the value of r, simplify the inequality,

-35r + 21 - 7r ≤ -29 + 8r

21 - 42r  ≤ -29 + 8r

21 + 29  ≤ 42r + 8r

50  ≤ 50r

1 ≤  r

Or r ≥ 1.

The value of r is greater than or equal to 1.

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AHH PLEASE HELP I NEED TO HAVE THIS DONE IN 30 MIN AND THIS IS THE QUESTION I NEED HELP WITH I WILL GIVE 95 POINTS AND MARK BRAINLIEST


A linear relationship is given.

The slope of the linear relastionship is ?

Answers

The slope of the linear relationship is 15.

Define slope.

Slope is the inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run"). The slope of a line tangent to a function's graph in differential calculus is determined by the derivative of that function and serves as a representation of the function's instantaneous rate of change with regard to changes in the independent variable. The slope of a tangent line in the graph of a position function, which plots the distance travelled by an object against the passage of time, corresponds to the object's instantaneous velocity.

Given

A linear relationship is given.

y₁ = -9

y₂ = 6

x₁ = 0

x₂ = 1

Slope:

m = y₂ - y₁/x₂ - x₁

m = 6 + 9/1 - 0

m = 15/1

m = 15

The slope of the linear relationship is 15.

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Answer:

Slope = 15

Step-by-step explanation:

Now we have to,

→ find the slope of linear relationship.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Coordinates we use from table,

→ x1 = 0, y1 = -9

→ x2 = 1, y2 = 6

Then the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (6 -(-9))/(1 - 0)

→ m = (6 + 9)/1

→ m = (15)/1

→ [ m = 15 ]

Hence, the required slope is 15.

Stanley had a poster made from a picture of
his dog Tasha. The poster image is eight
times the size of the picture. If the poster
image is 120 cm. in height, what was the
height of Stanley's original picture of Tasha
(in centimeters)?

Answers

Answer:

15 c m.

Step-by-step explanation:

120 divided by 8 =15

Point B is on the graph of the function f(x) = -3x2. If the x-coordinate of point B is 2, which ordered pair gives the location of point B?

Answers

The ordered pair gives the location of point B is (2, f(2)).

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, B is a point on the graph of the function f(x) = - 3x² and the

x-coordinate of point B is 2.

To obtain the value of the y-coordinate we'll simply replace 2 in place of x.

Therefore, f(2) = - 3(2)².

f(2) = - 3(4).

f(2) = - 12.

Observing the given option the only correct answer would be

(2, - 12) and (2, f(2)).

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Harry owns a rare baseball card that is valued at $13.00​​. If he originally purchased the card for $5.00​​, by what percentage has its value increased?

Answers

Answer: The Value has increased by 800%

Step-by-step explanation:

       

[140,166,132,165,152,168,181,158,173,180,182,163,177,180,142,147,149,178]

Answers

Answer: Mode: 180

Quartiles:

Q1 --> 149

Q2 --> 165.5

Q3 --> 178

Mean: 162.944....

Median: 165.5

Step-by-step explanation:

The instructions for a fashion design project require three different cuts of silk The
longest piece must be twice the length of the middle-sized piece, and the shortest
piece must be ten inches shorter than the middle sized piece. The total length of the
piece of silk you are given to work with is 70 inches. How long should each of the
three cut pieces be?

Answers

The three cut pieces should be 10 inches, 20 inches, and 40 inches  for the shortest, middle-sized and longest respectively

How to determine how long should each of the three cut pieces be?

This is a word problem. We need to understand the sentence in order to translate it correctly.

To find the length of each of the three cut pieces, we can use the given information to set up a system of equations.

Let L, M and S be the length of the longest, middle-sized and shortest piece respectively

So we can set up the following equation:

L = 2M

S = M-10

L + M + S = 70

2M + M + (M - 10) +  = 70

We can combine like terms to get:

4M - 10 = 70

4M = 80

We can divide both sides by 4 to get:

M = 20

Therefore, the length of the middle-sized piece is 20 inches.

Since L = 2M

L =  2 × 20 inches = 40 inches.

Since S = M - 10

S = 20 - 10 = 10 inches.

Therefore, the three cut pieces should be 10 inches, 20 inches, and 40 inches for the shortest, middle-sized and longest respectively

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Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?A. 2w^2 + 5w, where w is the widthB. 2w^2 + 5, where w is the widthC. 2w^2, where w is the widthD. 10w^2 + 5 w, where w is the width

Answers

The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.

What is the area of rectangular shape?

In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Given that the length of a cabin is equal to 5 feet more than twice the width.

Assume that the width of the cabin be w.

Then the mathematical expression of twice the width is 2w.

Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.

The area of rectangular shape is product of length and width.

The area of the cabin is (2w + 5)w

Apply distributive property:

= 2w × w + 5 × w

= 2w² + 5w

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What is the solution of the system of equations below?
x + 3y = 7
2x - y = 7

Answers

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

Find the sum of the finite arithmetic sequence.
Sum of the first 80 positive odd integers

Answers

Answer:

6400

Step-by-step explanation:

We have 1 + 3 + 5 + ... + 155 + 157 + 159.

We can use Gauss's strategy.

Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)

Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.

I hope this helps!

the idea that there is a relationship in the population and that the relationship in the sample reflects this relationship in the population is referred to as:

Answers

The idea that there is a relationship in the population and that the relationship in the sample reflects this relationship in the population is referred to as Alternative Hypothesis.

Alternative Hypothesis:

In statistical hypothesis testing, the alternative hypothesis is one of the statements proposed in the hypothesis test. In general, the purpose of a hypothesis test is to show that, given the conditions, there is sufficient evidence to support the reliability of the alternative hypothesis rather than the sole assertion in the test (the null hypothesis) . It is usually consistent with research hypotheses because it is generated from literature reviews, previous studies, etc. However, in some cases the research hypothesis is consistent with the null hypothesis.

In statistics, the alternative hypothesis is often denoted by Ha or H1. Hypotheses are formulated to compare them in statistical hypothesis testing. In the field of inferential statistics, two competing hypotheses can be compared for their explanatory and predictive power.

For scalar parameters, there are four main types of alternative hypotheses:

Points: The point alternative arises when the hypothesis test is designed such that the population distribution under the alternative is a fully defined distribution with no unknown parameters. Such hypotheses are usually of no practical interest, but are fundamental to the theoretical considerations of statistical inference and form the basis of the Nyman-Pearson lemma.Unidirectional: The one-sided alternative addresses the rejection region on only one side of the sample distribution.Bidirectional:  The two-sided alternative addresses both rejection regions of the sample distribution.Undirected: The undirected alternative hypothesis does not address any of the areas of rejection, only that the null hypothesis is not true.

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Simplify the fractions, show your work
35/90
3/36

Answers

Answer:

Step-by-step explanation:

35/90 gets devided by 5

7/18

3/36 gets devided by 3

1/12

Answer:35/90 = 7/18

            3/36=1/12

Step-by-step explanation:

for 35/90 you divide both sides by 5 giving you 7/18 and 3/36 you divde both by 3 giving you 1/12.

Hope this helped

10. Open-Ended Complete the addends so you need to regroup to add. Then find the sum. 4, _ 37 + 1,28_​

Answers

The addends 4, _ 37 + 1,28_ is completed so there will be need to regroup to add.

the addends. 4, 837 + 1,287

the sum is 6124

What is regrouping?

Regrouping refers to rearranging numbers into groups according to place value to assist kids in handling greater numbers.

When performing operations like addition and subtraction on two-digit integers or bigger, regrouping is the process of forming groups of tens. Regrouping refers to the process of performing an operation by rearranging groups in place value.

Using regrouping for the addition problem

addend 4 8 3 7

addend  1 2 8 7

sum                 4

                    1      regrouped to tens column

addend 4 8 3 7

addend  1 2 8 7

sum              2 4

                1         regrouped to hundreds column

addend 4 8 3 7

addend  1 2 8 7

sum           1 2 4

             1              regrouped to thousands column

addend 4 8 3 7

addend  1 2 8 7

sum        6 1 2 4

the sum is 6124

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When Mike and Travis go fishing, the probability that Mike catches at least one fish is 23. The probability that Travis catches at least one fish is 35. The probability that both Mike and Travis catch at least one fish is 12.
Let M = the event that Mike catches at least one fish.
Let T = the event that Travis catches at least one fish.

Are M and T independent events? Why or why not?
A) yes, because P(M)×P(T)=P(M and T)
B) yes, because P(M)+P(T)>P(M and T)
C) no, because P(M)×P(T)≠P(M and T)
D) no, because P(M)+P(T)>P(M and T)

Answers

The correct option regarding the probabilities and if the events are independent is given as follows:

C) no, because P(M)×P(T)≠P(M and T).

How to calculate the probabilities?

In the context of an experiment, a probability is calculated as the division of the number of desired outcomes in the context of the problem by the number of total outcomes in the context of the experiment.

The probabilities of at least one fish for each are given as follows:

Mike: P(M) = 2/3.Travis: P(T) = 3/5.

The probability that both catch at least one is:

P(M and T) = 1/2.

The multiplication of the probabilities of each is given as follows:

P(M) x P(T) = 2/3 x 3/5 = 2/5.

Different from P(M and T), hence these are not independent events, and option c is correct.

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Question 1 of 7 ✓
Question 1
>
The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. Which
statements about the function are true? Select all that apply.
A

Answers

The parking cost is the function of the amount of time the car is parked and for 1 hour the cost of parking is $3 with a maximum amount of $12 for parking. The correct statements are C and D.

What is a function?

A function is a relationship between the dependent and independent variables. The independent variables are function inputs, while the dependent variables are function outputs. The value of a dependent variable is determined by the input.

Here in the graph, the cost of parking is varying with time. It means that the cost of parking is dependent on the time of parking but the maximum amount for parking is $12 for any number of hours of car parking.

Hence, the correct statements are C and D.

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The quantitative research approach is part of the positivist way of thinking which includes:a) Accountability, reliability, comprehension, and the use of intuitionb) Measurability, objectivity, reducing uncertainty, duplication, and the use of standardized proceduresc) Duplicity, simplicity, reliability, and experienced) None of the above She was paralyzed by gun fire as a child and now shes graduating from high school part A: which statement expresses the central idea of the text A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 7 inches. A random sample of 51 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) A diffraction grating 20.0 mm wide has 6000 rulings. Light of wavelength 589 nm is incident perpendicularly on the grating. What are the (a) largest, (b) second largest, and (c) third largest values of theta at which maxima appear on a distant viewing screen? different biomes are characterised by different levels of productivity. which of those biomes listed below will have a lower net primary productivity (npp) and why? The diagram below represents a wave.What is the speed of the wave if its wavelength is 3.0 m? ______this article discusses the rights of the states and the process for adding new states to the union. evaluate the following expression. express your answer as a fraction or a decimal number rounded to four decimal places. 11C9/11P4 Which diagram shows the rotation Rc, -90 (ABCD) = A'B'C'D'? True or False: PCAOB standards suggest that auditors emphasize nonroutine transactions as contrasted to routine transactions in their consideration of internal control. True or False: the most common approach to pay differentials is to move an employee lower in the pay structure to compensate for higher living costs 34) Which of these tools allows a project team to make future projections of project status based on its current state? A) Tracking Gantt chart B) Milestone chart C) S-curve D) Earned value management amanda purchased a home for $660,000 in 2016. she paid $132,000 cash and borrowed the remaining $528,000. this is amanda's only residence. assume that in year 2024, when the home had appreciated to $990,000 and the remaining mortgage was $396,000, interest rates declined, and amanda refinanced her home. she borrowed $660,000 at the time of the refinancing, paid off the first mortgage, and used the remainder for purposes unrelated to the home. what is her total amount of acquisition indebtedness for the purposes of determining the deduction for home mortgage interest? (assume not married filing separately.) incorporating paraphrasing restating or generating in new form information that is already Find the vertex of the graph of 7(x) = 10.25x - 0.75|. Two different meal combinations at a chicken restaurant have the same number of total calories.- The first meal has 8 chicken nuggets and a large order of fries.- The second meal has 12 chicken nuggets and a small order of fries.- The larger order of fries contains 288.5 calories.- The small order of fries contains 193.5 calories.Which equation and solution can be used to determine n, the number of calories in each chicken nugget?A 12 n-288.5=8 n-193.5 ; n=24.1B 8 n+193.5=12 n+288.5 ; n=23.75C 193.5+12 n=288.5+8 n ; n=24.1D 8 n+288.5=12 n+193.5 ; n=23.75 look at the data. if the bank of springfield is holding on to no excess reserves, and all other banks have the same reserve ratio, then what is the value of the money multiplier? Whats 7 1/3 - 5 1/6 ? Pls hurry !!! Based on the numbers used in the poem, what is the poet'sopinion of humanity? Use text evidence in your answer. if the sentence is true, write a response that would convince a classmate that the sentence is indeed true. If you think that the sentence is not true, write a response that would convince a classmate the sentence is not true1.A 10 cm radius Styrofoam sphere is submerged in water. So is a 10 cm radius lead sphere. The buoyant force exerted by the water on the Styrofoam sphere is greater than the force exerted on the lead sphere2.Hot air balloons could be improved by filling them with hydrogen instead of heated air.