a triangular pyramid has a volume of 840 cubic inches the triangular base has a base length of 20 inches and a height of 21 inches find the height of the pyramid

Answer:

The ratio of pigs to total animals is 9:14 or 9/14.

Step-by-step explanation:

Given that the total number of sheep =  5

The total number of pigs = 9

From that, the given ration of sheep to pigs is 5:9

Now, the total number of animals = no. of pigs + no. of sheep = 5+9 = 14.

So, to express the ratio of pigs to the total number of animals =

no. of pigs: total no. of animals = 9:14.

Therefore, the ratio of pigs to the total number of animals is 9:14.

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The correct answer is Option D. [tex]14c+5g+12[/tex]. The expression [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.

To calculate the total amount of money Denise and Stacey spent at the carnival, we need to consider the admission fee, the cost of rides, and the cost of games for both of them.

Admission Fee: Since both Denise and Stacey went to the carnival, we need to include the admission fee for each of them. The admission fee per person is $[tex]6[/tex]. So, for both Denise and Stacey, the total admission fee is [tex]2*6=12[/tex] dollars.

Rides: Both Denise and Stacey went on [tex]7[/tex] rides each. Since the cost of each ride is c dollars, the total cost for rides for each of them is [tex]7c[/tex]. So, for both Denise and Stacey, the total cost for rides is [tex]2*7c=14c[/tex] dollars.

Games: Stacey played [tex]3[/tex] games, and Denise played [tex]2[/tex] games. The cost of each game is g dollars. So, the total cost for games for Stacey is [tex]3g[/tex] dollars, and for Denise, it's [tex]2g[/tex] dollars.

Putting it all together, the expression representing the total amount of money that Denise and Stacey spent at the carnival is:

Combining these costs, we get [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.

COMPLETE QUESTION:

Denise and Stacey went to a carnival. The admission fee was $[tex]6[/tex] per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on [tex]7[/tex] rides each. Stacey played [tex]3[/tex] games, while Denise played [tex]2[/tex] games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?

A. [tex]7c+5g+6[/tex]

B. [tex]7c+5g+12[/tex]

C. [tex]14c+5g+6[/tex]

D. [tex]14c+5g+12[/tex]

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.

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:

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:

8.64 is the answer. I put 7.2 and got it wrong. :)

8.64

Step-by-step explanation:

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Final answer:

Since the area of one side is 1.44 m², the total surface area is 8.64 m².

Explanation:

To find the total surface area that will be painted on a cube-shaped table with an edge length of 1.2 m, we use the formula for the surface area of a cube, which is 6 times the area of one side.

Calculating the area of one side (1.2 m × 1.2 m) gives us 1.44 m². Multiplying this by 6 (6 × 1.44 m²) gives the total surface area which is 8.64 m². Therefore, the correct answer to drag and drop into the box is 8.64 m².

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.

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:

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:

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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Answer:

Step-by-step explanation: