Find the volume of the composite figure. First, find the volume of the triangular prism. 4 cm Triangular prism Volume = [?] cm 5 cm 5 cm 6 cm Rectangular prism Volume = [ ] cm? 10 cm Total Volume of Composite Figure = [ ]cm 8 cm Enter​

Find The Volume Of The Composite Figure. First, Find The Volume Of The Triangular Prism. 4 Cm Triangular

Answers

Answer 1

Answer: See attached image.

Find The Volume Of The Composite Figure. First, Find The Volume Of The Triangular Prism. 4 Cm Triangular
Answer 2

The total volume of the composite figure is 530 cm³.

To find the volume of the composite figure, we need to calculate the volumes of the individual prisms and then add them together.

Triangular Prism:

The volume of a triangular prism is given by the formula:

Volume = base area × height

The base of the triangular prism is a triangle with a base of 5 cm and a height of 5 cm.

Therefore, the base area is:

Base area = (1/2) × base × height = (1/2) × 5 cm × 5 cm = 12.5 cm².

Now, we can calculate the volume of the triangular prism:

Triangular prism volume = base area × height = 12.5 cm² × 4 cm = 50 cm³.

So, the volume of the triangular prism is 50 cm³.

Rectangular Prism:

The volume of a rectangular prism is given by the formula:

Volume = length × width × height.

Given the dimensions of the rectangular prism as length = 6 cm, width = 10 cm, and height = 8 cm, we can calculate its volume:

Rectangular prism volume = length × width × height = 6 cm × 10 cm × 8 cm = 480 cm³.

So, the volume of the rectangular prism is 480 cm³.

Total Volume of Composite Figure:

To find the total volume of the composite figure, we add the volumes of the individual prisms:

Total Volume = Triangular prism volume + Rectangular prism volume = 50 cm³ + 480 cm³ = 530 cm³.

Therefore, the total volume of the composite figure is 530 cm³.

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Related Questions

A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980

Answers

Answer:B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Help Please!!!
Thanks

Answers

it’s a!! you can check by replacing x with the numbers inside the brackets until the equality is true!

Answer:

d i hope please be d please please

A consulting firm has bid on two projects, A and B. The probability of landing A is 0.70. The probability of landing B is 0.60. The probability of landing both is 0.50.
What is the probability of landing A given it lands B?

Answers

Given:

The probability of landing A is 0.70.

The probability of landing B is 0.60.

The probability of landing both is 0.50.

To find:

The probability of landing A given it lands B.

Solution:

We have,

[tex]P(A) = 0.70[/tex]

[tex]P(B) = 0.60[/tex]

[tex]P(A\cap B) = 0.50[/tex]

The probability of landing A given it lands B is

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{0.50}{0.60}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{5}{6}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=0.8333...[/tex]

[tex]P\left(\dfrac{A}{B}\right)\approx 0.83[/tex]

Therefore, the probability of landing A given it lands B is about 0.83.

need help badly geometry question :(

Answers

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole

Answers

1. True
2. False
3. True

HELP MEEE 5(−4) = 15-4x

Answers

Answer:

8.75

Step-by-step explanation:

Homework
Answers are given at the end of
the chapter
Q1 Change 0.035 g to milligrams.​

Answers

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

¿CÓMO ALCANZÓ EL HOMBRE EL CONCEPTO DE INFINITO?

Answers

Trabajar con el infinito es un asunto complicado. Las paradojas de Zenón alertaron por primera vez a los filósofos occidentales sobre esto en 450 a. C. cuando argumentó que un corredor rápido como Aquiles tiene un número infinito de lugares para alcanzar durante la persecución de un corredor más lento. Desde entonces, ha habido una lucha por entender cómo usar la noción de infinito de una manera coherente. Este artículo se refiere al importante y controvertido papel que juegan los conceptos de infinito y el infinito en las disciplinas de la filosofía, las ciencias físicas y las matemáticas.

Los filósofos quieren saber si hay más de un concepto coherente de infinito; qué entidades y propiedades son infinitamente grandes, infinitamente pequeñas, infinitamente divisibles e infinitamente numerosas; y qué argumentos pueden justificar las respuestas de una forma u otra.

Aquí hay algunos ejemplos de estas cuatro formas diferentes de ser infinito. La densidad de la materia en el centro de un agujero negro es infinitamente grande. Un electrón es infinitamente pequeño. Una hora es infinitamente divisible. Los números enteros son infinitamente numerosos. Estas cuatro afirmaciones están ordenadas de mayor a menor controversia, aunque las cuatro han sido cuestionadas en la literatura filosófica.

Este artículo también explora una variedad de otras preguntas sobre el infinito. ¿Es el infinito algo indefinido e incompleto, o es completo y definido? ¿Qué quiso decir Tomás de Aquino cuando dijo que Dios es infinitamente poderoso? ¿Estaba en lo cierto Gauss, que fue uno de los más grandes matemáticos de todos los tiempos, cuando hizo la controvertida observación de que las teorías científicas involucran infinitos simplemente como idealizaciones y simplemente para facilitar la aplicación de esas teorías, cuando en realidad todas las entidades físicamente reales son ¿finito? ¿Cómo cambió la invención de la teoría de conjuntos el significado del término "infinito"? ¿Qué quiso decir Cantor cuando dijo que algunos infinitos son más pequeños que otros? Quine dijo que los primeros tres tamaños de los infinitos de Cantor son los únicos en los que tenemos motivos para creer. Los platónicos matemáticos no están de acuerdo con Quine. ¿Quién tiene razón? Veremos que existen profundas conexiones entre todas estas cuestiones.

