8. A teacher is cutting along the diagonal of a rectangular piece of construction
paper for a bulletin board which is 11 inches long and 8.5 inches wide. What
will be the length of the cut?
Answers
Answer:
The length of the diagonal is 13.90 inches
Step-by-step explanation:
This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.
The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.
To calculate this length, we shall be making use of the Pythagoras’ theorem
Please check attachment for the kind of figure i’m trying to paint.
Let’s call the diagonal D
Using the Pythagoras’ theorem,
D^2 = 11^2 + 8.5^2
D^2 = 121 + 72.25
D^2 = 193.25
D = √193.25
D = 13.90 inches
Related Questions
How do you find the mean of a data set ?
Answers
Step-by-step explanation:
You have to add up all the data values and then divide it by how many numbers there are. For example:
1,2,3,4,5,6,7
1+2+3+4+5+6+7= 28
There are 7 numbers, so 28/7 equals 4
Mean= 4
Ex: data set of 3,5,7,8
Add together 3+5+7+8=23
Divide 23/4=5.75
5.75 is your mean
In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captured of which 36 were tagged. About how many grizzly bears are in the population?
Answers
Answer:
539
Step-by-step explanation:
Let the total population of grizzly bears=x
In the first capture, 97 were tagged.
Therefore, ratio of the total population to the tagged=x:97
A month later, when 200 bears were captured, 36 were tagged.
Ratio of the sample to the tagged=200:36
Since a sample is representative of the population, the ratios are the same. We therefore have:
x:97=200:36
[tex]\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539[/tex]
There are about 539 grizzly bears in the population
A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answers
Answer:
[tex]\frac{1}{3}[/tex] chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
Learn more about the probability here:
https://brainly.com/question/24756209
Factor completely −5x3 + 10x2
Answers
Answer:
(2 - x)5x²Step-by-step explanation:
-5x³ + 10x² = 10x² - 5x³ (Commutative property of addition)
= 2×(5x²) - x×(5x²)
= 5x² × (2 - x) (Factor out 5x²)
Answer:
−5x2(x − 2)
Step-by-step explanation:
I took the test
what’s the answer for this question
Answers
A=5*5
=25 square feet
I just need some help with my pre-alg :)
Answers
Answer:
C
Step-by-step explanation:
Look at the attachment
How do you round 109.3034
Answers
Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!
Step-by-step explanation:
If f(x) = 22 + 2x – 10, what is f(-2)?
-16
-10
Answers
Answer:
idkfin4infiotnoitrnin
Step-by-step explanation:
bye
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (-4, 2)
Answers
The answer that I got was 7/7
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.
Hope this helps :)
PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?
Answers
Answer:
The cost of parking in the garage for 75 minutes is 4.875.
Step-by-step explanation:
The costs of parking h hours is given by the following function:
[tex]f(h) = 4.5 + 1.5(h-1)[/tex]
Cost of parking 75 minutes.
1 hour is 60 minutes. How many hours are 75 minutes?
1h - 60 min
xh - 75 min
[tex]60x = 75[/tex]
[tex]x = \frac{75}{60}[/tex]
[tex]x = 1.25[/tex]
75 minutes is 1.25 hours. So we have to find f(1.25).
[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]
The cost of parking in the garage for 75 minutes is 4.875.
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the line of symmetry?
Answers
Answer:
see attachement
Step-by-step explanation:
can someone please help me :)
Answers
Answer:
B
Step-by-step explanation:
Need help with this question anybody there
Answers
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answers
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
what’s the sum of 0.25 and 0.6
Answers
the answer is 0.85
because 25 plus 60
is 85
please help will vote brainliest
Answers
Answer:
D
Step-by-step explanation:
Start by factoring out each radical.
[tex]\sqrt{16x^{3}} = \sqrt{16}*\sqrt{x^{3}} = 4\sqrt{x^{3}}[/tex]
[tex]\sqrt{8x} = \sqrt{4} * \sqrt{2x} = 2\sqrt{2x}[/tex]
Add them to get:
[tex]\frac{4\sqrt{x^{3}}}{2\sqrt{2x}} = \frac{4\sqrt{x}\sqrt{x}\sqrt{x}}{2\sqrt{2}\sqrt{x}} = \frac{4\sqrt{x}\sqrt{x}}{2\sqrt{2}} = \frac{2x^{2}}{\sqrt{2}} = \sqrt{2} x^{2}[/tex]
D is the answer
Un faro enciende cada 12 segundos, otro cada 18 segundos y un tercero cada minuto. A las 7:30pm los tres coinciden. Averigua a qué hora vuelven a coincidir los 3. (Siga el formato de hora correcto. Por ejemplo: 7:30pm. Sin espacios)
Answers
Answer:
7:33 p.m.
Step-by-step explanation:
Para resolver este problema, necesitamos encontrar el mínimo común múltiplo de los intervalos en los cuales se encienden los faros. Para eso necesitamos primero convertir el tiempo que tarda el tercer faro en segundos. Sabemos que cada minuto tiene 60 segundos en total, así que el tercer faro se encenderá cada 60 segundos.
Luego de tener todos los tiempos en segundos, procedemos a escribirlos en una tabla como la siguiente:
12 18 60
La idea es buscar los números primos que todos tengan en común y dividirlos todos entre dichos números primos hasta que ya no podamos dividirlos más, por ejemplo, estos números se pueden dividir todos dentro de 2 así que hacemos eso:
12 18 60 | 2
6 9 30 | 2 dos de estos números nuevos pueden ser dividos entre dos también, así que hacemos justo eso.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3 ahora todos pueden ser divididos entre 3, así que obtenemos:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3 uno de estos números se puede dividir entre 3 y obtenemos.
