Please answer the waiting with one of the choices in the image.

The required area of the circle with diameter 15.8 cm is 196.06 cm^2.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

To find the area of a circle, we use the formula: pi * (radius)^2. The diameter of the circle is given as 15.8 cm,

so the radius can be calculated by dividing the diameter by 2,

giving us a radius of 15.8 cm / 2

= 7.9 cm.

Plugging the radius into the formula, we get:

pi * (7.9 cm)^2

= 3.14 * 62.41.

Finally, rounding the answer to the nearest hundredth, we get: 62.41 * 3.14

= 196.06 cm^2.

Thus, requi9red answer is 196.06 cm^2.

To know more about Area visit:

brainly.com/question/13194650

#SPJ4

The value of q is -106 and the required equation is given by q=-106

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: The statement of an equation" 336 is 230 decreased by q"

230 is decreased by q is equivalent to 230 substracted by q and the number obtained by the above operation is equal to 336

Thus we have the equation as follows

230-q=336

q=230-336

q=-106

Hence, The value of q is -106 and the required equation is given by q=-106

Learn more about equations here:

https://brainly.com/question/545403

#SPJ1

Answer:

The complete system of inequalities to model this scenario is s ≥ 0, l ≥ 0, 8s + 12l ≤ 160, and s - l < 30.

Step-by-step explanation:

Answer:  8s + 12l ≤ 160.

Step-by-step explanation: I would explain.. but I figured maybe I'd spare you the struggle and give you the answer. If you NEED steps, DM me.

The value of the element t11 is 34 and the value of the element at d12 is 15.

Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.

M + W = Indoor= [26 55] Outdoor = [32 49]

The value indicates the sum of the indoor volunteers ages 18-39,\

34.

To create a matrix by subtracting the women's matrix from the mens matrix.

Now the difference;

M – W = Indoor = 8 15 Outdoor = -16 3

This value indicates the difference of the volunteers indoors 40 so

Therefore the value would be 15.

Study more about matrices on  https://brainly.com/question/11367104

#SPJ1

Answer:

SOH-CAH-TOA, the rest are just reciprocals of these

Step-by-step explanation:

sinY= o/h = 6/√61
cosY= a/h = 5/√61
tanY =o/a = 6/5
cosecY = h/o = √61/6
secY = h/a = √61/5
tanY = a/o = 5/6

Answer:

Step-by-step explanation:

Sin = 6/[tex]\sqrt{61][/tex]

Cos=5/[tex]\sqrt{61[/tex]

tan=6/5

cosec=    [tex]\sqrt{61\\[/tex]/6

sec=[tex]\sqrt{61\\[/tex]/5

cot= 5/6

The measures of the arcs MN in the circles are 105, 100, 106 and 66

Circle 1

From the question, we have the following equation that can be used in our computation:

MN = PQ

This means that

2MN + 85 + 65 = 360

So, we have

2MN = 210

Divide by 2

MN = 105

Circle 2

Here, we have

MN = 2MP

Also, we have

MP + MQ = 180

So, we have the following equation

1/2MN + 130 = 180

So, we have

MN = 100

Circle 3

Here, we have

PR = 74

So, we have the following equation

MN + 74 = 180

So, we have

MN = 106

Circle 4

Here, we have

PN = PM = 147

So, we have the following equation

MN + 2 * 147 = 360

So, we have

MN = 66

Hence, the measures of the arcs are 105, 100, 106 and 66

Read more about circles at

https://brainly.com/question/25871159

#SPJ1

In the polygon KLMN KL = 10, LM = 17, MN = 10, NK = 17 and

KL || MN, and LM || NK hence the polygon KLMN is a parallelogram.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

Given, A polygon in which KL || MN, and LM || NK and also from the given information opposite sides are of equal length.

We know in a parallelogram opposite sides are parallel and equal in length.

