3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft

3. What Is The Surface Area Of This Composite Solid? Show Your Work.5 Ft5 Ft3 Ft4 Ft10 Ft8 Ft

Answers

Answer 1

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

How we do get the surface area?

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

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Related Questions

Sally bought a soft drink for 4 dollars and 8 candy bars. She spent a total of 28 dollars. How much did each candy bar cost?​

Answers

Answer:

$3

Step-by-step explanation:

If the soda was $4 and she spent a total of $28

then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3

Change a speed of 630 kilometres per hour to a speed in metres per second. Show your working

Answers

Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

What is the area, in square feet, of the rectangle shown below?​

Answers

Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.

How much did each ticket cost?

Write your answer as an expression

Answers

Answer:

324 over x is the answer

Step-by-step explanation:

khan told me.

ik ur searching probs from khan hehe plol

The cost of each ticket as an expression is $324/x

Ratio and proportion

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

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Using ε − δ definition of a limit, show that limx→2
x+1
x =
3
2

Answers

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

ε − δ definition of a limit?

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

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. After consulting with his broker, Dan Hostetler purchases 2,000 shares of Ballon
Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific
at $26.76 per share. What is the total cost of the stocks including the commission?

Answers

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.

What are stocks?

Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.

We have a number of shares at $44.41 per share = 100

Number of shares at $19.08 per share = 600

Total number of shares = 700

Broker's charges per share = $0.04

Hence, The total cost of the stock including the commission

= Cost of stock + commission

= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)

= 15,917

Thus, the total cost of stock including the commission is $15917.

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Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 mile, he stops for water. He continues hiking another 1/6 mile and stops to rest. How much farther must he hike to finish the trail ?​

Answers

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Total distance to be covered = 11/12 mileDistance covered = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 mile

Solving

Remaining distance = Total - coveredR.d. = 11/12 - 5/12R.d. = 6/12R.d. = 1/2 mile

ASAP PLEASEHELP ME WILL GIVE 50 POINTS AND MARK BRAINLIEST



A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.

Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.​

Answers

Answer his question

A philanthropist pledges to donate 18% of a
fund each year. If the fund initially has
$699,000.00, how much will the fund have
after 8 years?

Answers

Answer:

87.375

Step-by-step explanation:

i think it that because you haft to do divison

how do you do this???

Answers

Answer:

A = 15 units²

Step-by-step explanation:

Count the squares:

AB (height) = 6 units

CB (base) = 5 units

A = bh/2

A = (5)(6)/2

A = 30/2

A = 15 units²

I hope this helps!

Hi I think the answer is 15 units

y + 6 = 5(x – 4)
Write a formula fpr f(x) in terms of x.

Answers

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

please help with this math question sceenshot below

Answers

Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

What is the range of y=−3x2−12x−17?

Question 9 options:

y≤−5

y≥5

x≥−5

x≤5

Answers

Answer: y≤−5

Step-by-step explanation:

someone please help find the perimeter

Answers

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

At lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week? 490x 700y < 4000 490x 700y ≤ 4000 490x 700y > 4000 490x 700y ≥ 4000

Answers

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

What is the meaning of inequality?

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

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The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Please help ASAP!!!
Will mark brainiest!!!!!

Answers

Answer:

  533.3 mph

Step-by-step explanation:

You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.

Speed

The average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.

If the distance is d, the total time in hours is ...

  d/480 +d/600 = (3/800)d . . . . . hours

Then the average speed is ...

  2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour

Alyssa's average speed on the round trip was 533.3 mph.

__

Additional comment

In the real world, eastbound speeds are usually faster than westbound speeds.

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Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 5x 4 f(x) = 3x2 15x 12 f(x) = 3x2 – 5x 4 f(x) = 3x2 – 15x 12

Answers

A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is: [tex]3x^2-15x+12[/tex]

What is polynomial?

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

For this case we have that the following function complies with the given conditions:

[tex]f(x)=3x^2-15x+12[/tex]

To prove it, let's find the roots of the polynomial:

[tex]3x^2-15x+12=0[/tex]

By doing common factor 3 we have:

[tex]3(x^2-5x+4)=0[/tex]

Factoring the second degree polynomial we have:

[tex]3(x-1)(x-4)=0[/tex]

Then, the solutions are:

Solution 1:

[tex]x-1=0 \ or \ x=1[/tex]

Solution 2:

[tex]x-4=0\ \ or \ x=4[/tex]

Hence A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:[tex]3x^2-15x+12[/tex]

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Answer:

f(x) = 3x² – 15x + 12

Step-by-step explanation:

I got it right on the unit test for edge

help me find the surface area of this shape please

Answers

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

Q1- Tommy pays $22.50 for 2.6 pounds of salmon. What is the price per pound of salmon?

Q2- The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

Q3- 1/2 of a pizza cost $9.50. How much would it cost for one whole pizza?

Q4-The cost of 1/4 cup of ice cream is $3.00. How much would it cost for one whole cup?

Answers

Q3 the answer is 19.00/ explanation: just add 9.50 twice or multiply times 2

Which expression represents the surface area of the pyramid?

Answers

Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1) x=−y-2

2)x=−y+2

Step-by-step explanation:

Let's solve for x.

y=−x−2

Step 1: Flip the equation.

−x−2=y

Step 2: Add 2 to both sides.

−x−2+2=y+2

−x=y+2

Step 3: Divide both sides by -1.

x=−y−2

Let's solve for x.

3x+3y=6

Step 1: Add -3y to both sides.

3x+3y+−3y=6+−3y

3x=−3y+6

Step 2: Divide both sides by 3.

x=−y+2

Quest

answe

Ms. Miller's English class kept track of how many books they read last school year.

Books read

13

41

24

97

67

103 75 120

27

53

39

108 49

111

84

44

20

Time

elapse

Which box plot represents the data?

00 12

HR MIN

Books read

SmartSc

out of 100

63

20

40

60

80

100

120

Books read

20

40

60

80

100

120

Answers

Answer:

cde

Step-by-step explanation:

thx everyone hahahhahaahha

4+2 (x-1)=13
Find the value of for X


(Show working out)

Answers

Answer:

[tex]x = \frac{11}{2}[/tex]

Step-by-step explanation:

4+2 (x-1)=13

⇒ 2 (x - 1) = 13 - 4

⇒ 2 (x - 1) = 9

⇒ 2 x - 2 = 9

⇒ 2 x  = 9 + 2

⇒ 2 x  = 11

⇒  x  = 11/2

Which function is represented by this graph?
O A. 1x) = |x+7|-3
O B. 1x) = |x-7| -3
O C. 1x) = |x+3|-7
O D. 1x) = |x-3|- 7

Answers

It’s C. PLATO USERS i took test all correct

What is the surface area of the right cone below?

A. 3047 units-
B. 4967 units?
C. 1841 units-
D. 248 units

Answers

Answer:

184π units²

Step-by-step explanation:

see attached for reference

given sloped height = 15 units

base radius = 8 units

the height of the cone can be found by using the Pythagorean equation

(sloped height)² = height ² + (base radius)²

15² = h² + 8²

h² = 15²-8² = 161

h = √161

Base surface area = πr² = π 8² = 64π units²

Lateral Surface Area,

= πr √(r² + h²)

= π(8) √[  (8)²  + (√161)²  ]

= 8π√(64 + 161)

= 8π√225

= 8π (15)

= 120π

Surface area = base area + lateral surface area

= 64π + 120π

= 184π units²

Answer:

C. 184π units²

Step-by-step explanation:

Surface Area of a cone : πrl + πr² = πr(l + r)

r = radiusl = slant height

Solving

SA = π x 8 (15 + 8)SA = π x 8 x 23SA = 184π units²

A local weather enthusiast wants to see if the last five summers have been warmer than normal for eloy, arizona. from the national oceanic and atmospheric administration (noaa), he knows the 30-year average for july was 90° with a standard deviation of 2.1°. the last five summers recorded have an average of 93.5°. if he uses a = 5%, which of the following would be valid based on the data he has gathered? he can conclude that the summers have been warmer than the 30-year average. he can conclude that the summers will continue to be warmer for the next 10 years. he does not have enough information to make a decision. the average for the last five years fits with the 30-year average.

Answers

For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.

Therefore, the range of the temperature is,

t = 90 - 2.1 = 87.9

t = 90 + 2.1 = 92.1

The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,

t = 92 - (92 x 2.5/100)

t = 89.70

This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.

Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.

Learn more about the standard deviation here;

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Answer:

D, The average for the last five years fits with the 30-year average.

Step-by-step explanation:

edge

The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet

Answers

Answer:

70 if you walk directly across, 140 if you're running the bases

Step-by-step explanation:

So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.

Riley drank 8/10 quart of iced tea and her friend drank 0.3 quart. How much more of a quart of iced tea did Riley drink than her friend?

Answers

Riley drank 1/2 more of a quart of iced tea than her friend.




Explanation:

0.3 as a fraction is 3/10. So Riley’s friend drank 3/10 of a quart of iced tea.

Riley drank 8/10’s of a quart so let’s set up an equation.


8/10 - 3/10


Solve.


= 5/10, which can be simplified to 1/2.



Hope this helps!

Answer:

1/2

Step-by-step explanation:

0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.

8/10 - 3/10 = 5/10

Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)

Barbara got a flat tire and does not have a spare. she needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. she borrows $75 and plans to pay it back when she gets paid in 8 days. barbara is charged a fee of $15 and the term on her loan is 8 days. approximately what is the annual percentage rate on her loan? a. 228% b. 487% c. 913% d. 973%

Answers

The annual percentage rate of the loan is approximately 913%. option c is correct.

What is the annual percentage?

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]

If the rate of interest is  20% then the annually the rate is obtained as;

[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

To learn more about the annual percentage refer to the link;

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Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answers

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

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