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5 y finalmente dividimos entre 5 para obtener:
12 18 60 | 2
6 9 30 | 2
3 9 15 | 3
1 3 5 | 3
1 1 5 | 5
1 1 1
luego que terminamos la tabla tomamos todos los números que usamos para dividir y los multiplicamos entre si para obtener:
2*2*3*3*5=180s
los tres focos se volverán a prender luego de 180s. Si pasamos los 180s a minutos, tenemos que:
[tex]\frac{180}{60}=3min[/tex]
entonces lo único que tenemos que hacer es sumarle esos 3 minutos a la hora que nos dieron originalmente para obtener:
7:30 + 3 min = 7:33pm
la cual es nuestra respuesta.
Use the given information below to find the first 6 terms of a sequence. *
Captionless Image
1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...
Answers
Answer:
2. -1, -7, -19, -43, -91, -187,...
Step-by-step explanation:
[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]
Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...
Answer this to be called the smartest...... What has 4 lags in the morning, 2 in the afternoon, and 3 at night..?
Answers
Answer:
A person
Step-by-step explanation:
I have heard this riddle multiple times, it is very well known and ( in my opinion ) very intriguing;
If we are considering the 4 legs in the morning, we can assume it to be a baby crawling on all 4's. 2 legs in the afternoon represents a more elderly person, a young child or adult on their 2 legs, and 3 in the night models an elderly person, using a walking stick as their " leg "
Answer; In other words, a person has 4 legs in the morning, 2 in the afternoon, and 3 at night
A human is one who has 4 legs in the morning, 2 in the afternoon, and 3 at night.
What is a riddle?
A statement, inquiry, or phrase with a hidden or double sense that is presented as a problem to be answered is called a riddle. A riddle often consists of a topic or a statement with numerous interpretations that must be resolved. Riddles can be humorous brain teasers or wanted-to-think puzzles. It is similar to working to remedy a riddle.
Morning represents a baby. A baby crawling in the morning has four legs and hands included.
An adult represent afternoon walks with two legs and they are the one who have to sand on their own.
An elderly person representing night who walks with the aid of a cane or walking stick is known as "3 legs in the evening." as they might have trouble while walking.
Learn more about riddle, Here:
https://brainly.com/question/478260
#SPJ2
what is t if 5/7t = 15
Answers
Answer:
21
Step-by-step explanation:
15/ 5/7 = 21
Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?
Answers
Answer:
She would earn 728 $ in commission
Step-by-step explanation:
−36+x<8?
Need help fast :p
Answers
x < 44
Answer x < 44
Answer:
download my math scanner it's the only math app I know actually works
Saad purchases 75 books and 75 dictionary .If a book costs Rs 476 and a dictionary costs Rs 128. Find the total money spent on books and dictionaries. *
Answers
Answer:
75.9
Step-by-step explanation:
Need help! Up to 100 points
Link or something. It's has been a nightmare with these questions...
Answers
Answer:
Part B
Part 1 describes a quartic function that's been reflected over the x-axis and translated up and to the right. (It's quartic because it has those bumps; it's like a quadratic in that its end behavior is down-down, but it has more bumps than a quadratic.)Part 2 describes an exponential decay function that approaches a horizontal asymptote. (This one looks just like Part 3 in the previous graph.)Part C
You're going to have to do this scatter plot on your own with the given software, because I don't know how your software works, but I can tell you that #1 will look like a quadratic, #2 a cubic, #3 a quartic, #4 a really fun third root that looks like a cubic on the y-axis instead of the x-axis.
Part D
You can look on Worldometer for graphs of the coronavirus; they have graphs in every individual country. I advise using the total cases on a logarithmic scale, because the question specified that it can't be linear.
HELPPP URGENT URGENT HELP PLEASE!
in the diagram below what is the objects surface area?
if you answer this not only you will get hella points you will be considered SUPERIOR and a GOD OF BRAINLY
Answers
Answer:
Surface Area = 4928 ft^2
Step-by-step explanation:
Easy way -
First find the area of each face i.e.
56 * 20 = 1120
65 * 20 = 1300
33 * 20 = 660
2 * (1/2 * 56 * 33) = 1848
Total = 4928 ft^2
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answers
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
What is the volume of this solid?
A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches.
Recall the formula V = Bh.
280 cubic inches
385 cubic inches
465 cubic inches
560 cubic inches
Answers
Answer:
the answer: 280ci
Step-by-step explanation:
:] [:
Answer:
280
Step-by-step explanation:
WHAT IS 666x666 help me
Answers
Answer:
666 x 666 = 443,556
Answer:
443556
Step-by-step explanation:
666 * 666 = 443556
666
x666
-------
443556
Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the basketballs cost $7 each. Coach Walker has $208 for the purchase. How many of each type of ball can she buy?
Answers
Answer:
13 footballs and 13 basketballs
Step-by-step explanation:
Let f = footballs
b = basketballs
f=b since we are buying an equal number
9f+7b = 208
Substitute f=b
9f+7f = 208
16f = 208
Divide by 16
16f/16 = 208/16
f=13
We are buying 13 footballs
Since f=b
We are buying 13 basketballs
Describe what math step you would do to solve this equation ?
Answers
Answer:
Multiply each side by 14.7
Step-by-step explanation:
cos 50 = m / 14.7
Multiply each side by 14.7
14.7 cos 50 = m /14.7 *14.7
14.7cos 50 = m
Answer:
multiply both sides by 14.7
Step-by-step explanation:
