Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard? A = lw 11. 2 m 15. 8 m 22. 4 m 44. 8 m.

The value of x is 21° and y is 13°. The solution is obtained using the properties of parallel lines.

What are Parallel lines?

When two lines in a plane do not cross at any point, they are said to be parallel. In other words, lines that never cross paths with one another and do not have a common junction point are said to be parallel.

The characteristics of parallel lines with respect to transversal are listed below:

As shown in the figure, angles (2x+3)° and (6x+9)° denote the interior angles on the same side of the transversal.

Therefore, both the angles add upto 180°

So, (2x+3) + (6x+9)=180

8x+12=180

8x= 168

x= 21°

Also, angles (4y-7)° and (6x+9)° form a linear pair.

Therefore, both the angles add upto 180° and we know that x= 21°

So, (4y-7)+((6×21)+9)=180

4y+128=180

4y=52

y=13°

Hence, the value of x is 21° and y is 13°.

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Answer:

Sorry but where's the question

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Multiply all the points by 2.

oky oky oky oky oky oky

sana makatulonh

Answer:

divide the 413 by 4 = 1652 then divide that by 236.

you can do it in a calculator if that's useful

7 btw

The maximum error made is 0.046875.

a) To find the roots of the function f(x) = x^3 - 5x^2 + 17x + 21 using the Bisection method, we will start with an interval [a, b] such that f(a) and f(b) have opposite signs.

Then, we iteratively divide the interval in half until we reach the desired number of iterations or until we achieve a satisfactory level of accuracy.

Let's start with the interval [1, 4] since f(1) = -6 and f(4) = 49, which have opposite signs.

Iteration 1:

Interval [a1, b1] = [1, 4]

Midpoint c1 = (a1 + b1) / 2 = (1 + 4) / 2 = 2.5

Evaluate f(c1) = f(2.5) = 2.5^3 - 5(2.5)^2 + 17(2.5) + 21 = 2.375

Since f(a1) = -6 and f(c1) = 2.375 have opposite signs, the root lies in the interval [a1, c1].

Iteration 2:

Interval [a2, b2] = [1, 2.5]

Midpoint c2 = (a2 + b2) / 2 = (1 + 2.5) / 2 = 1.75

Evaluate f(c2) = f(1.75) = 1.75^3 - 5(1.75)^2 + 17(1.75) + 21 = -1.2656

Since f(a2) = -6 and f(c2) = -1.2656 have opposite signs, the root lies in the interval [c2, b2].

Iteration 3:

Interval [a3, b3] = [1.75, 2.5]

Midpoint c3 = (a3 + b3) / 2 = (1.75 + 2.5) / 2 = 2.125

Evaluate f(c3) = f(2.125) = 2.125^3 - 5(2.125)^2 + 17(2.125) + 21 = 0.2051

Since f(a3) = -1.2656 and f(c3) = 0.2051 have opposite signs, the root lies in the interval [a3, c3].

Iteration 4:

Interval [a4, b4] = [1.75, 2.125]

Midpoint c4 = (a4 + b4) / 2 = (1.75 + 2.125) / 2 = 1.9375

Evaluate f(c4) = f(1.9375) = 1.9375^3 - 5(1.9375)^2 + 17(1.9375) + 21 = -0.5356

Since f(a4) = -1.2656 and f(c4) = -0.5356 have opposite signs, the root lies in the interval [c4, b4].

Iteration 5:

Interval [a5, b5] = [1.9375, 2.125]

Midpoint c5 = (a5 + b5) / 2 = (1.9375 + 2.125) / 2 = 2.03125

Evaluate f(c5) = f(2.03125) = 2.03125^3 - 5(2.03125)^2 + 17(2.03125) + 21 = -0.1677

Since f(a5) = -0.5356 and f(c5) = -0.1677 have opposite signs, the root lies in the interval [c5, b5].

The maximum error made in the Bisection method can be estimated as half of the width of the final interval [c5, b5]:

Maximum error = (b5 - c5) / 2

Therefore, for the function f(x) = x^3 - 5x^2 + 17x + 21, using five iterations, the maximum error made is (2.125 - 2.03125) / 2 = 0.046875.

b) To find the roots of the function f(x) = 2x - cos(x), you can apply the Bisection method in a similar way, starting with an appropriate interval where f(a) and f(b) have opposite signs.

However, the Bisection method is not guaranteed to converge for all functions, especially when there are rapid oscillations or irregular behavior, as in the case of the cosine function.

In this case, it may be more appropriate to use other root-finding methods like Newton's method or the Secant method.

c) Similarly, for the function f(x) = x^2 - 5x + 6, you can use the Bisection method by selecting an interval where f(a) and f(b) have opposite signs. Apply the method iteratively to find the root and estimate the maximum error as explained in part a).

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The least possible number of adult men in the town is 100.

Given that in a certain town, 2/3 of the adult men are married to 3/5 of the adult women. Also, we have to assume that all marriages are monogamous (no one is married to more than one other person). Thus, we have to determine the least possible number of adult men in the town. Let us solve this question using the following steps: Let the total number of adult men in the town be x. Since 2/3 of adult men are married, the number of married men in the town = 2/3x. Also, the remaining number of unmarried men = x - 2/3x = 1/3x.According to the question, 3/5 of adult women are married to 2/3 of adult men.

Thus, we have to assume that there are 2/3x married men and 3/5 of women are married. Therefore, the number of married women in the town = 3/5 × total number of women Number of women = Total number of men × 3/2 (since, 3/5 of women are married to 2/3 of men)Number of women = x × 3/2 × 3/5 = 9/10x∴ Number of married women in the town = 3/5 × 9/10x = 27/50x Since all marriages are monogamous, the number of married men and women in the town should be equal. 2/3x = 27/50x2/3 * 50 = 27/50 * x(2/3 * 50)/(27/50) = x=100 Therefore, the least possible number of adult men in the town is 100.