Now, If in this parallelogram all individual interior angles measures

90° then this parallelogram would be a rectangle.

learn more about parallelograms here :

https://brainly.com/question/29147156

#SPJ1

the ratio representing the above-described number are given as follows;

In mathematics, parity refers to whether an integer is even or odd. If an integer is a multiple of two, it is even; otherwise, it is odd. For instance, 4, 0, 82 are even because 3, 5, 7, and 21 are all odd numbers.

With regard to the above ratios:

1) Odd numbers to all numbers involved:

There are 10 odd numbers from 1 to 20 (1, 3, 5, 7, 9, 11, 13, 15, 17, 19). So, the ratio of odd numbers to all numbers involved is 10/20 = 1/2.

2) Numbers divisible by 5 to even numbers:

There are 4 numbers from 1 to 20 that are divisible by 5 (5, 10, 15, 20). Out of these 4 numbers, 2 are even (10, 20). So, the ratio of numbers divisible by 5 to even numbers is 4/2 = 2/5.

3) Numbers greater than 7 to numbers less than 12:

There are 4 numbers less than 12 (1 to 7) and 5 numbers greater than 7 (8 to 20). So, the ratio of numbers greater than 7 to numbers less than 12 is 5/4.

4) Even numbers greater than 5 but less than 17 to all numbers involved:

There are 6 even numbers greater than 5 but less than 17 (6, 8, 10, 12, 14, 16). So, the ratio of these even numbers to all numbers involved is 6/20 = 3/10 = 1/2 * 3/5 = 3/10.

Learn more about Ratios:
https://brainly.com/question/30065467
#SPJ1

The equation of the blue graph is option B. G(x) = (x - 4)² + 1.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

The given function is f(x) = x².

From the figure, we can see that the graph of f(x) is shifted left to 4 units.

Then the function becomes (x - 4)².

Then the function is shifted up to 1 unit.

The resulting function is G(x) = (x - 4)² + 1.

Hence the correct equation of the graph is G(x) = (x - 4)² + 1.

Learn more about Geometric Transformations here :

https://brainly.com/question/16156895

#SPJ1

Answer:

10

Step-by-step explanation:

2x - 7 = 13

+7. +7

2x = 20

20/2x = 10

The graph in option - B represents the correct alternative.

A function describes a relationship between a dependent and independent variable. Example -

y = f(x) = 5x + 9

Given is the function as -

f(x) = 12(1/3)ˣ

At {x = 0}, we get -

y = 12 x 1 = 12

The {y - intercept} would be at (0, 12).

It is a exponential function of the form -

y = A(B)ˣ.

Refer to the graph attached. We can conclude that option B is the correct graph.

Therefore, the graph in option - B represents the correct alternative.

To solve more questions on functions, visit the link below -

brainly.com/question/17613163

#SPJ1

Answer:

multiply 2, 7 times

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 2 x 2

= 128

Answer:

4/3

Step-by-step explanation:

to find slope just choose any two points on the line and subtract them. I prefer choosing points that lie on the grid for instance in #11

I will choose Point 1: (4,3) and Point 2: (1,-1) because the intersect the grid and I can do 'clean' subtractions.

Slope = rise/run

= change in y/change in x

= y2-y1/x2-x1

= ( -1 - 3 ) / ( 1 - 4 )

= - 4 / -3

= 4/3

The x intercept shown in the table are -2 and 2

The y intercept shown in the table is -4

The x-intercept of a graph is the point at which the graph crosses the x-axis, i.e., the y-coordinate of the point is 0. In other words, it's the solution to the equation y = 0.

The y-intercept of a graph is the point at which the graph crosses the y-axis, i.e., the x-coordinate of the point is 0. In other words, it's the solution to the equation x = 0.

In the table x- and y-intercepts are the values where the y values and x value are zero

x intercepts = -2 and 2

y intercepts = -4

Learn more about x and y intercepts at:

https://brainly.com/question/29461321

#SPJ1

Suppose a system of equations has 3 equations and 5 variables. additionally, suppose the coefficient matrix for the system has 3 pivot columns. Based on the information provided, it is consistent.

The number of pivot columns in the coefficient matrix of a system of equations determines the rank of the matrix, which is a measure of the number of linearly independent rows or columns. A system of equations is consistent if and only if the rank of the coefficient matrix is equal to the number of unknowns in the system.

