i don’t know the answer please help

I Dont Know The Answer Please Help

Answers

Answer 1
It’s 60 why cus I know it’s 60

Related Questions

A circle is inscribed in an isosceles trapezoid with bases of 8 cm and 2 cm. Find the probability that a randomly selected point inside the trapezoid lies on the circle

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Given that a circle is inscribed in an isosceles trapezoid with bases of 8 cm and 2 cm. We need to find the probability that a randomly selected point inside the trapezoid lies on the circle.

The isosceles trapezoid is shown below: [asy] draw((0,0)--(8,0)--(3,5)--(1,5)--cycle); draw((1,5)--(1,0)); draw((3,5)--(3,0)); draw((0,0)--(1,5)); draw((8,0)--(3,5)); draw(circle((2.88,2.38),2.38)); label("$8$",(4,0),S); label("$2$",(1.5,5),N); [/asy]Let ABCD be the isosceles trapezoid,

where AB = 8 cm, DC = 2 cm, and AD = BC.

Since the circle is inscribed in the trapezoid, we can use the following formula:2s = AB + DC = 8 + 2 = 10 cm

Where s is the semi-perimeter of the trapezoid. Also, let O be the center of the circle. We can draw lines OA, OB, OC, and OD as shown below: [asy] draw((0,0)--(8,0)--(3,5)--(1,5)--cycle); draw((1,5)--(1,0)); draw((3,5)--(3,0)); draw((0,0)--(1,5)); draw((8,0)--(3,5)); draw(circle((2.88,2.38),2.38)); label("$A$",(0,0),SW); label("$B$",(8,0),SE); label("$C$",(3,5),N); label("$D$",(1,5),N); label("$O$",(2.88,2.38),N); label("$8$",(4,0),S); label("$2$",(1.5,5),N); draw((0,0)--(2.88,2.38)--(8,0)--cycle); label("$s$",(3,0),S); label("$s$",(1.44,2.38),E); [/asy]Since O is the center of the circle, we have:OA = OB = OC = OD = rwhere r is the radius of the circle.

Also, we have:s = OA + OB + AB/2 + DC/2s = 2r + 2s/2s = r + 5 cmWe can solve for r:r + 5 cm = 10 cmr = 5 cmNow that we know the radius of the circle, we can find the area of the trapezoid and the area of the circle.

Then, we can find the probability that a randomly selected point inside the trapezoid lies on the circle as follows:Area of trapezoid = (AB + DC)/2 × height= (8 + 2)/2 × 5= 25 cm²Area of circle = πr²= π(5)²= 25π cm²Therefore, the probability that a randomly selected point inside the trapezoid lies on the circle is:

Area of circle/Area of trapezoid= 25π/25= π/1= π

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The probability that a randomly selected point inside the trapezoid lies on the circle is 0.399 or 39.9%. Therefore, option (A) is the correct answer.

The circle is inscribed in an isosceles trapezoid with bases of 8 cm and 2 cm.

Inscribed Circle of an Isosceles Trapezoid

Therefore, the length of the parallel sides (AB and CD) is equal.

Let the length of the parallel sides be ‘a’. Then, OB = OD = r (let)

It is also given that the lengths of the parallel sides of the trapezoid are 8 cm and 2 cm.

Then, its height is given by:

h = AB - CD / 2 = (8 - 2) / 2 = 3 cm

Therefore, the length of the base BC of the right-angled triangle is equal to ‘3’.

Then, the length of the other side (AC) can be given as:

AC = sqrt((AB - BC)² + h²) = sqrt((8 - 3)² + 3²) = sqrt(34) cm

The area of the trapezoid can be calculated as follows:

Area of the trapezoid = 1/2 (sum of the parallel sides) x (height)A = 1/2 (8 + 2) x 3A = 15 sq. cm.

The area of the circle can be given by:

Area of the circle = πr²πr² = A / 2πr² = 15 / (2 x π)

Therefore, r² = 2.39

r = sqrt(2.39) sq. cm.

Now, the probability that a randomly selected point inside the trapezoid lies on the circle can be calculated by dividing the area of the circle by the area of the trapezoid:

P (point inside the trapezoid lies on the circle) = Area of the circle / Area of the trapezoid

P = πr² / 15

P = π (2.39) / 15

P = 0.399 or 39.9%

The probability that a randomly selected point inside the trapezoid lies on the circle is 0.399 or 39.9%.

Therefore, option (A) is the correct answer.

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Can someone state the range of this function pleaseee?

Answers

Answer:

Range = [0, ∞)

Step-by-step explanation:

Range is the y-values

For this question y starts at 0 and just continually goes up so:

Range = [0, ∞)

Find the value of X for which the following fraction is undefined
2x²+x-15
________
2/3x²-6

Answers

Answer: ±√2

Step-by-step explanation: A fraction is undefined when its denominator is =0 or undefined. so we need to get 2/3x²-6=0 or undefined. so we can also do 3x^2-6=0. Solving yields ±√2!

Write a function trapezium_integrator(f, start, end, num_traps) that uses the Trapezium Rule to evaluate the integral ∫endstartf(x)dx where f, start, and end are defined in the formula above, and num_traps is the number of trapeziums that the integration interval should be divided into.

Notes:

You may assume num_traps >= 1
Hint: This should be a simple modification of your code from the last question.
We are still expecting you to compute the width of each trapezium and then use a for loop to solve this problem, iterating over the trapeziums to sum their areas. A more efficient approach, using numpy and avoiding any explicit loops, is the topic of one of the challenge questions.

Answers

The function trapezium_integrator uses the Trapezium Rule to approximate the value of a definite integral. It takes four parameters: f, which represents the function to be integrated, start and end, which specify the interval of integration, and num_traps, the number of trapeziums used to approximate the integral.

In the Trapezium Rule, the interval of integration is divided into multiple trapeziums of equal width. The area of each trapezium is calculated as the sum of the lengths of its parallel sides divided by 2, multiplied by its height (the difference between the function values at the two endpoints of the trapezium). The areas of all trapeziums are then summed to obtain an approximation of the integral.

The function calculates the width of each trapezium by dividing the interval length by the number of trapeziums. It then uses a for loop to iterate over the trapeziums, accumulating their areas. The final result is returned as the approximation of the integral.

By dividing the interval into smaller trapeziums, the Trapezium Rule provides a reasonably accurate estimate of the integral. However, for highly oscillatory or irregular functions, a large number of trapeziums may be required to achieve sufficient accuracy. In such cases, more sophisticated numerical integration methods may be more appropriate.

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A type of origami paper comes in 15 cm by 15 cm
square sheets. Hilary used two sheets to make the
origami dog. What is the total area of the origami
paper that Hilary used to make the dog?

Answers

Answer:

150 cm squared

Step-by-step explanation:

I guess that's the answer if I'm wrong you can tell me right away so that I can try another method thank you.

What is the range for the following data?
52, 32, 61, 82, 63

Answers

Answer:

The range would be 50.

Step-by-step explanation:

Range is found by putting a list or set of numbers in order, then subtracting the lowest number from the highest.

32, 61, 63, 52, 82

82 - 32 = 50

44% of what number is 400?

Answers

Answer:

909.09

Step-by-step explanation:

400 divided by 44% is about 909.09.

909 !!!!!!!!!!!!!!!!!!!!!

Find the zeros of the following quadratic functions.
3) x2 + 5x + 6 = 0

Answers

the zeros are x= -6 & x= 1

What is the simplified form of the following expression? Assume x>0. 4 square root 3 over 2x

Answers

Answer:

the answer is B)

4√24x^3/2x

Solution:

The answer is B

Step-by-step explanation:

I just took the test.

ht
Which of the following is an equivalent expression to the expressione,
А
B
D
ANSWER QUICK PLZ

Answers

Answer A is your correct answer

Bases are 6 and 10 the height is 4 whats the area of the trapszoid

Answers

Answer:

here,hope this helps : )

Step-by-step explanation:

Answer: A= 32

a (Base) 6

b (Base) 10

h (Height) 4

Step-by-step explanation: A=a+b

2h=6+10

2·4=32    I really hoped this helped

how do you solve for the x ?

Answers

Answer:

x = -8

Step-by-step explanation:

these angles are vertical, therefore they are equal

x + 78 = 70

x = -8

According to a 2014 poll by the American Academy of Ophthalmology, Americans break down like this when it comes to eye color:

• Brown eyes: 45 %

• Blue eyes: 27 %

• Hazel eyes: 18%

• Green eyes: 9%

• Other: 1%

Consider a random group of 20 American people. Let a random variable X be the number of Americans in this group with green eyes.

(a) Argue that this is a binomial experiment.

(b) Find the probability that

i. None have green eyes

ii. Nine have green eyes

iii. At most three have green eyes

iv. At least four have green eyes

v. If four people out of twenty have green eyes. Is it unusual?

(c) What is the mean and standard deviation of this distribution?

Answers

This is a binomial experiment because it meets all the necessary conditions: a fixed number of trials (20 people in the group), independence of each trial (assuming eye color is independent), two possible outcomes (green eyes or not), a constant probability of success (9% for having green eyes), and the random variable representing the count of successes (number of Americans in the group with green eyes, denoted as X).

To argue that this is a binomial experiment, we need to check if the following conditions are met:

1. The experiment consists of a fixed number of trials: In this case, we are considering a fixed number of trials equal to 20, as we have a random group of 20 American people.

2. Each trial is independent: We assume that the eye color of each person in the group is independent of the others.

3. There are only two possible outcomes for each trial: The outcomes are either having green eyes or not having green eyes.

4. The probability of success is constant for each trial: The probability of an American having green eyes is fixed at 9% for each individual in the population.

5. The random variable X represents the count of successes: In this case, X represents the number of Americans in the group with green eyes.

Since all these conditions are satisfied, we can conclude that this is a binomial experiment.

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Find the solution to the linear system of differential equations { 146 +24y 12x + 20y satisfying the initial conditions X(0) = 3 and Y(0) = 3. x(t)=__ y(t)=__

Answers

Therefore, the solution to the given system of differential equations, with the initial conditions x(0) = 3 and y(0) = 3, is:

x_(t) = 146t + 24yt + 3

y_(t) = (876t + 21) / ((-144) - 10t)

To solve the given linear system of differential equations, let's rewrite the system in a more standard form:

dx/dt = 146 + 24y

dy/dt = 12x + 20y

We'll use the initial conditions x_(0) = 3 and y_(0) = 3 to find the specific solution.

To solve the system, we can use the method of integrating factors.

Solve the first equation:

dx/dt = 146 + 24y

Rearrange the equation to isolate dx/dt:

dx = (146 + 24y) dt

Integrate both sides with respect to x:

∫dx = ∫(146 + 24y) dt

x = 146t + 24yt + C_(1) ---(1)

Solve the second equation:

dy/dt = 12x + 20y

Rearrange the equation to isolate dy/dt:

dy = (12x + 20y) dt

Integrate both sides with respect to y:

∫dy = ∫(12x + 20y) dt

y = 6x + 10yt + C_(2) ---(2)

Now, we'll apply the initial conditions x_(0) = 3 and y_(0) = 3 to find the values of C_(1) and C_(2).

From equation (1), when t = 0, x = 3:

3 = 146(0) + 24(3)(0) + C_(1)

C_(1) = 3

From equation (2), when t = 0, y = 3:

3 = 6(0) + 10(3)(0) + C_(2)

C_(2) = 3

Now, substituting the values of C_(1) and C_(2) back into equations (1) and (2), we get:

x = 146t + 24yt + 3

y = 6x + 10yt + 3

Simplifying further:

x = 146t + 24yt + 3

y = 6(146t + 24yt + 3) + 10yt + 3

x = 146t + 24yt + 3

y = 876t + 144y + 18 + 10yt + 3

x = 146t + 24yt + 3

y - 154y - 10yt = 876t + 18 + 3

(-144y) - 10yt = 876t + 21

y = (876t + 21) / (-144 - 10t)

Therefore, the solution to the given system of differential equations, with the initial conditions x(0) = 3 and y(0) = 3, is:

x_(t) = 146t + 24yt + 3

y_(t) = (876t + 21) / ((-144) - 10t)

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Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14

Answers

Answer:

[tex](g*f)(x) = 34[/tex]

Step-by-step explanation:

For sake of clarity, [tex](g * f)(x) = g(f(x))[/tex]

First, find [tex]f(1)[/tex]

[tex]f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4[/tex]

Then, take what you got for [tex]f(1)[/tex] and plug that into [tex]g(x)[/tex].  In this case, [tex]f(1) = -4[/tex]

[tex]g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34[/tex]

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Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium

Answers

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A:  The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B  and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

A seventh-grade class raised $380 during a candy sale. They deposited the money in a savings account for 6 months. If the bank pays 5.3% simple interest per year, how much money will be in the account after 6 months?

Answers

Answer: You want to calculate the interest on $380 at 5.3% interest per year after .5 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $380.00.

r is the interest rate, 5.3% per year, or in decimal form, 5.3/100=0.053.

t is the time involved, 0.5....year(s) time periods.

So, t is 0.5....year time periods.

To find the simple interest, we multiply 380 × 0.053 × 0.5 to get your answer.

Step-by-step explanation:

Isaiah is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
What is the surface area of the box, in square meters, that
Isaiah decorates

Answers

Answer:

389.19 m²

Step-by-step explanation:

The surface area of the box = area of the two equal triangles + area of the 3 different rectangles

✔️Area of the two equal triangles:

Area = 2(½*base*height)

base = 7 m

height = 8 m

Area of the two triangles = 2(½*7*8) = 56 m²

✔️Area of rectangle 1:

Area = Length*Width

L = 13 m

W = 7 m

Area of rectangle 1 = 13*7 = 91 m²

✔️Area of rectangle 2:

L = 13 m

W = 8 m

Area of rectangle 2 = 13*8 = 104 m²

✔️Area of rectangle 3:

L = 13 m

W = 10.63 m

Area of rectangle 3 = 13*10.63 = 138.19 m²

✅Surface Area of the box = 56 + 91 + 104 + 138.19 = 389.19 m²

Find the median of the data.

93,81,94,71,89,92,94,99

Answers

Answer: 92.5

So to find median all we have to do is rearange it from low - high and get the middle number

71  81  89  92  93  94  94  99

So take this and you know the middle is right in between 92 and 93

71  81  89  92      |      93  94  94  99

All you have to do then is take the mean of 92 and 93 (so do [92+93]/2)

Answer is 92.5

Can someone help me on this

Answers

Answer:

Y = 10 I believe

Step-by-step explanation:

To solve this we need to find what number, times 6, equals 18 - it's fairly easy to find the answer is three.

So what, minus seven, equals 3?

QUICK! Giving brainliest to correct answer

Answers

Answer:

Dominos is the better deal.

In this situation dominos is the better deal.

How do you turn 5/2 into 10/4?

Answers

That’s easy. To turn 5/2 into 10/4 you multiply by 2. :D Hope this helps!

Answer:

YOU DO IT X 2

Step-by-step explanation:

Point (2.-3) on glx) is transformed by -g[4(x+2)]. What is the new point? Show your work

Answers

After considering the given data we conclude that the new point generated is (2,3), under the condition that g(x) is transformed by [tex]-g[4(x+2)][/tex].

To evaluate the new point after the transformation of point (2,-3) by -g[4(x+2)], we can stage x=2 and g(x)=-3 into the expression [tex]-g[4(x+2)][/tex]and apply  simplification to get the new y-coordinate. Then, we can combine the new x-coordinate x=2 with the new y-coordinate to get the new point.
Stage x=2 and g(x)=-3 into [tex]-g[4(x+2)]:[/tex]
[tex]-g[4(2+2)] = -g = -(-3) = 3[/tex]
The new y-coordinate is 3.
The new point is (2,3).
Hence, the new point after the transformation of point (2,-3) by [tex]-g[4(x+2)][/tex] is (2,3).
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i’m lost on this help would be nice

Answers

Answer:

3x - 4 = 14

+4. +4

3x = 18

÷3. ÷3

x = 6

Which point on the graph represents the y-intercept?


Answers

W . The point was placed on the Y-intercept

Central Airlines claims that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming, is $605. This claim is being challenged by the Association of Travel Agents, who believe the median price is less than $605. A random sample of 25 round-trip tickets from Chicago to Jackson Hole revealed 11 tickets were below $605. None of the tickets was exactly $605. State the null and alternate hypotheses.

Answers

Null hypothesis is that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is $605. Alternative hypothesis is that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is less than $605.

The median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is $605.

The median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is less than $605.As per the given question, Central Airlines claims that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is $605. But, this claim is being challenged by the Association of Travel Agents, who believes that the median price is less than $605. Hence, we need to test whether the median price is less than $605 or not.Hence,Null hypothesis is that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is $605. Alternative hypothesis is that the median price of a round-trip ticket from Chicago, Illinois, to Jackson Hole, Wyoming is less than $605.

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In 3^6, 6 is called ___.



base


exponent

Answers

The answer is B, Exponent

Step-by-step explanation:

the correct answer is exponent because 6 is its power.

hope this answer will help u.

have a great time.

Rewrite the expression using a DIVISION SYMBOL: "The quotient of m and 7."

Answers

Answer:

m ÷ 7

Step-by-step explanation:

"Quotient" means you're dividing, so this just means you're dividing m by 7.

7. An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Using a .05 level of significance test the claim that the proportion is at least 34%.

Answers

The calculated value of z = 2.80 > the Critical value of z = -1.645, we reject the null hypothesis.

Hence, the claim that the proportion is at least 34% is rejected.

Therefore, the researcher's claim is true that the figure is higher for fathers in Littleton.

Null hypothesis:

H0: p ≥ 0.34

Alternative hypothesis:

Ha: p < 0.34

where:p = proportion of Littleton fathers who do not help with childcare

Here, the level of significance, α = 0.05

Level of significance = α = 0.05

The test statistics for a proportion is given as z-test.  

The formula for calculating z-score for a proportion is: z = (p - P) / sqrt[P(1 - P) / n]

where:

P = Population proportion

p = Sample proportion

n = Sample size

The calculated value of z-statistics can be compared with the critical value of z-score from the standard normal distribution table at a particular level of significance.

If the calculated value of z is greater than the critical value of z, then we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

Calculating the z-statistic:

Here, Sample size n = 225

Sample proportion

p = 97/225

= 0.4311

Population proportion

P = 0.34z

= (p - P) / sqrt[P(1 - P) / n]z

= (0.4311 - 0.34) / sqrt[(0.34)(0.66) / 225]z

= 2.80

Since the alternative hypothesis is one-tailed (Ha: p < 0.34), the critical value of z at α = 0.05 can be found as follows:

The critical value of z = zα

= -1.645

Since the calculated value of z = 2.80 > the Critical value of z = -1.645, we reject the null hypothesis.

Hence, the claim that the proportion is at least 34% is rejected.

Therefore, the researcher's claim is true that the figure is higher for fathers in Littleton.

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HELP



4(x-2+y)=???????

Answers

Answer:

4+4−8

Step-by-step explanation:

Other Questions
Can some plz help me how to plan remaining ty sales's months by using ly monthly sales builds What needs are not being met by a slow-moving or busy line at a school cafeteria? Identify the people, processes, and technologies that play a role in the issue you identified. Context Imagine you are an economic consultant engaged by the Australian Prime Minister to advise him and the Cabinet in a 15-minute presentation on the following. "The newly elected Prime Minister, Anthony Albanese, proposed the following aged care package in his reply as Leader of the Opposition to the 2022-23 Federal Budget: Every aged care facility is required to have a registered, qualified nurse on site, 24 hours a day, 7 days a week. Every Australian living in aged care gets at least 215 minutes of care per day. Support for the aged care workers' pay case in the Fair Work Commission, and a commitment to fund the outcome. (Note: The previous Coalition government declined to support aged care workers' case of a 25% pay rise referred to by the Labor Party.) Better food for aged care residents Accountability: more powers for the Aged Care Safety Commissioner and a requirement for aged care providers to report publicly what they are spending money on. Instructions Your presentation should cover the following aspects: a) The impact of Labor's proposed aged care package on the demand of aged care services: (i) changes in demand; (ii) changes in quantities demanded, in the short-run, and in the long run, respectively. b) The impact of Labor's proposed aged care package on the supply of aged care services: (i) changes in supply; and (ii) changes in quantities supplied, in the short-run and in the long-run, respectively. c) The impact of the proposed aged care reform on employment in the aged care sector and flow-on effects on other sectors (be specific on these sectors) based on your analysis in a) and b). d) The "winners" and the "losers" in the aged care reform as recommended by the Royal Commission, from the perspective of business activities, in view of your analysis in a), b) and c). 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Based on this sample, which of the following is a 99 % 99%99, percent confidence interval for the mean length (in minutes) of the songs on her phone? When did the seven years war occur collusion is more difficult to sustain when firms revert to thea) cournot equilibrium during the punishment phaseb) Bertram equilibrium during the punishment phase = 10. Determine the number of zeros of the function f(x) = 24 223 + 922 +2 1 in the disk D[0,2]. What keeps the Earth orbiting on its current pathin our solar system? swann company sold a delivery truck on april 1, 2016. swann had acquired the truck on january 1, 2012, for $40,500. at acquisition, swann had estimated that the truck would have an estimated life of 5 years and a residual value of $3,000. at december 31, 2015, the truck had a book value of $10,500. required: 1. prepare any necessary journal entries to record the sale of the truck, assuming it sold for: a. $9,875 b. $7,275 2. how should the gain or loss on disposal be reported on the income statement? 3. assume that swann uses ifrs and sold the truck for $9,875. in addition, swann had previously recorded a revaluation surplus related to this machine of $5,000. what journal entries are required to record the sale? Find the equation y = Bo + B12 of the least-squares line that best fits the data points: (1, 0), (2, 1), (4, 2), (5,3). a bacterial gene (gene a) ordinarily makes a protein that binds to dna. a mutation of gene a causes an increase in the expression of gene b. we can conclude that he mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 125 adult males, the mean pulse rate is 69.3 bpm and the standard deviation is 10.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. b. Identify the null and alternative hypotheses. There used to be a place called Centralia, Pennsylvania. The town incorporated in the 1860s and once had several thousand residents, largely coal workers. But the story of its demise begins a century later in 1962. That year, a trash burning fire was lit in the pit of the old abandoned coal mine outside of town. The fire moved down the mineshaft and ignited a vein of coal. It is still burning. For more than twenty years, people tried to extinguish the underground fire, but no matter what they did, it returned. There was little government action, and people had to abandon their homes as toxic gases engulfed the area and sinkholes developed. In 1983, engineers studying the fire concluded that it could burn for ________________ and could spread over nearly 4,000 acres. A pentagon $abcde$ is translated north by 40 units to pentagon $a_1 b_1 c_1 d_1 e_1. $ pentagon $a_1 b_1 c_1 d_1 e_1$ is then translated east by 50 units to pentagon $a_2 b_2 c_2 d_2 e_2. $ we know the perimeter of pentagon $abcde$ is 30 units. Find $cc_2. $ In the United States was ratified by the first States in the year .