A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle. ​

Answers

Answer 1

Answer:

7 cm

Step-by-step explanation:

Let the side of square be x.

Perimeter of square = 4x

Diameter of circle = x

Radius of circle = x/2

Circumference of circle = 2 * 22/7 * x/2 = 22/7x

According to Question,

4x + 22/7x = 100

(28+22) / 7x = 100

50x = 700

x = 14

Hence, diameter of circle = 14 cm

Radius of circle = (14/2) cm = 7 cm  


Related Questions


(32 +1) + (5 + 7z) =

Help please

Answers

Answer: -5.428

Step-by-step explanation:

33 + 5 + 7z = 0

38 + 7z = 0

7z = -38

z = -38/7

3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2

Answers

Answer:

1/2 is the simplest form of 3/6

1/2 and 2/4 are equivalent fractions

3/12 and 1/4 are equivalent fractions

1/2 and 5/10 are equivalent fractions

i am not completely sure about the improper fractions. sorry

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

i took the test hope you pass

-4n + 1/3m + 4n - 4/5m​

Answers

Answer:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]        

Step-by-step explanation:

Given the expression

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}[/tex]

Group like terms

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}[/tex]

Adding similar elements: -4n + 4n = 0

                                      [tex]=\frac{1}{3m}-\frac{4}{5m}[/tex]          

L.C.M of 3m and 5n will be: 15m

so adjusting fractions based on the LCM

                                       [tex]=\frac{5}{15m}-\frac{12}{15m}[/tex]      

Since, the denominators are equal, combine the fractions:  [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

                                       [tex]=\frac{5-12}{15m}[/tex]

                                       [tex]=\frac{-7}{15m}[/tex]

                                       [tex]=-\frac{7}{15m}[/tex]

Therefore, we conclude that:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]                    

The cost for a pack of 7 padlocks is $23.80 .
Find the unit price in dollars per padlock.
If necessary, round your answer to the nearest cent.

Answers

23.80/7 = 3.40
Answer: $3.40 per padlock

-4.32193257293 simplified?????

Answers

Answer:

-4.3

Step-by-step explanation:

It is -4.3 because the 2 is less than 5

:)). Have a blessed day

If AB is 12, what is the length of A' B'?

Answers

Answer:

8 units

Step-by-step explanation:

As we can see, the two triangles are similar

If two triangles are similar, then the ratio of their sides are equal

thus, mathematically;

12/6 = x/4

2 = x/4

x = 2 * 4

x = 8

I need the lateral and total surface area

Answers

Answer:

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

You go out to dinner at the Olive Garden and the never ending pasta bowl gets you and your family a $62.75 total bill. What would be the amount of a 15% tip?

Answers listed:
$9.41
$10.75
$0.15
$15.00

Answers

Answer:

9.41

Step-by-step explanation:

Can someone please help me

Answers

Answer:

.

Step-by-step explanation:

10x-15y=-15
add 10x to -15
divide each by -15
answer: y= -10/15x+1

What is it? Plz help

Answers

10 answer is 10 ......

the answer is 120.

explanation:

Which are true?
(ANSWER QUICK)
1.All states have ways in which they are able to collect revenue. Some states collect a significant amount of revenue through sales tax, while others take in large
portions of revenue through other kinds of taxes, such as property taxes and state income taxes.


2. You will pay the same tax rate from state to state and for the same classes/types of goods.


3. 5 states do not levy a statewide sales tax: New Hampshire, Oregon, Montana, Alaska, and Delaware.


4. States, such as Pennsylvania, can impose a sales tax on goods and that tax rate can increase if local governments within the state also levarge a sales tax to
collect revenue.

Answers

Answers:

True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.

Yo can somebody please help me with this?

Answers

I think the answer is X = 110°

PLZ HURRY IM BEING TIMED ALSO WILL GIVE BRAIN


Oksana is working to solve the equation 1 3 x = −1 4 x - 10.

1. Add 1 4 x to both sides: 1 4 x + 1 3 x = −10
2. Find a common denominator: 3 12 x + 4 12 x = −10
3. Combine the terms: 7 12 x = −10

What should she do next?

Answers

Answer:

Then she has to divide by 712 into both sides

Step-by-step explanation:

Answer: hope this helps

Step-by-step explanation:

Find the measure of BEF

Answers

Answer:

the answer will be 140

Step-by-step explanation:

i am not sure

Answer:

B. 30

hope it helps.

and sorry, if it's wrong.

Solve for x.
X + 10
12x - 50
x = [?]