In this case, the system has 3 equations and 5 variables, so it is not immediately clear if the rank of the coefficient matrix is equal to the number of unknowns. Additionally, the number of pivot columns alone is not enough to determine the consistency of the system, as there may be additional relationships between the variables that affect the rank.

So,  Based on the information provided, it is consistent.

To learn more about matrix click on,

https://brainly.com/question/28447495

#SPJ4

The number of possible seating arrangements depends on the conditions specified in the problem is 435,456,000

Permutation is the arrangement of objects in a specific order.

a. The mathematics majors occupy the first 6 seats:

The number of permutations of the mathematics majors is simply 6! (6 factorial), since they all have to sit together in a block. After the mathematics majors are seated, we have 12 chairs left for the chemistry and physics majors, who can be arranged in (5 + 7)! / (5! x 7!) ways.

Finally, the total number of permutations for the mathematics majors to occupy the first 6 seats is

=>  6! x (5 + 7)! / (5! x 7!).

=> 570240

b. The mathematics majors cannot occupy the first 6 seats:

In this case, the number of permutations of the mathematics majors is (18 - 6)! / (6! x (12 - 6)!). This is because they cannot occupy the first 6 seats and have to be arranged in the remaining 12 chairs.

Next, the number of permutations for the chemistry majors is (12 - 6)! / (5! x (12 - 6 - 5)!).

Finally, the number of permutations for the physics majors is (12 - 6 - 5)! / 7!.

The total number of permutations for this scenario is

=> (18 - 6)! / (6! x (12 - 6)!) x (12 - 6)! / (5! x (12 - 6 - 5)!) x (12 - 6 - 5)! / 7!.

=> 668250

c. Students with the same major sit in a block:

In this case, the number of permutations of the chemistry majors is simply 5! since they have to sit together in a block.

Similarly, the number of permutations of the mathematics majors is 6! and the number of permutations of the physics majors is 7!.

Finally, the total number of permutations for students with the same major to sit in a block is

=> 5! x 6! x 7!.

=> 435456000

To know more about permutation here.

https://brainly.com/question/1216161

#SPJ4

Since the mean number of book read per child is 1, the value of x is 4.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of books, we have;

Total number of book = 0(4) + 12(1) + 2(x)

Total number of book = 12 + 2x

Mean = (12 + 2x)/(16 + x)

1 = (12 + 2x)/(16 + x)

16 + x = 12 + 2x

2x - x = 16 - 12

x = 4.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Answer: The answer to this equation is 50.

Step-by-step explanation:

Evaluate the equation like this using PEMDAS.

2 x (1 + 4) ^2

2 x ( 5 ) ^ 2

2 x 25

 50

Hope this helps!

Answer:

5

Step-by-step explanation

32 -12 =20 divided by

4= 5

A)

Gracie has 130 stamps after 3 months.

B)

The point (2, 100) represents that the number of stamps after 2 months is 100.

Option C is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Coordinate grid labeled points (0, 40), (1, 70), (2, 100).

Each month Gracie adds 30 stamps to her collection.

So,

(3, 130)

Now,

A)

130 stamps after 3 months.

B)

(2, 100) represents that the number of stamps after 2 months is 100.

Thus,

130 stamps after 3 months.

(2, 100) represents that the number of stamps after 2 months is 100.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

There will be 130 stamps  Gracie have after 3 months,

and (2, 100) represents the number of stamps in the collection after 2 months is 100.

A coordinate grid has two perpendicular lines, or axes labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

Given Gracie's grandmother gave her 40 stamps.

Then, each month Gracie adds 30 stamps to her collection,

Coordinate grid labeled points (0, 40), (1, 70), (2, 100), and (3, ?)

A: since she adds 30 stamps each month,

stamps in 3rd month are 100 + 30 = 130.

130 stamps in 3rd month.

B: What does the point  (2, 100),

the graph is plotted between the number of stamps and months,

which gives the  change of stamp each month,

the coordinates (2, 100) say that Gracie has 100 stamps in 2 months.

so option B is correct.

Hence There will be 130 stamps  Gracie have after 3 months,

and The number of stamps Gracie added to her collection in 2 months is 100.

Learn more about coordinate grids;

https://brainly.com/question/29000992

#SPJ1

The mass of the vessel if it is made of metal of density 10 g/cm³ is 1993 g.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Volume of sphere = 4/3 πr³

Hence, For internal;

⇒ Volume of sphere = 4/3 πr³

⇒ Volume of sphere = 4/3 × 3.14 × (6)³

⇒ Volume of sphere = 904.32 cm³

For external;

⇒ Volume of sphere = 4/3 πr³

⇒ Volume of sphere = 4/3 × 3.14 × (6.4)³

⇒ Volume of sphere = 1097.5 cm³

Thus, Volume of sphere between sphere is,

⇒ 1097.5 - 904.32

⇒ 193.2 cm³

Here,  it is made of metal of density 10 g/cm³.

Hence, the mass of the vessel is,

⇒ 193.2 × 10

⇒ 1932 g

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

When the expression y² + 10 y + 33 is written as a combination of a square of a binomial expression and an integer, the value of the integer is 8

We are given an expression y² + 10 y + 33 and this expression can be written as a combination of a square of a binomial and an integer. we need to find the value of the integer.

                        = y² + 10 y + 33

Write 10 y = 2 (5) (y)

                        = y² + 2 (5) (y) + 33

Write 33 = 25 + 8

                        = y² + 2 (5) (y) + 25 + 8

Write 25 = 5²

                        = y² + 2 (5) (y) + 5² + 8

Write y² + 2 (5) (y) + 5² = (y + 5)²

                        = (y + 5)² + 8

So, here (y + 5)² is the square of the Binomial expression and 8 is the integer.

To know more about binomial expression here:

brainly.com/question/30097809

#SPJ4

Answer:

Multiply 1/4*3= 3/4. So a motorcycle can go 3/4 of a mile on 3 gallons of gas

Step-by-step explanation: Hope this helps!!, Mark me Brainliest, :)))

The graph represents this situation:

B) graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y= 30+ 10x

Now, take x= 0

y= 30

and, x= 1

y= 30+ 10

y= 40

and, x= 2

y= 30+ 20

y= 50

and, graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars.

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ1

Answer:

The third angle is 60

Step-by-step explanation:

The interior angle of a triangle is equal to the 180 minus the exterior angle.

[tex]180-80= 100[/tex]

So one of the interior angles is equal to 100

All of the interior angles of a triangle add up to 180

[tex]180=100+20+x[/tex]

[tex]x=60[/tex]

Answer: The hypotenuse are both 13 cm

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, in this case:

c^2 = a^2 + b^2

c^2 = 5^2 + 12^2

c^2 = 25 + 144

c^2 = 169

c = √169

c = 13

So the length of the hypotenuse is 13 cm.

Next, we can use the Pythagorean theorem to find the length of the segments into which the bisector of the right angle divides the hypotenuse. Let's call the length of the segments x. Then, the segments form two right triangles with legs of length x and (13-x)/2.

Using the Pythagorean theorem on each triangle, we have:

x^2 + ((13-x)/2)^2 = 13^2

x^2 + (13-x)^2/4 = 169

x^2 + (13^2 - 2x(13) + x^2)/4 = 169

x^2 + (13^2 - 2x(13))/4 = 169

x^2 + (169 - 26x)/4 = 169

x^2 + 169 - 26x = 676

x^2 - 26x + 507 = 0

Now, we can use the quadratic formula to find x:

x = (-b ± √(b^2 - 4ac)) / 2a

a = 1, b = -26, c = 507

x = (26 ± √(26^2 - 4 * 1 * 507)) / 2 * 1

x = (26 ± √(676)) / 2

x = (26 ± 26) / 2

x = 26 / 2

x = 13

So, the lengths of the segments into which the bisector of the right angle divides the hypotenuse are both 13 cm, to the nearest tenth.