Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 4 ft^2 and the prism stands 2.4 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 32 ft^2.

(a) Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping. How much roping does he purchase?


(b) Leo plans to add gold leaf to the sides of the stand but not to the two bases. What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number​.

Answers

Answer 1

Answer:

See below ~

Step-by-step explanation:

(a)

Formula

Surface Area = (2 x Base Area) + (Perimeter x Height)

Solving

32 = 2 x 4 + (P + 2.4)P + 2.4 = 4P = 1.6 ftLength of rope = 5P5 x 1.6Length of rope = 8 feet

(b)

Slant height = √(2.4)² + (1)² = √5.76 + 1 = √6.76 = 2.6 feetArea of a side = slant height x lengthArea of a side = 2.6 x 2 = 5.2 square feetTotal area of sides = 5.2 x 2 = 10.4 square feet% (Area) = 10.4/32 = 0.32532.5%33%


Related Questions

HII can someone plss help me with this question. I got 192 but i dont know how to turn it into a base with an exponent. ----> b^e

Answers

= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

What is the discriminant of the quadratic equation 7x2 – 9x – 9=0?


A)171

B)333

C)-333

D)-171

Answers

Answer B
I hope that I helped ;D

Answer:

B) 333.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0

is b^2 - 4ac

So here we have:

(-9)^2 - 4*7*-9

= 81 + 252

= 333.

Wendell is building a doghouse using these pieces of wood:

The pieces of wood to build a doghouse with the highest point to the lowest point of 28 inches.

Each length with one mark (I) is 36 inches. Each length with two marks (II) is 18 inches. Each length with three marks (III) is 30 inches. Each end has a height (from the highest point to the lowest point) of 28 inches.

The doghouse will have the shape shown once it is built.

The shape of the doghouse.
Part A
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?

Answers

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

What is a solid figure?

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

Find out more on solid figure at: https://brainly.com/question/8774322

For each ordered pair, determine when weather it’s a solution to 7x -6y=19
Solutions:
(7,5)
(1,-2)
(-5,3)
(-4,0)

Answers

Answer:

Options A and B

Solution:In order to determine whether or not an ordered pair is a solution to an equation, plug in the values of x and y:7x-6y=197(7)-6(5)=1949-30=1919=19We have a true statement. Therefore, the ordered pair is a solution to the equation 7x-6y=19.Let's try the other ordered pairs.7(1)-6(-2)=197+12=1919=19Here's another true statement.Let's check the remaining two options:7(-5)-6(3)=19-35-18=19-53≠19Here we have a false statement.7(-4)-6(0)=19-28-6=19-34≠19Therefore, the ordered pairs that make this equation true are (7,5) and (1,-2)

Hope it helps.

Do comment if you have any query.

How many minutes does it take arnob to catch up to kathleen? 9.8 10 73.5 75

Answers

Answer:

so the anwer is d 75

75

D

.......

Answer:

75

Step-by-step explanation:

i got it right

How do you create a rectangular prism with a volume of 315 cubic inches?

Answers

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

How to form a rectangular prism with the given volume

Volume of a rectangular prism = lwh

where

h = heightw = widthl = length

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

learn more on rectangular prism here: https://brainly.com/question/16043272

#SPJ1

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

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles?

100 points and brainliest to answer

Answers

Answer:

8

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

number of convertibles = 4total number of vehicles = 30 + 4 = 34

[tex]\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}[/tex]

To find the expected number of convertibles from the first 68 vehicles:

[tex]\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}[/tex]

Answer:

30 other vehicles + 4 convertibles = 34 cars

34 * 2 = 68

30 * 2 other vehicles + 4 * 2 convertibles = 68 cars

60 other vehicles and 8 convertibles

hope it helps you

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;

https://brainly.com/question/17613825

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

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!! :)

which represents the exspession 3 fewer than p

Answers

Answer:

p-3

Step-by-step explanation:

Let me show you how to answer this question correctly.

A variable is P. Letters are represented as numbers by variables.

If you have fewer than that, you must subtract.

Therefore, the expression is p-3, which is our answer.

I hope this helps! Let me know if you have any questions.

Answer:

[tex]p - 3[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

3 fewer than p

This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.

Answer:  [tex]p - 3[/tex]

What is the volume of the right triangular prism shown below?

V = Bh

b = 1/2bh

Answers

Answer:

165

Step-by-step explanation:

V=BH

B=[tex]\frac{1}{2\\}[/tex]BH

V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11

V= ([tex]\frac{30}{2}[/tex]) x 11

V= 15 x 11

V= 165 f[tex]t^{2}[/tex]

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

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.

Find out more on ε − δ limit at: https://brainly.com/question/17603639

write 1.257 multiply by 10 to the power of 5​

Answers

Answer:

1.257*10^5

Step-by-step explanation:

10 to the power of 5 : [tex]10^{5}[/tex]

1.257 multiply by 10 to the power of 5 : [tex]1.257[/tex] x [tex]10^{5}[/tex]


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

Koro - Sensei has 8 more students in his class than Ms.Fizzle. They have a total of 32 students together. Calculate the number of students in Koro - Sensei's class

Answers

Answer:

Koro-Sensei's class has 20 kids in it.

Step-by-step explanation:

This is simple.

Ex: 20-12 = 32

A restaurant chain order £3940 of rice and £20 bags about how many £20 bags of rice did the chain order

Answers

Answer:

Step-by-step explanation:

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

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

PLEASE HELP VERY URGENT

Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.

The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.

A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2

(if u have trouble reading the text look at the attached photo for the question)

Answers

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

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

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

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

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

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

The probability of obtaining a head when a certain coin is flipped is about 0. 65. Which of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times?.

Answers

The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.370

How to determine the probability?

The given parameters are:

Sample size, n = 25Probability of success, p = 0.65Number of success, x ≤ 15

The probability is represented using the following binomial formula

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

Using the above formula, we have:

[tex]P(x \le 15) = 0.370[/tex]

Hence, the probability is 0.370

Read more about probability at:

https://brainly.com/question/251701

What is the mean?
557544

Answers

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

Please help I need to pass this class

Answers

Answer:

Shown Below...

Step-by-step explanation:

6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25

7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4

8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.




Give the appropriate theorem or postulate that can
be used to prove the triangles similar:

A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate

Answers

Answer:

The right answer is A. AA Postulate

Simplyfy the following fraction: 50/75

Answers

Answer: 2/3

Step-by-step explanation: 50/75

25 can go into both.

50 divided by 25 = 2

75 divided by 25 = 3

Which expression represents the value of the series below? 3 7 11 15 ... 1,671

Answers

Answer:

Let n be the sequence number, starting with 0.  The first number is 3, each succeeding number is incremented by 4.  The nth number would have the value 3+4n

Step-by-step explanation:

Using the above formula yields the attached table of values.  We see that if n=417, that the value of 1,671 is correctly predicted.

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

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.

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