Please help me find the area of this irregular shape.

2674 to the nearest hundred would be 2700

Answer:

  $3577.20

Step-by-step explanation:

You can save 11% of your income each month, so in 12 months, you can save ...

  12×0.11×$2710 = $3577.20

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

1) 25/54 = 46%

2) 10/27 = 37%

3) 17/27 = 63%

4) 20/27 = 74%

5) 17/27 = 63%

6) 10/17 = 59%

Step-by-step explanation:

1) (50 male)/108 total) = 25/54

2) (40 thumbs down)/(108) = 10/27

3) (68 thumbs down or male) / (108) = 17/27

4) (80 thumbs down or female)/(108) = 20/27

5) (68 thumbs up)/(108) = 17/27

6) (40 thumb up female)/(68) = 10/17

1. The probability that a survey respondent is male is 0.56 (or 28/50).

2. The probability that a survey respondent indicated a thumbs-down is 0.34 (or 17/50).

3. The probability that a survey respondent indicated thumbs-up or is male is 0.84 (or 42/50).

4. The probability that a survey respondent indicated thumbs-down or is female is 0.52 (or 26/50).

5. The probability that a survey respondent indicated a thumbs-up is 0.66 (or 33/50).

6. The probability that a thumbs-up respondent is female is 0.545 (or 6/11).

1. To find the probability that a survey respondent is male, divide the number of male respondents who gave a thumbs-up (28) by the total number of respondents (50). This gives us 28/50 = 0.56.

2. For the probability of a thumbs-down response, add the number of males (22) and females (18) who gave a thumbs-down and divide by the total respondents (50). This yields 40/118 = 0.34.

3. To calculate the probability of thumbs-up or male, sum up the thumbs-up male respondents (28) and all males (28 + 22) and divide by the total respondents (50). This results in 50/59 = 0.84.

4. For the probability of thumbs-down or female, add the thumbs-down female respondents (18) to all females (18 + 40) and divide by the total respondents (50). This gives us 58/112 = 0.52.

5. The probability of a thumbs-up response is calculated by dividing the total thumbs-up respondents (40) by the total respondents (50), which is 40/50 = 0.66.

6. To find the probability that a thumbs-up respondent is female, divide the thumbs-up female respondents (40) by the total thumbs-up respondents (40 + 28) which is 40/73 = 0.545.

In summary, by analyzing the given data, we can determine these probabilities. Male respondents make up 56% of the survey, while the probability of indicating a thumbs-down is 34%. The probability of either a thumbs-up or being male is 84%, and the probability of either a thumbs-down or being female is 52%. The probability of indicating a thumbs-up is 66%, and among thumbs-up respondents, the probability of being female is about 54.5%.

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The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

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Answer:

C, D

Step-by-step explanation:

hope this helped :)

The longest side is side PQ which is correct option(C)

16m, 24m, 38m combination of measurements could form a triangle which is correct option(B)

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

In ΔPQR,

The largest angle ∠P = 15°

The smallest angle ∠Q = 41°

2nd largest angle ∠R = 124°

Side RQ is opposite of angle ∠P

Side PQ is opposite of angle ∠R

Side PR is opposite of angle ∠Q

The angles in order from longest to shortest :  ∠R > ∠Q > ∠P

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the longest side = side PQ

A triangle can only be formed if the sum of any 2 side lengths adds up to be greater than the length of the other side.

The combination 16m, 24m, 38m is the only one where any 2 side lengths adds up to be greater than the other side

We can test this:

16 + 24 > 38

24 + 38 > 16

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Answer:

so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours

+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes

Step-by-step explanation:

answer from gauth math

Answer:

22 hours and 30 minutes

Step-by-step explanation:

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

Answer:

7.11 x 10^-6

Step-by-step explanation:

Answer:

5 cm

h

12 cm

8 cm

6 cm

15 cm:43,200

Answer:

economics

In 2019, the manager of a beachside brasserie offers a menu for € 23.90 for lunch. This menu

was so successful that the manager decided to increase her price for the summer.

The average weekly number of covers according to the price of the menu (in €) is given

by: N (x) = - 18 x + 605.

1. The manager sets the price of the menu at 25 €. Calculate the weekly turnover achieved by

Brewery.

x

To know: The turnover of a company corresponds to the sum of the amounts of sales

carried out by it.

