A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
plz help

Answers

Answer 1

Answer:

121cm −25πcm ≈42.46cm

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.


Related Questions

Solve for x
4x + 8 = 6x – 1

Answers

Answer:

x = 9/2

Step-by-step explanation:

4x + 8 = 6x - 1

4x - 6x = - 1 - 8

-2x = -9

2x = 9

x = 9÷2

x = 9/2

-TheUnknownScientist

What is the least common multiple of 25, 10 and 30?

Answers

Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

Answers

Answer:

376.52 is the volume of the composite figure.

Step-by-step explanation:

Let's break this into two shapes.

A rectangular prism and a hemisphere

Volume Formula for rectangular prism: l • h • w

Volume Formula for hemisphere: (2/3)πr^3

l • h • w

10 • 4 • 8

40 • 8

320

Rectangular Prism: 320

(2/3)πr^3

2/3(3)^3

2/3(3.14)(27)

2.09333333333(27)

56.52

Hemisphere: 56.52

320 + 56.52 = 376.52

The volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

What is volume of hemisphere?

The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

What is volume of cuboid?

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

Volume of cuboid = Length × Width × Height

Given

Radius of hemisphere r = 3

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]

= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]

= 56.52 [tex]cm^{3}[/tex]

Volume of cuboid V2 = Length × Width × Height

= 10 × 8 × 4

= 320 [tex]cm^{3}[/tex]

The volume of the composite figure V = V1 + V2

V =  56.52 +  320

V = 376.52  [tex]cm^{3}[/tex]

Hence, the volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

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x + y = 4.25

16.90x + 4y = 36.35

Answers

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

how do you solve the problem 2x+3y=25,4x-y=15 for substitution

Answers

Answer:

X=5 Y=5

Step-by-step explanation:

James has $120 in his savings account and
plans to save $x each month for 6 months.
The expression $6x + $120 represents the
total amount in the account after 6 months.
Factor the expression 6x + 120.​

Answers

Answer:

6(x + 20)

Step-by-step explanation:

you need to divide both numbers by six.

I recommend downloading photomath for a more detailed explanation and for help with math in the future.

Find the equation of the line through (0,-2) and (4, 18).

Answers

Let me = slope

m = (18 - (-2))/(4 - 0)

m = 20/4

m = 5

We now plug slope 5 and one of the given points into the point-slope formula.

y - y_1 = m(x - x_1)

y - 18 = 5(x - 4)

y - 18 = 5x - 20

y = 5x - 20 + 18

y = 5x - 2

Done!

What is the slope of this line?



Enter your answer as a fraction in simplest term in the box

Answers

Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points given from the graph.

Point (0, 2)

Point (7, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-2}{7-0}[/tex]Subtract:                       [tex]m=\frac{0}{7}[/tex]Divide:                          [tex]m=0[/tex]

Any horizontal line will have a slope of 0.

And we have our final answer!

Evaluate the logarithm.
log9(1/81)
a. 2
b. -2

Answers

The answer is -2
Because 9=3^2
And 1/81 = 3^-4
So you can rewrite it and get
Log 3^2 (3^-4)
And to solve it use x/y
You will get -4/2=-2

The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.

Given that,

The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].

Used the formula of logarithmic functions that are,

[tex]log (m^n) = n log m[/tex]

And, [tex]log_a (a) = 1[/tex]

Now, simplify the given logarithmic functions by using the above formula,

[tex]log_9 ( \dfrac{1}{81} )[/tex]

[tex]log_9 ( 81 )^{-1}[/tex]

[tex]log_9 ( 9^2)^{-1}[/tex]

[tex]log_9 ( 9)^{2 \times -1}[/tex]

[tex]log_9 ( 9)^{-2}[/tex]

Apply the formula [tex]log (m^n) = n log m[/tex],

[tex]- 2 log _ 9 (9)[/tex]

Since, [tex]log_a (a) = 1[/tex]

Hence, it can be written as,

[tex]- 2 log _ 9 (9)[/tex]

[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]

Therefore, the solution is,

[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]

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How can you tell if an expression is a monomial , binomial or trinomial?

Answers

Answer:

Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.

I hope this helps!

Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.

What is the amount of tax for Akio's purchases?

Enter your answer in the box

Answers

Answer:

$0.76

Step-by-step explanation:

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.

Answer:

is o.76

Step-by-step explanation:

I took the quiz

what up dogs need help geting 3 more golden crowns to level up to be an expert level please can yall help me

Answers

Answer:

Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!

Step-by-step explanation:

Answer:

I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.

Step-by-step explanation:

Mind answering some stuff I have in the meantime?

Please help :( please

Answers

Answer:

1. $6.88

2. 16 oz box

3. 5 dollars if u were to buy the 11 pound I think

Step-by-step explanation:

1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88

2. cheaper for more

Hi can someone please help me with my math work?

Answers

Answer:

Integers are 7, 8, 9

Step-by-step explanation:

Let three positive consecutive integers are (n - 1), n, (n + 1)

If the product of the second and the third integer is 72,

n(n + 1) = 72

n² + n = 72

n² + n - 72 = 0

n² + 9n - 8n - 72 = 0

n(n + 9) - 8(n + 9) = 0

(n - 8)(n + 9) = 0

(n - 8) = 0 ⇒ n = 8

(n + 9) = 0 ⇒ n = -9

For n = 8,

Integers will be ⇒ 7, 8, 9

For n = -9,

Integers will be ⇒ -10, -9, -8

Since, all integers are positive,

7, 8, 9 will be the answer.

can someone help with explanation what is 2+√12/√27

Answers

Answer:

Step-by-step explanation:

Find the slope (-3,10) (-3,7)

Answers

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13). y=

Answers

Answer:

y= -[tex]\frac{3}{5}[/tex]x+16

Step-by-step explanation:

[tex]\frac{19-13}{-5-5}[/tex]

-[tex]\frac{6}{10}[/tex]

-[tex]\frac{3}{5}[/tex]=slope

13=-[tex]\frac{3}{5}[/tex](5)+C

13=-3+C

16=C=y intercept

Simplify.
√3(√6+√15)

Answers

Not sure if you need it without rounding or anything, but in its exact form, the answer is 3√2 + 3√5.

Explanation: You take √3 and carry it to √6 and √15. This means doing √3 times √6 and √3 times √15. Doing so gives you √18 + √45. Simplifying the roots would give you 3√2 + 3√5. How you get from √18 to 3√2 is that you make a factor tree of 18. Any factor that is the same will be added to the coefficient. In this case, 3 would have to be your coefficient. The factors of 18 are 2, 3, and 3. If there are two of the same factors, you put them together as one. (In this case, the two 3’s would become one 3.) How you get from √45 to 3√5 is doing the exact same process that happened from getting √18 to 3√2 except you would make a factor tree of 45. (The factors of 45 are 5, 3, and 3. Two 3’s make one 3.) Therefore, your answer in exact form would be 3√2 + 3√5.
I hope this helps. Sorry if I did not understand the question correctly.

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

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y= 3x + 2 and y= 3x -3. These lines are...​

parallel
perpendicular
neither

Answers

Neither. They are intersecting. (I put it in my graphing calculator).

The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the lines:

y = 3x + 2 and y = 3x - 3

The slope of the line:

y = 3x + 2

y = mx + c

m = 3

The slope of the line:

y = 3x - 3

y = MX + C

M = 3

m = M

The slopes of the line are the same.

Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

Learn more about the linear equation here:

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please help me answer it

Answers

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

Twice a number increased by 1 is -11. Find the number.​

Answers

-5 is the answer i think

Answer:

x=-6

Step-by-step explanation:

Twice mean multiply by 2

and twice a number is 2x (If you let x be the "number")

increase means adding by

increase by 1 is adding by 1

Is means =

is -11 is

=-11

now that we have all the things we add it up

Wice a number increased by 1 is -11:

2x+1=-11

Now you move the 1 to the other side by subtracting by 1 on both sides:

2x+1-1=-11-1

Simplify:

2x=-12

divide both sides by 2:

x=-6

Hope this helps!

Solve 2a² and 3b²-c³ if A=3 ,B=2 ,C=1​

Answers

Since we know a = 3, substitute this into the expression:

2a² = 2 x 3²

3² = 9

So 2a² = 2 x 9

2a² = 18



We know b = 2 and c = 1, so substitute these values into the expression:

3b² - c³ = 3 x 2² - 1³

2² = 4
1³ = 1

So:

3 x 4 - 1

Using the order of operations we multiply first:

3 x 4 = 12

Take off the 1:

Final answer:

3b² - c³ = 11

Please help me with this question.... please

Answers

No because in (4,6) and (4,7) each x must have ONE y. Here 4 is the x but it has two different y values, therefore it is not a function.

What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?

Answers

9514 1404 393

Answer:

  y = -3x +26

Step-by-step explanation:

We assume the given line is ...

  y = -3x +5

This is in slope-intercept form:

  y = mx +b

where m = -3 and b = 5.

The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...

  y = -3x +b

We can find the value of b using the given point:

  8 = -3(6) +b

  26 = b . . . . . . add 18

So, the equation of the parallel line through (6, 8) is ...

  y = -3x +26

2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)

Answers

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Million dollar bussyy jk help

Answers

Answer:

2. 2

3. 4

4. 3/4

5. 5/12

6. 6

7. 1/2

Can someone please help fr.​

Answers

Answer:

IM LOOKING FOR THE ANSWER TO LOL

Step-by-step explanation:

I need help on the first question please will mark brainiest

Answers

Answer:

D. [tex]2^{18}[/tex]

Step-by-step explanation:

The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 =  18

Now the expression looks like this: [tex]2^{18}[/tex] *   [tex]2^{0}[/tex]

Any number to the power of zero is 1.

So the equation now looks like this:  [tex]2^{18}[/tex] * 1

After you multiply the two terms, you end up with  [tex]2^{18}[/tex].

Answer:

The answer is D 2^18

Step-by-step explanation:

Alright I know what your all thinking the answer is 2, but it says I’m wrong. Am I doing something wrong?

Answers

Answer:

3.75

Step-by-step explanation:

Follow PEMDAS

P = parentheses so first it will turn to 30 divided by 3 times 5

E = exponents we dont have any

M = multiplication 30 divided by 8

D = division = 3.75

a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please

Answers

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let [tex]P_1[/tex] be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]

Putting x = 20 in 2nd perimeter

[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

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