Seth built a wooden step stool out of two rectangular prisms and two cubes. Before fastening the components together, he stained each component to give it its final color.


To completely stain the bottom rectangular prism, Seth had to cover

square inches of wood. For one of the cubes to be completely stained, he had to cover

square inches of wood. To completely stain the top rectangular prism, he had to cover

square inches of wood.


Once the stool was fastened together, he applied a coat of sealant to all exposed surfaces of the stool, including the bottom, to cover a total of

square inches.

Answers

Answer 1

To complete stain the bottom rectangular prism, he needs to cover 624 square inches.

What is surface area?

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

Given that:

Bottom rectangular prism:

Length = 22 in

Width = 8 in

Height = 6 in

The surface area of the rectangular prism is:

SA = 2( lh + wh + lw)

SA = 2((22)(6) + (8)(6) + (22)(6))

SA= 624 square inches.

To complete stain the bottom rectangular prism, he needs to cover 624 square inches.

Square:

Side = 4 in

The surface area of the cube is:

[tex]SA = 6a^2[/tex]

[tex]SA = 6 (4)^2\\\\SA= 96[/tex]square inches.

To completely stain two squares, he needs to cover 96 * 2 = 196 square inches.

Top rectangular prism:

Length = 18 in

Width = 5 in

Height = 2 in

The surface area of the rectangular prism is:

SA = 2( lh + wh + lw)

SA = 2((18)(2) + (5)(2) + (18)(5))

SA = 136 square inches

Hence to completely stain top rectangular prism, he needs to cover 136 square inches.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ4


Related Questions

d(n)=-5(1/2)^n-1 what is the 3rd term in the sequence

Answers

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

Answer:

-1.25

Step-by-step explanation:

thats the answer on khan

In deer, the gene $N$ is for normal coloring and the gene $a$ is for no coloring, or albino. Any gene combination with an $N$ results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors from parents that both have the gene combination $Na$.

a. What percent of the possible gene combinations result in albino coloring?


$\%$


b. Show how you could use a polynomial to model the possible gene combinations of the offspring.


The gene combinations could be modeled by the polynomial

Answers

Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

What is Punnett square?

The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.

It bears Reginald C. Punnett's name, who developed the method in 1905.

Biologists use the figure to calculate the likelihood that a child will have a specific genotype.

So, there is only one gene combination that could result in albinism.

4 different gene pairings are possible.

The proportion of gene combinations that might result in albinism.

Coloring is, therefore:

Percentage = 1/4 * 100 = 25%

Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

Know more about Punnett square here:

https://brainly.com/question/3522181

#SPJ4

Correct question:

Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.

What percent of the possible gene combinations result in albino coloring?

(Find the value of): 2m x 2-m

Answers

4-m is the value of this

Can you form a triangle with side lengths 8 9 and 17?

Answers

No, you cannot form a triangle with side lengths 8, 9, and 17. The sum of any two sides of a triangle must be larger than the remaining side. 8 + 9 = 17, which is not larger than 17.

1. A triangle is a three sided polygon with three angles and three sides.

2. In order to form a triangle, the sum of any two sides of the triangle must be larger than the remaining side.

3. To test if a triangle can be formed with side lengths 8, 9, and 17, we need to add two of the sides together and see if the result is larger than the remaining side.

4. 8 + 9 = 17, which is not larger than 17, so a triangle cannot be formed with side lengths 8, 9, and 17.

5. Therefore, you cannot form a triangle with side lengths 8, 9, and 17.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

How many times larger than 2 x 10-3 is 8 x 10?

Answers

Answer:

2 × 10 - 3 = 17

8 × 10 = 80

80 - 17

= 63

Is w = 7 a solution to this equation?

28 = 4w

Answers

Answer:

yes

Step-by-step explanation:

4w=28

4(7)=28

28=28

hurry please
An isometric transformation is applied to a trapezoid to create a parallelogram
What is the length of JK?

6 cm
7 cm
10 cm
13 cm

Answers

The answer to this question is b

A store has 13 boxes of candles. There are 44
candles in a box. A box falls off the shelf, and 3
candles break. In preparation for the winter, the
store orders 88 more boxes of candles.

Answers

Answer:

145 candles

Step-by-step explanation:

2x^(2)+12x+8
using completing square

Answers

Answer:

[tex] {2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5[/tex]

If JKLM is a rectangle, JL=2x+5, and MK=7x+40, find MK

Answers

Answer: 5

Step-by-step explanation:

JK = MK

2x + 5 = 7x - 40

2x - 7x = -40 -5

-5x= -45

x = 9

Replacing x with 9 in MK

7(9) - 40

45 - 40

5

MK = 23

JKLM being a rectangle, the diagonals (JL and MK) are equal—therefore,

2x+5 = 7x-40
5 = 5x-40
45 = 5x
x = 9

MK = 7(9)-40
MK = 63-40
MK = 23

How do you check if a trinomial is a perfect square trinomial?

