Find the area of the following figure. Show your work.area of odd shapes.

Find The Area Of The Following Figure. Show Your Work.area Of Odd Shapes.

Answers

Answer 1

To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.

Now, find the area of each of the simpler figures, in these case, the rectangles:

[tex]\begin{gathered} A=b\cdot h \\ A_A=7\cdot3=21 \\ A_B=6\cdot2=12 \\ A_C=7\cdot2=14 \\ A_D=5\cdot3=15 \\ A_E=3\cdot1=3 \end{gathered}[/tex]

Finally, find the sum of all these areas to find the area of the figure:

[tex]A_F=21+12+14+15+3=65[/tex]

The area of the figure is 65.

Find The Area Of The Following Figure. Show Your Work.area Of Odd Shapes.

Related Questions

It takes Anastasia 45 minutes to walk 2.5 miles to the park. At this rate, how
many minutes should it take her to walk 3 miles?

Answers

ANSWER: 54 minutes

WORK:

45/2.5 = 18
18 • 3 = 54
45 divided by 2.5 equals 18

18 x 3=54

For triangle ABC, a = 7.7 , b = 17.0 , c = 12.7. Find m∠C.

Answers

The triangle can be drawn as shown below:

The Cosine Rule can be applied in this case. It is given to be:

[tex]\begin{gathered} c^2=a^2+b^2-2ab\cos C \\ \cos C=\frac{a^2+b^2-c^2}{2ab} \end{gathered}[/tex]

From the question, we have the following measures:

[tex]\begin{gathered} a=7.7 \\ b=17.0 \\ c=12.7 \end{gathered}[/tex]

Therefore, we can substitute and solve as shown below:

[tex]\begin{gathered} \cos C=\frac{7.7^2+17.0^2-12.7^2}{2\times7.7\times17.0} \\ \cos C=\frac{187}{261.8} \\ \cos C=0.714 \end{gathered}[/tex]

Therefore, the measure of angle C will be gotten to be:

[tex]\begin{gathered} C=\cos ^{-1}0.714 \\ m\angle C=44.4\degree \end{gathered}[/tex]

The measure of angle C is 44.4°.

Find the quotient of 24 and 3.


Please help

Answers

Answer

8

Step-by-step explanation

we know that the term quotient means that we divided so we think backward if 24 is being divided by 3 what times 3 equals 24 the answer would be 8 because 3x8=24.

can you help me answer this please?This is condense each expression to a sinhle logarithm

Answers

ANSWER

[tex]\log_3x^{\frac{1}{3}}[/tex]

EXPLANATION

Given;

[tex]\frac{\log _3x}{3}[/tex]

Rewrite as;

[tex]\frac{1}{3}\log_3x[/tex]

Simplify by moving 1/3 inside the logarithm;

[tex]\begin{gathered} \log_3x^{\frac{1}{3}} \\ \end{gathered}[/tex]

I just need to know what do I do when it says 2t but t is 10.M - t squared 2 / (M+p) + 2t

Answers

Solution:

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

[tex]m-t^2\div(m+p)+2t[/tex]

STEP 2: Write the given values

[tex]t=10,m=3,p=2[/tex]

STEP 3: Substitute the values and simplify

[tex]\begin{gathered} 3-(10^2)\div(3+2)+2(10) \\ Follow\:the\:PEMDAS\:order\:of\:operations \end{gathered}[/tex]

We solve the bracket first:

[tex]=3-100\div5+20[/tex]

We solve the division operator next:

[tex]\begin{gathered} 3-(100\div5)+20 \\ 3-20+20 \end{gathered}[/tex]

We do the addition and subtraction simultaneously to have:

[tex]3+0=3[/tex]

Hence, the result of the simplification gives 3

solve the equation for x

6x + 8 = 50

Answers

Answer:

x=7

Step-by-step explanation:

To solve the equation for x, isolate it on one side of the equation.

6x+8=50

Subtract by 8 from both sides.

6x+8-8=50-8

Solve.

50-8=42

6x=42

Divide by 6 from both sides.

6x/6=42/6

Solve.

Divide.

42/6=7

[tex]\Rightarrow \boxed{\sf{x=7}}[/tex]

Therefore, the solution is x=7, which is the correct answer.

I hope this helps, let me know if you have any questions.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{6x + 8 = 50}[/tex]

[tex]\large\text{SUBTRACT \boxed{\textsf 8} to BOTH SIDES}[/tex]

[tex]\mathsf{6x + 8 - 8 = 50 - 8}[/tex]

[tex]\large\text{CANCEL out: \boxed{\mathsf{8 - 8}} because it gives you 0}[/tex]

[tex]\large\text{KEEP: \boxed{\mathsf{50 - 8}} because it help solve for the x-value}[/tex]

[tex]\mathsf{6x = 50 - 8}[/tex]

[tex]\large\text{New equation: } \mathsf{6x = 42}[/tex]

[tex]\large\text{DIVIDE \boxed{\mathsf{6}} to BOTH SIDES sides}[/tex]

[tex]\mathsf{\dfrac{6x}{6} = \dfrac{42}{6}}[/tex]

[tex]\large\text{CANCEL out: \boxed{\mathsf{\dfrac{6}{6}}} because it gives you 1}[/tex]

[tex]\large\text{KEEP: \boxed{\mathsf{\dfrac{42}{6}}} because it gives you the x-value}[/tex]

[tex]\mathsf{x = \dfrac{42}{6}}[/tex]

[tex]\mathsf{x = 7}[/tex]


[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 7}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

275 x 56 using long multiplication

Answers

Answer:

15400

Step-by-step explanation:

Hope it helps and I hope you have a nice day!!! :)

BRAINIEST is appreciated it would really help!!!

to put it in graphing form and then graphY=x^2-6x+3

Answers

We have the following:

[tex]\begin{gathered} y=x^2-6x+3 \\ f(x)=x^2-6x+3 \end{gathered}[/tex]

now, we must give values to x, to be able to graph

[tex]\begin{gathered} f(-2)=x^2-6x+3=(-2)^2-6\cdot-2+3=19 \\ f(-1)=x^2-6x+3=(-1)^2-6\cdot-1+3=10 \\ f(0)=x^2-6x+3=(0)^2-6\cdot0+3=3 \\ f(1)=x^2-6x+3=(1)^2-6\cdot1+3=-2 \\ f(2)=x^2-6x+3=(2)^2-6\cdot2+3=-5 \end{gathered}[/tex]

The grahp is:

jk has midpoint M(–17, 16.5) and endpoint K(–12, 4). What are the coordinates of endpoint J?

Answers

The coordinates of endpoint J which has the midpoint M(–17, 16.5) and endpoint K(–12, 4) is (-22,29)

Mid point:

Midpoint means the point that is in the middle of the line joining two points.

Given two points A (x)1, (y)1 and B (x)2, (y)2, the midpoint between A and B is given by,

M(x)3, (y)3 = [(x)1 + (x)2]/2, [(y)1 + (y)2]/2

where, M is the midpoint between A and B, and (x)3, (y)3 are its coordinates.

Given,

JK has midpoint M(–17, 16.5) and endpoint K(–12, 4).

Here we need to find the coordinates of endpoint J.

We know that formula of mid point through the given definition,

So let us consider

(x1, y1) = (a, b)

(x2, y2) = (-12,4)

Now we have to apply the values on the formula in order to solve it,

Therefore,

(-17, 16.5) = (a + (-12))/2 , (b + 4)/2

Compare the values individually, then we get,

-17 = (a - 12) / 2

-17 x 2 = a - 12

- 34 = a - 12

a = -34 + 12

a = -22

Similarly, when we take the second part,

16.5 = (b+4)/2

16.5 x 2 = b + 4

33 = b+ 4

b = 33 - 4

b = 29

Therefore, the coordinate end points of J is (-22, 29).

To know more about Mid point here.

https://brainly.com/question/11302835

#SPJ1

Calculate the variance and standard deviation ofthe samples, using the appropriate symbols to label each

Answers

To determine the variance of a sample we can use the following formula:

[tex]s^2=\frac{\sum(x_i-\bar{x})}{n-1},[/tex]

where

[tex]\bar{x}\text{ }[/tex]

is the mean of the dataset.

The standard deviation is the square root of the variance.

Recall that the mean of a dataset is the sum of the number divided by the number of numbers, therefore, the mean of the given dataset is:

[tex]\bar{x\text{ }}=\frac{50.0+51.5+53.0+53.5+54.0}{5}=52.4.[/tex]

Substituting the above result in the formula for the variance, we get:

[tex]s^2=2.675.[/tex]

Therefore, the standard deviation is:

[tex]s=1.6355427.[/tex]

Answer:

Variance:

[tex]s^2=2.675.[/tex]

Standard deviation:

[tex]s=1.6355427.[/tex]

what is math all about.

Answers

Mathematics is a branch of science that deals with numbers, quantities and shapes. It includes arithmetic, geometric, algebra, calculus and many more. It also refers to the study of relationship between numbers or items.

One example is counting numbers which we are using almost everyday in our life.

1, 2, 3, 4 and so on.

The formula A = P +Prt represents the relationshipbetween the principal, P, interest rate, r, and amount ofmoney, A, in an account over a period of time, t.Solve the equation for P.

Answers

Problem

The formula A = P +Prt

Solution

We can take common factor and we got:

A= P(1+rt)

And we can divide both sides by 1+rt and we got:

P = A /(1+rt)

Elijah earned a score of 64 on Exam A that had a mean of 100 and a standarddeviation of 20. He is about to take Exam B that has a mean of 600 and a standarddeviation of 40. How well must Elijah score on Exam B in order to do equivalentlywell as he did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Notation:

μ = mean

σ = standard deviation

Exam A:

[tex]\begin{gathered} \mu=100 \\ \sigma=20 \end{gathered}[/tex]

The score of the exam is 64, so we calculate the z-score given that scores on the exam are normally distributed. The formula of the z-score is:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

Now, for X = 64:

[tex]Z=\frac{64-100}{20}=-1.8[/tex]

Exam B:

[tex]\begin{gathered} \mu=600 \\ \sigma=40 \end{gathered}[/tex]

Now, we need to find a z-score equal to that of the score on Exam A. This z-score is -1.8, and the score on exam B should be:

[tex]\begin{gathered} -1.8=\frac{X-600}{40} \\ -72=X-600 \\ \therefore X=528 \end{gathered}[/tex]

The score on exam B should be 528 in order to do equivalently well as he did on Exam A

l need help with this please

Answers

Answer:

Step-by-step explanation:

y = 4 - 2x

Can you please show me how to check the answer to see if it is right.

Answers

We are given the equation;

[tex]-7=\sqrt[3]{9x-1}-3[/tex]

Collect like terms

[tex]\begin{gathered} -4=\sqrt[3]{9x-1} \\ (-4)^3=(\sqrt[3]{9x-1})^3 \\ -64=9x-1 \\ -63=9x \\ x=-7 \end{gathered}[/tex]

To check this, we insert the x value into the original equation, if it gives both sides equal, it is correct.

[tex]\begin{gathered} -7=\sqrt[3]{9x-1}-3 \\ -7=\sqrt[3]{9(-7)-1}-3 \\ -7=\sqrt[3]{-64}-3 \\ -7=-4-3 \\ -7=-7 \end{gathered}[/tex]

Therefore, the answer is -7

Find m

Which answer is correct

Answers

The value of angle EFG is 50°.

What is angle?

An angle results from the intersection of two straight lines or rays at a single terminal.

Angles' Components

Vertex: The intersection of two lines or sides at an angle is called a vertex.

Arms: The angle's two sides linked at a single end.

Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line.

∵ exterior angle = sum of opposite interior angles

∴ 7x+18 = (6x-10) + 38

7x + 18 = 6x +28

x = 10°

∴∠EFG = 6*10-10

  ∠EFG = 50°

Option (B) is correct answer.

