What is the circumference of a circle circumscribed around a rectangle with sides 10 cm and 24 cm?

Answers

Answer 1

if you can picture it , or sketch it. The diagonal of the rectangle (line connecting opposite corners) is the diameter of the circle. You can find the diagonal by using the Pythagorean theorem for a right triangle. The diagonal would be the hypotenuse.

10^2 + 24^2 = 676
sqrt(676) = 26

The formula for circumference is: diameter times pi.

C = 26pi

Related Questions

Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < x + 2
y > x + 2

Answers

Answer:

y > 3x+2

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/(x2-x1)

= (2--7)/(0--3)

= (2+7)/(0+3)

= 9/3

= 3

The y intercept is 2, so we can write the equation of the line using the slope intercept form (y=mx+b)

y = 3x+2

The line is dotted so we use either < or > (If it were solid we would use ≤ or ≥)

Since it is shaded above , y is greater than.

y > 3x+2

In complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)

Answers

https://brainly.com/question/8848974
see if this helps

Answer:

The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]

Step-by-step explanation:

Given : Data (1,0), (2,1.5), (5,2.5), (8,3).

To find : Determine the appropriate model for the given data?

Solution :

Data (1,0), (2,1.5), (5,2.5), (8,3).

We plot the data points on the graph and get the best fit line using trend line of the function.

Using regression calculator,

The function has a logarithmic behavior so the best line which represent the data is given by

[tex]y=1.4004\ln (x) + 0.2158[/tex]

and the value of R² i.e. correlation coefficient is given by

[tex]R^2=0.9691[/tex] which is approximately equal to 1 gives you the best fit line.

Therefore, The model for the given point is [tex]y=1.4004\ln (x) + 0.2158[/tex]

Refer the attached figure below.

Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 Mile he stops for water. How much farther must he hike to finish the trail?

Answers

d = 11/12 mile
stop = 1/4 mile
d_remaining = ?????
d_remaining =d - stop
d_remaining = 11/12 - 1/4
1/4 = 1*3 / 4*3 = 3/12 You are doing this so that 1/4 has the same denominator as 11/12
d_remaining = 11/12 - 3/12 = 8/12
Wyatt has 8/12 of a mile to go 8/12 = 2/3 of a mile to go
2/3 mile <<<<<==== Answer.

You could also do this as a decimal
11/12 = 11 divide by 12 = 0.91666666667
1/4 = 0.25
Remainder = 0.9166666667 - 0.25
Remainder = 0.6666666 which is 2/3
I have not been particularly careful about how many 6s you get. Just copy what your calculator says..

Final answer:

Wyatt has 2/3 mile left to hike to finish the 11/12 mile long trail after stopping for water having hiked 1/4 mile.

Explanation:

Wyatt is hiking a trail that is 11/12 mile long, and after hiking 1/4 mile, he stops for water. To calculate how much farther he must hike to finish the trail, we subtract the distance he has already hiked from the total length of the trail.

The calculation would be:

Total trail length - Distance already hiked = Distance remaining

(11/12) - (1/4) = (11/12) - (3/12) = (8/12) miles

After simplifying the fraction, we find that Wyatt has 2/3 mile left to hike to reach the end of the trail.

plz help ill give you brainlist

Answers

Consider this option:
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28

What is the midpoint between points (15,-1),(9,-5)?

Answers

The midpoint is their average.
.. ((15, -1) +(9, -5))/2 = ((15+9)/2, (-1-5)/2) = (12, -3)

susan bought a 1 kilogram bag of grape. on the way home, she ate 125 grams of the grapes. how many grams of grapes does susan have left?

Answers

1 kilogram = 1000 grams

1000 - 125 = 875g

Susan has 875g of grapes left.

Susan has 875 grams of grape left

How to determine the amount left?

The given parameters are:

Amount bought = 1 kgAmount ate = 125 grams

The amount left is:

Amount left = 1 kg - 125 grams

Express kg as grams

Amount left = 1000 grams - 125 grams

Evaluate the difference

Amount left = 875 grams

Hence, Susan has 875 grams of grape left

Answers

-8h ≤ 72
8h ≥ -72
h ≥ -72/8
h ≥ -9

Does the following equation represent growth or decay y=76(1.013)x

Answers

growth because you are multiplying by a positive digit greater than one.

Answer:

[tex]y=76(1.013)^x[/tex]

Growth

Step-by-step explanation:

We are given an equation [tex]y=76(1.013)^x[/tex]

We need to say about growth or decay of above equation.

It is an exponential function.

[tex]y=ab^x[/tex]

Growth or decay depends on the value of b

If b>1 then function is growth

If 0<b<a then function is decay

Now, we compare the the function

[tex]76(1.013)^x\rightarrow ab^x[/tex]

[tex]b=1.013[/tex]

b>1

The value of b is greater than 1.

Hence, [tex]y=76(1.013)^x[/tex] is growth function.

find the equation of parallel line:
find the equation of perpendicular line:

Answers

Consider, please, the suggested option.
Note, that the answers are marked by red.

Answer:

the person on top is right.

Step-by-step explanation:

explain how you can find whether 5/6 or 5/8 is greater

Answers

first you want them both to have a common denominator. So you find the least common factor of 6 and 8 which is 24. So you multiply 6x4 to get 24 then multiply the numerator by 4 (5x4=20) and you would get 20/24. Next multiply 8x3 which is 24, then do the same to the numerator 5x3=15 and you would get 15/24.

next you want to compare the two fractions. Which is greater, 20/24 or 15/24? Well, 20 is greater than 15, so the answer to your question is 20/24 which is 5/6 in the simplest form!!!

final answer: 5/6

5/6 is greater than 5/8

5/6 > 5/8

x 5,7,9,11,13
.................................
y 14,16,18,20,22

Write the rule for the relationship between x and y

y=?

Answers

5 + 9 = 14
7 + 9 = 16
9 + 9 = 18
11 + 9 = 20
13 + 9 = 22

Your answer is y = x + 9

Write in expanded form. Use parentheses to indicate multiplication. (2r) 5

Answers

2 x 5 x r will give you this as well as 10r

If I assume correctly, the eqaution you ment to write is (2r)^5. If I am correct the answer your looking for is (2r)(2r)(2r)(2r)(2r) Hope this help ;-)

premier bank is planning to have a new building constructed

Answers

When you start writing equations, you find the problem statement has a number of holes. We'll do it this way.

Let L, W, N represent the length in feet, width in feet, and number of floors (count). Then it seems we can write
.. L = W +40 . . . . . length is 40 ft more than width
.. 10LW +35000N = 1180000 . . . . . cost is based on foundation area and number of floors. (Here, we assume the 1st floor is sandwiched between the foundation at ground level and whatever it is that is 12 ft high and costs 35,000.)
.. 2(L +W) = 3*(12N) . . . . the height is 12 ft times the number of floors, and the perimeter is 3 times that.

These give rise to a quadratic equation.
.. 10L(L -40) +35000(L +(L -40))/18 = 1180000
Eliminating fractions and dividing by 10, we get
.. 9L^2 +3140L -1132000 = 0
The positive solution is
.. L = (10/9)*(-157 +√126529) ≈ 220.788

There is one solution and it is viable.

_____
The building is approximately 220.8 ft by 180.8 ft and 22.3 floors high.

Answer:

220.8 ft by 180.8 ft and 22.3 floors high.

Step-by-step explanation:

Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.

Answers

6/7.5=0.8 is the angle from his head to the tip of his shadow.

the right answer is A 38.7

Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in boston. if you can choose from three major air carriers, two car rental agencies, and five major hotel chains, how many options are available for your vacation accommodations?

Answers

Final answer:

To find the total number of vacation accommodation options, multiply the choices of air carriers (3), car rental agencies (2), and hotel chains (5) together, resulting in 30 different combinations.

Explanation:

The question involves calculating the total number of vacation accommodation options available given a set of choices for air carriers, car rental agencies, and hotels. This type of problem is a basic combinatorial problem that requires multiplying the number of possibilities for each choice to get the total number of combinations.

To solve this, we can use the fundamental counting principle which states that if there are n ways to do one thing, and m ways to do another, then there are n x m ways to do both.

Applying this principle:

Number of air carriers: 3Number of car rental agencies: 2Number of hotel chains: 5

We multiply these together: 3 x 2 x 5 = 30 total options for the vacation accommodations.

The partially complete anova table given here is for a two-factor factorial experiment source df ss ms factor a 3 2.25 0.75 factor b 1 0.95 interaction 3 0.30 error 16 2.40 0.15 total 6.50

Answers

Final answer:

The student's question involves understanding and completing a two-factor ANOVA table in statistics, which is used to determine if there are significant differences between group means.

Explanation:

The question involves an Analysis of Variance (ANOVA) table used in statistics to test if there are significant differences between the means of three or more independent groups. Given the degrees of freedom (df), sum of squares (SS), and mean squares (MS), one would typically calculate the F-statistic for each source of variance (Factor A, Factor B, and the interaction) by dividing the MS of that source by the error MS. If the calculated F-statistic is greater than the critical F-value from the F-distribution table, one can reject the null hypothesis that the group means are equal. ANOVA is used in various research fields where data needs to be compared across multiple groups or factors.

The ratio of the perimeters of two similar triangles is 3:7. Find the ration of the areas! Please help, I am really not sure. And please explain well in terms that I can understand and draw a visual as well.

Answers

I don't have a visual I can provide, but the ratio of the areas is the square of the ratio of the perimeters of a 2D figure.

Intuitively, you can imagine that the triangle is simply being "scaled up" by a factor of 7/3, so the base scales up to 7/3 its original length and the height becomes 7/3 its original height.

Therefore, the new ratio is the square of the ratio of the perimeters, which is 9:49.

I think that the answer is c can somebody help me out ?

Answers

you are totally right the answer ic C

Answer:
tan F = 40/9 which is the third option

Explanation:
Triangle DEF is a right-angled triangle. This means that we can apply the special trigonometric function.
This means that:
tan θ = opposite / adjacent
In the given:
θ = F
opposite is DE = 40
adjacent is DF = 9
Substitute in the above equation:tan F = 40/9

Hope this helps :)

A website randomly creates an initial password for people when they first sign up for an account. The password consists of five letters, and cannot include numbers or special characters. The letters of the password cannot repeat. What is the approximate probability that a password will have no vowels? What is the approximate probability that the first letter of the password will be m?

Answers

This is a non replacement question, so each letter decreases by 1.

No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.

First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).

21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22

2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.

Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473

Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846

The answers are C: 0.30934 for the first one, and B: 0.03846 for the second.

The list price of a bicycle tire is $28 and the trade-discount rate is 15%. Find the net price to the nearest cent, using the complement method.

Answers

32.94$ is the answer to your question hope this helps

Answer: The net price to the nearest cent is $23.80.

Step-by-step explanation:

Since we have given that

List price of a bicycle = $28

Rate of trade discount = 15%

So, Amount of trade discount would be

[tex]\dfrac{15}{100}\times 28\\\\=\$4.20[/tex]

So, Amount after discount, it would be

[tex]\$28-\$4.20\\\\=\$23.8[/tex]

Hence, the net price to the nearest cent is $23.80.

The measure of the space inside a geometric figure

Answers

Hey
So if u want to know what this would’ve called it would be volume hope this helps have a gr8 day/night

if it is a 2d figure it is area, if it is 3d it is volume

why aren't voluntary response samples usually representative of the population

Answers

voluntary responses simply means, someone approaches you and say "hey, let me give you my take on this or that topic", and they "volunteer" their response to you.

now, the people that will approach you, are just the people that will approach you, it could be all from one specific group, say all women, or mostly women, or mostly doctors, or mostly certain group, and therefore, they'll be giving their take on the topic, but for all we know they're just 15% of the whole population, it just so happen that they approach you.

and if they're 15% of the population, then their opinion matters only at the 15% consideration for the topic.

Answer: it would be (the people who volunteer usually have a motive to do so and will be the ones represented

Step-by-step explanation:

your welcome

“You are collecting email addresses from 74 customers per day, which is about 90% of the daily goal of emails per day.”

Answers

To find the daily goal of emails per day, create an equation.

74 = 0.90x , where x is the daily goal of emails per day.

Dividing both sides by 0.90 gives x = 82.222. We can round down to 82 emails.

Final answer:

To find the daily email goal when 74 is 90%, we divide 74 by 0.9, leading to approximately 82.22 emails. The importance of email is underscored by the billions of users and emails sent daily, highlighting its role in business communication.

Explanation:

The student's question pertains to the calculation of a daily email collection goal based on the collection of email addresses from 74 customers, which they've stated is 90% of that goal.

To find the total daily goal, we can set up a proportion where 90% (or 0.9) of the goal equals 74 customers. We use a simple algebraic equation to solve for the total goal (G): 0.9 * G = 74. Dividing both sides by 0.9 gives us G = 74 / 0.9, which gives us the total goal as approximately 82.22 customers per day.

