A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10 units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units. Which expression represents the volume, in cubic units, of the shaded region of the composite figure?

Answers

Answer 1

The expression is 1/2(14)* 10*8- π (2.5)² *8.

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

Prism: side length  base= 14 units and 10 units

Cylinder  d= 5 units

So, Volume of prism

=1/2(14)* 10*8

and, Volume of cylinder

= π (2.5)² *8

As, the cylinder is cut out then the expression would be

=1/2(14)* 10*8- π (2.5)² *8

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2


Related Questions

Read each sentence. Write the correct comparative form of the adverb in parentheses on the line provided.
1. I can run (fast) than my brother.
2. Our father run (quickly) of all.
3. He trains (often) than my brother does
4. He enjoys running (fully) than biking.
5. Even so,he practices swimming (seriously) of all.
6. I prefer team sports (strongly) than other sports.
7. I can throw (accurately) than our team’s other pitcher.
8. In the entire league, she pitches (wildly) of all.
9. Our final game will be here (soon) than we expect.
10. The audience will cheer (loudly) of all during our final inning.

Answers

It is 9 for sure. Trust me

Answer:

Step-by-step explanation:

ur mom

Write an explicit formula for the sequence. Use this, to find the 80th term of the sequence that begins: -3,1,5,9....

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

9 - 5 = 5 - 1 = 1 - (- 3) = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4, thus

[tex]a_{n}[/tex] = - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7 ← explicit formula

Thus

[tex]a_{80}[/tex] = 4(80) - 7 = 320 - 7 = 313

Please Help Will Mark Brainliest

Answers

Answer:

the way i put these numbers is the way the numbers go on the chart

15  25  25  65

10  5   20   35

25  30 45  100

Step-by-step explanation:

Answer:

A| 15 | 25 | 25 | 65

D| 10 | 05 | 20 | 35

T| 25 | 30 | 45 | 100

A: agree

D: Disagree

T: Total

Classify the triangle shown below. Check all that apply.

Answers

The shown triangle is scalene and right, so the correct options are C and F.

How to identify the shown triangle?

First, we can see that the 3 sides have different measures. So the triangle is Scalene (and we discard options A and E).

We also can see that one of the angle is 90°, which means that we have a right triangle. So option C is correct. (And we discard B and D).

Concluding, we have a scalene right triangle. So the correct options are C and F.

If you want to learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

Answer:

Right and Scalene

Step-by-step explanation:

when classifying a triangle by its
sides, what type of triangle has no
equal sides?
A.Isoceles
B.Supplementary
C.Equilateral
D.Scelene

Answers

Answer:

D) Scalene

Step-by-step explanation:

In a scalene triangle all three sides have different measures, therefore a scalene triangle does not have any congruent sides. An isosceles triangle has two sides that have the exact same measure. And a triangle where all three sides have the same measure is called an equilateral triangle.

Hope this helps

Which ratio is equal to 2/3?

A: 6/6

B:5/9

C: 6/9

D: 5/6

Answers

Answer:

C

Step-by-step explanation:

To get 6/9, you would multiply the numerator 2 by 3, and the denominator 3 by 3, to get 6/9.

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

1-segment EF over segment LM equals segment FG over segment MN
2-segment EF is congruent to segment LM
3-segment EF over segment LM equals segment EG over segment LM
4-segment EG is congruent to segment LM

Answers

Answer:

A

Step-by-step explanation:

EF over LM = FG over MN

what three numbers multiply to get 158?

Answers

Answer:52.6

Step-by-step explanation:

Answer:

2x79=158

79x2=158

158x1

Which table represents a function? sorry the image is sideways.​

Answers

It is the table in the orange box

Answer:

The one with the orange background represents function.

Step-by-step explanation:

x-coordinates:-2, -1, 0, 1, 2

y-coordinates: -1,-1,0,1,2

please help i’m so annoyed with this

Answers

Answer:

299 cm

Step-by-step explanation:

13*46÷2=299

Answer:

A = 299 cm^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

The base is 46 and the height is 13

A = 1/2 (46) 13

A =299

Can any one help me with volume? plz

Answers

Volume is usually h*b*w. It depends on the shape you are using. Do you have a specific example you need help with?

Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
He should take the sample as is because he randomly surveyed students in each of Mr. Barnes’s classes.
He should also take a sample from Ms. Lopez’s and Mrs. Frank’s classes so that each student has the same chance of being chosen.
He should also take a sample from each of the other history classes in all of the other grades in the middle school.
He should survey all the students in all the history classes to make sure he collects enough data.

Answers

Answer:

In order for his sample to be representative of all middle school students Leo: C) Should also take a sample from each of the other history classes in all of the other grades in the middle school.

What is sample?

Sample can be defined as the data that is randomly collected by a researcher so as to reach or draw a conclusion.

Since only one grade is being surveyed which is Mr. Barnes’s eighth-grade history classes, he should as well carryout the survey on Ms. Lopez and Mrs. Frank history class.

In conclusion he should also take a sample from each of the other history classes in all of the other grades in the middle school.

Final answer:

Leo should improve his survey method by sampling students from all eighth-grade history classes, including those of Ms. Lopez and Mrs. Frank, to ensure that each student has an equal chance of being selected and to obtain a representative sample of the middle school population.

Explanation:

Leo aims to determine the average number of texts middle school students send in a day. To ensure his sample is representative of the entire middle school student population, he should consider the sampling method. While he randomly surveyed students from Mr. Barnes’s eighth-grade history classes, only selecting students from a single teacher's classes might not guarantee a representative sample.

Thus, Leo should extend his survey to include students from Ms. Lopez’s and Mrs. Frank’s classes, which will give every student an equal chance of being chosen. This is important because it would include a wider range of perspectives and reduce the chance of sample bias. If Leo's goal is to understand the average texting behavior of all middle school students, and not just those in eighth grade, he should ideally sample students from other grades as well. However, if his focus is specifically on eighth graders, then sampling from all eighth-grade history classes should suffice.

Jasper built a dollhouse for his younger sister. A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches. Which equation shows how to determine the volume of the dollhouse? V = 24 (10) (8) + one-half (6) (24) (8) V = 24 (10) (8) + one-third (6) (24) (8) V = 24 (10) (8) + one-half (6) (24) (10) V = 24 (10) (8) + one-third (6) (24) (10) i will mark brainliest hurry

Answers

Answer:

A )

Step-by-step explanation:

Please let me know if it is right

The volume of a dollhouse is V=24×8×10+1/2 ×24×6×8. Therefore, the correct answer is option A.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Jasper built a dollhouse for his younger sister.

A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches.

We know that, the formula to find the volume of a rectangular prism is Length×Width×Height

Now, V₁ =24×8×10

= 1920

A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.

V₂=Area of triangle ×Height

= 1/2 ×24×6×8

= 12×6×8

= 576

So, equation is V=V₁+V₂

V=24×8×10+1/2 ×24×6×8

Therefore, option A is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

Perform the division and leave the result in trigonometric form.

Answers

Answer:

[tex]\frac{1}{2}[/tex] ( cos40° + isin40°)

Step-by-step explanation:

To divide

[tex]\frac{r_{1(cosx_{1}+isinx_{1}) } }{r_{2}(cosx_{2}+isinx_{2}) }[/tex]

= [tex]\frac{r_{1} }{r_{2} }[/tex] [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

[tex]\frac{2(cos90+isin90}{4(cos50+isin50)}[/tex]

= [tex]\frac{2}{4}[/tex] ( cos(90 - 50)° + isin(90 - 50)°

= [tex]\frac{1}{2}[/tex] ( cos40° + isin40° )

-
The following situations showed a strong correlation. Which implies causation?
A)an increase in the average speed a car travels and a decrease in the time it takes to reach the destination
B)an increase in a company's advertising budget and an increase in their profit
C)an increase in temperature and an increase in ice cream sales
D)an increase in salary and a decrease in sick days

Answers

Answer: an increase in the average speed a car travels and a decreased in the time it takes to reach the destination

Step-by-step explanation:

If you had 20 equal parts, how would you shade in 20% of it? How much parts would you have shade in?

Answers

Answer:

4

Step-by-step explanation:

20 percent is 1/5. 1/5 of 20 is 4.

You would need to shade in 4 parts.

