Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?

Answers

Answer 1

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer 2

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

Susie Has A Rectangular Dining Room That Has An Area Of 84. What Is The Area Of The Largest Circular

Related Questions

Having a hard figuring this one out

Answers

It’s the last one: 3xy^2sqrt[y]

I work 4.5 hours I made $90.00 what did I make hourly ​

Answers

[tex]hourly-pay = \frac{total-money-paid}{number-of-hours} =\frac{90}{4.5} =20[/tex]

Thus you made $20 per hour

Hope that helps!

Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?

Answers

Answer:

54÷9= 6

so its $6 a foot of copper

Ok so what you are going to do is divide 54 by 9 and you should get 6 now you have your answer $6.00

Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.

Answers

Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

What is the Bisection Method?

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

Learn more about bisection method on:

https://brainly.com/question/13314803

Write an equation of the line with a slope of 0 and y -intercept of 5 .

y=

Answers

Answer:

y=-5

Step-by-step explanation:

Christian traveled 45.5 miles in 3.25 hours How many feet did Christian travel (1 mile = 5,280 feet)

Answers

Answer:

280,280

Step-by-step explanation:

i believe you just multiply 45.5 times 5280

Step-by-step explanation:

[tex]1mile = 5280feet[/tex]

[tex]45.5miles = x[/tex]

[tex] \frac{45.5}{1} \times 5280[/tex]

[tex]x = 240240feet[/tex]

the simple form of this is....
[tex] {2}^{3 } \div {2}^{ - 5} [/tex]​

Answers

Answer:  [tex]2^8 = 256[/tex]

Explanation:

The rule to use is

[tex]a^b \div a^c = a^{b-c}[/tex]

We subtract the exponents.

So in this case,

[tex]2^3 \div 2^{-5} = 2^{3-(-5)} = \boldsymbol{2^8} = \boldsymbol{256}[/tex]

If the annual interest rate 4%, how long does it tke for you investment of $10,000 to grow to $15,000

Answers

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament
Stem
4
5
6
7
8
9
Leaf
11 3 3 5
0 2 3 4
2 3 3 7
5
7
Key: 50 = 50 digs
13
سية
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary
The mean is
The median is
The modes from least to greatest are and
The range is
The interquartile range is

Answers

Answer:

The mean is 56.6, the median is 53, modes are 41, 43, and 63, the range is 56, and the IQR is 20.

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 849 / 15

= 56.6

Please answer .....
there are 5 blue, 4 red, 1 yellow and 2 green bead in a bag.

A) Find the probability that a bead chosen at random from the bag is blue?



B) Find the probability that a bead chosen at random from the bag is red or yellow?

C) Find the probability that a bead chosen at random from the bag is white?

D) Find the probability that a bead chosen at random from the bag is NOT yellow?



Q4) A fruit bowl contains 4 apples, 3 oranges, and 8 bananas, find the probability of

a) Randomly selected orange

b) Randomly selected apples

c) Randomly selected apple or banana


d) Randomly selected orange ,replace it then select banana


Q5) a number cube labeled by the numbers (3,3,3,3,5,5),what is the probability of

a) The number cube shows a 5

b) The number cube shows a 3

c) Having 5 and then 5 when the number cube rolled twice

d) Having 5 and then 3 when the number cube rolled twice

Answers

Answer:

A) 5/12

B) 5/12

C) 0/12

D) 11/12

-------------

Q4.

A) 3/15

B) 4/15

C) 12/15

D) 8/15

-----------------

Q5.

A) 2/6 or 1/3

B) 4/6 or 2/3

C)

D)

Step-by-step explanation:

find the equation of the circle which passes through points
(3,-1), (3,9) and (-2,4)

Answers

y=-x+2

OR if you are looking for point slope:

y+1=-1(x-3)

I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46

Answers

Answer:

41.86 is the right answer

Step-by-step explanation:

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.) Laura wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the two candies selected are taffy?

Answers

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

What is the conditional probability?

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

Solve for kkk.
8(10-k)=2k8(10−k)=2k

Answers

Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]

k = 8

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

Slope-intercept Form: y = 3/4*x -2

Step-by-step explanation:

From looking at the graph we can get out slopes which is rise/run and y-intercept.

m = 3/4 and b = -2

Slope-intercept Form: y = 3/4*x -2

If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.

How to graph (x-2)(y-3)=0

Answers

Step-by-step explanation:

here you want to isolate the y.

so what you do in the beginning is divide both sides by x-2.

then, you'll have y-3 = 0

so y = 3

this is a horizontal graph that crosses the y axis and y = 3.

20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False

Answers

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

find the value of X.
(√32)²= (X+2)²+x​

Answers

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745

What the dude said above me ^^^ lol

Stephanie has $42,750 in student loans at a 6% compound interest
rate. If she decides to defer payment on the loan for two years, how
much additional interest will be added to the loan at the end of the
two-year deferment?

Answers

Answer:

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.

please help me
and please show good answers ​

Answers

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015

The graph of g(x) contains the points (3, -13) and (-3, 17).
Which statement is true?
OA. The graphs of f(x) and g(x) have the same steepness with negative slopes.
OB. The graph of g(x) is steeper than the graph of f(x).
OC. The graphs of f(x) and g(x) have the same steepness with positive slopes.
OD. The graph of g(x) is less steep than the graph of f(x).

Answers

Answer:

Step-by-step explanation:

Sorry if I got you the wrong answer but I think it's, OB

please show me how you also got the answer as well, thanks a bunch!!​

Answers

Answer:

Step-by-step explanation:

Triangles ABC and DEF are

A. Similar triangles
B. Not similar triangles

Answers

Answer:

A. Similar triangles

Step-by-step explanation:

Triangle ABC

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

They are similar due to the occurrence in angles

How can you use mental math to find 195 × 6?

Answers

You can x 6 by all the number like 5x6 then 9x6 than 1x6 and and your numbers Carried

Yes I wanted to know what is the answer ​

Answers

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

Find the solution set for the equation
|4x - 9| + 3 = 8

Answers

The solution set for the equation |4x - 9| + 3 = 8 are its true values

The solution set is x = 3.5 or x = 1

How to determine the solution set?

The equation is given as:

|4x - 9| + 3 = 8

Subtract 3 from both sides

|4x - 9| = 5

Remove the absolute bracket

4x - 9 = 5 or 4x - 9 = -5

Add 9 to both sides

4x = 14 or 4x = 4

Divide both sides by 4

x = 3.5 or x = 1

Hence, the solution set is x = 3.5 or x = 1

Read more about solution set at:

https://brainly.com/question/1214333

A.
If you wrote the first letter of your name
(in upper-case) on a graph, would it be a
function? (yes/no)
Give the letter you are using to answer
the question.

(THE LETTER I WOULD BE USING IS J)

Answers

Answer:

Yes

J

Step-by-step explanation:

1) For x2 + 35x - 36 = (x + 2)(x + _), the operation signs of the factors are:

Answers

Step-by-step explanation:

please make it a little bit clear

I need help on this question

Answers

~Denki Kaminari here~

Answer:

5t\sqrt(6su) (THE SECOND ONE)

Step-by-step explanation:

simplify the radical by breaking it up into known factors, assuming positive real numbers.

hope this helps :D

To solve application problems using proportions
The ratio of weight on the moon to weight on Earth is 1:6. How much would a 174-pound person weigh on the moon?

Please show work and help please thank you

Answers

Step-by-step explanation:

[tex] \frac{1}{6} = \frac{x}{174} [/tex]

x = 174/6

= 29 pound person weight on the moon.

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