13 The circumference of the circle and the perimeter of the rectangle are equal.
The circle has a diameter of 20 cm.
The rectangle has a length of 18 cm.
Not drawn accurately
x
20 cm
18 cm
Work out the width of the rectangle, marked x on the diagram.
cm.
Round your answer to 1 decimal place.

Help!!!

13 The Circumference Of The Circle And The Perimeter Of The Rectangle Are Equal.The Circle Has A Diameter

Answers

Answer 1

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = [tex]\pi d[/tex]

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20[tex]\pi[/tex]  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20[tex]\pi[/tex]   = 36 + 2x

Subtract 36 from both sides

20[tex]\pi[/tex] - 36   = 2x

Divide both sides by 2 to solve for "x".

x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]

Plug it into your calculator and then just round it to 1 decimal place.


Related Questions

PLEASE HELP!!!!
ILL GIVE YOU BRAINLIEST!!!!!!

Answers

answer:

-6 is the answer I think

Mr. Reams mixes 12 cups of a paint in a large bowl. He uses the paint to fill 40 small dishes with two fluid ounces of paint each. How many cups of paint does Mr. Reams have left in the bowl?

please help asap <3.

Answers

Mr. Reams has 7 cups of paint after filling 40 small plates with two ounces of liquid paint.

How to calculate how many cups of paint Mr. Reams has left?

To calculate how many cups of paint Mr. Reams has left after filling 40 plates with two fluid ounces of paint, we must take into account the following information:

1 cup = 8 fluid ouncesx cups = 40 fluid ounces

To find out how many cups are equal to 40 ounces, we must perform the following operation.

40 ÷ 8 = 5

Based on the above, Mr. Reams used up 5 cups of paint, so he has 7 cups of paint left which equals 56 fluid ounces of paint.

12 - 5 = 7

Learn more about painting in: https://brainly.com/question/25795412

Which of these is a reason an engineer may choose to use a prefabricated building component?

Answers

Answer: She wants to reduce costs

Step-by-step explanation:

Answer:

She wants the construction to move more quickly

Step-by-step explanation:

this was the correct answer as shown on the quiz. the choices were changed

) Solve the equation.
5.3 + 3 = 23

? ? On both sides

Answers

Hey there!

First, subtract 3 from both sides:

5x+3=23

5x=20

Now, divide both sides by 5:

x=4 (Answer)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

x=4

Step-by-step explanation:

Separate the term x from one side of the equation to solve the problem.

5x+3=23

First, subtract by 3 from both sides.

[tex]\sf{5x+3-3=23-3}[/tex]

Solve.

[tex]\sf{23-3=20}[/tex]

Write down the problem.

5x=20

Then, you divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{20}{5} }[/tex]

Solve.

Divide.

[tex]\sf{20\div5=4}[/tex]

x=4

As a result, the correct answer is x=4.

I hope this helps you! Let me know if my answer is wrong or not.

What is the volume, in cubic feet, of a cone that has a base
7T
area of
square feet and a height of 3 feet?
4.

Answers

Answer:

I AM GROOT I AM GROOT

Step-by-step explanation:

Rewrite the equation without absolute value.
y=|x-3|+|x-2|-|x-5|

Answers

Answer:

  y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}

Step-by-step explanation:

The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.

Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.

For x < 2:

  y = (3 -x) +(2 -x) -(5 -x) = -x

For 2 ≤ x < 3:

  y = (3 -x) +(x -2) -(5 -x) = x -4

For 3 ≤ x < 5:

  y = (x -3) +(x -2) -(5 -x) = 3x -10

For 5 ≤ x:

  y = (x -3) +(x -2) -(x -5) = x

In summary, the equation can be written ...

  [tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]

_____

Additional comment

The absolute value function itself can be described by ...

  [tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]

A police officer marries a bank teller. What is their
combined income each month?

Help please help help please please

Answers

Answer:

The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.

Step-by-step explanation:

All you needed to do was add.

Hope this helps you out

What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Answers

The slope would be the same as that of the given line, and when plugging in (-3,0) into the new equation, you’ll find the y-intercept. If you could give the original given line equation I’d be happy to show you!

Carmen sold 70 homemade lollipops. The price of each lollipop was $0.35. No sales tax was charged. Of the lollipops sold, 5/7 were grape. How much money did Carmen earn from the sale of the grape lollipops

Answers

Answer:

$17.50

Step-by-step explanation:

5/7 = 50/70

this means that 50 of the 70 lollipops were grape

0.35*50 = money earned from grape lollipops.

0.35*50 = 17.50

this means that Carmen earned $17.50 from the sale of the grape lollipops.

Hope this helps!

Find the mistake in this problem. 3(x + 2) = 3x +2

Answers

Answer:

should have multiplied both x and 2 by 3.

