A 12 cm x 2 cm rectangle sits inside a circle with radius of 8 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Option A: 21 pairs is the right answer

Step-by-step explanation:

Given

total strength of cycling team = 7

Captains to be selected = 2

As the order of selection doesn't matter, the combinations will be used to get the number of ways the pair can be chosen

Combination is solved as:

[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]

Here

n=7

r = 2

[tex]C(7,2) = \frac{7!}{2!(7-2)!}\\C(7,2) = \frac{7!}{2!*5!}\\=21\ pairs[/tex]

Hence,

Option A: 21 pairs is the right answer

Keywords: Combination

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Answer:

3.1622776 OR √ 10

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

√ 10

Decimal Form:

3.16227766

3.1622776

Step-by-step explanation:

[tex]\sqrt{10}-\text{it's an irrational number}\\\\\text{You can only have an approximation}\ \sqrt{10}\approx3.1623[/tex]

Answer:

B and E repeat infinitely.

Step-by-step explanation:

A) 6/4  = 1.5 (ends)

B) 4/11  ≈ 0.36363636...  (repeats 36 forever)

C) 9/8  = 1.125 (ends)

D) 5/7  ≈ 0.7143  (does not repeat)

E) 8/9  ≈ 0.88888888...  (repeats 8 forever)

F) 7/8 = 0.875  (ends)

Answer:

I'm pretty sure this is undefined. It's either it does or does not equal to 200..

Step-by-step explanation:

n/a

Answer:

Step-by-step explanation:

96:24

96 divide by 24 = 4

so it would be 4 cars to 1 truck

so 4:1

Answer:

4:1                                                                                                               Explanation: because of how when you divide the two its 4 and there's one truck left

Answer:

The answer is 41/4.

Step-by-step explanation:

Given:

-41/4 to get the additive inverse.

Now, the additive inverse of any number is a number that, when added to the number the result is zero.

Here, 41/4 is the additive inverse.

Because when it is added to -41/4 the result is 0.

Therefore, the answer is 41/4.

Answer:

2^6

Step-by-step explanation:

2 is being multiplied 6 times meaning it would be 2 to the 6th power.

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Answer:

B

Step-by-step explanation:

Each box of cookies is $3 since 4 x 3 =12, 6 x 3 = 18, and 9 x 3 = 27. So we want to multiply the number of boxes, b, by 3 to get the cost, c. The correct equation is c = 3b.

An equation that models this situation is c = 3b. The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given the data is,

b     c

4     12

6     16

9     27

c = kb

12 = k x 4

k = 12 / 4 = 3

c = 3b

Therefore, the equation that models this situation is c = 3b. The correct option is B.

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About 2% chance.

There are ten numbers and you want to choose a number less than three. There are only two numbers less than three; 1 & 2. Because there are only 2 numbers less than three and 10 to choose from, it becomes a 2% chance.

Answer: 20%

Step-by-step explanation:

Answer:

slope = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

Answer:

p = (200 -5s)/11

Step-by-step explanation:

I think you meant p is the price of piranhas, and a is the price of one shark.

You have:

11p + 5s = 200

11p = 200 - 5s

p = (200-5s)/11

Does that help? ;)

Answer:

the value of x is (-2) and y is (-5)

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Amount spent on certification = $200

Base salary = $50

Payment per class = $3

Let, x be the number of classes.

J(x) = 50+3x  

He needs to earn $200 dollars in first month, therefore,

50+3x=200

[tex]3x=200-50\\3x=150[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{150}{3}\\x=50[/tex]

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Keywords: function, linear equation

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Answer:

for #4 x=-7

Step-by-step explanation:

a negative times a negative is a positive and 8 times 7 = 56

The simplification of the equation when  x = -94 and y = 24 will be B: -70

Usually, simplification involves proceeding with the pending operations in the expression. Simplification usually involves making the expression simple and easy to use later.

We have been given an equation as x + y

We have to find the solution when  x = -94 and y = 24

Therefore, substitute the values;

x + y = (-94  +24)

Now Evaluate;

(-94  +24) = -70

Hence, the correct answer is B.

Therefore, The simplification of the equation when  x = -94 and y = 24 will be B: -70

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Answer:

Step-by-step explanation:

Following are the response to the given table:

Therefore, the final answer is "[tex]\bold{y=x+2 \ and \ 22}[/tex]".

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Answer:

Center (2,4) , radius=3, h=2 v=4 & r=3

Step-by-step explanation:

Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)

Now, in order to find the length of the radius, you need to do the following:

Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3

As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)

So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:

(x-2)^2 + (y-4)^2 = 9

The center is at (2, 4). The radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.

The required value can be found by counting the coordinates from the given graph.

A diagram is provided. We should observe the diagram, we can see that the center of the circle is at (2,4) on the graph.

We can also find that the radius of the circle is 3 units by counting the lines.

The center of the circle is denoted by (h, v) = (2, 4). The radius r is 3 units.

We have found the center and the radius. We can use this to make the standard equation of the circle.

The standard equation of a circle is given by:

(x - h)2 + (y - v)2 = r2

Now substitute the values h, v and, r:

(x - 2)² + (y - 4)² = 9

Therefore, we have found that the center is at (2, 4)and the radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.

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Answer: 10(x+2)

Step-by-step explanation:

Answer:

(x+2) + 10

Step-by-step explanation:

(x+2) is his current age, then you add the 10 years to get your answer.

Answer:

19 blocks

Step-by-step explanation:

To amanda's house, it is 5 blocks (we count 1 to 6 = 5 units)

From amanda's to Karen's, is 6 units (we count from -1 to 5 = 6 units)

Now, to find Karen to own place, we have to use the Pythaogrean Theorem. It is applicable for right triangle (which is shown, Amanda's place is the right angle).