Answers

Answer: x = 5

Step-by-step explanation:

Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the number of miles that Tanner drives is 4:3. If Meg drives 112 miles, what was the length of the trip?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{Meg}{Tanner}[/tex] = [tex]\frac{4}{3}[/tex]

total dist. driven = dist. Meg drove + dist. Tanner drove

Meg = 112

Tanner = x    or how far did Tanner drive?

[tex]\frac{112}{x}[/tex] = [tex]\frac{4}{3}[/tex]

[tex]\frac{3}{4}[/tex] * 112 = x

84 =x   so Tanner drove 84 miles  

total driven = 112 + 84

total driven = 196    :)

Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate


Answers

Answer: 21 1/8 kilogram

Step-by-step explanation:

From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:

= 3 3/4 + 7 1/4 + 10 1/8

Note that the Lowest Common Multiple is 8.

= 3 6/8 + 7 2/8 + 10 1/8

= 20 9/8

= 21 1/8 kilogram

Someone help shawty out por favor

Answers

9514 1404 393

Answer:

  AC/GI = BC/HI

Step-by-step explanation:

To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...

  ∠C ≅ ∠I

and the proportional sides are ...

  AC/GI = BC/HI . . . . . . matches the last choice

-2 - 3k - 2 = -2k + 8 - k

Answers

Step-by-step explanation:

I'm not sure but that's what I'm getting 3k=2 jn simplest form

Solve the exponential equation for x 56^(3x-8)=1

Answers

Answer:

x=8 over 3

Step-by-step explanation:

Greatest number of the mortified 39,o83

Answers

Answer:

The answer is "83".

Step-by-step explanation:

Given numbers:

39

83

The greatest number is 83.

True or false plz help

Answers

Answer:

I THINK ITS FALSE

Step-by-step explanation:

BECAUSE ITS WRONG

Answer:

i'mma go with false  

i hope is right

if not sorry

Step-by-step explanation:

Which expressions
are
equivalent to 6 · 6 · 6 · 6 · 6?
Choose 2 answers:

Answers

Answer:

B and C

Step-by-step explanation:

My original answer got deleted because it was incomplete, so...

6 * 6 * 6 * 6 * 6 = 7776

A.) (6²)³ = 46656

B.) 2⁵ * 3⁵ = 7776

C.) 6⁶/6¹ = 7776

D.) 3² * 2³ = 72

Expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.

Expression Equivalent to 6.6.6.6.6. to be determine.

What is evaluation?

It is defined as solutions to mathematical problems.

Here, 6.6.6.6.6 = 6^5


For option a)  
[tex](6^2)3 = 6^6 \neq 6^5[/tex]

For option b)
   [tex]2^5.3^5=(2.3)^5=6^5[/tex]

For option c)
    [tex]\frac{6^6}{6^1}=6^5[/tex]
For option d)
    [tex]3^2.2^3 \neq 6^5\\[/tex]

Thus, expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.

Learn more about evaluation here:
brainly.com/question/12837686

#SPJ2

What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?

Answers

Answer:

-4

Step-by-step explanation:

Given:

[tex] y = -4x - 3 [/tex]

Required:

Slope of the line

SOLUTION:

The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].

Where, m is the slope, and b is the y-intercept.

Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.

m = -4

2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers

Answers

Answer:

(2x+5)(x-1)

Step-by-step explanation:

2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)

Someone, please answer this ASAP.... it's due today :(

At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?

Answers

Answer:

Blue marlin

Step-by-step explanation:

X + (x + 1) = 132
x(x + 1) = 132
2x = 132
x2 = 132

Answers

Answer:`211

123123

Step-by-step explanation:

One number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .

Answers

Step-by-step explanation:

Let x be the 2nd number.

Then the 1st number is 4x + 3.

We have 4x + 3 + x = 43, 5x = 40, x = 8.

Hence the numbers are 35 and 8.

Only do 7. iii
I will mark you as brainliest.. I don't have time please fasttt​

Answers

Answer:

Check my explanation

Step-by-step explanation:

(i) the area of the floor is 30m² (6m · 5m)

(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)

(iii) the area of the walls is:

     24m² (for the 6m by 4m walls)

     20m² (for the 5m by 4m walls)

     88m² in total total


In triangle ACE, G is the centroid and BE = 18. Find BG and GE.

a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9

Answers

Answer: Choice C)  BG = 6, GE = 12

=======================================================

Explanation:

The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.

So,

BG = (1/3)*BE = (1/3)*18 = 6

GE = (2/3)*BE = (2/3)*18 = 12

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

Put another way: GE is twice as long as BG

Let x = BG. This means 2x = GE

Leading to

BG+GE = BE

x+2x = 18

3x = 18

x = 18/3

x = 6 = BG

2x = 2*6 = 12 = GE

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