Answer:
5/8 63% or .625
Step-by-step explanation:
Done.
The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a model of it using blocks.
a) Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?
Answer:
365 and 1/2 blocks will be used
The scale fact is 0.25
Step-by-step explanation:
So . .
We create a ratio 1:2This represents 1 block is equivalent to 2 feet
Simply 1450 ÷ 2 = 725So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 = 362.5 blocks will be used
To find the scale factor simply divide the deminsions of the new shape by old
362.5 ÷ 1450 = .25You have a stack of sticky notes in six different colors. There are 600 sticky notes in the stack(100 of each color). The height is 6 cm, and the width and length are both 7.62 cm. The six colors are stacked on top of each other with the height(so each colored stack is 1cm).
1. What is the volume of each section? Describe two methods to find the volume of one of the sections.
2. What is the height of one sticky note? Describe two methods to find the height of one sticky note.
---------------------------------------------------------------------------------------------------------------------
3. A stack of circular sticky notes has 400 sticky notes in total. The cylinder has a diameter of 3 in. and a height of 0.8 in. Find the surface area of one sticky note. Use 3.14 for pi. Show your steps.
Thank you so much for helping!!
Answer:
1. 58.0644
2. 0.01
3. 14.16
Step-by-step explanation:
1. V = l*w*h
v = 7.62*7.62*1
v = 58.0644
or
v = 7.62*7.62*6
v = 348.3864
v = 348.3864/6
v = 58.0644
2. 1cm/ 100 sticky notes = 0.01
6cm/ 600 sticky notes = 0.01
3. A=2πrh+2πr2
=2·π·1.5·2×0.002+2·π·1.52
=14.15602
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height (h) = 1 cm (for each colored stack)
Substituting the values into the formula:
V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]
V = 58.09364[tex]cm^3[/tex].
Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:
Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]
Volume of each section = 5809.364 cm³
Method 2: Using the total volume of the stack and proportions
The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.
Given:
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height of stack = 6 cm
Volume of stack = l × w × height of stack
Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]
Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)
Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:
Volume of each section = Volume of stack divided by 6
Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]
Volume of each section = 58.25424 cm³ (rounded to five decimal places)
The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.
Method 1: Direct division
The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.
Height of stack = 6 cm
Number of sticky notes per color = 100
Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]
Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]
Height of one sticky note = 0.06 cm
By Using proportions, method 2 can be solved
Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].
Height of stack = 6 cm
Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]
Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]
Height of one sticky note = 1 cm
To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.
Total number of sticky notes = 400
Diameter of cylinder = 3 in
Height of cylinder = 0.8 in
[tex]\pi[/tex] = 3.14
Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.
Radius (r) = [tex]\dfrac{3}{2}[/tex] = 1.5 in
Lateral Surface Area (A) = [tex]2\pi rh[/tex]
A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in
A = 9.504 sq inch (rounded to three decimal places)
Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:
Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]
Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]
Surface area of one sticky note ≈ 0.02376 sq inch.
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
Learn more about cylinder here:
https://brainly.com/question/3216899
#SPJ6
Please Help
A sports writer the number of games each baseball team ronin the past 30 years. She wants to know how many teams won exactly 100 games
Answer: A
Step-by-step explanation:
Look at the coordinate plane below. Give directions of how to get to the point representing the duck pond, from the origin (0,0).
Answer:
Answer below in step section
Step-by-step explanation:
First we see the duck pond is at point (7,5) on the graph.
One way to get from (0,0) to (7,5) is to go up 5 points from the orgin and then turn right and go 7 points to get to Duck Pond.
Let me know if you need different directions because there are multiple ways to get from the orgin to the duck pond point!
Select the equivalent expression. (3² - 5)³ =?
Answer:
(9 - 5)^3 = ?
or
9^3 - 5^3 = ?
Answer:
64
Step-by-step explanation:
The computation inside the parentheses must be done first according to Order of Operations rules:
(3² - 5)³ = (9 - 5)³ = 4³ = 64
ANswer all questions for 100 points
Solve the following inequality for x.
2(x-3)>6
——————————————————————
Solve the following equation for h:
4(2h-10)=10h+40
——————————————————————
Create a tree diagram to determine the outcome:
I have 5 shirts, 4 pairs of pants, and 10 pairs of socks. How many outfits can I create?
——————————————————————
Determine if the following is a fair way to collect data. If it is not fair then state how I can improve my data collection method.
I ask everyone in my honors math class, at my private school, if they prefer hockey, golf or tennis as a sport.
——————————————————————
I asked my friends at my lunch table about their favorite sandwhich. They all said it was salami. I can therefore assume everyone likes salami sandwhiches, correct? If I am not correct then tell me how to make a better survey.
——————————————————————
Simplify the following expression:
7(R+T)+8R-3T
——————————————————————
Simplify the following expression:
4(M-N)+2N-7M+12-5M
——————————————————————
I have a regular number cube, and I have 10 cards (5 of which are red, and 5 of which are blue). What is the probability of me rolling a 3 or 5 and picking a blue card? Draw a tree diagram if it helps you determine the outcomes.