It's important to understand the context and relevance of emails in our daily lives. As of 2023, there are over 4.2 billion email users globally with up to 60 billion emails sent daily.

This vast number shows the significance of email communication, especially in business communication, making it a fundamental skill to manage effectively. With an average office worker receiving 120 emails daily, it becomes clear why being effective with email correspondence is crucial.

Let t[1..n] be a sorted array of distinct integers, some of which may be negative. give an algorithm that can find an index i such that 1 i n and t[i] = i

Answers

Assuming we need to find i such that
1 ≤ i ≤ n and t[i]=i.

If we need to find only the first occurrence, we can do:

for i:1 to n {
if t[i]=i then return(i)
}

If exhaustive search is required, then put the results (values of i) in an array or a linked list, return the number of values found, and the array (or linked list).

Trish is taking care of the hans family’s dogs. The hans leave 7 cans of dog food for the 3 days they’ll be away. How much food will the dogs get each day if Trish feeds them and equal amount each day?

Answers

Hey there! :D

Divide 7 by 3.

7/3= 2.333333

Or, 2 1/3.

Trish will feed the dogs 2 1/3 cans of food each day.

I hope this helps!
~kaikers

What are the x- and y-intercepts of the line with equations x+2y=4?
Could someone explain this to me?

Answers

we have that
x+2y=4------------ > y=(4-x)/2

the x-intercepts is the value of X for y=0
0=(4-x)/2------------ > x=4--------------------> (4,0)
the y-intercepts is the value of y for x=0
y=(4-0)/2------------- > y=2-------------------> (0,2)

see the attached figure

find the volume of the cylinder 13mm and 16mm

Answers

89888888999999999999

The volume of the cylinder is approximately 8491 mm³.

To find the volume of a cylinder, we use the formula:

[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]

Given:

Radius [tex]($ r $)[/tex] = 13 mm

Height [tex]($ h $)[/tex] = 16 mm

Substitute the values into the formula:

[tex]\[ \text{Volume} = \pi \times (13)^2 \times 16 \][/tex]

[tex]\[ \text{Volume} = \pi \times 169 \times 16 \][/tex]

[tex]\[ \text{Volume} = \pi \times 2704 \][/tex]

Using an approximate value of [tex]$ \pi $[/tex] as 3.14:

[tex]\[ \text{Volume} \approx 3.14 \times 2704 \][/tex]

[tex]\[ \text{Volume} \approx 8491.36 \, \text{mm}^3 \][/tex]

Rounded to the nearest whole number, the volume is approximately 8491 mm³, which matches option B. Therefore, the correct answer is B.

Complete Correct Question:

Find the volume of the cylinder. 13 radius 16 height

A 16,990 mm?

B. 8,491 mm3

C 4,247 mm3

0 D; 2,369 mm?

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate? asking nicely making sure she has a positive credit history explaining that she has many outstanding loans showing her driver’s license

Answers

Answer: The answer is (b) making sure she has a positive credit history.

Step-by-step explanation: Given that Yolo is buying a car from a local car dealership and wants to get the lowest interest rate possible. We are to select the correct option which will most likely help her.

From the given options, we can see that she will get the lowest interest rate possible if she has a positive credit score.

Thus, (b) is the correct option.

She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.

Further Explanation:

Given:

The options are as follows,

(a). Asking nicely

(b). Making sure she has a positive credit history

(c). Explaining that she has many outstanding loans

(d). Showing her driver’s license

Explanation:

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.

To obtain the lowest interest rate she should ask the dealer for lowest interest rate and make sure that she has a positive credit history.

She should [tex]\boxed{{\text{make sure that she has a positive credit history}}}[/tex] to get the lowest interest rate possible. Option (b) is correct.

Option (A) is not correct.

Option (B) is correct.

Option (C) is not correct.

Option (D) is not correct.

Learn more:

Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Credit Risk

Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.

A gear rotates i degree each second. If it rotates for 2 minutes, how many degrees will it measure

Answers

There are 120 seconds in 2 minutes. The gear will turn 120°.

PLEASE HELP PLEASE BABES!!

A bag contains 40 marbles: 12 red, 12 blue, and 16 yellow. What is the probability that a blue is randomly selected?
A) .30
B) .33
C) .40
D) .60

Answers

[tex] |\Omega|=40\\
|A|=12\\\\
P(A)=\dfrac{12}{40}=\dfrac{3}{10}=30\% [/tex]

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