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Step-by-step explanation:

The answer is 254.57142857

Answer:

1

Step-by-step explanation:

\( \frac{2}{3} \div - 4 - ( \frac{1}{6} - \frac{8}{6} )\)

\( - \frac{2}{3} \times \frac{1}{4} - ( - \frac{7}{6} )\)

\( - \frac{1}{3} \times \frac{1}{2} + \frac{7}{6} \)

\( - \frac{1}{6} + \frac{7}{6} \)

\(\boxed{\green{= 1}}\)

Answer:

h=9

Step-by-step explanation:

54=1/2(12)h

54=6h

9=h

Awser: so it is 94

Step-by-step explanation: you have to add the numbers together

Answer:

90.00%

Step-by-step explanation:

Answer:

90% is quarters

Answer:

An equivalent ratio can be 14:24.

Step-by-step explanation:

To summarize: If points a and b are in a straight line, the distance traveled and the displacement will be the same. If points a and b are not in a straight line, the distance traveled will be greater than the displacement.

The distance traveled refers to the total length covered during the journey, regardless of the direction taken. On the other hand, displacement refers to the change in position from the starting point to the ending point, taking into account the direction of travel.

Neglecting the curvature of the corners implies that the path taken is a straight line. In this case, the distance traveled and the displacement will be the same if the points a and b are in a straight line.

If points a and b are not in a straight line, then the distance traveled will be greater than the displacement. This is because the distance traveled considers the entire path covered, while displacement only considers the change in position.

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Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)

Answer:

1/4

Step-by-step explanation1/4

Answer:

4 hours

Step-by-step explanation:

I did it on edg2020. Hope this helps

Answer: The last one

Step-by-step explanation:

Answer:

D. 4th Option.

Explanation:

The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.

Answer:

The table on the right, the green table, is the one that shows a proportional relationship

Step-by-step explanation:

The failure of beta cells to function can result in a condition called diabetes mellitus.

Beta cells are specialized cells located in the pancreas that produce and release insulin. A hormone responsible for regulating blood sugar levels. When beta cells fail to function properly, it can lead to two main types of diabetes:

1. Type 1 Diabetes: In this autoimmune disease, the immune system mistakenly attacks and destroys the beta cells in the pancreas, resulting in little to no insulin production.

Without sufficient insulin, glucose (sugar) cannot enter the body's cells for energy, leading to high blood sugar levels.

2. Type 2 Diabetes: This form of diabetes is characterized by insulin resistance, where the body's cells become less responsive to the effects of insulin.

Over time, the beta cells may also fail to produce enough insulin to compensate for the increased demand. Type 2 diabetes is often associated with factors such as obesity, sedentary lifestyle, and genetic predisposition.

The failure of beta cells to function properly disrupts the normal regulation of blood sugar, leading to elevated glucose levels and potential complications associated with diabetes.

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Answer:

2

Step-by-step explanation:

(16⁷)^(1/28)

(16)^(7/28)

(16)^(1/4)

(2⁴)^(1/4)

(2)^(4/4)

2¹

= 2

The rate of simple interest is 0.05, which is equivalent to 5% when expressed as a percentage.

To calculate the rate of simple interest, we can use the formula:

Interest = Principal * Rate * Time

Given that Hilaria borrowed $8,000 and paid back $1,600 in interest after four years, we can set up the equation:

$1,600 = $8,000 * Rate * 4

Divide both sides of the equation by $8,000 * 4

$1,600 / ($8,000 * 4) = Rate

Simplifying the equation: 0.05 = Rate

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Answer:The probability that the frog will escape without being eaten by the snake is

What is Markov Process?

A Markov chain or Markov process is a stochastic model that depicts a series of potential occurrences where each event's likelihood is solely determined by the state it reached in the preceding event.

First, take notice that the frog has a probability of 1/2 of finally being eaten by the snake once it is on pad 5, and a probability of 1/2 of eventually emerging from the pond unharmed. Therefore, all that needs to be determined is the probability that the frog on pad 1 will make it to pad 5 without being eaten.

Consider the frog’s jumps in pairs. The frog on pad 1 will advance to pad 3 with probability  will be back at pad 1 with probability

s

÷     and the probability that it ultimately makes it to pad 0 is  ÷ .Similarly, in a pair of jumps the frog will advance from pad 3 to pad 5 with probability , will be back at pad 3 with probability .

Because the frog will ultimately make it to pad 5 or pad 1 from pad 3, the probability that it ultimately makes it to pad 5 is  ÷  and the probability that it ultimately makes it to pad 1 is  ÷

The series of steps that must be made in pairs for the frog to get to pad 5 without being eaten is

1 → 3 → 5, 1 → 3 → 1 → 3 → 5, 1 → 3 → 1 → 3 → 1 → 3 → 5 and so on.

The sum of the respective probabilities of reaching pad 5 is then

÷

Therefore the requested probability is

Answer:

503.8

Step-by-step explanation:

Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.

Answer:

503.8

Step-by-step explanation:

Answer:

i think its a. 13

Step-by-step explanation:

ok, so with the angles we are given, its an equalateral triangle. (all angles are 60*) with this we know everything is equal to each other. so if thats the case, it should be 13

Answer:

Y = C/h+ K

Step-by-step explanation:

hope that helps>3

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-3, 4) and (1, -3)

x changes by +4 (from -3 to 1)

y changes by -7 (from 4 to -3)

the slope is therefore -7/+4 = -7/4

Answer:

Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.