20% of something is equal to 1/5 (because 100/5=20), so you would need to find 1/5 of 20. You can do this by dividing 20 by 5, and 20 ÷ 5 = 4.

I hope this helps!

Captain Ben has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Umaima and her merciless band of thieves.
If his ship hasn't already been hit, Captain Ben has probability 3/4 of hitting the pirate ship. If his ship has been hit, Captain Ben will always miss.

If her ship hasn't already been hit, dread pirate Umaima has probability 1/2 of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss.

If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer:

0

Step-by-step explanation:

trust me

Answer:

0

Step-by-step explanation:

Which angles could form an obtuse triangle?

A.)67°,34°,79°

B.) 48°,90°,42°

C.)30°,38°,112°

D.)20°,80°,80°​

Answers

Answer:

C. because it is the only set with an angle over 90 degrees like the angle is obese (to remember)

Step-by-step explanation:

The answer is c because an obtuse triangle is over 90 degrees and 112 is over 90

Find the inverse of the function.

y=4x^2+2

Answers

The inverse of the function is +- square root of x-2 divide 2

what is 5374 rounded to the nearest 100​

Answers

Answer:

5400

Step-by-step explanation:

the ending balance on an investment is $6,631.43. if the principal was invested at 8.15% compounded quarterly for 42 months, what was the principal

Answers

Answer:

13.1%

Step-by-step explanation:

A biking track has a length of 3696 feet . How long is this in miles ?

Answers

Answer:

0.7

Step-by-step explanation:

0.000189394= 1 foot

5280= 1 mile

.7 miles
just divide how many miles

HELP NOW BRAINLIEST What is the difference between the number of animals owned by the most people and the number of animals owned the by the least?
A) 6
B) 7
C) 8
D) 9

Answers

Answer:

7

Step-by-step explanation:

The most people own a cat which is 11

The least people own a rabbit which is 4

11-4 = 7

Answer:

B

Step-by-step explanation:

Need Help
find the area of the circle
(must use 22/7 for pi)

1. circumfence 12
2. circumfence 16

Answers

Answer:

1. about 3.82

2. about 5.09

Step-by-step explanation:

correct me if i am wrong

Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x< or = to 72)?

Answers

Answer:

P( Z <= -1) = 0.1587

Step-by-step explanation:

ok, mean u = 79

s = 7

find  P( x <=  72)

P( (x - 79)/7  <=   (72 - 79)/7 )  = ?

P( Z <= -1) = 0.1587   from Z-scores table

will give brainliest!

Answers

Answer:

2/6

Step-by-step explanation:

since there is no number cube, you eliminate that from the problem. 0/6. then you count the 2s there are two "2's" out of the 6 numbers on the spinner. so 2 out of 6, or  2/6

What is the value of the expression below when b = 4 and c=5?
8b2 - 6c + 9
A 48
B79
107
D 888

Answers

Answer:

107

Step-by-step explanation:

8b^2 - 6c + 9

Let b=4 and c=5

8*(4)^2 -6(5)+9

Exponents first

8* 16 -30 +9

Then multiply

128 -30+9

Then add and subtract

107

Find the volume of the prism.

5 units
2 units
8 units

Answers

Answer:

80 units.

Step-by-step explanation:

If it is a rectangular prism, then it is 5×2×8, which is 10, from the 5×2 and 8. 10×8 is 80. So the final answer is 80 units cubed. Hope this helps! If you are still confused, please comment so I can help you!

Rectangular Prism: 80 units^3

V = lwh = 5(2)(8) = 80 units^3

Triangular Prism: 40 units^3

V = [tex]\frac{bhl}{2}[/tex] = [tex]\frac{5(2)(8)}{2}[/tex] = [tex]\frac{80}{2}[/tex] = 40 units^3

Jerry's geoometry teacher drew a triangle with angles that measured 120°, 34°, and 26°. What can Jerry classify the triangle as?

A.) acute
B.) obtuse
C.) right
D.) isosceles

Answers

Answer:

isn't it A

Step-by-step explanation:

Answer:

B) Obtuse

Step-by-step explanation:

A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?

Answers

Answer:

84cm3

Step-by-step explanation:

Volume of the box = Area x Height

V = AH

From the question given,

Height = 12cm

Area = 7cm2

Volume =?

Volume = Area x Height

Volume = 7 x 12

Volume = 84cm3

Therefore, the volume of the cereal box is 84cm3

The volume of the cereal box is 84 cm³

Volume of solid shapes

From the question, we are to determine the volume of the cereal box

The volume of the cereal box can be calculated using

Volume = Base area × Height

From the given information

Base area = 7cm²

Height = 12 cm

Then,

Volume of the cereal box = 7cm² × 12cm

Volume of the cereal box = 84 cm³

Hence, the volume of the cereal box is 84 cm³.  

Learn more on calculating volume of solid shapes here: https://brainly.com/question/24919497

Other Questions
You roll a six sided die. What is theprobability of rolling an even numberthree times in a row? Question 5 (5 points)To the nearest hundredth, what is the value of m?1508.6612.992.317.50 What are the reactants of photosynthesis and where do they come from? FOR 100 PTSI WILL MARK YOU THE BRAINIEST What is the definition of Convection?Question 1 options:When heat transfers through waves.A hot liquid or air that expands, becomes less dense, and rises or becomes more dense and sinks.When heat transfers from objects that are touchingHeat traveling from the sun. Nigel is one and one half as tall as his brother who is three and three fourths feet tall. How tall is Nigel? Read the passage. What kind of environment is Daria working in? Daria is on a cross-country trip. On the journey, she works on her laptop, typing some articles and emailing them to her boss. Daria is working in a environment. PART A: In paragraph 9 of On the Education of Youth in America, how does the quotation, The constitutions are republican, and the laws of education are monarchical reinforce Websters point of view on education?AIt indicates that the type of education students are receiving poorly prepares them for government service.BIt asserts that schools should emphasize the merits of the U.S. political system over those of other systems.CIt emphasizes that the current education laws are contrary to the countrys form of government.DIt describes the educational opportunities shared by wealthy students and poor students. Assume that voltages in a circuit vary between 6 volts and 12 volts, and voltages are spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of voltage levels. In each case, draw a sketch and leave answers as a fraction. a. Greater than 10 volts b. Less than 11 volts c. Between 6.5 volts and 8 volts Estimate a 15% tip on a dinner bill of $31.86 by first rounding the bill amount to the nearest ten dollars.Estimated tip: Write a story with words bouquet circus difficult nibbling pier soars swallow A digital asset can contain textual content, images, and multimedia.True or False 1.Thomas Jeffersons purchase of the Louisiana Territory and the Lewis and Clark Expedition opened the west which led to Sectional Polarization. 2.Growth in transportation technologies, such as steam-powered locomotives, steamships, railroad tracks, and canals led to Sectional Polarization.3.Urban growth in the north, compared to the south and west, as well as differences in the geography (climate and terrain), led to Sectional Polarization. What is the measure of P? Find the 54th term of the arithmetic sequence -7,-23,-39 Drag each pair of equations to show if the system has no solutions, one solution, or infinitely many solutions. According to the speaker, "a life without meaning" isa. like a boat in a stormb. a boat that is afraid to set sailc. like a sail without wind or purpose. d. a boat destined for destruction Why was the Battle of Gettysburg unusual compared to other battles in the east? Check all of the boxes that apply.The Confederacy won.Lee suffered a major defeat.Lee was defending Confederate territoryLee was invading the Union On October 1, Eder Fabrication borrowed $55 million and issued a nine-month, 13% promissory note. Interest was payable at maturity. Prepare the journal entry for the issuance of the note and the appropriate adjusting entry for the note at December 31, the end of the reporting period. Julio drives 2.5 hours at 45 miles per hour. Kilgore drives 4 hours at 35 miles per hour. Who drives farther? How muchfarther?Kilgore, 27.5 milesJulio: 28.5 milesJulio: 112.5 milesKilgore; 140 miles HELP ASAP WHOEVER ANSWER THIS WILL BE MARKED BRAINLIST DONT FORGET TO READ DIRECTION AND FIND THE MEANING OF CARTOON PICTURE ABOUT CLIMATE CHANGE1. Read the political cartoon2. In the text box, write 2 sentences explaining the point of the cartoon in your own words3. In the text box, write 2 more sentences explaining whether or not you agree with the cartoon and why Steam Workshop Downloader