Use the image to determine the line of reflection.

An image of polygon VWYZ with vertices V at negative 7, negative 2, W at negative 7, negative 4, Y at negative 1, negative 4, and Z at negative 1, negative 2. A second polygon V prime W prime Y prime Z prime with vertices V prime at 11, negative 2, W prime at 11, negative 4, Y prime at 5, negative 4, and Z prime at 5, negative 2.

Reflection across the x-axis
Reflection across the y-axis
Reflection across y = −2
Reflection across x = 2

Answers

Answer 1

An image of polygon VWYZ has a line of reflection across the x-axis. So option A is correct.

What is the line of reflection?

In geometry, the line of reflection is the line over which a figure is reflected. When a point is reflected over a line, it moves the same distance on the opposite side of the line. The line of reflection is perpendicular to the figure at the point of reflection and is equidistant from the figure and its reflection.

What is a polygon?

A polygon is a closed two-dimensional shape with straight sides. The sides are line segments that intersect only at their endpoints, called vertices. Polygons can have any number of sides, but they must have at least three. Common examples of polygons include triangles, squares, rectangles, pentagons, hexagons, and octagons.

What is the formula for the line of reflection?

The formula for the line of reflection in a Cartesian coordinate system is:

x = a

where a is the equation of the line of reflection.

This formula represents a vertical line that passes through the point (a, 0) and reflects points across the line of reflection to their corresponding images on the other side.

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Answer 2

Answer:

reflection across x=2

Step-by-step explanation:

the picture should be able to explain itself! :)))

Use The Image To Determine The Line Of Reflection.An Image Of Polygon VWYZ With Vertices V At Negative

Related Questions

1.) Write a48 as a product of two powers with the same
base in four different ways. Only use positive exponents.

Answers

The given exponents term can be written in the form of [tex](a^{4})^{12}[/tex] .

What about exponents?

Exponents are a mathematical operation that involves multiplying a base number by itself a certain number of times. Exponents are often referred to as powers, and the base number is raised to a power, which is usually represented by a superscript number. For example, 2^3 means 2 raised to the power of 3, which is 2 x 2 x 2 = 8.

Exponents are commonly used in many areas of mathematics, including algebra, calculus, and geometry. They are used to represent very large or very small numbers, to simplify calculations, and to express repeated multiplication in a more compact form. Exponents can also be negative or fractional, allowing for the representation of roots and other mathematical concepts.

According to the given information:

In the given question [tex](a^{48} )[/tex] can be written as,

[tex](a^{4})^{12}[/tex] = [tex](a^{4})^{12} = a^{48}[/tex]

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Find the circumference of a circle with a radius of 31 1/2
yards. Use 3.14 for π. Write your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Circle

Solve for circumference

C≈977.04

Radius

155.5

Solution

C=2πr=2·π·155.5≈977.03532 = 977.03

Answer:

977.03

Step-by-step explanation:

C=2πr=2·π·155.5≈977.03532 = 977.03

In a 30°-60°-90° triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Answers

10cm. Hypotenuse is equal to twice the length of shorter leg

PLEASE HELP MEE!!!!! I REALLY NEED TO PASS, 100 POINTS!!!

Answers

Answer:

Step-by-step explanation:

i believe it is nearly as hard as my usual amount of challenge

A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro​

Answers

Let the cost of a pencil be "x" and the cost of a biro be "y".

From the first statement, we can write:

2x + 3y = 50 ...(1)

Similarly, from the second statement, we can write:

3x + 4y = 70 ...(2)

We now have two equations with two unknowns. We can solve for x and y using elimination or substitution method. Let's use the elimination method:

Multiplying equation (1) by 3 and subtracting it from equation (2) multiplied by 2, we get:

(2)(3x + 4y) - (3)(2x + 3y) = (70)(2) - (50)(3)

Simplifying, we get:

2x + 5y = 40 ...(3)

Now we have two equations with two unknowns:

2x + 3y = 50 ...(1)
2x + 5y = 40 ...(3)

Subtracting equation (1) from equation (3), we get:

2y = -10

Therefore, y = -5

Substituting y = -5 in equation (1), we get:

2x + 3(-5) = 50

Simplifying, we get:

2x = 65

Therefore, x = 32.5

Hence, the cost of a pencil is 32.5 cents and the cost of a biro is -5 cents.

However, it is not possible for the cost of a biro to be negative, so there must be an error in the calculations or in the problem statement. Please check the numbers and the problem statement again.

Suppose 16 cars start at a car race. In how many ways can the top 3 cars finish the race

Answers

there are 3,360 ways in which the top 3 cars can finish the race.

How to Determine the number of ways?

To determine the number of ways in which the top 3 cars can finish the race, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, the order of the cars finishing the race matters.

The number of ways to determine the first place finisher is 16, as any of the 16 cars can finish in first place. Once the first place finisher has been determined, there are only 15 cars remaining, and any one of them can finish in second place. Therefore, there are 15 possible ways to determine the second place finisher.

Similarly, once the first and second place finishers have been determined, there are 14 cars remaining, and any one of them can finish in third place. Therefore, there are 14 possible ways to determine the third place finisher.

To find the total number of ways in which the top 3 cars can finish the race, we can multiply the number of possibilities for each place together:

16 x 15 x 14 = 3,360

Therefore, there are 3,360 ways in which the top 3 cars can finish the race.

It is important to note that this calculation assumes that each car is unique and that there are no ties for any of the top 3 positions. If there were ties, the calculation would become more complicated and would involve combinations as well as permutations.

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I need help in like 5 minutes please

Answers

Answer: 3/2 or 1 1/2 or 1.5

Step-by-step explanation:

9/8 times 2 is 2.25 or 9/4

9/4-6/8= 3/2 or 1 1/2 or 1.5

5. Which expression is 16 times as large as 18,233 — 4,006? (18,233 - 4,006) + 16 (18,233 — 4,006) × 16 (18,233 - 4,006) ÷ 16 (18,233 x 16) – 4,006 A (B) (D)​

Answers

The expression is 16 times as large as 18,233 — 4,006 (B) 16(18,233 - 4,006).

Expression calculation.

The expression (18,233 - 4,006) + 16 represents the sum of the difference between 18,233 and 4,006 (which is 14,227) and 16 times that difference.

To break it down further:

First, we calculate the difference between 18,233 and 4,006, which is 14,227.

Then, we multiply 14,227 by 16 to get 227,632.

Finally, we add the original difference of 14,227 to the product of 16 and the difference to get the final answer, which is 241,859.

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The diameter of a circle is 38 feet.what is the circles circumfrence. Use 3.14 for pi

Answers

Answer:

The circumference of the circle is 119.32 ft.

Step-by-step explanation:

The circumference of a circle can be solved through the formula:

C = πd

where d is the diameter

Given: d = 38 ft

π = 3.14

Solve:

C = πd

C = 3.14 (38 ft)

C = 119.32 ft

Problem 3: Find the diameter of a semicircle with an area of 76.97 square yards.

Answers

The diameter of the semicircle is with an area of 76.97 square yards is 14 yards.

What is the diameter of a semicircle with an area of 76.97

Semicircle is half that of a circle, hence the area will be half that of a circle. Area of semi circle = 1/2 × πr²

Where r radius and π is constant pi.

Since we are given the area of the semicircle as 76.97 square yards, we can set up the following equation:

76.97 = 1/2 × (πr²)

Multiplying both sides by 2, we get:

153.94 = πr²

Dividing both sides by π, we get:

r² = 49

Taking the square root of both sides, we get:

r = 7

Therefore, the diameter of the semicircle is: d = 2r  = 2(7) = 14 yards

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The Greenfield Community Picnic is today. The organizers are making 2 pulled-pork sandwiches for every 5 barbeque chicken sandwiches.