Can you help me here is the inage

Answers

Answer:

150x=y

Step-by-step explanation:

2x150=300

4x150=600

6x150=900

8x150=1200

Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3

Answers

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

help me with this please
number
10​

Answers

Answer:

B. Trinomial

Step-by-step explanation:

A trinomial has three terms

The three terms are 2x^2, 3x, -2

4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me ​

Answers

Answer:

(a)

[tex]\%Decrease= 12.5\%[/tex] --- TV

[tex]\%Decrease= 20\%[/tex] --- Laptop

(b) Laptop

Step-by-step explanation:

Given

Normal                       Sales

[tex]TV = 2000[/tex]                  [tex]TV = 1750[/tex]

[tex]Laptop = 1800[/tex]             [tex]Laptop = 1440[/tex]

Solving (a): Percentage increase of decrease for both

Percentage change is calculated as:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

For TV

[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]

[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]

[tex]\%Change = -0.125* 100\%[/tex]

[tex]\%Change = -12.5\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 12.5\%[/tex]

For Laptop

[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]

[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]

[tex]\%Change = -0.2* 100\%[/tex]

[tex]\%Change = -20\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 20\%[/tex]

Solving (b):

Laptop has the best reduced price  because it has a larger percentage decrease

Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above

Answers

Answer:

7. A

8. C

Step-by-step explanation:

7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)

8. 2(3a)^2 - 3(3a) + 4 = C

A salt shaker company produces salt shakers of various heights they create a table showing how many salt Greynolds each size salt shaker holt does the star represent a proportional relationship click on the correct response then answer the question below

Answers

You can ask for a tutor here on the Brainly app don’t forget!!!! :)

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

 feet   


Answers

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)

Answers

Answer:

1:2

Step-by-step explanation:

18 inches to 1 yard

We need to convert 1 yard to 36 inches

18 inches : 36 inches

Divide each side by 18

18/18 : 36/18

1:2

please answer! will give brainliest

Answers

Answer:

9.5 I think

STEPS-

9+4+11+14=38

38/4=9.5

GEOMETRY

PLEASE HELP

PICTURE INCLUDED

Answers

Answer:

x = 25°

Step-by-step explanation:

3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)

12x + 60° = 360°

12x = 300°

x = 25°

Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true

Answers

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is trueP(4) is true P(6) is true

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2)  is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3)  is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4)  is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount ​

Answers

Answer:

The simple interest is of 526.

The total amount is 3156.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question, we have that:

[tex]P = 2630, I = 0.08, t = 2.5[/tex]

The simple interest is:

[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]

The simple interest is of 526.

The total amount is:

[tex]T = E + P = 2630 + 526 = 3156[/tex]

The total amount is 3156.

The sum of two numbers is 3472.
one of the numbers is 1968.
find the other number​

Answers

Answer:

1504

Step-by-step explanation:

3472-1968=1504

CHECK

1968+1504=3472

what is 29 divided 3 and what is the remainder?

Answers

Answer:

9 remainder2

Step-by-step explanation:

Answer:

29 divided by 3 is equal to 9, with the remainder 2.

Step-by-step explanation:

 29 : 3 = 9

- 27

   (2)

PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?

400 in^3

1200 in^3

800 in^3

1600 in^3

Answers

Answer:

(20×20)+(2×20×30)

400+1200

1600inches^2

Answer:

1600 in^2

Step-by-step explanation:

We only have to add the areas of one square in the centre and 4 surrounding triangles.

area of the square=20×20=400 in^2

area of one triangle=1/2×20×30=300 in^2

area of four triangles=4×300=1200 in^2

So, total surface area of the square pyramid=400+1200=1600 in^2

*The units given should be in^2.

Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?

Answers

Answer:

B

Step-by-step explanation:

B is the most likely answer due to

13x.5=6.5

and

53x.25=13.25

13.25+6.5=19.75$

Now stop making a high schooler do your work xD


Form a paragraph proof for the following. Make sure you include all the
explanations.
HELP ASAP PLS

Answers

Answer:

Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent

I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.

If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year

Answers

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD​

Answers

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

help 20 points on the line real answer plz!!

Answers

Step-by-step explanation:

D makes the most sense to me hopefully this helps

Answer:

24 cubic in

Step-by-step explanation:

Hope this helps UwU

Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years

Answers

Answer:   y = 200·1.15^t

Step-by-step explanation:

The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as

 y = initial value · (common ratio)^t

 y = 200·1.15^t

Marking brainliest!!

What should I put for the second question? I am confused. HELPP

Answers

if other experts state the same thing in their own paper or document.

One could analyze the ideas expressed in papers and lectures of experts. Since these people are well educated and creditable, their ideas should be taken seriously. In this case, the author argues that people should pay for the things that they own. By finding a credible expert that shares the same opinion, the idea can be verified.
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