Answers

The binomial equation can be squared to provide an expression that is a perfect square trinomial.

what is perfect square ?

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The binomial equation can be squared to provide an expression that is a perfect square trinomial.

If and only if a trinomial that takes the form ax 2 + bx + c satisfies the requirement b 2 = 4ac is considered to be a perfect square.

To know more about perfect square visit :-

brainly.com/question/385286

#SPJ4

34. You deposit $2,000 in an account that earns simple interest at a rate of 3% per year. How much interest will you
have earned after 3 years?

Answers

Answer:

Principal=$2000

Rate=3%

Time=3 years

Interest=P*T*R/100

=$2000*3*3/100

=$18000/100

=$180

Step-by-step explanation:

Julian went shopping for a new pair of sneakers. Sales tax where he lives is 5.75%. If the price of the pair of sneakers is pp dollars and cents, which expression represents the total price plus tax?

Answers

The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp

How to write the expression of the total price Julian paid

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

5.75%

= 5.75 percent

= 5.75 / 100

= 0.0575

The factor 0.0575 of the price  (pp dollars and cents) gives the total price paid

when the price paid is pp dollars and cents

= 0.0575 * pp + pp

= 1.0575pp

The total price paid is 1.0575pp

Learn more about percent here:

https://brainly.com/question/29230566

#SPJ1

Write a proportion to find how many points x a student needs to score a on a test worth 50 points
to get a test score of 40%.

Please Help

Answers

A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.

what is proportion ?

The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value. When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.

given

test score to 50 points

test score of 40 %

= 50/100 * 40

= 20

A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.

To know more about proportion visit:

https://brainly.com/question/29126727

#SPJ1

Help please I don’t understand

Answers

Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.

3 miles is equal to 5280 yards. If she jogged so for 4,995 yards, you need to subtract 4,995 from 5280. Therefore, she needs to jog 285 more yards. Hope this helps! Good Luck!

2789\36 help me psss i have to take this test lie be so fl i like right nowww pls haelp me

Answers

Answer:

77.472222 etc

Step-by-step explanation:

Hiiioo! Someone please help me out!❤️:)

Answers

Answer:

bxwxh base x width x height.

Step-by-step explanation:

b=4

w=11

h=3

i need help with this plseeee

Answers

Step-by-step explanation:

where is the question? i can help you

In the following set of side lengths of a right angle triangle, which number would represent the length of the hypotenuse?? 3 cm, 4 cm, 5 cm

Answers

Answer:

5cm

Step-by-step explanation:

The hypotenuse is the longest side of the triangle

How many terms are there in the expression 2p3 3p2 4p 7 *?

Answers

Answer: 4

Explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

TOLL ROAD Mr. Espinoza randomly chooses one of five toll booths when
entering a toll road when driving to work. What is the probability he will
select the middle toll booth on Monday and Tuesday?

Answers

Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).

To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.

Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%

So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.

Step-by-step explanation:

need help asap!!! will give brainliest!!!

Answers

Answer:

27

Step-by-step explanation:

PLEASE, I NEED HELP WITH THIS QUESTION!!!!

given three consecutive odd integers, their sum is two times the third number plus 11. what are the three numbers

Answers

Answer:

7 , 5 , 9

Step-by-step explanation:

In ΔXYZ, x = 5. 2 inches, y = 9. 8 inches and z=7. 1 inches. Find the measure of ∠Z to the nearest degree

Answers

The measure of ∠Z is 165 degrees to the nearest degree.

In a triangle, the measure of each angle is equal to the sum of the measures of the other two angles subtracted from 180 degrees. This is known as the Triangle Sum Theorem.

Given that x = 5.2 inches, y = 9.8 inches, and z = 7.1 inches in triangle XYZ, we can use the theorem to find the measure of angle Z.

∠Z = 180 - (x+y)

∠Z = 180 - (5.2+9.8)

∠Z = 180 - 15

∠Z = 165

So the measure of ∠Z is 165 degrees to the nearest degree.

Therefore, The measure of ∠Z is 165 degrees to the nearest degree.

To learn more about Triangle Sum Theorem,

Visit; brainly.com/question/2995226

#SPJ4

If star a is closer to us than star b, then star a's stellar parallax is __________.
O Larger than that of star B
O Larger than that of star A
O Smaller than that of star B
O Smaller than that of star A

Answers

If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.

