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 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
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?
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:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%


Related Questions

Lethna buys some boxes of pens and some packets of pencils.
There are 40 pens in each box. There are 12 pencils in each packet.
Lethna gives one pen and one pencil to each student in Year 7 of her school.
When she has done this she has no pens left and no pencils left.
Work out how many boxes of pens and how many packets of pencils Lethna could
have bought

Answers

Answer:

pen: 3 boxes [pencils : 10 packets

Step-by-step explanation:

40 and 12     4|40/10   12/3  4x3x10=120  

pen 120 divided by 40 = 3 boxes

pencils 120 divided by 12 = 10 packets

In parallelogram GOST, angle G has a measure of 40°

What is the measure of angle T?

Answers

The answer would be 140 degrees.
The interior angles of a parallelogram adds up to 360°G + S = 180° and O + T = 180°

40° + S = 180°

- 40° + 40° + S = 180° - 40°

S = 140°

T = 140°

help please this assignment is do in a few minutes

Answers

C. is the correct answer in this case

Answer:

The answer is C because the ratio 2:5 is equal to 40:100

1. A house which cost £96000 appreciated in value each year by 1.6%
Calculate the value of the house after 4 years.
Give your answer to 3 significant figures

Answers

Answer:

  £102,000

Step-by-step explanation:

A growth rate of 1.6% corresponds to an annual growth factor of ...

  1 +1.6% = 1.016

The house value is multiplied by this factor each year for 4 years, so the final value is ...

  £96000 × 1.016⁴ ≈ £102,293

To 3 significant figures, the house value after 4 years is £102,000.

Answer:

answer : 102293.04

3 significant figures : 102000

Step-by-step explanation:

A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.

Answers

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

Learn more about Probability:

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Answer:A

Step-by-step explanation:

the statement "If A, then B" can be best described as

Answers

If the statement A is true then the statement B is true and vice versa for if statement A is untrue

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: A

Step-by-step explanation:

2 2/5 is a larger number than 1 4/5.

The easiest way to know this is to look at the first number. 2 is larger than 1.

Hope this helps!

Answer:

A.

Step-by-step explanation:

2 2/5 is a bigger number than 1 4/5, so  you would us greater than sign

Find the circumference and the area of a circle with radius 4km.
Write your answers in terms of π, and be sure to include the correct units in your answers.

4km

Answers

Answer:

16pi km² / 8pi km

Step-by-step explanation:

r = 4

A = pi(r²)

4² = 16

A = 16pi km²

C = 2r(pi)

2r = 8

C = 8pi km

System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).

a) x+y=1
2x+y=5





b) x+2y = 4
x +y = 1




c) x-y=-5
x+y= 11



Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

please mark me as brainlest

Step-by-step explanation:

b is the answers for the question

1
* Write an expression that is equivalent to


1/2a - 4

Answers

Answer:

a - 8

Step-by-step explanation:

1/2 a - 4

if we scale both numbers by the same factor, we will be creating an equivalent expression.

So, let's say we multiply the equation by 2.

1/2 a (2) = 1 a = a

-4 (2) = -8

One equivalent expression would be

a - 8

[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...

1/2 of 10 = 5, 5 - 4 = 1

1 times 10 = 10, 10 - 8 = 2

These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]

A bottle is launched from a bottle launcher. The height of the bottle is modeled by the equation h(t) = –16t2 + 78t + 10. How long does it take the bottle to reach the ground?

A.
10 seconds

B.
5 seconds

C.
4.7 seconds

D.
1.1 seconds

Answers

Answer:

C: 4.7

Step-by-step explanation:

Axis of symmetry: -b/2a

a=-16

b=78

-78/2(2(-16))= 4.875 seconds in the air.

one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.​

Answers

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!

what is the area of a heptagon with a side length 15m

Answers

A≈817.63m²

a Side

15

m

a

a

a

P

A

Solution

A=7

4a2cot(180°

7)=7

4·152·cot(180°

7)≈817.6303m²

calculate the arithmetic mean of -121 and 49

Answers

Answer:

i dont rlly know

Step-by-step explanation:

-121+49 then divide by 2

Answer:

  -36

Step-by-step explanation:

The arithmetic mean of n numbers is their sum, divided by n.

The arithmetic mean of your 2 numbers is ...

  (-121 +49)/2 = -72/2 = -36

The arithmetic mean of -121 and 49 is -36.

__

Many calculators and spreadsheets have an arithmetic mean function built in.

Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]

Answers

7n2-7 = 7 (n -1)(n+1)

Answer: 7(n + 1)(n - 1)

Step-by-step explanation:

[tex]7n^2-7[/tex]

[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]

[tex]=7n^2-7\cdot \:1[/tex]

[tex]$$ Factor out the common term 7[/tex]

[tex]=7\left(n^2-1\right)[/tex]

[tex]$$ Factor $n^2 - 1[/tex]

[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]

[tex]=n^2-1^2[/tex]

[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]

[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]

Gina has a bag of marbles with 5 different colors. She randomly selects a marble from
the bag and then returns the marble to the bag. She does this 300 times. The table
below shows her results.