——————————————————————-
I am trying to determine what kind of music to listen to today. I have country, rock, pop, classical and alternative. What is a fair way to determine the music I should pick, since I have no preference today?
Answer:
x>6h = -40200 outfits?You can assume that everyone at your lunch table like salami sandwiches, but you can not speak for everyone everywhere. You might instead ask everyone at your school what their favorite sandwich is, or you might go even broader and ask your whole school district or even the whole state.15R+4T-8m-2n+12You have a 1 in 6 chance or rolling either a 3 or a 5 and the picking a blue card. (please note, this has been simplified)You can assign each a number 1-5 and role a 5 sided die (singular for dice)Step-by-step explanation:
If you need an explanation for any of these, just message me. I don't have time to write one out for all of them right now, but I can probably spare some time for 1 or 2 of them later. Also, I don't know the answer to #4. That is why there is a question mark there.
x>6
h=-40
200
no, you can not speak for everyone you should ask everyone at your school what their favorite sandwich is
15R+4T
-8m-2n+12
You have a 1 in 6 chance
You can assign each a one a letter A-E and have a friend pick one of the letters
In what step did he make an error?
Answer:
step 4
Step-by-step explanation:
because y is equation 2 is -y so the sign should have changed for -2x it should have been +2x since - and - equals to +
Find the value of x [tex]\frac{3}{2}x+5=14.[/tex]
Answer:
x=6
Step-by-step explanation:
bc 3/2 x 6 = 18/2 = 9 9+5=14
Answer: 6
Step-by-step explanation:
(3/2)x + 5 = 14
(3/2)x = 14 - 5
(3/2)x = 9
x = 9 / (3/2)
x = 9*2/3
x = 18/3
x = 6
Please help I WILL GIVE BRAINLYEST
What is the surface area of the rectangular solid below?
Answer:
c, I believe. I'm not 100% sure.
The cylinder and the cone have the same volume and the same height. If the radius of the base of the cone is 3 cm, then the radius of the base of the cylinder is _____ cm.
Step-by-step explanation:
I hope you understood if yes mark me brainliest
Find the GCF of each pair of monomials 10x and 25
Answer:
5
Step-by-step explanation:
1 - Write the prime factorization of each monomial:
10x = 2 · [tex]\boxed{5}[/tex] · x
25 = [tex]\boxed{5}[/tex] · 5
The greatest common factor of the two minomials is:
5
13. Ten people wish to play in a basketball game. In how many different ways can two teams of five players each be formed?
Tom and Susan park at different lots. To see which lot is busier, they count the numbers of cars in the lots each day as they arrive. Their data are shown in the box plots. Image of a number line with box plot for Tom's data and a box plot for Susan's data Answer the questions to compare the variability of the data sets. 1. What is the interquartile range for Tom's data? Explain how you found the interquartile range. Write your answer in the space below. 2. What is the interquartile range for Susan's data? Write your answer in the space below. 3. Whose data are more variable? Write your answer in the space below.
Answer:
Please see my Work, Attached.
Step-by-step explanation:
64. If six black, five red, four white, and two green disks are to be arranged in a row, what is the number of possible color arrangements?
Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. Then sketch the hyperbola using the asymptotes as an aid.
25. \frac{(x-1)^{2}}{4}-\frac{(y+2)^{2}}{1}=1
Step-by-step explanation:
her this is the answer for the question
The two plots below show the heights of some sixth graders and some seventh graders of a school:
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.7. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
A. 0.5
B. 1.2
C. 1.7
D. 3.4
Answer
(B) 1.2
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPWILL MARK BRAINLIEST
1. 4x' = 36 in
x' = 9 in
As it's increased by 6 inches we get x = 9-6 = 3 in.
An equation for this is 4x'/4-6 = x
2. 2x-26=4 ==> x = (4+26)/2 (which is $15 each)
answer
1. 9 inches and 2. $18
Step-by-step explanation:
Pls Help AGAIN! I will mark brainliest if correct!
The rectangular prism has ___ lateral faces.
A. 3
B. 4
C. 6
D. 8
The rectangular prism has a surface area of ____ square inches.
A. 127
B. 198
C. 252
D. 264
Answer:
• the rectangular prism has 4 lateral faces.
• the rectangular prism has a surface area of 254 square inches.
Step-by-step explanation:
are you sure you copied the choices right?
because as far as i know the second one, the surface area of the rectangular prism is 254 square inches.
Answer:
The rectangular prism has 4 lateral faces.
Explanation: a rectangular prism has 4 long faces.
The rectangular prism has a surface area of 254 square inches.
Explanation: use the surface area formula: A=2(wl+hl+hw)
W=7
L=9
H=4
A= 2(7*9+4*9+4*7)
A= 2(127)
A= 254 square inches
Hope this helps!
Answers:
___ sold ___ more rings than ___
Jacob 5 lou
lou 8 jacob
20
15
Answer:
Lou sold 5 more earings than JacobStep-by-step explanation:
Step 1
Find 20% of 200
For fraction: divide 20 by 100 and remove the % sign.
[tex]{20}\%=\frac{20}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
[tex]{20}\%=0.2[/tex]
Multiply the decimal or fraction by the quantity that equals 100%
[tex]100[/tex]%[tex]=200[/tex]
[tex]\frac{20}{100} *200=0.2*200=40[/tex]
20% of 200 is 40
Lou sold 40 rings
Step 2
Find how much more or less earings did Lou sell than Jacob
40-35=5
So Lou sold 5 more rings than Jacob
Final Answer:Lou sold 5 more earings than Jacob
An account earns 3% yearly simple interest. How much interest will you earn in 2 years if you put $820 in the account
A. $869.94
B. $49.94
C. $869.20
D. $49.20
Answer: 820*2*0.03=$49.20
Step-by-step explanation: Principle*rate*time=answer
please help i need help
Not my work, but it was expert verified if that help! Have a lovely day!
HELPPPPPPPP I NEED THIS DONE ITS DUE AT 11:30!!!!!!
step by step explanation please. i want to try to understand it.
Answer:
[tex]V_{composite\: figure} =678.24\: in^3[/tex]
Step-by-step explanation:
For a single cylinder:radius (r) = 3 in (Given)height (h) = 8 in (Given)It is given that: all the three cylinders are identical, means their radii and heights are equal.Thus, the volume of composite figure will be equal to three times the volume of single cylinder.[tex]\implies V_{composite\: figure} =3(\pi r^2 h)[/tex][tex]\implies V_{composite\: figure} =3(3.14\times (3)^2 \times 8)[/tex][tex]\implies V_{composite\: figure} =3(226.08)[/tex][tex]\implies V_{composite\: figure} =678.24\: in^3[/tex]Answer:
Step-by-step explanation:
For a single cylinder:
radius (r) = 3 in (Given)
height (h) = 8 in (Given)
It is given that: all the three cylinders are identical, means their radii and heights are equal.
Thus, the volume of composite figure will be equal to three times the volume of single cylinder.
Step-by-step explanation:
Which of the following conditions produces a unique triangle?
Answer: I would say A because it makes the most sense
Step-by-step explanation:
Explain and Answer!!!!
Divide the arrow into upper triangle and lower rectangle
area of triangle :-
[tex] \frac{1}{2} \times base \times height[/tex]
[tex] \frac{1}{2} \times 20 \times (15 + 8 + 8) \\ \frac{1}{2} \times 20 \times 31 = 310[/tex]
area of rectangle :-
[tex]length \: \times \: width \\ 15 \times 20 = 300[/tex]
add both the area :-
area of triangle+ area of rectangle = area of arrow
310 + 300 = 610 cm²
The picture shows a circular clock face.
The long hand of the clock is about 5 inches long. What is the approximate area of the clock face?
A. 5π
square inches
B.
10
π
square inches
C.
25
π
square inches
D.
100
π
square inches
Answer:
[C] 25π square inches
Step-by-step explanation:
Given that:
the long hand of the clock is about 5 inches long.
To Find:
What is the approximate area of the clock face?
Solve:
Formula - A =πr²
Note that;
π = 3.14 (about)
Radius - 5 inches
A =πr²
A = 3.14(5)²
A = 3.14(25)
A = 78.5
Now let see the answer choices:
A. 5π square inches ≈ 5(3.14) = 15.7
B. 10 π square inches ≈ 10(3.14) = 31.4
C. 25 π square inches ≈ 25(3.14) = 78.5
D. 100 π square inches ≈ 100(3.14) = 314
Hence, the answer is [C] 25 π square inches
Kavinsky~
Answer:
[C] 25π square inches
Step-by-step explanation:
25(3.14) = 78.5
What is true about all points on the y-axis? All have an x-coordinate of 0. All have a y-coordinate of 0. All have the ordered pair (0, 0). All are directly above or below the origin. All are directly to the right or left of the origi
Answer:
All have an X coordinate of 0
Step-by-step explanation:
Because if a point is to be on the Y axis than it would have to not move on the x axis. Therefore the value of the X coordinate must be zero for a point to be on the Y axis. Please rate brainliest.
Answer:
it’s A and D I hope you get 100 :D
Step-by-step explanation:
coolhedgehog200 was wrong about their answer is actually All have an x-coordinate of 0, and All are directly above or below the origin. So I picked one it was wrong until I got it right myself because it was wrong so A and D are correct for those who need it in the future my names Mimi anyway byee.
Hope this helps!!
HAVE AN AMAZING DAY
Pls help me i need a correct amswer
Answer:
9
Step-by-step explanation:
I think
b = base
h = height
A = hb / 2
A = (3*6) / 2
A = 18 / 2
A = 9 units2
Hey need some help, I don't really under stand, I see that every one of them can be divided by 8 though. Thanks for the help!
Answer:
the answer should be 1:8 or 1/8 either way it tells you in the scale factor and in the fraction so remember we need to divide first the sculpture then the model since the sculpture has highest numbers and then the mode so as shown below here are the results of each one.
56/7=8
40/5=8
72/9=8
so the scale factor should be 1:8 since 8 units is 8 units in real life since and the fraction should be 1/8 so hopefully those are the correct answer and tell me if i am wrong so i can correct the answer to make it better.
Step-by-step explanation: