which is >greater =equal or <less than??
√7__3​

The area remaining in shaded region is  14.25 cm².

Half of such a circle is a semicircle. It is a 2D reconstructed by dividing a circle into two equal portions.

For, the given question;

The formula for the area of the triangle area is given:

A = 1/2bh

b is the base and h is the height.

Here base is diameter; b = 10 cm and height is radius; h = 5 cm.

Put the values;

Triangle's area = (1/2)(10 cm)(5 cm)

                         = (5 cm)²

                         = 25 cm².

The semicircle is found as half the area of a circle given with radius 5 cm.

Semicircle's area = (1/2)π(5 cm)²

                             = 12.5π cm²

                             ≈ 39.25 cm²

The shaded region is given as the difference between area of triangle and semicircle:

Shaded area = 39.25 cm² - 25 cm²

Shaded area = 14.25 cm²

Thus, the area of the shaded region is found as 14.25 cm².

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Answer:

The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.

Step-by-step explanation:

Answer:

1 coin is left

Step-by-step explanation:

5 coins + 4 coins = 9 coins - 8 coins = 1 coin so 1 coin is your answer.

Answer:

1

Step-by-step explanation:

5+4=9
9-8 = 1
Therefore, there is 1 coin in the jar.

Answer:

x = sqrt(39)

Step-by-step explanation:

Let y = common side of the two triangles.

Upper right triangle:

6^2 + y^2 = 10^2

y^2 = 100 - 36

y^2 = 64

y = 8

Lower left triangle:

5^2 + x^2 = 8^2

x^2 = 64 - 25

x^2 = 39

x = sqrt(39)

Step-by-step explanation:

2(x+3)=20(as it says twice the number and three

Answer:

79.2° (First Option)

Step-by-step explanation:

To find mAB, recognize that the percents given for the pie chart can represent the percent area of the sector of the circle, the percent measure of the central angle that forms the sector, or the percent measure of the length of the arc.

The measure of an arc is equal to the measure of the central angle between the radii that form its endpoints. So, mAB=m∠AOB.

The measure of the central angle AOB that forms AB is 22 percent of the whole circle, or (0.22)360∘. So, mAB=0.22(360∘)=79.2∘

Therefore, the measure of arc AB

is 79.2∘.

The measure of the arc AB of a circle showing the different vitamins present in a health drink is 79.2 degrees.

The measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

As the measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

Thus \(m\angle{AOB}=\widehat{AB}\).

First, find the measure of angle AOB.

Since the measure of angle AOB shows 22% of vitamins of the whole circle.

This means that the measure of angle AOB is 22% of 360 degrees.

Then we will get

\(m\angle{AOB}=\dfrac{22}{100}\times 360^{\circ}\\m\angle{AOB}=79.2^{\circ}\)

Here the measure of angle AOB  is 79.2 degrees.

And since \(m\angle{AOB}=\widehat{AB}\).

Therefore the measure of arc AB is 79.2 degrees.

That means option A \(79.2^{\circ}\) is correct option.

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Answer:

15x - 12

Step-by-step explanation:

3(5x-4)

We can find an equivalent expression by distributing the 3 to what's inside of the parenthesis (5x and -4)

3(5x-4)

* Distribute *

3 * 5x = 15x

3 * -4 = -12

An equivalent expression would be 15x -12

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The step 1 is x² + 6x + 8 + 1 = 1, step 2 is x² + 6x + 9 = 1, and step 3 is (x + 3)² = 1. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be two.

The equation is given below.

x² + 6x + 8 = 0

Convert the standard equation ax² + bx + c = 0 into the form of (x – p)² = q equation.

First, take the coefficient of x, and divide the number by 2.

⇒ 6/2

⇒ 3

Then square the resultant number will be

⇒ 3²

⇒ 9

And add both sides of the equation.

x² + 6x + 9 + 8 = 9

Simplify the equation, then the equation will be

x² + 6x + 9 = 9 – 8

x² + 6x + 9 = 1

We know that the formula of (a ± b)² = a² + b² ± 2ab, then the equation will be

x² + 2 · 3 · x + 9 = 1

             (x + 3)² = 1

Then the step 1 is x² + 6x + 8 + 1 = 1, step 2 is x² + 6x + 9 = 1, and step 3 is (x + 3)² = 1.

Then the correct option is B.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)

6 to the 3rd power ÷ 4 + 2 ×9(256-68)

6 to the 3rd power ÷ 4 + 2 ×9×188

216 ÷ 4 + 2 × 1692

216 ÷ 4 + 3384

54 + 3384

=3438

F, R and S represents the valid functions for the given data set.

" A function is defined as for the given relation of variables for each input value there should be one and only output."

According to the question,

For the following data set,

F = { (-4 ,-1), (2,3), (4,6), (8, 7) , (11, 13)}

For each input value there is unique output value .

Therefore, F is a function.

R = { (-3,-1) , (3,2), (4,5), (8, 7) , (10, 16)}

For each input value there is unique output value .

Therefore, R is a function.

S = { (-3,-2) , (3,1), (4,6), (-3, -2) , (13, 11)}

For each input value there is unique output value .

Therefore, S is a function.

G = { (-1,-5) , (1,2), (1,5), (9, 8) , (15, 16)}

For input value 1 there are two output values 2 and 5.

Therefore, G is not a function.

Hence we conclude F, R and S are functions for the given data set.

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Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤  40

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A rental car company charges $22 per day to rent a car and $0.08 for every mile driven

The maximum amount to spend = $80

Fixed charge per day $22

Charge per mile = $0.08

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤  80

22x + 0.08× 450 ≤ 80

22x + 36 ≤  80

Divided by 2 both sides of an inequality,

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

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Answer:

The  measure of each angle is:

48° y 42°

Step-by-step explanation:

Complemenary angles sum 90°

then:

a + b = 90°

a = b - 6

∴

(b-6) + b = 90

2b - 6 = 90

2b = 90+6

2b = 96

2b = 96

b = 96/2

b = 48°

a = b-6

a = 48 - 6

a = 42°

Check:

42° + 48° = 90°

Answer:

Step-by-step explanation:

Write the equation that describes the line with slope = 2 and y-intercept = in slope-intercept form. 312. Jy = 2x+. D.) x = 2y+ 2/2. 14x ...

Answer:

a.

Step-by-step explanation:

y = 2/3 x + 7

3 * y = 3 * (2/3 x + 7)

3y = 2x + 21

2x - 3y = -21

-2x + 3y = 21

Answer: a.

Here, we want to select the inequality that best represents the situation

Let the number of weeks be x

Total value saved in x weeks at $35 per week will be 35 * x = 35x

Adding this to what she had initially, the total expression becomes 35x + 45

This sum must be the same or greater than what she plans to save

The inequality is thus;

The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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a: The centripetal acceleration of the child = 1.60 m/s².

b: The net horizontal force exerted on the child = 40N.

The parameters provided;

Part a: The child's centripetal acceleration is calculated as follows:

a = v²/r

Put the values;

a = 1.65²/1.7

a = 1.60 m/s²

Thus, the child's centripetal acceleration is 1.60 m/s².

Part b: The child's net horizontal force is calculated as follows:

F = ma

F = 25×1.60

F = 40 N

Thus, child's net horizontal force is 40 N.

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The complete question is-

A child sitting 1.70 m from the center of a merry-go-round moves with a speed of 1.65 m/s.

a. Calculate the centripetal acceleration of the child

b. Calculate the net horizontal force exerted on the child

Mass of child = 25 kg.

The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

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Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

Option 2

Step-by-step explanation:

Coordinates of point on a graph is given by (x, y).

Where x = distance of the point from origin on x-axis.

           y = distance of the point on y-axis.

Therefore, coordinates of points given on graph will be,

F (2, 5)

G (6, 9)

H (7, 2)

Option (2) will be the correct option.

Answer:

x + 2 < 13

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

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Answer:

pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.

Step-by-step explanation: