Find the volume of the figure

Find The Volume Of The Figure

Answers

Answer 1

Answer:

66 ft³

Step-by-step explanation:

The figure can be divided into a cuboid and a triangular prism.

Volume of the cuboid = l × w × h

Where l = 6ft, w = 3 ft and h = 2 ft

Volume = 6 × 3 × 2 = 36 ft³

Volume of  the triangular prism = Cross sectional area × Width

Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width  = 3 ft

Volume = 10 × 3 = 30 ft³

Total volume = Volume of the cuboid + Volume of the triangular prism

∴ Volume of the figure = 66 ft³


Related Questions

find the difference between 1, 407 and 699​

Answers

Answer:708

Step-by-step explanation:

Which of the following relations is a function?
OA. (-8,0), (-2,5), (-8, -3), (1,9)
OB. (-8, 2), (-2,3), (1, 7), (7,2)
OC. (-2,-2).(-8,-5), (1,8), (1, 2)
OD. (7,-10), (-8, 7), (7,6), (-8, 12)

Answers

The answer is b. I hope this helps.

help with math please will give 5 stars and brainlyist

Answers

The answer is 48 (squared)

A = hb/2 = 8*12/2 = 48 (squared)

Which set of sides will make a triangle? 1 cm, 3 cm, Icm 10 cm, 5 cm, 9 cm 5 cm, 2 cm, 3 cm 10 cm, 3 cm, 4 cm​

Answers

Answer:

5cm, 9cm, 10cm

Step-by-step explanation:

A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.

Answers

Answer:

5

Step-by-step explanation:

Area of right angle Triangle:

6.5 * 9 * 1/2 = 29.25

2nd way to find area:

1/2 * base * height

Since we have area and base:

1/2 * 11.1 * h = 29.25

= 5.27m

= 5m (nearest tenth)

The height h of the roof to the nearest tenth is 5.3 m

Right angle triangle:

Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.

Therefore,

11.1 / 6.5 = 9 / h

cross multiply

11.1 h = 9 × 6.5

11.1 h = 58.5

divide both sides by 11.1

11.1 h / 11.1 = 58.5 / 11.1

h = 5.27027027027

h = 5.3 m

learn more on right triangle here: https://brainly.com/question/4280778

For the function f(x) = 5x + 4
Find f(6)

Answers

Answer:

f(6) =34

Step-by-step explanation:

f(x) = 5x + 4

Let x= 6

f(6) = 5*6 +4

     = 30 +4

     = 34

write 11.3826 to the nearest thousand​

Answers

Answer:

11.383

Step-by-step explanation:

the third place is the thousandths.

By rounding 11.3826 to the nearest thousand, we get 11.383.

What is the method of rounding a number?

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.2358 rounded to the nearest thousand is 0.236.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.7231 rounded to the nearest thousand is 0.723.

Given number is 11.3826.

Rounding to nearest thousand, we get:

11.3826 ⇒ 11.383.

Learn more about rounding a number to nearest thousand here: https://brainly.com/question/24234983

#SPJ2

k+12=23
plsssss help

Answers

11 i believe
yeahhhhhhh

I will give brainiest to the person who answers this

Find the length of arc AB. Use 3.14 for 7.
Round to the nearest tenth.
h 7.9 cm
B
66 49
D
[? ]cm

Answers

Answer:

12.4

Step-by-step explanation:

[tex]AL= 2r\pi (\frac{angle}{360} )[/tex]

[tex]AL= 2(7.9)(\pi )(\frac{90}{360})\\[/tex]

Can someone please help me with these 2 problems

Answers

Answer:

uhururfjfhfufjfjfjfjfjfif

Answer:

I believe the first one is 250

the second one I haven't got a clue

A snack is 5 parts peanuts and 2 parts raisins. How many pounds of peanuts should be mixed with one-half pound raisins

Answers

One and one fourths pounds aka 1 1/4 or 1.25

Suppose the probability that it will rain tomorrow is 0.59. What is the probability that it will not rain tomorrow?

Answers

Answer:

0.41

Step-by-step explanation:

All probability equals 1. So if the probability that something will happen is x, then the probability that it will not happen is 1-x

1.1.
A quadratic pattern has a second term equal to 1, a third term equal to -6 and a fifth term equal to
- 14.
1.1.1. Calculate the second difference of this quadratic pattern.
(5)

Answers

The second difference of this quadratic pattern is 2.

The first term of this quadratic pattern is 10.

Quadratic pattern

A sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Therefore,

let the first and fourth term be a and b.

Therefore,

first difference:

1 - a; - 6 - 1 = -7; b + 6; -14 - b;

Second difference:

The second difference is constant . Therefore,

-7  - (1 - a) = -8 + a; b + 6 + 7 = b + 13; -14 - b - b - 6 = -2b - 20;

Therefore,

b + 13 = -8 + a

b  - a = -21

Then,

-2b - 20  = b + 13

-3b = 33

b = 33 / -3

b = - 11

Therefore,

- 11 - a = - 21

-a = -21 + 11

-a = -10

a = 10

Hence, the second difference = b + 13 = -11 + 13 = 2

First term = a

Therefore,

a = 10

learn more on quadratic pattern here:https://brainly.com/question/21517782

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

Answers

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: [tex]N - C > 5[/tex]

Distribution N - C:

The mean is:

[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]

The standard deviation is:

[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - 10}{7.3937}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

y∝1√x
If
y=7 when x=64
find,
x when y=8

Answers

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

Helpp with math!!!!!!!!

Answers

I think the area is 63. Sorry if it is incorrect.

If I save 500$ per month, for 12 years how much money will I have ?

Answers

Answer:

I think its 72,000

Step-by-step explanation:

there's 144 months in 12 years and i just multiplied it by 500

URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answers

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

find the area under the standard normal curve to the right of z=−2.28 z = − 2.28 .

Answers

The area is timesing it to make 39929239

if tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

Answers

Answer:

[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]

Step-by-step explanation:

Given

[tex]tan\theta = 3[/tex]

Required

Find

[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex]

Calculate [tex]tan(\theta + \pi) \ and\ tan(\theta+2\pi)[/tex]

Using tan rule

[tex]tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}[/tex]

So:

[tex]tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]

[tex]tan(\theta + \pi) = \frac{tan\theta}{1 }[/tex]

[tex]tan(\theta + \pi) = \tan\theta[/tex]

[tex]tan(\theta+2\pi)[/tex]

[tex]tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}[/tex]

[tex]tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}[/tex]

[tex]tan(\theta + 2\pi) = \tan\theta[/tex]'

'So:

[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)[/tex] [tex]= tan\theta +tan\theta +tan\theta[/tex]

[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3[/tex]

[tex]tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9[/tex]

what is the value of p in 24 = 2p​

Answers

Answer. So p=12.


explanation:
I’m pretty sure 12 is the answer.





A manufacturing company produces 3 different products A, B, and C. Three types of components, i.e., X, Y, and Z, are used in the production of these products. One unit of product A requires 2 units of X, 2 units of Y, and 2 units of Z. One unit of product B requires 1 unit of X, 3 units of Y, and 2 units of Z. One unit of product C requires 1 unit of X, 2 units of Y, and 3 units of Z.Currently, the company has no existing inventory of the components. The company can purchase X at the price of $20 per unit but no more than 300 units due to the supplier's limited capacity constraint. The company can purchase Y at the price of $30 per unit without any upper limit. The company can purchase Z at the full price of $25 per unit for the first 100 units but the per unit price drops to $20 for the remaining units if any i.e., the purchase quantity in excess of 100 units). The market prices of the three products are $200 for A, $240 for B and $220 for C. The company knows that the demand for products A, B, and Care equal to 100, 80, and 90 units, respectively. Therefore, the company should not produce more than the demand for each product. However, the company incurs a per unit penalty of $40 for any unsatisfied demand. The company needs to decide the component płarchase plan and the production mix decisions to maximize its profits subject to all the business constraints described above. Formulate the company's problem as an optimization problem, i.e., providing the mathematical expressions for the decision variables, the objective function, and the constraints.

Answers

Answer:

Step-by-step explanation:

Using the Excel Formula:

Decision    Variable        Constraint              Constraint

A                     65                          65                         100

B                     80                          80                         80

C                     90                         90                          90

                      14100                    300                        300

= (150 *B3)+(80*B4) +(65*B5)-(100-B3+80-B4+90-B5)*90

Now, we have:

Suppose A, B, C represent the number of units for production A, B, C which is being manufactured

                             A              B                  C                Unit price

Need of X          2                 1                   1                     $20

Need of Y           2                3                  2                    $30

Need of Z           2                2                  3                    $25

Price of  

manufac -      $200          $240            $220      

turing

Now,  for manufacturing one unit of A, we require 2 units of X, 2 units of Y, 2 units of Z are required.  

Thus, the cost or unit of manufacturing of A is:

$20 (2) + $30(2) + $25(2)

$(40 + 60 + 50)

= $150

Also, the market price of A = $200

So, profit = $200 - $150 = $50/ unit of A

Again;

For manufacturing one unit of B, we require 1 unit of X, 3 units of Y, and 2 units of Z are needed and they are purchased at $20, $30, and 425 each.

So, total cost of manufacturing a unit of B is:

= $20(1) + $30(3) + $25(2)

= $(20 + 90+50)

= $160

And the market price of B = $240

Thus, profit = $240- $160  

profit = $80

For manufacturing one unit of C, we have to use 1 unit of X, 2 unit of Y, 3 units of Z are required:

SO, the total cost of manufacturing a unit of C is:

= $20 (1) + $30(2) + $25(3)

= $20 + $60 + $25

= $155

This, the profit = $220 - $155 = $65

However; In manufacturing A units of product A, B unit of product B & C units of product C.

Profit  --> 50A + 80B + 65C

This should be provided there is no penalty for under supply of there is under supply penalty for A, B, C is $40

The current demand is:

100 - A

80 - B

90 - C respectively

So, the total penalty

[tex]{(100 - A) + (80 - B) +(90 - C) } + \$40[/tex]

This should be subtracted from profit.

So, we have to maximize the profit  

[tex]Z = 50A + 80B + 65C = {(100 -A) + (80 - B) + (90 - C)};[/tex]

Subject to constraints;

we have the total units of X purchased can only be less than or equal to 300 due to supplies capacity

Then;

[tex]2A + B +C \le 300[/tex] due to 2A, B, C units of X are used in manufacturing A, B, C units of products A, B, C respectively.

Next; demand for A, B, C will not exceed 100, 80, 90 units.

Hence;

[tex]A \le 100[/tex]

[tex]B \le 80[/tex]

[tex]C \le 90[/tex]

 

and [tex]A, B, C \ge 0[/tex] because they are positive quantities

The objective is:

[tex]\mathbf{Z = 50A + 80B + 65 C - (100 - A + 80 - B + 90 - C) * 40}[/tex]

A, B, C [tex]\to[/tex] Decision Varaibles;

Constraint are:

[tex]A \le 100 \\ \\ B \le 100 \\ \\ C \le 90 \\ \\2A + B + C \le 300 \\ \\ A,B,C \ge 0[/tex]

Whichever answer is correct will get brainliest!
Find the value of x. Round to the nearest tenth. 35 12. х x = [?] Enter​

Answers

Answer:

Round to the nearest tenth. 35 12. х x = [?] Enter​

Step-by-step explanation:

The perimeter of a rectangular painting is 340cm. If the width of the painting is 74cm, what is its length?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

Length + Width + Length + Width = Perimeter

Length + 74 cm + Length + 74 cm = 340 cm

74 + 74 = 148

340 - 148 = 192

192 ÷ 2

96

Check:

74cm + 96cm + 74cm + 96cm = 340 cm

lisa spent $21 on diapers. if they cost $7 package, how many packages did she buy

Answers

Lisa bought Three packages of diapers

Answer:

3 packages

Step-by-step explanation:

first we need to make this into a equation that we can solve!

x = 21/7

if we use our times tables then we know that

7 * 3

= 21

so knowing what we know, lets go back to the question/ equation!

21/7

= 3

( if you wanted, that could also be a way to double check you answer :)

hope this helped you and if you have any more questions then please ask me! :)

PLS HELP ME!!! i’ll give you a brainliest answer :)

Answers

Answer:

B is the correct answer

The graph shows different types of books in a class library.
Books In Our Library
Number of Books
ou to use
45
40
35
30
25
10
Animal
History Science Sports Weather
Type of Books
How many more animal books are there than history and sports books?
O A 15
Ов. 25
O c. 35
D. 45
E. 50

Answers

Answer:

Step-by-step explanation:

Its c

Please help me on this answer I am 1 week behind

Answers

you would do 1 1/4 times 2 1/4. I don’t have a calculator with me right now sorry


Bryce grew
33 inches each year for the past 4 years. How many inches total has Bryce grown in the
past 4 years ?

Answers

Answer:

132 inches

Step-by-step explanation:

33 x 4 = 132 inches

Helping to give out points!! Whoever solves the math riddle correctly with a brief explanation will get brainliest and a thanks (the other answers will just get a thanks).

Riddle: I have a big family. I am 16 years old. My sister Reina is 22 years old. The twins are 14 years old. Susana is 10 years old and my brother Robert is 7 years old. If the total number of our ages added together is 100, how old is Albert?

Answers

Answer:

Robbert is 7

Step-by-step explanation:

because you already said it

Albert is 17!
(extra text for character minimum)
Other Questions
How do you simplify X^-7? story: the secret garden (no links + explain your answer)1) Within a few minutes of meeting Colin, Mary realizes they have much in common. What are the negative qualities they share? What are the positive ones? Explain your answer.2)Early in the novel, when the servant girl Martha asks Mary if she likes herself, Mary answers, no, she doesn't. Do you think Mary still dislikes herself by the end of the novel? Why or why not? Give at least 3 examples of evidence, such as "Mary likes herself because..." what is the surface area of this square pyramid with a base length of 4 centimeters and slant height of 9 centimeters? HELP PLEASE!!!! |x-(-12)| if x>-12ill give brainlyest if corect 14. Which are the most common gases emitted byvolcanoes?A. hydrogen and heliumB. oxygen and nitrogenC. water vapor and carbon dioxideD. chlorine and hydrogen 1. Why do Ponyboy and Johnny seek out Dally when they need help?He is nearby and available when they need help.He is the one person who most likely knows what to do.He is the most reliable member of the gang.He is the one friend who will not get angry and turn them into the police.2. What is the first step in determining the perspectives of different characters?identifying why characters behave the way they doidentifying an important event in the noveldetermining which characters are the most importantidentifying which characters' responses are described the most3. When Johnny is attacked by the Socs, he is the only major character involved; however, Ponyboy describes how the greasers responded. Why is Ponyboy's description important?Since you know how all the boys responded, you know the story is told from third-person omnisicent point of view.Since you know how only some of the boys responded, you know the story is told from third-person limited point of view.The reader knows how most members reacted, which gives you insight into their perspective.You know the most about how Johnny reacted, which only gives insight into his perspective Which of the US cities shown on the map has the largest population?Philadelphia, PAChicago, ILJacksonville, FLNew York City, NY I need help ASAP.......If you were interviewing someone what questions would you ask??? i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks Which statement accurately compares a radio wave and an infrared wave? *A radio wave has a longer wavelength and a lower frequency than an infrared waveA radio wave has a shorter wavelength and a lower frequency than an infrared waveA radio wave has a longer wavelength and a higher frequency than an infrared waveA radio wave has a shorter wavelength and a higher frequency than an infrared way Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates Someone, please help me I have no idea what I'm doing... Help!!!! please!!! i will give brainliest!! Find the area what coordinate points (x,y) represents how far the vacuum travels in two and a half minutes can someone please help me?????? A rectangular rug is 12' long and 16' wide. A rhombus design is formedinside the rug by joining the midpoints of each side of the rectangle. Whatis the length of each side of the rhombus?* What is the solution to the system of equationsY=x+6Y= -0.5x+3 Simplify: 3x + 6y - (4x - 2y) ILL GIVE YOU BRAINLIEST PLEASE ANSWER What would you change about yourself if you could?