Find the surface area of the composite figure. Round to the nearest tenth if necessary.

Answers

Answer 1

The surface-area of the composite(combined) solid containing hemisphere of radius 3 cm mounted over a cuboid of dimensions 14 cm x 8 cm x 4 cm is

What is surface area?

The surface area is the sum of the areas of all the faces contained in a three dimensional object or solid like structures/shapes. for example cube has 6 faces. The sum of all the areas of six faces is called as total surface area and that of the four walls is said to be Lateral surface area. Similary the cylinder has 3 faces, one curved face and two flat faces at top and bottom. The area of curved face is called curved surface area and the sum of all areas of three faces is called as total surface area of cylinder.

Curved surface area of hemisphere= 2π\(r^{2}\)

Total surface area of hemisphere =3π\(r^{2}\)

Lateral surface area of cuboid= 2 H(L + W)   (∀ L=length, W=width & H=height)

Total Surface area of cuboid= 2(LW + WH + HL)

The surface area of combined or composite solid will be the sum of areas visible from outside the solid.

Here, surface area= curved surface area of hemisphere + total surface area of cuboid - area of circle(part of cuboid which is hidden below hemisphere)

Surface area of composite solid=  2π\(r^{2}\) +  2(LW + WH + HL) - π\(r^{2}\)

                                                    = 2π\(r^{2}\)  - π\(r^{2}\)  +  2(LW + WH + HL)

                                                     =π\(r^{2}\) +  2(LW + WH + HL)

Dimesions, r=3 cm, L=14cm , W=8cm and H=4cm

Surface area of composite solid=(3.14)3² + 2(14 x 8 + 8 x 4 + 4 x 14)

                                                     =9(3.14) + 2(112 + 32 + 56)

                                                      =28.26 + 2(200)

                                                      =28.26 +400

                                                      =428.26 sq. cm

On rounding off to nearest tenths surface area= 428.3 sq. cm

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Find the attached figure & complete question below:

Find The Surface Area Of The Composite Figure. Round To The Nearest Tenth If Necessary.

Related Questions

help again please lol

help again please lol

Answers

Answer:

Step-by-step explanation:

\(a^2 +b^2 = c^2\)

So,

\(17^2 +15^2 = ?\)

Well,

\(17^2 =289\)

and

\(15^2=225\)

So,

\(289+225=514\)

Now, we have to find the square root of 514.

\(\sqrt{514} =22.671568097509267786240958185847\) OR \(22.7\)

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Study lamps are packed 2 in a carton. The dimensions of the carton are 2.5 feet by 1.25 feet by
1.75 feet. The Supply Store wants to order 200 pairs of lamps. How much storage space will the
Supply Store need to store the lamps?

Answers

Answer:

hahahhahahahahahahahahahahahaha

Only number 12 plz I’ll give brainliest(ASAP)

Only number 12 plz Ill give brainliest(ASAP)

Answers

Answer:

120 m/h

120 m/(3600 seconds)

(1/3)m/s

15 * (1/3) = 5

He travels 5 miles in 15 seconds

Step-by-step explanation:

A triangle has an area of
2x2 + 4x – 16 square meters. If the base
is x – 2 meters, find the height

Answers

Answer:

The expression for the area of the given triangle is 5x^4+4x^3units

Step-by-step explanation:


Paul had 70 fliers to post around town. Last week, he posted 1/5 of them. This week, he posted 5/7
of the remaining fliers. How many fllers has he still not
posted

Answers

Answer:

Paul has not yet posted 6 fliers.

Step-by-step explanation:

How many did he post last week?  (1/5)(70) = 14

This week?  (5/7)(70) = 50

Already posted:  14 + 50 = 64

Not yet posted:  70 - 64 = 6

The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.

Answers

Answer: 69

Step-by-step explanation: Sorry I do not know the answer because I am not smart.  I just need the points so I can answer more questions.  Have a great day though and I wish you luck with your question:)

State the types of relief features and give two examples each.

Answers

Answer:

The shape of the Earth's surface - unevenness of the land surface - heights and slopes

An acorn falls into a pond, creating a circu- lar ripple whose area is increasing at a con- stant rate of 5 /second. When the radius of the circle is 4 m, at what rate is the diame- ter of the circle changing

Answers

To find the rate at which the diameter of the circle is changing, we'll first need to determine the relationship between the area of the circular ripple and its radius.

The area of a circle is given by the formula A = πr². In this problem, the area is increasing at a constant rate of 5 m²/second (dA/dt = 5).

Now, we'll use implicit differentiation with respect to time (t) to find the rate of change of the radius:

dA/dt = d(πr²)/dt

5 = 2πr(dr/dt)

Since we're interested in the rate of change of the diameter (D) when the radius (r) is 4 m, and D = 2r, we'll differentiate D with respect to time:

dD/dt = 2(dr/dt)

Now, we can solve for (dr/dt) when r = 4:

5 = 2π(4)(dr/dt)

5/(8π) = dr/dt

Finally, we find dD/dt:

dD/dt = 2(5/(8π))

dD/dt = 5/(4π)

So, when the radius of the circular ripple in the pond is 4 m, the diameter is changing at a rate of 5/(4π) meters per second.

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5x^2-44x+130=-30+16x

Answers

Answer:

if its answer for x its

Step-by-step explanation:

=4

=8

5x²-44x + 130 = -30 + 16x

5x²-44x + 130 + 30 - 16x = 0

5x² -60x + 160 = 0

devide by 5

x² - 12x + 32 = 0

(x-4) (x-8) = 0

x-4 = 0 then x = 4

x-8 = 0 then x = 8


so x=4 and x=8

Select the expression that makes the equation true.
16 x (4.5 + 3) ÷ 10 = ___.
20.8 + (3 x 4) ÷ 4
24 ÷ (8 − 4) + 8.2
30 ÷ (15 ÷ 2.5) + 7
36 ÷ (9 − 4.2) + 3

Answers

Answer:

30 ÷ (15÷2.5) + 7

Step-by-step explanation:

Given: 16 · (4.5 + 3) ÷ 10= ____

First let us do PEMDAS (Parenthesis, Equation, Multiply, Divide. Add, Subtract) upon the given value.

16 · (7.5) ÷ 10 = ____

       120 ÷ 10 = ____

                     = 12

We now understand that the given is equal to the value of 12, now we will calculate each equation with PEMDAS until we find the equivalent value.

20.8 + (3 · 4) ÷ 4 =

   20.8 + 12 ÷ 4   =

          20.8  +  3  =

                            = 23.8

24 ÷ (8 − 4) + 8.2 =

       24 ÷ 4 + 8.2 =

               6 + 8.2 =

                            = 14.2

30 ÷ (15 ÷ 2.5) + 7 =

            30 ÷ 6 + 7 =

                     5 + 7 =

                              = 12

36 ÷ (9 − 4.2) + 3 =

       36 ÷ 4.8 + 3 =

                7.5 + 3 =

                            = 10. 5

It is safe to say the following:

16 · (4.5 + 3) ÷ 10 ≠ 20.8 + (3 x 4) ÷ 4

16 · (4.5 + 3) ÷ 10 ≠ 24 ÷ (8 − 4) + 8.2

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

16 · (4.5 + 3) ÷ 10 ≠ 36 ÷ (9 − 4.2) + 3

Therefore, the answer is:

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

Hope this helps =D, happy learning !

2x-y and 7y= -7 +3x solve by substitution

Answers

Answer:

x = -7/11, y = -14/11

Step-by-step explanation:

2x = y ------- (1)

7y = -7+3x -------- (2)

from (1)

2x = y

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

substitute (3) into (2)

7y = -7+3x

7(2x) = -7+3x

14x = -7+3x

14x-3x = -7

11x = -7

x = -7/11

substitute x = -7/11 into (3)

y = 2x

y = 2(-7/11)

y = -14/11

x = -7/11, y = -14/11

3. (a) Determine the sum of the interior angles of the polygon below.

(b) Determine the measure of the angle indicated by the letter, a, in the polygon.

3. (a) Determine the sum of the interior angles of the polygon below.(b) Determine the measure of the

Answers

Answer:

A) 720

B) a=120

Step-by-step explanation:

A) 6 sided polygon interior angle sum is (6-2)*180=720.

B) 90+110+115+160+125+a=720, a=120

At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bike, meg is renting a electric scooter.

Answers

Answer:

Option A,  9b + 10s is correct

Step-by-step explanation:

The complete question is

At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s  

Solution

The price of renting a bike for one hour is $9

The price of renting a scooter for one hour is $10

Given -

Ari rents a bike for b hours and Meg rents a scooter for s hours

Total cost of renting a bike is 9 * b

Total cost of renting a scooter is 10* s

The total cost of renting both the bike and scooter is

9b + 10s

Hence, option A is correct

Select all equations that have one solution. –3(– x – 2) = 3( x – 2) 1/2( x) = x + 1/2 3/4(4 x – 8) = 18 2 x + 2 x + 2 = 4 x + 2 x + x – ( x + x) = 2 x – x + 2

Answers

Answer:

can u rewrite your answer in the chat thingy bc your equations are so close together it's hard to tell which is apart of which, I tried to answer them but I don't want you to get them wrong so rewrite it and I'll tell you the answers :)  

I NEED HELP ASAP!! I WILL GIVE BRAINLIEST

I NEED HELP ASAP!! I WILL GIVE BRAINLIEST

Answers

Answer:

23

Step-by-step explanation:

Answer:

Step-by-step explanation:

22+36/2=22+18=40

9-3+2=4

40/4=10

10

srry if wrong but

hope this helps

PLEASE ANSWER, HURRY!!!

PLEASE ANSWER, HURRY!!!

Answers

Hello!

1/6 ≈ 0.167

the answer is 0.167

The Lost Horse Trail is 6.43 kilometers long. Last month, Jason hiked the trail 9 times. How many kilometers did Jason hike on the Lost Horse trail last month?
A. 5.787 kilometers
B. 57.87 kilometers
C. 578.7 kilometers
D. 5,787 kilometers

Answers

Answer:

B. 57.87 kilometers

Step-by-step explanation:

Since Jason walked the trail 9 times, we multiply the length of the trail by the times he walked.

So, 6.43 x 9.

This is equal to 57.87.

Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3

Answers

Answer:

4.6

Step-by-step explanation:

The distance run on day 3 is about 5.9 miles.

What is the point-slope form of a line?

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

The data points given are:

(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)

Note that the growth seems to be linear, therefore, find a linear equation for the data.

Use (1,2.5) and (2,4.2) to find the slope of the line:

m = (4.2-2.5)/(2-1)

m = 1.7

The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:

y - 2.5 = 1.7(x - 1)

y = 1.7x - 1.7 + 2.5

y = 1.7x + 0.8

Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8

y = 5.9

Hence, the distance run on day 3 is about 5.9 miles.

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CC wants to buy online tickets for a concert. two options are given here. option 1: $85 for each ticket plus a shipping fee of $15 option 2: $95 for each ticket and free shipping. select the equation for option 2.
a. y=85x+15
b. y=-95x
c. y=15x+85
d. y=95x

Answers

Answer:

Step-by-step explanation:

i want to know too:((

The equation for the second plan is y = 95x, therefore, option (d) is correct.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, the second plan costs $95 for each ticket and free shipping.

The total cost, y, for x tickets are:

y = 95x.

Hence. the equation for the second plan is y = 95x, therefore, option (d) is correct.

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Avery says the greatest common factor of 12 and 15 is 60. Is Avery Correct? Explain how you know.

Answers

Answer:

Incorrect

Step-by-step explanation:

60 is the lowest common multiple of 12 and 15, not the greatest common factor.

The greatest common factor of 12 and 15 is 3, not 60.

A square has a perimetre of 30.6 cm what is the length of each side

Answers

Answer:

l=7.65

Step-by-step explanation:

Square perimeter: 4l, where l is the length on each side.

4l=30.6

l=7.65

Answer:

Since the side lengths of a square are all equal the answer is 30.6 / 4 = 7.65 cm. We divide by 4 because a square has 4 sides.

Simplify ONE of the expressions below using identities and algebra as needed. - cot? B (1 - cos2 B) (1-sin)(1+sine) - cos or

Answers

The expression -\(cot(B) * (1 - cos^2(B)) * (1 - sin(B))/(1 + sin(B))\) can be simplified by using trigonometric identities and algebraic manipulations.

To simplify the given expression, let's break it down step by step:

Start with the expression -cot(B) * (1 - cos^2(B)) * (1 - sin(B))/(1 + sin(B)).

Use the Pythagorean identity: cos^2(B) + sin^2(B) = 1. Replace cos^2(B) with 1 - sin^2(B) in the expression.

Simplify the expression to: -cot(B) * \((1 - (1 - sin^2(B))) * (1 - sin(B))/(1 + sin(B)).\)

Further simplify: -\(cot(B) * sin^2(B) * (1 - sin(B))/(1 + sin(B)).\)

Expand the expression: -\(cot(B) * sin^2(B) * (1 - sin(B))/(1 + sin(B)).\)

Cancel out the common factor of \((1 - sin(B))/(1 + sin(B)): -cot(B) * sin^2(B).\)

So, the simplified expression is -cot(B) * sin^2(B).

In summary, the given expression -cot(B) * (1 - cos^2(B)) * (1 - sin(B))/(1 + sin(B)) simplifies to -cot(B) * sin^2(B) by applying the Pythagorean identity and simplifying the resulting expression.

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X+2

5. GARDEN A 12-foot-by-9-foot fenced area has walking paths along one of the

long sides and one of the short sides with a uniform width x. Flowers are

planted in the remaining part of the enclosed area. The part covered by

flowers is half of the entire enclosed area. What are the dimensions of the

area covered by flowers?

Answers

The dimensions of the area covered by flowers are

length = 9 ft andwidth = 6 ft

How to find the dimensions of the area covered by flowers?

Since the garden is a 12-foot-by-9-foot fenced area has walking paths along one of the long sides and one of the short sides with a uniform width x.

What is the area of the garden?

Since the garden is a rectangle, its area is A = LW where

L = length = 12 ft and W = width = 9 ft

So, A = LW

= 12 ft × 9 ft

= 108 ft²

Also, since flowers are planted on the remaining side of the garden with a path of width x on on side, we have that the dimensions of the area covered by flowers is

length, L' = 12 - x and width, W' = 9 - x

Since the planted part is rectangle, its area is A' = L'W' where L' 12 - x and W'= 9 - x

So, A' = L'W'

= (12 - x)(9 - x)

Since it is given that he part covered by flowers is half of the entire enclosed area, we have that

A' = A/2

(12 - x)(9 - x) = 108 ft²/2

(12 - x)(9 - x) = 54

Expanding the brackets, we have

108 - 21x + x² = 54

x² - 21x + 108 - 54 = 0

x² - 21x + 54 = 0

Using the quadratic formula, we find x

So, \(x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}\)

where a = 1, b = -21 and c = 54

Substituting the values of the variables into the equation, we have

\(x = \frac{-(-21) +/- \sqrt{(-21)^{2} - 4\times1\times54} }{2\times1}\\= \frac{21 +/- \sqrt{441 - 216} }{2}\\= \frac{21 +/- \sqrt{225} }{2}\\= \frac{21 +/- 15 }{2}\\= \frac{21 + 15 }{2} or x = \frac{21 - 15 }{2}\\= \frac{36}{2} or x = \frac{6}{2}\\x = 18 or x = 3\)

Since x cannot be greater than the greatest dimension, we choose x = 3.