3x + 6

Please Help its A Math Problem!!! Please & thank you

Answers

Answer:

The last one is correct answer.

Mike received 79 dollars and 9 movie tickets for his birthday. He went to
a sporting goods store and bought a baseball glove, baseball, and bat. He had
22 dollars left over, how much did he spent on the baseball gear?

Answers

Answer:

57

Step-by-step explanation:

79-22=57

Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was 11.0475.

A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1.45, 1.2, 0.75.

Rounding to the nearest whole number, determine whether Brian’s product is reasonable.

Round Brian’s average speed to
.
Round the activity time to
.
Was Brian’s product reasonable?

Answers

Answer:

12.2*1=12.2

12.2*0.45=5.49

5.49+12.2=17.69

Step-by-step explanation:

Answer:

15 then 1 then yes

Step-by-step explanation:

Rounding to the nearest whole number, determine whether Brian’s product is reasonable.

Round Brian’s average speed to

✔ 15

.

Round the activity time to

✔ 1

.

Was Brian’s product reasonable?

✔ yes

pleaase help meeeeee
³√125

Answers

Answer:

5

Step-by-step explanation:

hope this helps!

The correct answer is 5

AB←→is reflected to form ​​ ​A'B'←→−​.


The coordinates of point A are (0, 2) and the coordinates of point B are (2, 5).


Which reflection results in the transformation of AB←→​ to ​A'B'←→−?





reflection across the x-axis.


reflection across the y-axis


reflection across y = x.


reflection across y=−x.

Answers

Answer: reflection across y = x

Step-by-step explanation:

Answer:

Rotation of 180°

Step-by-step explanation:

heeeeelp for woodkaaaaaaaa

Answers

Answer:

Hope this helps ya! :D

Step-by-step explanation:

Answer:

We can use a table of values or a graphing calc.

Step-by-step explanation:

We can simply plug the function into a graphing calc.

To use a table of values, we simply plug in x-values to get output y-values. Those would be our coordinates to graph, such as (-6, 0) and (0, -3). We would then just draw a line between them.

Determine the missing interior and exterior angles of the triangle shown below.

Answers

Answer:

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Step-by-step explanation:

Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.

Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.

As a result:

∠1 = [tex]180-85=95[/tex]°

∠2 = [tex]180-45=135[/tex]°

∠3 = [tex]180-50=130[/tex]°

A line with a slope of

6 passes through the points (

6,

5) and (

7,c). What is the value of c?

Answers

Answer:

c=11

Step-by-step explanation:

We have two points ( 6,5) and (7,c) and a slope of 6

The slope formula is

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

6 = (c-5)/(7-6)

6 = (c-5)/1

6 = c-5

Add 5 to each side

6+5 = c-5+5

11 =c

What is the median of the following numbers?
1,2,4,6,4

Answers

Answer:

4

Step-by-step explanation:

Remember that when solving for the median, Order the numbers from least to greatest. The middle number in the set is your median:

1 , 2 , 4 , 4, 6

4 is your answer.

~

Here we are given with some numbers:

• 1, 2, 4, 6, 4

We have to find the median. For this, we have to arrange the data in ascending or descending order. So, let's arrange it in required order.

➝ 1, 2, 4, 4, 6

As the total no. of numbers is 5, the median will be the middle term that is 4. Because when the number of terms is odd, then median is n/2 and when the number of terms is even, the median is n/2 + n + 1/2 /2 th term.

Correct answer is 4.

Carry On Learning [tex]![/tex]

ALL THE WAYS THIS CAN BE NAMED DONT GUESS TY

Answers

Answer:

Step-by-step explanation:

∠A  - Angle can also be named by the vertex holding the angle.

∠TAR

∠RAT

simplified?


0.018 + (3.1 × 10^-3)

Answers

Answer:

the answer is easy.. I'm glad to help you out. it is 0.018+ 3.1 × 10^-3. just simply remove the bracket

Food cost for the last 5 months has been 600. What is the average amount spend?

Helppppppppp

Answers

Answer:

The average amount spent is $120

Step-by-step explanation:

To find the average, divide 600 by 5 to get 120.

Answer:

120

Step-by-step explanation:

How many distinct permutations can be formed using the letters of the word believable?

Answers

Answer:

✒️Answer:

No. of Permutations=3360.

Step-by-step explanation:

#CarryOnLearning

[tex]watch.some.anime[/tex]

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Let [tex] f \ : \ \mathbb{R}\to \mathbb{R} [/tex] be a continuous function which satisfies ,

[tex]\implies \sf f(x) = \displaystyle \int_0^x f(t) dt . [/tex]

Then the value of [tex] f(ln \ 5)[/tex] is ? ​

Answers

Answer:  5

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

Explanation:

According to the Fundamental Theorem of Calculus, we can say

[tex]\displaystyle f(x) = \int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = \frac{d}{dx}\int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = f(x)\\\\[/tex]

Then think about a function in which its derivative is itself. The first thing that should come to mind is the exponential function [tex]f(x) = e^x[/tex]. There aren't any other functions that fit the description. The proof of this is lengthy and involves ODE (ordinary differential equations), so I'm not sure how far along in your calculus class you are.

Anyways,

[tex]f(x) = e^x\\\\\\f(\ln(5)) = e^{\ln(5)}\\\\\\f(\ln(5)) = 5\\\\\\[/tex]

The exponential base 'e' cancels out with the natural log.

We are given with a function and a condition of the respective function too, consider the given what we have ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(t)\: dt}[/tex]

By using the variable changing property we can change the Integrand and it will yield ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(x)\: dx}[/tex]

Now , let assume that

[tex]{:\implies \quad \displaystyle \sf \int f(x)dx=F(x)}[/tex]

Now, differentiating both sides wr.t.x (using Newton - Leibnitz's rule for Differentiating a function under the integral sign)

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\bigg\{F(x)\bigg|_{0}^{x}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}-\dfrac{d}{dx}\{F(0)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=f(x)}[/tex]

So now, we have a function whose derivative is equal to the respective function, now if you differentiate both sides again you will get [tex]{\bf{f^{\prime \prime}(x)=f^{\prime}(x)}}[/tex] and similarly you can get [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] . And their is only one function which satisfies this condition for f(x) defined from [tex]{\mathbb{R}}[/tex] to [tex]{\mathbb{R}}[/tex] i.e the exponential function, you just can prove this fact easily by using the Maclaurin's series, so we now arrived on the conclusion that [tex]{\bf{f(x)=e^x}}[/tex] , so now [tex]{\bf{f\{ln(5)\}}}[/tex] will be [tex]{\bf{e^{ln(5)}}}[/tex] i.e hence on simplifying [tex]{\bf{f\{ln(5)\}=\boxed{\bf 5}}}[/tex]

This is the required answer

Note :- If you want to prove the fact that for [tex]{\bf f\: : \: \mathbb{R}\to \mathbb{R}}[/tex], such that [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] is [tex]{\bf{f(x)=e^x}}[/tex], you can prove it by using the Maclaurin's series, and if you want it's proof too, I will prefer you seeing once here ;

https://brainly.com/question/27031371

A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.

Answers

Answer:

$58.5

Step-by-step explanation:

Which of the following is equal to one million three hundred thousand?
A
1.3×106
B
1.3×109
C
1.03×106
D
1.03×109
THE FIRST TO ANSWER CORRECTLY GETS BRAINLIEST! NO LINKS!

Answers

Answer:

I think option D is the correct answer

It’s A, 1.3 • 10^6 equals 1,300,000

Find the surface area of the rectangular prism...

Answers

Answer:

the surface area is 52

Step-by-step explanation:

A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52

x • 1 + = _____.

can someone please help ?

Answers

Answer:

The answer is x

Step-by-step explanation:
When "x" has a dot next to it, it pretty much means you have to multiply x with the value of the number after the x · . Which means x · 1 + = x.

Answer:

I don't know if this correct I got X but your equation doesn't make sense

Step-by-step explanation:

State the period, midline, amplitude, and range of the given graph. (I got them wrong, I will mark brainliest!)

Answers

Answer:

Period:  [tex]\pi[/tex]

Midline:  y = -3

Amplitude:  4

Range:   [-7, 1]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]\pi[/tex]

Midline - center line

Range = -7 ≤ f(x) ≤ 1

[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]

⇒ Midline:  y = -3

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 1

center line:  y = -3

Therefore, amplitude = 1 - (-3) = 4

Range - the set of all values that the function takes

-7 ≤ f(x) ≤ 1  →  [-7, 1]

#Period

Find the distance between two peaks

It's π

#Midline

Range of the pitch (Peak to trough distance)

(-7,1)

Midline:-

[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]

Midline is y=-3

#Amplitude

Midline is y=-3Trough=y=-7

Distance:-

A=-3+7=4

#Range

The pitch

[-7,-1]

Write the following quotient in scientific notation:

Answers

Step-by-step explanation:

Let's start by simplifying our light terms.

[tex]q = \frac{33 \times 10 {}^{9} }{11 \times 10 {}^{7} } [/tex]

33 is divisible by 11 so i can simplify up and down by 11.

[tex]q = \frac{3 \times 10 {}^{9} }{1 \times 10 {}^{7} } [/tex]

Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;

[tex]q = \frac{3 \times 10 {}^{9 - 7} }{1 \times 10 {}^{7 - 7} } = \frac{3 \times 10 {}^{2} }{1 \times 10 {}^{0} } = \frac{3 \times 10 {}^{2} }{1 \times 1} [/tex]

[tex]q = 3 \times 10 {}^{2} [/tex]

And that is your scientific notation.

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