х

2. We denote by C (x) the weekly turnover (in €) for a menu price of

euros. Show that C (x) = - 18x? +605 x

3. The manager believes that for her formula to remain profitable, her turnover must exceed

€ 1,400 the first week. Determine the highest menu price the manager can

to stare

for

be profitable.

Step-by-step explanation:

The set of numbers best describes the possible values of x in the equation is option c. only negative values of x.

Since the equation is

x - 1 = x

So, here the x should be canceled out

So, it should be like

0 = -1

Hence, we can say that

The option c is correct,

And, the rest of the options are incorrect.

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Answer:

The answer should be 1.625

You know that the total distance from Houston to Indianapolis is 1,022 miles and Jerry and his family plan to drive between 425 and 475 miles each day.

Let's choose 425 miles first. You can find the number of days it will take Jerry's family to reach Indianapolis driving 425 miles per day as following:

Now let's choose the second value (475 miles). You can find the number of days it will take Jerry's family to reach Indianapolis driving 475 miles per day applying the same procedure. You get:

As you can see, it will take Jerry's family between 2 and 3 days to reach Indianapolis if they plan to drive between 425 and 475 miles each day.

The answer is Option C.

Answer:

B it is B

Step-by-step explanation:

Answer:5.68x10^5

Step-by-step explanation:

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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Answer:

are the values of a or b given?

Step-by-step explanation:

Answer:

y=15

DE=11

GF=17

Step-by-step explanation:

y*2=5*6

2y=30

y=15

5+6=11

15+2=17

The proportionality constant of the given graph is k = 16.

The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.

Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn

The given graph has the coordinates as

x = 0; y = 0 i.e., (0, 0)

x = 0.5; y = 8 i.e., (0.5, 8)

x = 1; y = 16 i.e., (1, 16)

x = 1.5; y = 24 i.e., (1.5, 24)

and so on.

Then, the ratio of y - coordinate to the x - coordinate is

k = 8/0.5 = 16

or

k = 16/1 = 16

or

k = 24/1.5 = 16

and so on.

So, the proportionality constant for the given graph is k = 16.

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Answer:

the real answer is

5/3

divided by 1/3

and the quotient is

5

this is the real answer

Step-by-step explanation:

From the diagram attached, the divison operation represented by the model is \(\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}\)

The Fraction of shaded partitions = 7(1/4) = 7/4

Half of each rectangle is circle = 1/2

Hence, the divison exemplified by the model is :

Fraction of shaded partition ÷ Circled portion

\(\frac{7}{4} \div \frac{1}{2}\)

Take the reciprocal of 1/2 and change sign to multiplication :

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

Therefore, the division problem represented by the model is \(\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}\)

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Answer: 72 over 7

Step-by-step explanation: Hoped this helped you

Answer:

\(6 \frac{3}{4} + 2 \frac{1}{4}\) × \(\frac{8}{7}\)

Decimal Form: 9.32

Step-by-step explanation

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

Answer:

A

Step-by-step explanation:

slope: (7-3)/(-3-3) = 4/(-6) = -2/3

y = -2/3 x + b

7 = 2 + b

b= 5

y = -2/3 x + 5

Answer:

8:05 or 8:10

Step-by-step explanation:

6:35 plus 60 minutes 6:95 then change it to 7:60 to 8:05 pm or 8:10 pm

the answer is 8:05 to 8:10

Answer:

8:10

Step-by-step explanation:

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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the transformation from f(x) to g(x) is (c) the graph of g(x) is horizontal compression of the graph f(x) by a factor of 1/3 and a reflection across the x-axis.

The functions are given as:

f(x) =x^3

g(x) = -(3x)^3

The minus sign in g(x) = -(3x)^3 implies that the function f(x) is reflected across the x-axis

The 3 in g(x) = -(3x)^3 implies that the function f(x) is stretched horizontally by 1/3

Hence, the transformation from f(x) to g(x) is (c)

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Answer:

D

Step-by-step explanation:

Part (a)

\(R(1)=\frac{2000(1)^2}{1^2+4}=400\)

Part (b)

\(R(2)=\frac{2000(2)^2}{2^2+4}=1000\)

Answer:

(a) 400

(b) 1000