Answers

Answer: What is the ratio of pulled-pork sandwiches to barbeque chicken sandwiches at the Greenfield Community Picnic?

Let's call the number of pulled-pork sandwiches "P" and the number of barbeque chicken sandwiches "C". According to the problem, the organizers are making 2 pulled-pork sandwiches for every 5 barbeque chicken sandwiches. This means that:

P/C = 2/5

To simplify this ratio, we can multiply both sides by a common factor that will make the denominators the same. In this case, the smallest common multiple of 2 and 5 is 10, so we can multiply both sides by 10:

10(P/C) = 10(2/5)

Simplifying this expression, we get:

2P = 4C

Dividing both sides by 2, we get:

P/C = 2/4

Simplifying this fraction, we get:

P/C = 1/2

Therefore, the ratio of pulled-pork sandwiches to barbeque chicken sandwiches at the Greenfield Community Picnic is 1:2.

Step-by-step explanation:

Two trees are planted next to each other. One tree is 3 meters tall and casts a 15-meter shadow. Determine the height of the other tree if it casts an 18-meter shadow.

1.2 m
3.6 m
4.5 m
5.1 m

Answers

Answer:

3.6 m

Step-by-step explanation:

[tex] \frac{3}{15} = \frac{h}{18} [/tex]

[tex]15h = 54[/tex]

[tex]h = \frac{18}{5} = 3.6[/tex]

Answer:

3.6 meters.

Step-by-step explanation:

We can use the concept of similar triangles to solve this problem. The ratio of the height of the first tree to its shadow length is the same as the ratio of the height of the second tree to its shadow length.

Let h1 be the height of the first tree, s1 be its shadow length, h2 be the height of the second tree, and s2 be its shadow length.

For the first tree: h1/s1 = 3/15

For the second tree: h2/18 = 3/15

Solving for h2:

h2 = (18 * 3) / 15 = 3.6 meters

Therefore, the height of the second tree is 3.6 meters.

Draw place value disk to represent the value of the following expressions

5 times 2=

Answers

When the two sections are combined, the total number of circles would be ten, representing the value of 5 times 2, which is 10.

What is number?

Number is a mathematical concept used to quantify or measure a quantity. It is a symbol or group of symbols that stands for a quantity, such as 2, 4, 5, 10, and so on. Numbers are used to express amounts, to count, and to measure. They are also used to represent relationships between quantities and to compare quantities.

A place value disk can be used to represent the value of 5 times 2, which is equal to 10. The disk would have two sections, one representing the number 5 and the other representing the number 2. The number 5 would be represented by five single circles in the “ones” section, and the number 2 would be represented by two single circles in the “ones” section. When the two sections are combined, the total number of circles would be ten, representing the value of 5 times 2, which is 10.

The place value disk is a useful visual tool to help students understand the concept of multiplication. It allows them to clearly see how the number of circles in each section are multiplied to get the final answer. This can help them better understand the concept of multiplication and how it works.

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Complete questions as follows-

Which expression is an expanded form of ln10m‾‾√?

Answers

The expression 10m‾‾√ is an expanded form of the mathematical term ln10.

if f(x)=7x-5, determine f^-1(18)

Answers

To find the inverse of the function f(x) = 7x - 5, we need to solve for x in terms of y (or f^(-1)(x)). First, let's replace f(x) with y:

y = 7x - 5

Now, we need to solve for x:

1. Add 5 to both sides:

y + 5 = 7x

2. Divide both sides by 7:

(x = (y + 5) / 7)

Now we have the inverse function, f^(-1)(x) = (x + 5) / 7. We can use this to find f^(-1)(18):

f^(-1)(18) = (18 + 5) / 7f^(-1)(18) = 23 / 7So, f^(-1)(18) = 23/7.

A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondents age.

What percent of the people between the ages of 21 and 34 prefer football? Round your answer to the nearest whole number percent.

Answers

The percentage of people between the ages of 21 and 34 who prefer football are: 25%

What is a random sample?

A random sample is a subset of a larger population that is chosen so that every person or thing has an equal chance of being chosen.

To find the percentage, we need to find the number of people between 21 and 34 who prefer football and divide by the total number of people in that age range:

Number of people between 21 and 34 who prefer football: 9

Total number of people between 21 and 34 are:  36

So the percentage of people between the ages of 21 and 34 who prefer football are:

⇒ (9 / 36) x 100%

⇒ 25%

Rounding to the nearest whole number, the answer is 25%

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Complete figure-

Fiona deposits $2,000 and 200 savings account if the FED requires a 20% Reserve ratio how much of Fiona's money can the bank lend So whats the answer​

Answers

Therefore, the bank can lend out $1,600 of Fiona's money.

What is percent?

Percent, denoted by the symbol "%", is a way of representing a fraction or proportion out of 100. It is used to express a part of a whole in terms of hundredths. For example, 50% is the same as 50 out of 100, which simplifies to 1/2 or 0.5 as a decimal. Percentages are commonly used in many areas such as finance, statistics, and everyday life to express changes, rates, or comparisons.

Here,

If Fiona deposits $2,000 and the bank has a reserve ratio of 20%, then the bank can lend out 80% of her deposit.

Reserve = 20% x $2,000

= $400

Amount available for lending = $2,000 - $400

= $1,600

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Find each value or measure.




x = _____


mJK=_____ degrees


mMJ=_____ degrees


mLMK=______ degrees

(30 points) will give brainiest for effort

Answers

The value or measure of following are :-

x = 17.18°

∠JK = 143.78°

∠MJ = 116.48°

∠LMK = 47.17°

What is an arc?

A segment of a circle called an arc is made up of two endpoints on the circle and the curve that connects them.

Since the two lines JL and MK intersect at the center of the circle at point N, the angles formed by them are inscribed angles of the circle. Moreover, the angles formed by an inscribed angle and its corresponding arc are equal. Therefore, we can write:

∠JNK = ½ arc JNK = ½(5x+23)° = 2.5x + 11.5°

∠KNL = ½ arc KNL = ½(17x-41)° = 8.5x - 20.5°

We are also given that arc MNJ and LNK are similar, so their corresponding angles are equal. Similarly, arc MNL and JNK are similar, so their corresponding angles are equal. Let's use these facts to find x:

∠MNJ = ∠LNK

The arc MNJ is equal to the sum of arcs MNL and LNK. Therefore, we have:

½(5x+23)° + ½(17x-41)° = ∠MNJ + ∠LNK

2.5x + 11.5° + 8.5x - 20.5° = 2∠MNJ

11x - 9° = 2∠MNJ

∠MNL = ∠JNK

The arc MNL is equal to the sum of arcs MNJ and JNK. Therefore, we have:

½(5x+23)° + ½(8.5x-20.5°) = ∠MNL + ∠JNK

2.75x + 1.5° = 2∠JNK

1.375x + 0.75° = ∠JNK

Since ∠MNJ = ∠LNK and ∠MNL = ∠JNK, we can write:

2∠MNJ + 2∠JNK = 360°

Substituting the expressions we found for ∠MNJ and ∠JNK, we get:

22x - 18° = 360°

22x = 378°

x = 17.18° (rounded to two decimal places)

Now that we know x, we can find the values of the other angles of arc-

∠JNK = 1.375x + 0.75° = 24.43°

∠KNL = 8.5x - 20.5° = 119.35°

∠MNJ = (11x - 9°)/2 = 92.05°

∠LNK = ∠MNJ = 92.05°

∠MNL = 360° - ∠MNJ - ∠JNK = 243.52°

∠JK = ∠JNK + ∠KNL = 143.78°

∠MJ = ∠MNJ + ∠JNK = 116.48°

∠LMK = 360° - ∠MNJ - ∠JNK - ∠KNL = 47.17°

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if g(x)= 3x²+7x-1, then f'(x)=?​

Answers

Answer:

Step-by-step explanation:

Answer:  The question is asking us to find the derivative of the function f(x), but the function given is g(x). Therefore, we will assume that the question is asking us to find the derivative of g(x) and proceed accordingly.

To find the derivative of g(x), we need to apply the power rule and the sum rule of derivatives. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1), and the sum rule states that if f(x) = u(x) + v(x), then f'(x) = u'(x) + v'(x).

Using these rules, we can find the derivative of g(x) as follows:

g(x) = 3x² + 7x - 1

g'(x) = (3x²)' + (7x)' - (1)'

g'(x) = 6x + 7 - 0

g'(x) = 6x + 7

Therefore, the derivative of g(x) is g'(x) = 6x + 7.

Step-by-step explanation:

An actuarial study finds that in a sample of 2000 18-year-old drivers, 124 are involved in an accident.
cost of such an accident to the insurance company is $15 000. If the company wants to make a 20% profit on policies, what should they charge 18-year-old drivers?

Answers

Answer: Let's start by calculating the probability that an 18-year-old driver is involved in an accident:

P(accident) = 124/2000 = 0.062

Let's assume that the insurance company pays the full cost of the accident, which is $15,000. Then the expected cost of covering one 18-year-old driver is:

Expected cost = P(accident) x Cost of accident = 0.062 x $15,000 = $930

If the insurance company wants to make a 20% profit on policies, they need to charge a premium that covers their expected cost plus their desired profit. The premium, denoted by P, can be calculated as follows:

P = (Expected cost + Desired profit) / (1 - Profit margin)

where Profit margin is the percentage of the premium that represents the profit. In this case, Profit margin is 20%, or 0.20.

Substituting the values we have calculated, we get:

P = ($930 + 0.20 x $930) / (1 - 0.20)

= $1,236.00

Therefore, the insurance company should charge 18-year-old drivers a premium of $1,236.00 to make a 20% profit on policies.

Step-by-step explanation:

Find the inradius of triangle ABC.

Find the circumradius of triangle ABC.

The sides of the triangle are 5, 29, and 42.

Answers

To find the inradius of triangle ABC, we can use the formula:

inradius = area / semiperimeter,

where the semiperimeter is the sum of the three sides divided by 2, and the area can be found using Heron's formula:

semiperimeter = (5 + 29 + 42) / 2 = 38

area = sqrt(s * (s - a) * (s - b) * (s - c)), where s is the semiperimeter, and a, b, and c are the lengths of the sides.

area = sqrt(38 * (38 - 5) * (38 - 29) * (38 - 42)) = 90

inradius = area / semiperimeter = 90 / 38 = 45 / 19

Therefore, the inradius of triangle ABC is 45/19.

To find the circumradius of triangle ABC, we can use the formula:

circumradius = a/(2*sin(A)) = b/(2*sin(B)) = c/(2*sin(C)),

where a, b, and c are the lengths of the sides, and A, B, and C are the corresponding angles opposite those sides.

We can use the law of sines to find the angles:

sin(A) = (area * 2) / (a * b)
sin(B) = (area * 2) / (b * c)
sin(C) = (area * 2) / (c * a)

where area is the same area we found earlier using Heron's formula.

Substituting the values, we get:

sin(A) = 90 / (5 * 29) = 6/145
sin(B) = 90 / (29 * 42) = 10/87
sin(C) = 90 / (42 * 5) = 2/7

Now we can use the formula for the circumradius:

circumradius = a/(2*sin(A)) = b/(2*sin(B)) = c/(2*sin(C))

circumradius = 5/(2*6/145) = 29/(2*10/87) = 42/(2*2/7)

circumradius = 725/12

Therefore, the circumradius of triangle ABC is 725/12.

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 415 randomly selected adults showed that 65% of them would erase all
of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is
(Round to two decimal places as needed.)

Answers

The value of the test statistic is 6.04 (rounded to two decimal places).

What is test statistic?

A test statistic is a numerical value that is calculated from sample data and is used in hypothesis testing. It measures how many standard deviations a sample statistic (such as a sample mean or proportion) is away from the hypothesized population parameter.

According to question:

To find the test statistic, we need to perform a hypothesis test using the given sample data and the claim about the population. We can use a one-sample proportion z-test for this purpose.

Null Hypothesis: p = 0.5 (claim that 50% of adults would erase their personal information online if they could)

Alternative Hypothesis: p > 0.5 (claim that more than 50% of adults would erase their personal information online if they could)

We can calculate the test statistic using the formula:

where:

sample proportion = 0.65

p = hypothesized proportion = 0.5

n = sample size = 415

Plugging in the values, we get:

z = (0.65 - 0.5) / sqrt(0.5 * 0.5 / 415)

z = 6.04

Therefore, the value of the test statistic is 6.04 (rounded to two decimal places).

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Melissa collected the data in the table.


When x = 4, what is the residual?

–3
–1
1
3

Answers

From the data in the table, we can conclude that when x = 4, then the residual will equal -1.

How to determine the residual

To determine the residual, we can begin by obtaining the difference between the given and the predicted values of y.

So, Residual = Gven value - Predicted value.

When x = 4 in the table, Given value is 9 and predicted value is 10. So, 9 - 10 = -1. So, we can say that the residual value is -1.

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Answer:

The residual is the difference between the actual y-value and the predicted y-value on a regression line. Since no table or equation is provided, we cannot calculate the exact residual. However, I can explain the concept to you.

Step-by-step explanation:

In general, to calculate the residual, we would need a regression equation or a line of best fit. This equation allows us to predict the y-values for different x-values. Then, we can compare the predicted values to the actual values given in the table to find the residuals.

If you have the regression equation or the line of best fit, I can help you calculate the residual for a specific x-value.

Use the graph to answer the question.

graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5

Determine the translation used to create the image.

7 units to the right
7 units to the left
3 units to the right
3 units to the left

Answers

The translation used to create the image is 3 units to the right, as each point of the original polygon was moved 3 units to the right to obtain the corresponding point of the image polygon.

What is Polygon?

Geometry defines a polygon as a closed shape composed of continuous line segments, or sides, that do not intersect.

What is Translation?

Translation is a transformation in geometry that moves an object without changing its shape, size, or orientation. It involves sliding an object along a straight line in a certain direction and distance.

According to given information:

To determine the translation used to create the image, we can observe the original and transformed polygons and look for changes in their positions. The vertices of the original polygon ABCD are (1,5), (3,1), (7,1), and (5,5), while the transformed polygon A'B'C'D' has vertices (8,5), (10,1), (14,1), and (12,5).

Comparing the vertices of the two polygons, we notice that all of the points have been shifted 7 units to the right to obtain the transformed image. This means that every x-coordinate of the original polygon has been increased by 7, which can be written as a translation vector (7, 0).

Therefore, the translation used to create the image is 7 units to the right.

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Which of the following statements is true about the graphs of f(x)=x and g(x) = f(x+2)?
a. g(x) is the graph of f(x) translated 2 units to the right.
b. g(x) and f(x) have the same y-intercept.
C. g(x) is the graph of f(x) translated 2 units down.
d. g(x) is the graph of f(x) translated 2 units to the left.

Answers

The correct statement is

Option (a) g(x) is the graph of f(x) translated 2 units to the right.

Rules of Translation of a Graph:

The general rule for translating a graph is as follows:

To translate the graph of y = f(x) horizontally by h units, we replace x with (x - h) in the equation of the function.

This implies the graph moving h units to the right if h is positive, or to the left if h is negative.