Answers

Answer:

[tex] \frac{7}{20} [/tex]

Step-by-step explanation:

Red marbles = 33

Blue marbles = 72

Probability of selecting red or blue marbles:

[tex]33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20} [/tex]

Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year he has worked 97 hours. Which equation will solve for how many more hours (h) Jeff will volunteer for?

Answers

Answer: h + 97 = 240

Step-by-step explanation:

Total hours worked per year: 240 hours

Current hours worked so far: 97 hours.

The variable h represents hours

Therefore, h + 97 = 240

Students in Ms. Seiko's class recorded the number of books they read over the summer.
books read
7 8 9 10 11 12 13 14 15
Mrs. Vitale's class is the same size as Ms. Seiko's class.
One fourth of the students in Mrs. Vitale's class read 11 books
How many students in Mrs. Vitale's class read 11 books? Enter your answer in the box
students

Answers

44 students in  Mrs. Vitale's class read 11 books

Ratio and proportions

Let the number of students that read 11 books in Mrs. Vitale's class be x

If One fourth of the students in Mrs. Vitale's class read 11 books, then

1/4 x = 11 books

x = 11 * 4

x = 44

Hence 44 students in  Mrs. Vitale's class read 11 books

Learn more on ratio and proportion here: https://brainly.com/question/2914376

Answer:

Step-by-step explanation:

The total number of students that are plotted on the line plot is 20.

We are given that Mrs. Vitale's class is the same size as Ms. Seiko's class so both classes have 20 students in each.

One fourth of the students in Mrs. Vitale's class read 11 books.

1/4 *20/1 =5 students

Find the 14th term of the following geometric sequence 1,2,4,8,…

Answers

Answer:

The 14th term is 8,192

Step-by-step explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term  : 2*2 = 4

4th term  : 4*2 = 8

So, we can simply carry out this process.

5th term  : 8*2 = 16

6th term  : 16*2 = 32

7th term  : 32*2 = 64

8th term : 64*2 = 128

9th term :  128*2 = 256

10th term : 256*2 = 512

11th term  : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

Answer:

8192

Step-by-step explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

Select all the expressions that are equivalent to 40% of 90.

Answers

Answer:

36

Step-by-step explanation:

Evaluate the following, if a=7, b=3, c=2

what is a2 ( two is a exponet )-5bc-1
please hurry.
i'll give you 70 points!

Answers

Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

18

HELP DUE TMRW!


The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?

Answers

Step-by-step explanation:

so, the scale is 1/4 cm to 1 m.

1 m = 100 cm.

1 m² = 100×100 = 10,000 cm²

that means the scaling factor is 0.25/100 = 1/400

(after multiplying with 4/4).

so, every length in reality has to be multiplied by 1/400 to get the length on the plan.

the area of a rectangle is

length × width.

now, applying the scaling factor means that

length×1/400 × width×1/400 = 40

length × width × 1/400×1/400 = actual area × 1/400² = 40

actual area = 40×400² = 6,400,000 cm²

= 6,400,000 / 10,000 = 640 m²

Math riddle where do you put smart hot dogs
no links and will give brainliest

Answers

Q: Where do you put a smart hot dog? A: On the honor roll.

The solution is, the final answer is 78.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The parts of the final expression are ...

 6 walker = 150

 walker = 150/6 = 25

 yoda^4 = 81

 yoda = 81^(1/4) = 3

2 Rtwo +100 = 120

Rtwo = (120 -100)/2 = 10

 luke + yoda × Rtwo + walker × Rtwo = 285

 luke + 3×10 + 25×10 = 285

 luke = 285 -280 = 5

And the grand finale:

 luke ^ yoda - Rtwo(walker / luke) + yoda

= 5^3 -10(25/5) +3 = 125 -50 +3

= 78

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#SPJ2

Complete question:

May the fourth be with you math riddle.

picture is attached.

Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now?

Answers

The new value of the stock after the percentage decrease and increase is  $3666.60.

What is the new value of the stock?

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

To learn more about percentages, please check: https://brainly.com/question/25764815

Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to represent the sequence. (c) Find the 15th term in the sequence.

Answers

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

(a)

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

(b)

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

(c)

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

Part A
Which angles are congruent to ∠5 ? Select all that apply.
A. ∠1
B. ∠2
C. ∠3
D. ∠4
E. ∠6
F. ∠7

Answers

Answer:

A, F, C

Step-by-step explanation:

(I think)

Algebra 1 :
Work must be shown….

write the an equation for linear function f(x) if f(3)=-4 and f(2)=6

Answers

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

16.4 units to the nearest tenth.

Step-by-step explanation:

sin 66 = 15 / x

x *  sin 66 = 15

x = 15 / sin 66

= 16.4196

sin66=P/Hsin66=15/xx=15/sin66x=16.42

Done!

If 5^2x = 1, what is the value of 'x' ?​

Answers

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

X = 0.04 because 5^2 (0) = 0 not 1

x2 + y2 = 100
+
Is a function

Answers

Answer:

Yes, it is...

Step-by-step explanation:

x^2 + y^2 = 100

---This is an equation for a circle.

A circle does not pass the vertical line test, so it is not a function.

Answer: NOT a function

Hope this helps!

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