WILL GET 100 PTS!

Juan builds this pedestal for a trophy.

What is the volume of the pedestal?

WILL GET 100 PTS! Juan Builds This Pedestal For A Trophy.What Is The Volume Of The Pedestal?

Answers

Answer 1

Answer:

112 in³

------------------------------------

The pedestal is the combination of two rectangular prisms.

One of them has dimensions:

9 in by 2 in by 4 in

Its volume is:

V = 9*2*4 = 72 in³

The other one has dimensions:

(9 - 2 - 2) = 5 in by 2 in by 4 in

Its volume is:

V = 5*2*4 = 40 in³

Total volume is:

72 + 40 = 112 in³
Answer 2

Answer:

112 in³

Step-by-step explanation:

The pedestal is made up of two rectangular prisms.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Volume of a rectangular prism}\\\\$V=w\cdot l\cdot h$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width of the base. \\ \phantom{ww}$\bullet$ $l$ is the length of the base.\\\phantom{ww}$\bullet$ $h$ is the height of the prism.\\\end{minipage}}[/tex]

The dimensions of the largest rectangular prism are:

w = 2 inl = 9 inh = 4 in

Therefore, the volume of the largest rectangular prism is:

[tex]\begin{aligned}\implies V&=2 \cdot 9 \cdot 4\\&=18 \cdot 4\\&=72\;\rm in^3\end{aligned}[/tex]

The dimensions of the smaller rectangular prism are:

w = 2 inl = 9 - 2 - 2 = 5 inh = 4 in

Therefore, the volume of the smaller rectangular prism is:

[tex]\begin{aligned}\implies V&=2 \cdot 5 \cdot 4\\&=10\cdot 4\\&=40\;\rm in^3\end{aligned}[/tex]

The volume of the pedestal is the sum of the volumes of the largest and smaller rectangular prisms:

[tex]\implies V=72+40=112\; \rm in^3[/tex]

Therefore, the volume of the pedestal is 112 in³.


Related Questions

Please Help! Brainliest Available!!!!!

Answers

Using the z-distribution, the test statistic is:

c) -2.63.

What are the hypothesis tested?

At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the alternative hypothesis, we test if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

What are the mean and the standard error for the distribution of differences?

For each sample, they are given as follows:

[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex].[tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex].

For the distribution of differences, it is given by:

[tex]\overline{x} = \mu_D - \mu_C = 12 - 14 = -2[/tex].[tex]s = \sqrt{s_D^2 + s_C^2} = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{-2 - 0}{0.76}[/tex]

z = -2.63.

More can be learned about the z-distribution at https://brainly.com/question/13873630

#SPJ1


Simplify (x + 5)2 using the square of a binomial formula.
x² + 10x + 25
x²-10X-25
x²-10x+25
x² + 10x - 25

Answers

Answer:

[tex]x^2 + 10x + 25[/tex]

Step-by-step explanation:

Hello!

Formula: [tex](a +b)^2 = a^2 + 2ab + b^2[/tex]

a = xb = 5

Plug it into the formula and simplify.

Simplify[tex](a +b)^2 = a^2 + 2ab + b^2[/tex][tex](x +5)^2 = x^2 + 2(x)(5) + 5^2[/tex][tex](x +5)^2 = x^2 + 10x + 25[/tex]

The answer is the first option: [tex]x^2 + 10x + 25[/tex].

Answer:

x^2-10x+25

Step-by-step explanation:

This is the correct answer

Can someone walk me through this please?

Answers

Here it is.Hope it helpful

a vendor is thinking about changing the number of sweatshirts he brings to tan event. to make sure he doesn't run out, he plans to bring more of the size most likely to be sold. the table shows the number of sweatshirts of each size sold at the vendors last event and the number he had for sale. which size should he bring more of?

Answers

The sweatshirt size which the vendor should bring more of by virtue of that which is most likely to be sold is; Choice A; Extra-large.

Which sweatshirt size should the vendor bring more of?

If follows from the task content that the

ratio of extralarge shirts sold relative to the quantity he had to sell is

= 99/108

= 11/12,

This is a ratio which is larger than any other shirt.

Consequently, the vendor must bring more of the X-large shirts to avoid running out of them.

Read more on ratios;

https://brainly.com/question/13513438

#SPJ1

GO
Tweaks
Menu
Search
Selection
Guess
this
Toggle
Console
Proving a uadrilateral is a Parallelogram
Assignment Active
Determining Side Lengths in a Parallelogram
In quadrilateral ABCD, AD 1, BC.
3x+7
D
A
B
5x-9
What must the length of segment AD be for the
quadrilateral to be a parallelogram?
O 8 units
O 16 units
O 31 units
O 62 units

Answers

Answer:

31 units

Step-by-step explanation:

If a quadrilateral has a pair of sides that is both parallel and congruent, then the quadrilateral is a parallelogram.

Sides AD and BC are given as parallel.

If they are also congruent, then quadrilateral ABCD is a parallelogram.

3x + 7 = 5x - 9

-2x = -16

x = 8

AD = 3x + 7

AD = 3(8) + 7

AD = 31

Answer: 31 units

Rafael earns $35 more per week than Andrew. If their weekly salaries total $715, what amount does each earn?

Answers

Answer:

Rafael earns $375

Andrew earns $340

Step-by-step explanation:

Here, we will set up a system of equations where r represents Rafael and a represents andrew.

r = a + 35

r + a = 715

Next, we substitute a + 35 for r in the second equation.

(a + 35) + a = 715 (combine like terms)

2a + 35 = 715 (subtract 35 from both sides)

2a = 680 (divide both sides by 2)

a = 340

To solve for r, we can plug 340 for a into either equation.

r = (340) + 35

r = 375

We can double check by plugging both values into the other equation.

375 + 340 = 715 (yes, it works!)

Brainliest, please :)

Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A

The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.

Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)

Create a graph of the polynomial function you selected from Question 2.

Answers

From the information given about the polynomial function, It is correct to state that there is a way for both of them to be correct. See the explanation below and the attached for the graph related to the second question.

What is the explanation for the above?

A polynomial could only have a number of zeros equal to its degree. A third degree polynomial can thus have three zeroes, but Ray claims the polynomial has four Intercepts.

While the words "zeroes" and "intercepts" are sometimes used interchangeably, a zero is officially an x-intercept. A function can also have a y-intercept, therefore a cubic can have four intercepts in total, albeit only three will be zeroes.

The zeros of g(x)= x3-x2-4x+4 are -2,2, and 1. End behavior, the Y- intercept, the axis of symmetry, and the vertex are other important characteristics of polynomial functions.

Learn more about polynomial functions at;
https://brainly.com/question/2833285
#SPJ1

Graph the function f(x) = 2√x +3.

Answers

The graph is shown in the attached image.

A sweater is selling for ½ off the original
price. Which number is equivalent to
A 0.23
B 33.3%
C 6.6
D 66.6%

Answers

Answer:

Step-by-step explanation:

it would be D

Explain the box and whisker plot in detail.

Answers

Based on the box and whisker plot shown above, we can infer and logically deduce that the number of lepilemures have a minimum at 0 but are well spread.

What is a box and whisker plot?

A box and whisker plot is also referred to as boxplot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:

MinimumFirst quartileMedianThird quartileMaximum

By critically observing the box and whisker plot shown above, we can infer and logically deduce that the data (number of lepilemures) have a minimum at 0 but are well spread.

Read more on boxplots here: https://brainly.com/question/14277132

#SPJ1

Which choice is equivalent to the quotient shown here for acceptable values of x?

Answers

The expression [tex]\sqrt{\frac{5}{x-1} }[/tex] is equivalent to the given quotient.

Option A is correct.

When we divide one number by another, the result is a quotient. Although a quotient can be greater than the divisor, it will never be greater than the dividend.

In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.

After the division has been done, the quotient is obtained. This signifies that the quotient is the result of dividing a dividend by a divisor.

According to the question,

[tex]\sqrt{25(x-1)}[/tex] ÷ [tex]\sqrt{5(x-1)^{2} }[/tex] =  5[tex]\sqrt{x-1}[/tex] ÷ (x-1)[tex]\sqrt{5}[/tex]

                                     =  [tex]\sqrt{\frac{5}{x-1} }[/tex]

Learn more about quotient here:

https://brainly.com/question/673545

#SPJ1

Which function is graphed? ​

Answers

Answer: A

Step-by-step explanation:

The parabola has an open hole at x=3 and the line has a closed hole at x=3, so there should be [tex]x < 3[/tex] for the parabola and [tex]x \geq 3[/tex] for the line.

This eliminates all the options except for A.

I need a good answer, with a good explanation.

Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens.

Write an expression to represent the total number of tokens that Janie and Jasmine will need to play each of the three games at least once. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; p represent the number of games that require 4 tokens.

Answers

The expression to represent the information will be 2(2m + 3n + 4p)

How to illustrate the expression?

From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.

There are m number of games required.

There are n number of games that require 3 token.

Therefore, the expression to represent the information will be:

= 2(2 × m) + 2(3 × n) + 2(4 × p)

= 2(2m + 3n + 4p)

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

The other person who answered is incorrect!! The real answer is 2m + 3n + 4p

Step-by-step explanation:

have a good besti!!!!

-leeknowishawt

Maths Trigonometry Question
40 Points!
Will give brainliest to whoever answers

Answers

The calculation of the trigonometry illustrates that:

sin 45° = 1/✓2

cos45/tan 45 =

cos 45 sin 45 = 1/2

How to illustrate the trigonometry?

Opposite = 1

Adjacent = 1

Hypothenuse = ✓2

Tan 45 = opposite/adjacent = 1

Sin 45 = opposite/hypothenuse = 1/✓2

Cos 45 = adjacent/hypothenuse = 1/✓2

cos45/tan 45 = (1/✓2) / 1 = 1/✓2

Cos 45 sin 45 = 1/✓2 × 1/✓2 = 1/2

Learn more about trigonometry on:

brainly.com/question/24349828

#SPJ1

I need help with this geometry question asap!

Answers

Answer:

  A, D

Step-by-step explanation:

Lines are parallel if consecutive interior angles at a transversal are supplementary.

Application

In the given figure, angles EAH and AED are consecutive interior angles associated with transversal AE. If they total 180°, then AC║EF.

Similarly, angles FCI and CFG are consecutive interior angles associated with transversal CF. If they total 180°, then AC║EF.

Either of these will prove AC║EF:

∠EAH +∠AED = 180°∠FCI +∠CFG = 180°

5. A 12-ounce jar of jam costs $2.40. A 16-ounce jar costs $4.00. What is the
difference in the cost per ounce?
$
per ounce

Answers

The difference in the cost per ounce is $0.05 per ounce

Fractions and proportion

Fractions are written as the ratio of two integers

If a 12-ounce jar of jam costs $2.40, the cost per ounce will be:

Unit cost = 2.40/12

Unit cost = $0.2

Similarly, if a 16-ounce jar costs $4.00, the price of a ounce will be:

Unit cost = 4/16

Unit cost. =$0.25

difference = $0.25 - $0.2

difference = $0.05

Hence the difference in the cost per ounce is $0.05 per ounce

Learn more on unit price here: https://brainly.com/question/7718596

#SPJ1

find the slope of this line.

Answers

Answer:

4/5

Step-by-step explanation:

SImply use slope formula. We see the graph has defined points at (5, 4), and (-5, -4).

m=(Y2-Y1)/(X2-X1)

(4-(-4))/(5-(-5))=8/10

Simplify 8/10

=4/5

Which of the following best describes the pattern in the diagram shown
below?
1
2
3
O A. As you move from left to right, the number of points in the star
decreases by 1.
O B. As you move from left to right, the number of points in the star
increases by 1.
C. As you move from left to right, the number of points in the star
remains the same.
OD. As you move from right to left, the number of points in the star
increases by 1.

Answers

As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.

What is a Point?

This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.

We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.

Read more about Point here https://brainly.com/question/17206319

#SPJ1

what is the pattern 324,256,196,144

Answers

The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

What is a sequence?

A sequence is a set of things next to each other in a set order. It is also referred to as a series.

According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.

18² = 324

16² = 256

14² = 196

12² = 144

Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.

Learn more about pattern at: https://brainly.com/question/19819125

#SPJ1

D
C
63. If AD 20 centimeters, DC= 15 centimeters,
BC=7 centimeters, and AB = 24 centimeters,
what is the area of quadrilateral ABCD?
A. 66 sq cm
B.
B
117 sq cm
C. 234 sq cm
D.
468 sq cm

Answers

The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

What is the area of the quadrilateral?

Herein we have a description of an irregular quadrilateral, whose area must be determined by adding the areas of minor quadrilaterals and triangles that are part of it. The area is now determined:

A = 0.5 · (24 cm) · (7 cm) + 0.5 · (15 cm) · (20 cm)

A = 234 cm²

The area of the irregular quadrilateral ABCD is equal to 234 square centimeters. (Correct choice: C)

Remark

The picture with the quadrilateral is missing and is included as attachment.

To learn more on quadrilaterals: https://brainly.com/question/13805601

#SPJ1

Tell wether 3 is a solution of each inequality


x-7> -5; x = 3


-3x< - 12.5 ; x=3

Answers

First inequality, 3 is a solution.
Second inequality, 3 is not a solution.

Hope it helps : )

if a = { 1,2,3,...,10} and U={1,2,4,8} then find A'​

Answers

Answer:

U-A empty

Step-by-step explanation:

all in a is in u in u is in a therfore empty is found on u but not in a

Find f(-3) for f(x) = 4(2)^x.

Answers

Answer:

1/2

Step-by-step explanation:

[tex]f( - 3) = 4 {(2)}^{ - 3} = \frac{1}{2} [/tex]

Solve 15.9 = 11.3 + b for b

Answers

Answer:

subtract 11.3 from 15.9 and b is 4.6

Step-by-step explanation:

When a function is evaluated with a zero, it represents:

-the initial amount or starting point before a certain time.

-the initial amount or starting point.

-the initial amount or starting pint after a certain time

Answers

Answer: the initial amount or starting point.

Step-by-step explanation:

If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 5.
(0, 1, 2, 3, 4,5)

Answers

Answer:

5/25

Step-by-step explanation:

¿cuál es el número que no pertenece a esta suceción 99,105111,117,123,129,135,141,147,153

Answers

No hay ninguno de los nimbers que no pertenezca a la secuencia.

¿Qué número no pertenece a la secuencia?

Sabemos que una secuencia tiene que ver con un arreglo de números en un orden definido. Todos los números en una secuencia deben tener la misma razón común o diferencia común.

Si miramos todos los números que están escritos en la secuencia, la diferencia común aquí es seis. Se sigue entonces que todos los números son parte de la sucesión y no hay ninguno de los números que no pertenezca a la sucesión.

Obtenga más información sobre la secuencia: https://brainly.com/question/21961097

#SPJ1

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
3x4
Name? [?]
Degree? [ ]

Answers

Answer:

monopoly, order 1

Step-by-step explanation:

because the x has just power of one that is why is monopoly and in order 1

can someone please help me with this

Answers

Answer is x = 98
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.

Which of the following are equations for the line shown below? Check all that
apply.
(-4,3)

(4,-5)
A. y=-x-1
B. y+ 5=-(x-4)
C. y-3 = -(x+4)
D. y=-x-9

Answers

Answer: A, B, C

Step-by-step explanation:

[tex]m=\frac{-5-3}{4-(-4)}=-1[/tex]

Substituting into point-slope form, we get [tex]y-3=-(x+4)[/tex] and [tex]y+5=-(x-4)[/tex]. Rearranging this into slope-intercept form,

[tex]y-3=-(x+4)\\\\y-3=-x-4\\\\y=-x+1[/tex]

Other Questions
What song follow the pop song 4 chord pattern, D | A | Bm | G * If there is zero total force acting on the refrigerator, the refrigerator wouldA) slow downB) speed up C) remains the same speedD) slow down, change direction and then speed up going the other way E) remains at the same speed, but changes direction What is 859 divided by 3? use this strategy get the answer. List the first five prime numbers If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur? 4. (Claim 1 Example)Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.H16 ftLadder20 ft0GroundSelect all equations that can be used to solve for e.1212sino =cos 0 =A.20B.20tanC.122016sin =2016cos O =20tan1620D.E.F. halp my mental health im glued on animal crossing how do I stop...lol HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG Lowe's put an advertisement out looking for a department Asst. Manager. They pay$850 weekly. If Joshua accepts the job, what will he make annually Which of the following conditions create a triangle?Angles: 45, 45, 90Angles: 120, 40, 30Angles: 18, 84, 98Angles: 170, 2, 8 In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagonals. Find the length of the segment that is cut from that line by the legs of the trapezoid. Plz explain thx Help ASAP plz ASAP please It takes Alia 7 minutes to run one mile m .Which equation can be used to show the relationship between Alias number of miles, ,and the total time of her run t 7t = m7m = t7+m = tm-7 = t In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find. a. Equation representing the number os students. b. The number of Boys and Girls. Someone, please translate this!!Please hurry! HELP AND WILL GIVE BRAINLIEST!!! Solve for x Write a narrative about a time when you broke the rules. Show readers what you learned from the experience. (Maybe you regretted it. Or, maybe you made the right choice!) Please help me. 10/27=a/135 what is the answer for this equation? Read this excerpt from The Golem.INT. THE MIND OF RABBI LOW. CONTINUOUS.In a dream Rabbi Low sees fantastic versions of the symbols and shapes from his book, against a constantly shifting background.Rabbi Low is surrounded by townspeople, pleading with him to help them. Their cries grow louder.Rabbi Low reaches out for them, but his arms pass through them. They dissolve like mist. Their images are replaced by laughing, cruel faces. Rabbi Low shakes away these visions with his arms.What do the stage directions show the reader about Rabbi Lows viewpoint?he fears symbols and shapeshe fears Pearl will reject himhe is afraid for his townspeoplehe is afraid of his dreams Select the appositive or appositive phrase.William Shakespeare, the revered English playwright, wrote plays more than fourhundred years ago that, even now, continue to influence people around the world.