To translate the graph of y = f(x) vertically by k units, we add k to the equation of the function, resulting in y = f(x) + k.

This implies the graph is moving k units up if k is positive, or down if k is negative.

Here  we have

The graphs of f(x) = x and g(x) = f(x+2)

=> g(x) = x + 2

We observe that the graph g(x) is formed by adding 2 units to the x coordinate of f(x)

Therefore,

The correct statement is

Option (a) g(x) is the graph of f(x) translated 2 units to the right.

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Solve the problem. Explain why your
answer makes sense.
14. The fence around Tavon's backyard is
28 meters. The backyard is shaped like
a square. How long is each side of the
backyard?
within temp
ect from he
not reuse

Answers

Each side of Tavon's backyard is 7 meters long.This answer makes sense because a square has four equal sides, so if the perimeter of the square is 28 meters,

How to solve the problem?

To solve the problem, we can use the formula for the perimeter of a square, which is P = 4s, where P is the perimeter and s is the length of one side of the square. Since we know that the fence around Tavon's backyard is 28 meters, we can set this equal to the perimeter of the square and solve for s:

28 = 4s

Dividing both sides by 4, we get:

s = 7

Therefore, each side of Tavon's backyard is 7 meters long.

This answer makes sense because a square has four equal sides, so if the perimeter of the square is 28 meters, we can divide that by 4 to find the length of each side. In this case, we get 7 meters, which is a reasonable length for a side of a backyard. Additionally, since the problem tells us that the backyard is shaped like a square, we know that each side must be the same length, so it makes sense that we would find a single value for s that satisfies the equation P = 4s.

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Your Complete question is :-14. The fence around Tavon's backyard is

28 meters. The backyard is shaped likea square. How long is each side of the backyard?

… Approximate the area of the shaded region.

Answers

The approximated area of the shaded region is 92.54 square units

Approximating the area of the shaded region.

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

Two isosceles right trianglesCircle

The area of the shaded region in the figure is calculated as

Shaded region = Circle - Isosceles right triangle 1 - Isosceles right triangles 2

Using the given dimensions, we have

Shaded region = 3.14 * 6^2 - 1/2 * 5^2 - 1/2 * 4^2

Evaluate

Shaded region = 92.54

Hence, the shaded region is 92.54 square units

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Name one right angle.
Name one straight angle.

Answers

Right angle: JEF
Straight angle: DEF

"answer. y and X
the question is given regular pentagon

Answers

The value of Y is 54 degrees

What is a pentagon?

A pentagon is described as any five-sided polygon or 5-gon that has a sum of the internal angles in a simple pentagon is 540°.

we know that every side of a regular pentagon is same.

So we have an isosceles triangle. The  correspond angle of y, must equal to y (degree) too.

we also have that every inner angle of a regular pentagon is 360/5=72.

So we can calculate angle y, by the equation y+y+72=180.

Therefore y=54

In conclusion,  the regular pentagon each interior angle measures 108°, and each exterior angle measures 72°

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Complete question is attached in image;

Which of these functions could have the graph shown below?

• A. f(x) = 30^30x
• B. f(x) = e^30x
• C. f(x) = 3^x
• D. f(x) = 30e^x

Answers

The correct option is -  D. f(x) = 30[tex]e^{x}[/tex] is the exponential function which is shown by the given curve.

Explain about the exponential function:

For modelling a connection where the dependent variable changes proportionally to a constant variation in the independent variable, the exponential function is utilised.

Often, the function is written as exp (x) It is extensively utilised in the fields of mathematics, physics, chemistry, engineering, physical science, and economics.

Assume that an is the starting point, x is the exponent function's power, and e is the growing factor.

Exponent is provided as

y = a(e)ˣ

According to the graph, the exponent function's value at x = 0 will be 30.

The purpose will then be

30 = a(e)⁰

30 = a

The exponent function is then provided as,

y = 30eˣ

As a result, the graph in the functions below will have a value of y = 30eˣ.

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