The two distance we found are the two legs of the triangle and the other side (what we need to find) is the hypotenuse (which is the side opposite of right angle). The theorem says:

Leg^2 + Another Leg^2 = Hypotenuse^2

We know the 2 legs' length, so we can solve for hypotenuse (Karen to Own place Distance). Shown below:

[tex]5^2 + 6 ^ 2 \\=25+36\\=61[/tex]

So, we have:

Hypotenuse^2 = 61

Hypotenuse = Sqrt(61) = 7.81

Rounded to nearest block, that is 8 blocks

So, total distance traveled is:

5 + 6 + 8 = 19 blocks

it will surely look like an angle on a straight line. which adds up.to 180,so the answer is horizontal angle at 180degrees

Final answer:

The correct answer is A. Straight angle at 180°, describing the angle formed when a laptop screen is moved from a 90° position to lying flat against the desk.

Explanation:

The question asks about the angle formed when a laptop screen is opened from a right angle (90°) to lying flat against the desk, covering a full range from vertical to horizontal. This describes a straight angle, which measures 180°. Initially, the laptop screen at a 90° angle to the keyboard represents a right angle. Pushing the screen down to lie flat transitions this to a straight angle, where the angle between the keyboard and the back of the screen spans a flat, straight line. Therefore, the correct answer is A. Straight angle at 180°.

Answer:

5/63

Step-by-step explanation:

8/9(5/7)(1/8)=

8/9(5/7)=

40/63(1/8)=

5/63

by the way 8/9 x 5/7 x 1/8

is also the same as (8/9)(5/7)(1/8)

To find the product of 8/9, 5/7, and 1/8, multiply the numerators and denominators to get 40/504 and simplify it to 5/63.

To solve the multiplication of fractions, we need to multiply the numerators together and the denominators together. For the expression 8/9 times 5/7 times 1/8, we multiply the numerators 8, 5, and 1 to get 40, and the denominators 9, 7, and 8 to get 504. Simplifying the fraction 40/504 involves finding the greatest common divisor, which is 8 for both numerator and denominator, and dividing them by this number.

Doing so, we get 40 ÷ 8 = 5 and 504 ÷ 8 = 63. Hence, the solution simplified is 5/63.

Answer:

x = 4

Step-by-step explanation:

It is given that [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex], and we have to solve the given equation for x.

Now, we have [tex]\sqrt{(x - 3)} = \sqrt{x} + 3[/tex]

Squaring both sides we get  

[tex][\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}[/tex]

⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}

⇒ 6√x = - 12

⇒ √x = -2

Again squaring both sides we get  

⇒x = 4 (Answer)

Answer: 2

Step-by-step explanation:

Answer:

I am not sure but i think 2

[tex]\text{Hey there!}[/tex]

[tex]\text{The \bf{product}}\text{ of 8 and 12 is [blank]}[/tex]

[tex]\text{Whenever you see the word \bf{product}}\text{ in mathematics, it usually means}\\\text{multiply}[/tex]

[tex]\text{\bf{The PRODUCT of 8 and 12 is 96 because 8 times 12 equal 96}}[/tex]

[tex]\boxed{\boxed{\huge{\text{\bf{Answer: 96}}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Step-by-step explanation:

Hello!

Product means to multiply.

Which means it’s x added by itself y times.

For this problem it means 8 added by itself 12 times.

You can do:

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8, which equals 96.

Or, 8 x 12.

Which is 96.

It still represents 8 + 8, etc.

But your doing it faster.

Therefore, your Product is 96.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]8z\leq 16[/tex]

Solve for z

Divide by 8 both sides

[tex]z\leq 16/8[/tex]

[tex]z\leq 2[/tex]

The solution for z is the interval ----> (-∞,2]

All real numbers less than or equal to 2

In a number line the solution  is the shaded area at left of z=2 (closed circle)

using a graphing tool

see the attached figure

Answer:

The transformation used here is,

(x, y) → (-x , -y)

Step-by-step explanation:

Triangle ABC is rotated to create the image of triangle A'B'C'

Co-ordinates of A, B, C are,

A = (-1 , -1) ; B = (1 , -1) ; C = (0, -4)

Co-ordinates of A' ,B' , C' are,

A'= (1 , 1) ; B' = (-1 , 1) ; C' = (0, 4)

Hence, the transformation used here is,

(x, y) → (-x , -y)

Answer:

(x, y) → (–x, –y)

Step-by-step explanation:

Coordinates of triangle ABC:

A (-1, -1)

B (1, -1)

C (0, -4)

If we apply the transformation (x, y) → (–x, –y) we will get:

A (-1, -1) → (1, 1)   which correspond to point A'

B (1, -1) → (-1, 1)   which correspond to point B'

C (0, -4) → (0, 4)   which correspond to point C'

Answer:

x < 3

Step-by-step explanation:

We are given an equation of inequality of single variable x.

So, we have to solve the inequality and get the solution in terms of another inequality.

The given equation is 9 + 2x > 5x

⇒ 9 > 5x - 2x

⇒ 9 > 3x

⇒ 3x < 9 {Since if a > b then we can write b < a as they means the same.}

⇒ x < 3 (Answer)

{Dividing both sides of an inequality with a positive number need no change in inequality sign}

Answer:

a= 15

b=1/3

Step-by-step explanation:

15=a*(b)^0

15=a    

5=a*b

5=15*b       (  since, we have found that a=15 from the before steps)

5/15=b=1/3

a= 15

b=1/3.

Answer:

399.409

Step-by-step explanation:

Add both numbers to get your answer.

Answer:

The answer is

399. 409