So,

the length, L' = 12 - x = 12 - 3 = 9 ft and the width W' = 9 - x = 9 - 3 = 6 ft

So, the dimensions of the area covered by flowers are

length = 9 ft andwidth = 6 ft

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If SP = Rs 380 and sales tax is 4% then the amount of sales tax is

Answers

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

I think the answer should be 395.20

Price= 380.00

Sales tax= 4% (15.20)

The total price will be 395.20

If SP = Rs 380 and sales tax is 4% then the amount of sales tax is 395.20

Therefore the answer will be 395.20

Hope this helps!

If you have any questions, then feel free to ask them! :)

By: BrainlyAnime! ^-^

The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.​

Answers

Answer: 13

Step-by-step explanation:

when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time. on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day. find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited

Answers

Isa took 4 hour when  isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours

What is a definition distance?

the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness

when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.

so isa took 4 hour

on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day

isa tool 14 hour

find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited

length of flight is 18 hour

time difference will be 14-4 = 10 hour

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Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

No random answers! They will be reported.

Answers

To model the total amount of money Victoria will have in her bank account as interest accrues after she deposits her $200, we can combine the two functions h(x) and s(x).The function h(x) represents the initial amount of money Victoria has saved at home, which is $200. The function s(x) represents the interest rate of the savings account, where x represents the number of years the money is left in the account. So, if Victoria deposits her $200 into the savings account and leaves it there for x years, the amount of money in her account will be:h(x) + h(x) * s(x)Substituting the values for h(x) and s(x), we get:$200 + $200 * (1.05)x-1This is the total amount of money Victoria will have in her bank account as interest accrues after she deposits her $200. The function combines the initial amount of money saved with the interest rate of the savings account over time, as represented by the function s(x). The interest rate is compounded annually, which is why the function s(x) uses an exponent of x-1.Therefore, Victoria can use this function to calculate the amount of money in her bank account after depositing her $200 and leaving it in the savings account for a certain number of years.

Alexa has 38 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 140 square meters. List each set of possible dimensions (length and width) of the field.​

Answers

The possible dimensions ( width and length) plot of land are 9.5 m and 19 m.

What is defined as the rectangle?

A rectangle is a confined two-dimensional structure with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel.

Area of a rectangle

area of rectangle = l×w

where, l = length and w = width.

Thus, the perimeter for 2 side of width and 1 side of length is;

perimeter = 2w+ l

Perimeter of river = 38 m.

38 = 2w + l

l = 38  - 2w

Hence, Put the value of l in the area.

area = w(38 - 2w)

The area of the land is 140 sq.m.

140 = 38w - 2w²

-2w² + 38w - 140 = 0

-w² + 19w - 70 = 0

The equation is in the form of quadratic. Thus use the relation of coefficients and the roots to evaluate the width.

w = - b / a

Comparing the coefficients;

where,

a = -1

b = 19

w = - 19 / 2( -1)

w = 9.5 meters

Then,

l = 38  - 2w

l = 38 - 2(9.5)

l = 19 meters

Therefore, the dimensions of the plot of land are 9.5 meters and 19 meters.

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When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.
- Yes, because then the marks are equidistant from each other.
- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.
- No; the second two arcs must have the same radius but it can be different from the first.
- No; any three radii will work.

Answers

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Which is true about the radiuses of all three arcs when constructing an angle bisector?

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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The bill for the repair of your refrigerator was $146. The cost for parts was $74. The cost for the service call and the first half hour of service was $50. The additional cost for labor was $22 per half hour. How many hours did the repair work take?

Answers

Answer:

146 - 74= 72

72 - 50 = 22

from the $50 is 30 mins of work

add on another 30 mins for the $22

it took 1 hr

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