To know more about angle please visit:

https://brainly.com/question/28451077

#SPJ13

What is the slope-intercept form(-2,-1),(-4,-3)

Answers

To solve the exercise, we can first find the slope of the line that passes through the given points using the following formula:

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}[/tex]

So, in this case, we have:

[tex]\begin{gathered} (x_1,y_1)=(-2,-1) \\ (x_2,y_2)=(-4,-3) \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{-3-(-1)}{-4-(-2)} \\ m=\frac{-3+1}{-4+2} \\ m=\frac{-2}{-2} \\ m=1 \end{gathered}[/tex]

Now, we can use the point-slope formula, and we solve for y:

[tex]y-y_1=m(x-x_1)\Rightarrow\text{ Point-slope formula}[/tex][tex]\begin{gathered} y-(-1)=1(x-(-2)) \\ y+1=x+2 \\ \text{ Subtract 1 from both sides of the equation} \\ y+1-1=x+2-1 \\ y=x+1 \end{gathered}[/tex]

Therefore, the equation of the line that passes through the points (-2, -1) and (-4, -3) in its slope-intercept form is:

[tex]$$\boldsymbol{y=x+1}$$[/tex]

A Native American tepee is a conical tent. Find the number of skins needed to cover a teepee 10 ft. in diameter and 12 ft. high. Each skin covers 15 sq. ft. (use = 3.14)

Answers

Since it is conical, we need to find the surface area of the top of the conical shape.

If we unfold the top part of the cone, we will have a section of a circle:

The circunference of this section is the same as the total circunference of the base of the cone, which we can get from its radius (half its diamtere):

[tex]C=2\pi r=2\pi\cdot\frac{D}{2}=2\pi\cdot\frac{10}{2}=10\pi[/tex]

If we visualize the cone by the side, we see that it forms a isosceles triangle which the same height and the base euqal to the diameter:

So, we can calculate "R", the radius of the unfolded cone, using the Pythagora's Theorem:

[tex]\begin{gathered} R^2=h^2+(\frac{D}{2})^2 \\ R^2=12^2+5^2 \\ R^2=144+25 \\ R^2=169 \\ R=\sqrt[]{169} \\ R=13 \end{gathered}[/tex]

The circunference of a section of a circle is the circunferece of the total circle times the fraction of the section represents of the total circle. Let's call ths fraction "f", this means that:

[tex]\begin{gathered} C_{total}=f\cdot C \\ C_{total}=2\pi R=2\pi\cdot13=26\pi \\ C=10\pi \\ f\cdot26\pi=10\pi \\ f=\frac{10\pi}{26\pi}=\frac{5}{13} \end{gathered}[/tex]

The area will follow the same, the area of the section is the fraction "f" times the total area of the circle, so:

[tex]\begin{gathered} A_{total}=\pi R^2=\pi13^2=169\pi \\ A=f\cdot A_{total}=\frac{5}{13}\cdot169\pi=65\pi\approx65\cdot3.14=204.1 \end{gathered}[/tex]

So, the surface area of the top of the cone is 204.1 ft². Since each skin covers 15 ft², we can calculate how many skins we need by dividing the total by the area of each skin:

[tex]\frac{204.1}{15}=13.60666\ldots[/tex]

This means that we need 13.60666... skins, that is, 13 is not enough, we need one more, so we need a total of 14 skins.

“K+273 gives the temperature in kelvins(K) for a given temperature in degrees Celsius.What is the temperature in kelvins when the temperature is 55 degrees Celsius?” Evaluate the expression

Answers

we have that

The temperature T in degrees Celsius (°C) is equal to the temperature T in Kelvin (K) minus 273.15

so

°C=K-273.15

For T=55°C

substitute

55=k-273.15

solve for k

k=55+273.15

K=328.15°

Solve the following problem. Give the equation using x as the variable, and give the answer.If 4 is added to five times a number, the result is equal to 7 more than four times the number. Find thenumber.Write the equation using x as the variable. Choose the correct equation below.O A. 4(5x) = 7(4x)O B. 5(x + 4) = 4(x + 7)O C. 5x + 4 = 7(4x)OD. 5x + 4 = 4x + 7O E. 4(5x) = 4x + 7The number is

Answers

Answer

[tex]\begin{gathered} D. \\ 5x+4=4x+7 \\ \text{The number is 3} \end{gathered}[/tex]

Explanation

The variable given is x

Five times the variable is 5x

When 4 is added, the expression becomes 5x + 4, which gives the Left Hand Side of the equation.

