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What is the area of this figure?

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Answer:

684

Step-by-step explanation:

see photo for step by step explanation.

The area of the pool is the amount of space on it.

The area of the pool is 684 square feet

The dimensions of the pool are:

10ft by 20ft, 8ft by 20ft and 27ft by 12ft

The area of the pool is then calculated as:

A = 10 * 20 + 8 * 20 + 27 * 12

Evaluate the products

A = 200 + 160 + 324

Evaluate the sums

A = 684

Hence, the area of the pool is 684 square feet

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23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

" Geometric sequence is defined as the sequence whose ratio of the consecutive terms is always constant."

Formula used

nth term of the geometric sequence

[tex]a_{n} = a r^{n-1}[/tex]

a = first term

r = common ratio

[tex]a_{n}[/tex] = nth term

According to the question,

First term of the geometric sequence 'a' = 25

Common ratio of the geometric sequence 'r'  = 1.8

Substitute the value in the formula to get 23rd term,

[tex]a_{23} = 25(1.8)^{23-1}[/tex]

⇒[tex]a_{23} = 25(1.8)^{22}[/tex]

Function to represent this sequence

[tex]a, a(r),a(r)^{2} , a (r)^{3} , ....... ,a(r)^{n}[/tex]

= [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

Hence, 23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

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To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. The fraction that is equivalent to 1/3 is 4/12.

To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. Let's go through each option:

Therefore, the fraction that is equivalent to 1/3 is 4/12.

Final answer:

Aubrey requires 2 cans of white paint to cover the triangular sail with an area of 12 square feet, given that one can covers 10 square feet.

Explanation:

Aubrey is painting a triangular sail as part of a mural with a base of 4 feet and a height of 6 feet. To calculate the area of the triangle, the formula is 1/2 × base × height. Thus, the area is 1/2 × 4 × 6, which equals 12 square feet. One can of special white paint covers 10 square feet. Therefore, Aubrey will need to use 2 cans of paint to cover the entire sail, since you can't purchase a fraction of a can.

Answer:

Options B, C and D are correct choices.

Step-by-step explanation:

Please consider the complete question.

Mr. Shen likes for his homework assignments to have 2  addition problems for every 3 subtraction problems.

Which of the following homework assignments could

Mr. Shen create?

Choose 3 answers:

A. 3 addition problems and 4 subtraction problems .

B. 6 addition problems and 9 subtraction problems .

C. 16 addition problems and 24 subtraction problems.

D. 8 addition problems and 12 subtraction problems.

E. 15 addition problems and 10 subtraction problems.

To solve our given problem, we need to find the number that have same ratio.

Let us compare each ratio.

A. [tex]\frac{3}{2}\neq \frac{4}{3}[/tex]

Since the ratio of corresponding numbers is not same, therefore, option A is incorrect.

B. [tex]\frac{6}{2}=\frac{9}{3}[/tex]

[tex]3=3[/tex]

Since the ratio of corresponding numbers is same, therefore, option B is the correct choice.

C. [tex]\frac{16}{2}=\frac{24}{3}[/tex]

[tex]8=8[/tex]

Since the ratio of corresponding numbers is same, therefore, option C is the correct choice.

D. [tex]\frac{8}{2}=\frac{12}{3}[/tex]

[tex]4=4[/tex]

Since the ratio of corresponding numbers is same, therefore, option D is the correct choice.

E. [tex]\frac{15}{2}\neq \frac{10}{3}[/tex]

Since the ratio of corresponding numbers is not same, therefore, option E is incorrect.

The question seems to require using ordered pairs to locate Sam and the theater, but lacks the specific coordinates or context needed for a precise answer. Ordered pairs are essential in geometry for representing positions.

The question seems to pertain to locating positions or objects using ordered pairs, which falls under the domain of algebra and geometry in mathematics. An ordered pair (x, y) is used to define the positions on a plane, with 'x' representing the horizontal component and 'y' representing the vertical component.

Unfortunately, the question lacks specific information about the coordinates of Sam and the theater, making it impossible to provide exact ordered pairs without additional context. In scenarios involving maps or spatial planning such as finding locations in a city or arranging objects with a spatial relation to each other, ordered pairs serve as a crucial means of representation.

Exercises involving ordered pairs deepen understanding of coordinate systems, which are fundamental in geometry and crucial for various applications in science and engineering.

Answer:  [tex]\overline{DE}[/tex]

Step-by-step explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Since reflection preserves the size of the figure and maps a congruent image .

Therefore, polygon ABCDE is congruent to polygon LMNOP

Also, we know that if two polygons are congruent then their corresponding sides are equal.

Then, LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

So , the  line segment in the image corresponds to [tex]\overline{OP}[/tex]in the pre-image is [tex]\overline{DE}[/tex].     [Last two letters of the name of polygons]

Answer:

(B) DE

Step-by-step explanation:

Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

To find: A line segment in the image corresponds to OP in the pre-image.

Solution: It is given that  Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.

Also, we know that reflection maps a congruent image, therefore polygon ABCDE is congruent to polygon LMNOP.

And, if two polygons are congruent then their corresponding sides are congruent, thus

LM=AB

MN=BC

NO=CD

OP=DE

AE=LP

Hence, the  line segment in the image corresponds to [tex]\overline{OP}[/tex] in the pre-image is [tex]\overline{DE}[/tex].

Therefore, option B is correct.

Answer:

Step-by-step explanation:

Answer:

The relationship is between the days that have gone by and the number of petri dishes.  The point (0, 185) means that if 0 days have gone by there are 185 petri dishes.  The number of petri dishes decreases by 12 each day, so the slope is –12.   Use the slope-intercept form to write the equation y = –12x + 185.

Thats the actual answer from edge

Given is the Overhead charges = 25 dollars.

Making charge of each barrette = 1.25 dollars.

Let's assume the number of barrette that she makes = x

So the Cost function would be, C(x) = 1.25x + 25.

She sell each piece for 3.50 dollars.

So the Revenue function would be, R(x) = 3.50x

We know the Profit function is given by the difference of Revenue function and Cost function.

Profit function = Revenue function - Cost function

P(x) = R(x) - C(x)

P(x) = 3.50x - (1.25x + 25)

P(x) = 3.50x - 1.25x - 25

P(x) = 2.25x - 25

Hence, Marie's Profit would be P(x) = 2.25x - 25.

Answer:  They are not mutually exclusive events.

Step-by-step explanation:

Let A be the event of getting a sum of 6 on dice.

Let B be the events of getting doubles .

A={ (1,5), (2,4), (3,3), (4,2), (5,1) }

B = { (1,1) , (2,2), (3,3),  (4,4), (5,5), (6,6) }

Since we know that Mutaullty exclusive events are those when there is no common event between two events.

i.e. there is empty set of intersection.

But we can see that there is one element which is common i.e. (3,3).

So, n(A∩B) = 1 ≠ ∅

Hence, they are not mutually exclusive events.

Answer:

They are not mutually exclusive events.

Step-by-step explanation: