Find the surface area and the volume of the composite figure

Find The Surface Area And The Volume Of The Composite Figure

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Surface area of the figure:

S = 2(lw + lh + wh) + 1/2(4πr²) - πr² = 2(lw + lh + wh)  + πr² S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)² = 340.26 cm²

Volume of the figure:

V = lwh + 1/2(4/3πr³) =  lwh + 2/3πr³ V = 6*10*6 + 2/3*3.14*(6/2)³ = 416.52 cm³
Answer 2

Answer:

> S = 340.26 cm²

> V = 416.52 cm³

Step-by-step explanation:

We need to find the surface area and the volume of the composite figure . The given figure is made up of a cuboid and a hemisphere . Let's Calculate them ,

Finding the Surface area :-

> S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)

> S = 340.26 cm²

Volume of the figure:

> V = lbh + 1/2(4/3πr³)

> V = 6*10*6 + 2/3*3.14*(6/2)³

> V = 416.52 cm³


Related Questions

Can someone check tell me why 1) is correct and why 2) is incorrect?!

Willing to give brainliest

Answers

Answer:

1) yes

2) no

Step-by-step explanation:

1)

[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]

This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.

2)

[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]

[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]

This is incorrect because the numerator multiplied is different from the denominator multiplied.

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

[tex]\frac{1}{2}[/tex] =  [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...

Sorry I didn't know how to explain that much but I hope you understand.

1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°

Answers

Answer:

could you include a pic please?

Can you please include a picture

A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club

a) graph the linear system. When would the cost of the two membership plans be the same

B) describe a situation under which you would
Choose each plan


Help please

Answers

A i think hope this help

3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?​

Answers

The length of the papacy shown in there is wrong why Beacsue it was drawn

According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.

Answers

Answer:

The correct answer is "14%".

Step-by-step explanation:

Given:

Jobs in 2018,

= 13.6 million

Jobs in 2028,

= 15.5 million

Now,

In healthcare occupation, the projected percent increase will be:

= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]

By putting the values, we get

= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]

= [tex](1.9)\times \frac{100}{13.6}[/tex]

= [tex]13.97[/tex] (%)

or,

= [tex]14[/tex]%

Answer:

its 14

Step-by-step explanation:

i got it right

Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term

Answers

Answer:

Multiplication.

Step-by-step explanation:

Given functions:

f(x) = 2x - 1

g(x) = 2x + 4

Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term

i. Addition.

f(x) + g(x)

(2x - 1) + (2x + 4)

2x - 1 + 2x + 4

4x + 3

Here, the x term has a coefficient of 4

ii. Subtraction

f(x) - g(x)

(2x - 1) - (2x + 4)

2x - 1 - 2x - 4

-5

Here, the x term does not exist or has a coefficient of 0

iii. Multiplication.

f(x) * g(x)

(2x - 1) * (2x + 4)

4x² + 8x - 2x - 4

4x² + 6x - 4

Here, the x term has a coefficient of 6

iv. Division

Division is not exactly applicable here since there are not terms cancelling out.

Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6

Please help I’ll give brainliest

Answers

Answer:

81

Step-by-step explanation:

3 exponent 4

[tex] = {3}^{4} [/tex]

= 3 × 3 × 3 × 3

= 81 (Ans)

A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?

A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches

Answers

Answer:

Step-by-step explanation:

16

It will be 16 inches so B

The picture is above I’ll mark as brainliest.

Answers

Answer:

22

Step-by-step explanation:

P=(8*2)+(3*2)

16+6=22

Answer:

22 inches

Step-by-step explanation:

Perimeter = 8 + 3 + 8 + 3

= 22 inches

Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?

Answers

Answer:

Se requiere 34 meses para producir un interés de 8700 soles.

Step-by-step explanation:

Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Capital inicial, en soles.

[tex]C[/tex] - Capital actual, en soles.

[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].

[tex]t[/tex] - Período de capitalización, en años.

Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]

[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]

[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]

[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]

[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]

[tex]t = 2.782\,yr[/tex]

Es decir, se requiere 34 meses para producir un interés de 8700 soles.

Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?

Answers

Answer:

1.5 percent I 5hink 9ook

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 1: 5×6+5 6 step 2: 30+5 6

step 3 35

6

step 4 answer = 35

6

A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Answers

Answer: [tex]12m^2+19m-18[/tex]

Step-by-step explanation:

Given

Speed of boat [tex]v=3m-2\ \text{knots per hour}[/tex]

[tex]\text{time t= }4m+9\ \text{hours}[/tex]

[tex]\Rightarrow \text{Distance =speed}\times \text{time}[/tex]

[tex]\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18[/tex]

work out 37.56 divided by 12 and show working out

Answers

[tex]\longrightarrow{\green{3.13}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{37.56}{12} [/tex]

➺ [tex]\:3.13[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]

Answer:

3.13

Step-by-step explanation:

sorry that is All what I can say please don't be mad at me

The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work

Answers

Answer:

Area = 72 square feet

Step-by-step explanation:

[tex]4(3x+3y)[/tex]

Multiply the four to the values inside the parentheses to find the "equivalent expression"

[tex]12x +12y[/tex]

Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]

[tex]12(2) + 12(4)[/tex]

[tex]= 24 +48[/tex]

[tex]= 72[/tex]

Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing

Answers

Answer:

Rise (1-10)=-9

Run=(9-2)=7

Step-by-step explanation:

The slope is Rise/Run = -9/7

The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.

Answers

Answer:

8units

Step-by-step explanation:

If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)

For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)

Using the distance formula;

D = √(x₂-x₁)²+(y₂-y₁)²

D = √(-8.5+8.5)²)²+(-4-4)²

D =√(-8)²

D = √64

D = 8

Hence the required distance is 8units

Which ordered pair is the best estimate for the solution of the system of equations?

y=32x+6
y=14x−2



(−7, −3.5)

(−7, −4)

(−6.5, −3.5)

(−6, −3)

Answers

Answer:

x=-4/9, y=-74/9.

Step-by-step explanation:

y=32x+6

y=14x-2

-----------

32x+6=14x-2

32x-14x+6=-2

18x+6=-2

18x=-2-6

18x=-8

x=-8/18

simplify

x=-4/9

y=14(-4/9)-2=-56/9-2=-74/9

what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?

Answers

Answer:

- 30

Step-by-step explanation:

3x + 2y - 5xy

3(2) - 2(3) - 5((2)(3))

6 - 6 - 30

6 - 6 - 30

- 30

Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?

Answers

Answer:

6000 dollar store for the day of a rectangle

Answer:

if its simple interest: $375 in interest, so he would have $1875 in total

if its compound interest: $420.13 in interest, so he would have $1920.13 in total

Step-by-step explanation:

I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.

but compound interest adds on to the total instead of the initial savings so its more complicated

Calculate the length of line segment XY in each triangle.

Answers

Answer:

XY = 8 cm

Step-by-step explanation:

PQ is a midsegment and is half the length of the 3rd side XY , then

XY = 2 × PQ = 2 × 4 = 8 cm

In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?

I will mark brainliest to the first correct answer

urgent pls

Answers

Answer :
If 18+12 is 30 and only 18 of them has pets then 70 percent have pets
The answer is actually 60% because there are 30 students

What's the equation? Week (w) 0 1 2 3 4 5 6 7 8 Infected (I) 1 2 4 8 16 32 64 128 256

Answers

Answer:

The Equation Is - Week(n) =  [tex]2^{n}[/tex] (infected)

Step-by-step explanation:

Now We Have to just Put The Value Of 'n'.

Week(0) = 1  

Week(1) = 2

Week(2) = 4

Week(3) = 8  

Week(4) = 16

and so on.

How many types of triangles are there?​

Answers

Answer:

there are 6 type of tryingle hope it helps

7 - equilateral, right isosceles, acute isosceles, obtuse isosceles, right scalene, acute scalene, obtuse scalene.


The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.​

Answers

Answer:

the answer is 4133.33...km

Explaination:

Distance = speed x time

Distance = 1240 x 10 / 3 = 4133.33... Km

$70,000 - 17 1/2 % .
if i get this right i get the iphone xr​

Answers

Answer:

$57750

Step-by-step explanation:

$70,000 - 17.5%

17.5 % = .175

.175 * $70000 = $12250

$70000 - $12250 = $57750

Math help please show all work thank you !

Answers

9514 1404 393

Answer:

W = 55°X = 125°Y = 110°Z = 70°

Step-by-step explanation:

Corresponding angles in similar figures are congruent. Corresponding angles are listed in the same order in the similarity statement.

  ∠A = ∠W = 55°

  ∠B = ∠X = 125°

  ∠C = ∠Y = 110°

  ∠D = ∠Z = 70°

Select the interval where g is negative.
PLSSS HELLPPP!!!

Answers

The interval where g is negative is in the domain of -5 ≤ x < 1

The reason for the above selected interval is as follows;

A function is negative over an interval where the graph of the function is

below the x-axis, and the y-coordinate values are negative, excluding

where the y-value is zero. The interval over which a function is negative is

also  called the negative region

From the given graph, the function, g(x), we have;

At x = 1, y = g(x) = 0

At x = -5, y = g(x) ≈ -7 and increasing to 0

Therefore at x = -5, g(x) ≈ -7, is negative

Tis negative over the interval -5 ≤ x < 1

Therefore;

The interval where g(x) is negative is -5 ≤ x < 1.

Learn more about intervals of functions here;

https://brainly.com/question/8933368

write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent

Answers

Answer:

3/4, 0.75, 75%

Step-by-step explanation:

[tex]\frac{12}{16}[/tex]  

divide top and bottom by 4

[tex]\frac{3}{4}[/tex]

In a group of 33 pupils, 9 play the flute only.
8 play the piano only.
11 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?

Answers

Answer:

ans: 5

Step-by-step explanation:

use the set theory to solve it,

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