For the Right Hand Side, four times the number is 4x

7 more than 4x is 4x + 7

Since the result on the Left Hand Side = Right Hand Side, then the required equation is

[tex]5x+4=4x+7[/tex]

Now, to find the number x, we shall solve the above equation as follows

[tex]\begin{gathered} 5x+4=4x+7 \\ \text{Substract 4 from both sides} \\ 5x+4-4=4x+7-4 \\ 5x=4x+3 \\ \text{Substract 4x from both sides} \\ 5x-4x=4x+3-4x \\ x=3 \end{gathered}[/tex]

On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 meters long and the tree is 40 meters tall, how long is the shadow?

Answers

the length of the shadow is 30m

Explanation:

hypotenuse = 50m

height of tree = 40 m

To solve the question, we will use an illustration:

To get the length of the shadow, we will apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 50m, opposite = 40m

50² = 40² + shadow²

2500 = 1600 + shadow²

2500 - 1600 = shadow²

900 = shadow²

square root both sides:

[tex]\begin{gathered} \sqrt[]{900}\text{ = }\sqrt[]{shadow^2} \\ \text{shadow = 30 m} \end{gathered}[/tex]

Hence, the length of the shadow is 30m

Anyone know the question ?

Answers

The total commission earned by Paun is $14,000.

What is meant by the term commission?Full-service brokerages make the majority of their money by charging commissions on customer transactions.Commission-based advisors earn money by purchasing and selling a product on their clients' behalf.Commissions and fees differ in the financial services industry, where fees are a fixed amount for managing a customer's money.

For the given question.

The total sales done by Paun is $50,000.

There is commission of 25% on first $2000.

There is commission of 30% on remaining that is 48,000.

The total commission will be 25% of $2,000 and 30% of 48,000.

25% of $2,000 = 25 × 2000/100

25% of $2,000 = $500

30% of 48,000 = 30 × 48,000/100

30% of 48,000 = $14,400

Total commission = $500 + $14,400 = $14,900.

Thus, the total commission earned by Paun is $14,000.

To know more about the commission, here

https://brainly.com/question/2506992

#SPJ13

​(d) Find the domain of function R. Choose the correct domain below.

Answers

Answer:

last answer is right

( but x can be any number not just x>=0 )

standard form and contain only positive exponents 21c^10d^3+56c^6d^2-7c^2d------------------------------------------- 7c^2d

Answers

To solve this problem it is necessary to simplify the expression.

Step 1. Write the equation as a sum of homogeneous fractions:

[tex]\frac{21c^{10}d^3+56c^6d^2-7c^2d}{7c^2d}=\frac{21c^{10}d^3}{7c^2d}+\frac{56c^6d^2}{7c^2d}-\frac{7c^2d}{7c^2d}[/tex]

Step 2. Simplify the obtained expressions:

[tex]\begin{gathered} \frac{21c^{10}d^3}{7c^2d}=3c^8d^2 \\ \frac{56c^6d^2}{7c^2d}=8c^4d \\ \frac{7c^2d}{7c^2d}=1 \end{gathered}[/tex]

Step 3. Rewrite the expression using the simplified terms:

[tex]3c^8d^2+8c^4d-1[/tex]

What’s the correct answer? I need help now

Answers

The correct answer would be B verhornend did the most

I couldn’t fit all the answers on the screen but the fourth option is all positive numbers

Answers

Answer:

Alternative C - All real numbers.

Step-by-step explanation:

The domain of an function is the set of all possible numbers which x can assume.

As we can see, we have no restrictions for x.

So, the domain is all real numbers.

Answer: Alternative C - all real numbers.

If you would like to make $1323 in 7 years, how much would you have to deposit in an account that pays simple interest of 2%?

Answers

A = $13,366.37

A = P + I where

P (principal) = $10,000.00

I (interest) = $3,366.37

When Levi deposited $40 into his savings account, his bank statement showed the transaction as $40.
If the next transaction on his statement shows

$30, which of these describes the transaction?

Answers

The next transaction statement can be described through option A) Thirty dollars was withdrawn if the next transaction on his statement shows –$30.

What is a Transaction statement?

The term "Transaction Statement" refers to a statement that the lender may from time-to-time issue to any borrower, at the borrower's reasonable request or at the lender's option, listing the loans made, the inventory and accounts receivable they financed, as well as the terms and conditions of repayment.

A transaction can be said as a unit of work that is thus performed against a database. These transactions are units or mostly sequences of work that are accomplished in a logical order.

You can find your most recent statement via your bank branch because most banks allow you to generate statements through your online banking platform.

To know more about transactions, visit:

https://brainly.com/question/28390340

#SPJ9

Complete Question

When Levi deposited $40 into his savings account, his bank statement showed the transaction as $40.

If the next transaction on his statement shows –$30, which of these describes the transaction?

A) Thirty dollars was withdrawn

B) Money was neither deposited nor withdrawn

C) $30 was deposited

D) Seventy dollars was deposited

Businesses deposit large sums of money into bank accounts. Imagine an account with $10 million dollars in it.
a. How much would the account earn in one vear of simple interest at a rate of
2.12067 Round to the nearest cent.

Answers

Answer:
21,206,700

explanation:
10,000,000 x 2.12067 = ____
This would mean the interest rate is ^ for one year. I’m not sure if you mean interest over months but that’s what it is with one over a year.

Suppose you invest $5,000 at 4% annual interest. How much money would your investment be worth after 10 years? Round your answer to the nearest hundredth (2 places after the decimal).

Answers

The investment will be worth $7,401.22 after 10 years

Here, we want to calculate the amount the investment will be worth after 10 years

Mathematically, to get this, we will use the compound interest formula;

[tex]A\text{ = P(1 + }\frac{r}{n})^{nt}[/tex]

where A is the amount after 10 years

P is the amount invested which is $5,000

r is the interest rate which is 4%, same as 4/100 = 0.04

n is the number of terms yearly the investment will be compounded. Since the interest rate is annual, then the number of times it will be compounded yearly is 1

t is the number of years which is 10 in this case

Substituting these values, we have;

[tex]\begin{gathered} A\text{ =5000 (1 + }\frac{0.04}{1})^{1\times10} \\ \\ A=5000(1+0.04)^{10} \\ \\ A=5000(1.04)^{10} \\ \\ A\text{ = 7,401.22} \end{gathered}[/tex]

Other Questions
LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml y= 3x - 5 y= -6x + 4 HomeHattie stepped off the screeching subway train and lugged her possessions onto the escalator. When she finally emerged from underground, she got to the sidewalk and looked at the landscape. She was used to flatness and green; the farm that theyd just sold had cattle grazing as far as the eye could see. There was nothing green in sight here as cement behemoths sprung out of the ground taller than the stalks of corn back in Iowa. People zipped in front of her with briefcases tucked to their sides as high heels clacked on the pavement. It was all so overwhelming, so loud, and Hattie put her hands over her ears to shut out the sounds of the taxi horns and the thousand different conversations. Her little sister Evelyn didnt; she was trying to take it all in.Her mother pulled out a map from her purse and held it in shaky hands. According to this, our new home should be right here. Hattie traced her mothers index finger to a building that was so high that she had to crane her neck to see the top.This? Evelyn gasped.Her father, the man who was never at a loss for words, didnt say anything. He adjusted the weight of the three bags that contained most of the possessions theyd been able to bring on the three-hour plane journey that had uprooted them from their old lives and deposited them in New York City.Her father struggled to open the heavy front door, and when they were inside, the smell of hundreds of different meals clashed in her nose: spaghetti, fried chicken, fish, and curry. They stood in front of a bank of elevators as Evelyn pushed the button for the seventeenth floor. When they entered what would be their new home, Hattie spun around in tiny circles as her father gave them the grand tour.Here is where you and Evelyn will sleep, he announced. He pointed to a room that was half the size of the Iowa bedroom that was hers alone, the same Iowa bedroom where shed had all her sleepovers and whose walls still showcased the crayon scribbles from when she was a toddler. Shed tried to scrub them clean, but they were more stubborn than she was, so they would be there for the new family that would be moving in soon.Evelyn tried to sound excited. We get to share a room!Hattie was grateful for her younger sister, for the way that she could always look at the bright side of things. Hattie couldnt say anything in responseshed been speechless for most of the trip. Instead, she followed her father down the hallway that was narrow enough for one person to fit through, maybe two if they squeezed shoulder to shoulder.And here is where your mom and I will be. She could hear the forced excitement in her fathers voice for a move that he didnt want to make either. But theyd had to sell the farm, and when this opportunity presented itself, there had really been no choice.The tour was over as soon as it startedtiny kitchen, one bathroom, boxy living room. The four of them would be sharing an apartment that was smaller than the drafty old kitchen in the farmhouse.Without a word, they grabbed boxes and started about the business of unpacking in rooms that were inches away from one another rather than feet. Hattie walked over to a dirty square window in her new shared bedroom. She wiped it clean, hoping to see something that would remind her of Iowa, but the window only looked out onto more concrete and glass. A wave of sadness washed over herthe first crack in the numbness that shed been feeling for the past month since she found out about the move. She turned her back and lowered her head so Evelyn wouldnt see her, but then the sobs came, each louder than the previous one.There was a hand on her shoulder. She wanted to put the smile back on because she knew it would be better for Evelyn and everyone else that way, but she couldnt summon it now. She turned around and saw her blurry sister through tear-filled eyes. In front of her face, Evelyn was holding a folded-up picture of the whole family in front of the farmhouse.I miss it too, Evelyn began, but we dont have to forget it.Together, they taped the picture to the corner of the bedroom window so they could see it whenever they wanted. Hattie pulled Evelyn close, knowing that a place would never be as important as the people in it. An architect is designing a gazebo which base is a regular dodecagon. At what angle should he cut to frame the base? the positive difference between the product of 78 and 36 and their sum is 54=Pls help its due in 20 mins Find the unit rate. Enter your answer as a mixed number.A fertilizer covers 5/8 square foot in 1/6 hour.The unit rate is square feet per hour. requirement 1. prepare a schedule of depreciation expense, accumulated depreciation, and book value per year for the equipment under the three depreciation methods: straight-line, units-of-production, and double-declining-balance. show your computations. note: three depreciation schedules must be prepared. begin by preparing a depreciation schedule using the straight-line method. The location of magnetic north changes over time in its relation to true north. This angular difference between magnetic north and true north is called. A printer takes 5 seconds to print 3 pages. How many pages can it print in 125 seconds? Enter the answer in the box. A store sells cat food in 4-pound bags. The cat food cost 2 dollars per pound. What are the steps for using a compass and straightedge to construct an equilateral triangle? drag the steps and drop them in order from start to finish. joeita sees on her activity tracker that it took her 58 minutes to run 6.25 hours miles assuming she runs at the same pace how far can she run in 40 minutes? round to the nearest hundredth how far can she run in m minutes What is the THIRD WORD of this text? (In my________ and more vulnerable years...)HINT: Y_____R A simple random sample of 5 months of sales data provided the following information:Month: 1 2 3 4 5 Units Sold: 97 110 89 97 92 a. Develop a point estimate of the population mean number of units sold per month.b. Develop a point estimate of the population standard deviation (to decimals). Why might the government have allowed the famine to worsen? evaluate the expression 2(|3.46|1.8)2 1/2+(2)^3. The LD50 for Allura Red ingested for rats and rabbits is 10,000 mg/kg ( 10,00,g of Allura Red consumed per kg of a rats's or rabbit's mass proves lethal for 50% of test subject). Assuming the LD50 would be about the same for humans, use the results of your experiment to calculate how many candies if consumed in quick succession by a 150-lb.person could potentially kill the person. the segment margin is obtained by deducting the blank fixed costs of a segment from the segment's blank . multiple choice question. traceable; revenues common; revenues common; contribution margin traceable; contribution margin what would be the most important factors to consider for the network channel design