Hence, option (A) is correct choice.

The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.

The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).

The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.

For more questions on Parallax angle

https://brainly.com/question/3063547

#SPJ4

Simplify: [tex]\frac{10^4}{10^6}[/tex]

Answers

Answer:

1/100, or 0.01, or 10^-2

Step-by-step explanation:

Simplify to get 1/10^2

and evaluate to get 1/100 or some the alternative forms (see above)


A circle has a circumference of 8. It has an arc of length 32/5.
What is the central angle of the arc, in degrees?

Answers

Answer:

288°

Step-by-step explanation:

[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ where \\ l = length \: of \: the \: arc \\ \theta \: = measure \: of \: the \: central \: angle \\ c = circumference \: of \: the \: circle \\ \\ \implies \: \frac{32}{5} = \frac{ \theta}{360 \degree} \times 8 \\ \\ 40 \theta = 32 \times 360 \degree \\ \\ \theta = \frac{ 32 \times 360 \degree}{40} \\ \\ \theta =32 \times 9 \degree\\ \\ \theta =288 \degree [/tex]

What is the degree of polynomial 5x³ 4x² 7x?

Answers

The degree of polynomial in 5x³ 4x² 7x is 3, since the highest power of variable is 3.

What is degree of polynomial?

The degree of polynomials, which determines the maximum number of solutions a function could have and how frequently a function will cross the x-axis on a graph, is one of the key ideas in mathematics. Polynomials are also important because they help us understand how functions can be represented mathematically. In the equation involving polynomials, it has the highest exponential power.

In a polynomial equation, a variable's greatest power is its degree. Only the terms with variables are taken into consideration when calculating a polynomial function's degree. The polynomials degree can be determined by looking at the variable term's highest exponential power.

Learn more about polynomial's degree

https://brainly.com/question/29195568

#SPJ4

Can you help me with this

Answers

slope is 1
there’s no equation of the line because the slope of the line is 1

Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
$150. The cost of rent and the expensive saws and equipment she bought add up to about $50 a chair. The wood she uses is
standard wood and the materials to make one chair cost about $30. She pays one worker to help her move the chairs into people's
home. Everytime she sells a chair, she pays this worker

$10 for the hour of work to transport the homemade chair.


What is judiyah’s profit ?

Answers

Answer:

$60

Step-by-step explanation:

Profit = revenue - total cost

cost is total expenses incurred in running the business

total cost =  cost of rent and the expensive saws and equipment + cost of wood + amount paid to worker

50 + 30 + 10 = 90

revenue is the amount earned from selling the chairs. it is equal to 150

Profit = 150 - 90 = 60

Other Questions
What is the most important part of the cell after the Nucleus? how do people acquire immunity?a) through breastfeeding b) through a shot c) through antigens d) through inflammation What was the range of annual wages for each laborer at Huancavelica? What is the IQR? Please help Which of the following expressions represents 237.45 written in expanded form in terms of the sums of powers to tens 1. An organ which receive the waste product carried by the blood. 4. It is a gas that the body needs. 6. It is a combination of hemoglobin and oxygen that enters the body. 7. The respiratory and digestive work as it absorbedthat beingdistributed through the body. 10. The system responsible for digestion of foodDown:2. The ability to maintain a relatively stable internal state that persist despitechanges in the world outside,3. The respiratory and circulatory work together by exchanging of5. The signal that circulatory system carries that control the speed of digestion. 8. The system responsible of exchange of gases9. The system carries nutrients to the entire body cells. expert that helps you learn core concepts.See AnswerRaul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.f(x) = 2x2 + 16g(x) = 5x^3 What did the police threaten to do? How does the author use literary devices and elements in order to create a relationshipbetween Tayo and the setting? Find the missing length of the figure. In the novel "In Cold Blood," what is the significance of the American Dream? Why do cloned calico cats look different? Two-hundred people are at a wedding. The dinner tables seat 10 people. Howmany tables are needed to seat all of the guests?tables What do we call the process that reduces cultural diversity due to foreign influences that inundate local practices, products, and ways of thinking anyone else ~running low on serotonin~??? Whats a SMART goal? I literally went thru my book 10 times and i cant find itS=?M=?A=?R=?T=? The diagram shows a triangle.13.4 cm17.6 cmWork out the area of the triangle. What is the domain of ? You want to ride your bike down the street to your friend's house, which is 340 meters from your house. The trip takes you 68 seconds from start to finish. How fast are you traveling on your bike? Electromagnetic waves are commonly referred to as _________O electricityO magnetismO light