My question is in the picture below

The procedure for angle measurement by the protractor is mentioned below:

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

To measure an angle using a protractor, follow these steps:

1. Place the protractor on the angle you want to measure, with the base of the protractor aligned with one side of the angle.

2. Make sure the protractor is centered and level, with the zero-degree mark on the protractor aligned with the vertex (corner) of the angle.

3. Read the measurement of the angle from the protractor, where the second side of the angle intersects with the protractor scale. The measurement is usually given in degrees.

If the angle is larger than 180 degrees, you may need to use a full-circle protractor or measure the angle in two parts and add the measurements together.

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Answer:

See below

Step-by-step explanation:

My man, how did you even get these numbers??? no whole number multiplied by 6.65 even equals 22??? Regardless, here's what I did.

a) r = 40/2 = 20

A = πr^2 = (3.14)(20)^2 = 1256

b) 1256/50 = 25.12 basically, 26

c) 26 x 6.65 = 172.9

Thoughts and prayers my guy. Keep trying

Answer:

A. 1256[tex]ft^{2}[/tex] B. 26 pounds C. $172.90

Step-by-step explanation:

PART A

1st find the radius of the area

radius = diameter / 2

r = 40/2

radius = 20ft

Area of circle = radius^2* pi

Area = 400 * 3.14

Area = 1256 [tex]ft.^{2}[/tex]

PART B

1256 / 50 = 25.12

Because we can only buy full pounds and we need the whole area to be reseeded, we round 25.12 to 26.

26 pounds of seeds will be needed to reseed the whole area.

PART C

Multiply the number of pounds of seeds needed to be bought by 6.65

26 x 6.65

$172.90 for the total cost of grass seeds

Answer:

The sum of the series is 260.

------------------------

Each term of given series is expressed as:

This is an arithmetic progression with 13 terms and the first and last terms are:

Use the sum of the first terms of AP formula:

Answer:

The sum of the series is 260.

Step-by-step explanation:

[tex]\displaystyle \sum^{13}_{n=1}(3n-1)[/tex]

The given sigma notation means:

As (3n - 1) is linear, the series is arithmetic.

The first term (n = 1) is:

The second term (n = 2) is:

The third term (n = 3) is:

… and the last term (n = 13) is:

Therefore, we need to find 2 + 5 + 8 + ... + 38.

Since we know that the first term, a, is 2, the last term, l, is 38, and the common difference, d, is 3, we can use the sum of the first n terms formula to calculate the sum of the series of the first 13 terms.

[tex]\begin{aligned}\text{Using:} \quad S_{n}&=\dfrac{1}{2}n(a+l)\\\\\implies S_{13}&=\dfrac{1}{2}(13)(2+38)\\\\&=\dfrac{1}{2}(13)(40)\\\\ &=\dfrac{520}{2}\\\\&=260\end{aligned}[/tex]

Therefore, the sum of the series is 260.

A physical quantity with both magnitude and direction is called a vector quantity.

A vector quantity is a physical quantity that has both magnitude and direction. One example of a vector quantity is velocity, which is defined as the rate of change of an object's position with respect to time. Velocity is a vector quantity because it has both a magnitude (speed) and a direction (the object's motion). For instance, if an object is moving with a speed of 20 meters per second to the north, its velocity would be 20 meters per second north. If the object's direction changes to east, its velocity would become 20 meters per second east. Therefore, velocity is a vector quantity because its value depends not only on the speed of the object but also on the direction in which it is moving.

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Complete Question

Write down a vector quantity and explain your response.

The percent of change from 9 points to 4 points is approximate -55.6%, indicating a decrease of 55.6%.

What is the Percent of change?

The percent of change is a measure that compares the difference between two values to the original, or initial, value. It is usually expressed as a percentage and indicates how much a value has increased or decreased from its initial value.

To find the percent of change from 9 points to 4 points, we need to first calculate the amount of change, which is the difference between the final value (4 points) and the initial value (9 points):

Amount of change = Final value - Initial value = 4 - 9 = -5

The negative sign indicates a decrease in value.

Next, we can calculate the percent of change using the formula:

Percent change = (Amount of change / Initial value) x 100%

Substituting the values we get:

Percent change = (-5 / 9) x 100% ≈ -55.6%

Hence, the percent of change from 9 points to 4 points is approximate -55.6%, indicating a decrease of 55.6%.

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The y-intercept of the line passing through the given points is -26 and the slope is -13/17

The y-intercept is the point where the graph intersects the y-axis.

Given that, the pair of coordinates of some points, we need to find the y-intercept,

To find the same, we will firstly find the equation of the line passing through these points,

We know that, the equation of a line passing through two points is given by,

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Considering the points, (34, -52) and (51, -65)

The equation will be,

y+52 = -65+52 / 51-34 (x-34)

y+52 = -13/17(x-34)

y+52 = -13x/17+26

y = -13x/17-26

Hence, the y-intercept of the line passing through the given points is -26.

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Answer: A = 5

Step-by-step explanation:

So, we are given a function, with a point: we can substitute (x,y) from the coordinate into x and f(x) in the function. (recall that f(x) is just a fancy way of saying y).

so:

[tex]-1 = \frac{2(0) + 5}{0 - A}[/tex]

[tex]-1 = \frac{5}{-A}[/tex], (we can drop the negative sign from both sides here)

[tex]\frac{5}{5} = \frac{5}{A}[/tex], (recall 1 = x/x where x is literally any number)

hence we can see that A = 5

Ask questions in the comments if this doesn't make sense :)

The length of each piece is 10 in and 8 in.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total length of the string = 18 in

One piece = x + 2

Another piece = x

Now,

Solve for x.

x + 2 + x = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

x = 8

Now,

One piece = 8 + 2 = 10 in

Another piece = 8 in

Thus,

The length of each piece is 10 in and 8 in.

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The required Length of the DC is 30.47 Units.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

We have;

In ΔABD, ∠BAD = 54° and in ΔBDC, ∠BCD = 28°.

Then, In ΔABD

Sin∅ = BD/20

Sin(54°) = BD/20

BD = 0.809(20)

BD = 16.18

in ΔBDC

tan(28°) = BD/DC

DC = BD/tan(28°)

DC = 16.18/0.531

DC = 30.47 Units.

Thus, required Length of the DC is 30.47 Units.

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Answer:

12

Step-by-step explanation:

First find the missing angle S

Three angles of a triangle add up to 180°

So m∠S + 81 + 42 = 180

m∠S + 123 = 180

m∠S = 180 - 123 = 57°

Using the law of sines which states that the ratio of each side to the opposite angle is the same for both sides we get

[tex]\dfrac{r}{\sin 42} = \dfrac{q}{\sin81} = \dfrac{15}{\sin 57}\\\\\sin 57 = 0.83867\\\\ \dfrac{15}{\sin 57}= \dfrac{15}{0.83867}\\\\= 17.88545\\\\[/tex]

Hence
[tex]\dfrac{r}{\sin 42} = 17.88545\\\\r = 17.88545 \times \sin 42\\\\r = 17.88545 \times 0.66913\\\\r = 11.9677\\\\r = 12 \textrm{ rounded to the nearest tenth}[/tex]

Answer:x intercept (2,0)

Yintercept (0,-10)

Step-by-step explanation:

y=mx+b b= y intercept

To find x you just solve

Y=5x-10

10=5x

2=x

The graph of the quadratic equation y = 6x² is an upward parabola with vertex (0,0) and axis of symmetry as y-axis.

What is a quadratic equation?

The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and  a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x). Where it equals zero is where the quadratic equation finds its solutions. They are also known as the equation's roots.

Assuming the question is to graph the quadratic function y = 6x².

The x-intercept can be found by substituting y = 0

0 = 6x²

x = 0

x-intercept = (0,0)

y-intercept can be found by substituting x=0

y = 6 * 0

y = 0

y-intercept = (0,0)

The given quadratic equation is the equation of an upward parabola with the vertex as (0,0).

The axis of symmetry is x = 0 i.e y-axis.

Hence the graph of the quadratic equation y = 6x² is an upward parabola with vertex (0,0) and axis of symmetry as y-axis.

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Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

      angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.

Hannah’s brother counted correctly it Hannah gave him & 8 pennies and 12 nickels.

The concept of an equation in algebra is a mathematical declaration that demonstrates the equality of two mathematical expressions. Declaration of equivalence between two expressions made up of numbers or variables

Finding the counted the money correctly , we obtain:

x= number of pennies

y = number of nickels.

x + y =20

so , x = 20-y

x+5y = 68

20-y +5y = 68

4y= 48 so y = 12 and x = 8.

8 pennies and 12 nickels

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The average of the three weighted points, A, B, and C, is (-1, 2.875).

A technique known as a weighted average accounts for the varied levels of significance of the values in a data collection. Each number in the data set is multiplied by a predefined weight before the final computation is completed when calculating a weighted average.

weighted average = (w1 × x1 + w2 × x2 + w3 × x3) / (w1 + w2 + w3),

where wi is the weight of the ith point, and xi is the coordinate of the ith point.

Substituting the given values, we get:

weighted average = (1 × (-8, 5) + 3 × (8, 2) + 4 × (5, 4)) / (1 + 3 + 4)

= (-8, 5 + 3 × 2 + 4 × 4) / 8

= (-8, 23) / 8

= (-1, 2.875)

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Answer: the enswer is c the range is 46

Step-by-step explanation:

Answer:

where’s the options??

Step-by-step explanation:

The value of JI in the given triangle is 11.

A triangle is a polygon with three sides, vertices and angles.

Given that, in a triangle DEF, J is the intersection of the three medians.

EI = 33, we are asked to find the value of JI,

Since, all the median is intersecting at J, therefore, J is the centroid.

We know that, the centroid divides each median into two parts, which are always in the ratio 2:1.

Therefore,

Let, EI = 3x,

JI = x,

Therefore, JI = 11

Hence, the value of JI in the given triangle is 11.

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The complete question is :

In Δ DEF, J is the intersection of the three medians. If EI = 33, find JI.

Figure is attached

Answer:

Step-by-step explanation:

The Rational Zeroes Theorem states that if a polynomial equation has a rational solution (a solution that can be expressed as a fraction of two integers), then that rational solution must be of the form p/q, where p is a factor of the constant term (in this case 36) and q is a factor of the leading coefficient (in this case 4).

Step 1: Find the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step 2: For each factor of 36, divide it by each factor of 4 to get a list of possible rational solutions.

Step 3: Test each of the possible rational solutions by plugging them into the polynomial equation and seeing if they make the equation equal to zero. If a solution makes the equation equal to zero, it is a root of the polynomial.

Step 4: Once you have found all of the roots of the polynomial, you can use them to write the polynomial in factored form.

Note: This method only works for polynomials with real coefficients and will only give you the real solutions of the equation. If the polynomial has complex solutions, you will need to use a different method to find them.

Step-by-step explanation:

To plot the integer -7 on the number line, we can place it to the left of 0. The number line would look like this:

-10 -8 -7 -6 -4 -2 0 2 4 6 8 10

The distance between 0 and -7 is 7 units, since 0 is 7 units to the right of -7.

The absolute value of -7 is 7, since the absolute value of a number is its distance from 0 on the number line.

The magnitude of -7 is also 7, which is the same as its absolute value. The magnitude of a number refers to its size or absolute value, regardless of its sign. In this case, the magnitude of -7 is 7.

The set builder notation is A = { 9x | x ∈ N } which is a set of all x’s containing multiples of 9

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the set be represented as A

Now , the value of A is

A = { 9 , 18 , 27 , 36 , ... }

The set A contains all the positive multiples of 9

So , let x be the set of natural numbers and the value of A is

A =  { 9x | x ∈ N } , and

A = set of all x’s containing multiples of 9

Hence , the set builder notation is { 9x | x ∈ N }

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The vertical asymptotes of y = 6tan(0.2x) is [tex]\:x=\frac{\pi }{0.4}+\frac{\pi }{0.2}n[/tex]

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

y = 6tan(0.2x)

The equation is a trigonometry function

The best way to determine the vertical asymptotes is with the use of a graphing tool

Using the above as a guide, we have the following:

From the graphing tool, we have

[tex]\:x=\frac{5\pi }{2}+\frac{\pi }{0.2}n[/tex]

This gives

[tex]\:x=\frac{\pi }{0.4}+\frac{\pi }{0.2}n[/tex]

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By proving the two triangles as similar triangles , the value of x in the triangles is x = 5 cm .

By using the proportions, for the two triangles which are similar because they contain three equal angles ;

The One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and

the third angle one has to be same because of the sum of the three internal angles of a triangle must equal 180 degrees.

So , the proportions of the sides are written as :

⇒ 4/32 = x/40  ;

Cross multiplying , and solving for "x" ,

we get ;

⇒ x = (4 × 40)/32 ;

⇒ x = 5 .

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The given question is incomplete , the complete question is

What is the value of x in the polygon given below ?

The next term in the sequence of number 8, 4, 2, 1, 1/2 is 1/4

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

The sequence of number 8, 4, 2, 1 -1/2

Express properly

The sequence of number 8, 4, 2, 1, 1/2

The above definitions imply that we simply divide the previous term by 2 to get the current term

Using the above as a guide,

Next term = (1/2)/2

Evaluate

Next term = 1/4

Hence, the next term is 1/4

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The equations used are:

Longest side = a

Shortest side = 1/2 x a = 1/2a

Third side = a - 1

The shortest side is 8 inches, the longest side is 16 inches and the third side is 15 inches.

The perimeter of a triangle is the sum of the length of the three sides of the triangle.

Let the following expressions represent the lengths of the sides of the triangle:

Longest side = a

Shortest side = 1/2 x a = 1/2a

Third side = a - 1

Perimeter = a + 1/2a + a - 1 = 39

a + 1/2a + a = 39 + 1

2a + 1/2a = 40

2 1/2a = 40

5/2a = 40

a = 40 x 2/5

a = 16 inches

Shortest side = 1/2 x 16 = 8 inches

Third side = 16 - 1 = 15 inches

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Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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The function operation (f/g)(x) in the functions f(x) = √( x² - 1 ) and g(x) = √( x - 1 ) is √( x + 1).

A function is simply a relationship that maps one input to one output.

Given the functions in the question;

To evaluate (f/g), replace the function designators in f/g with the actual functions.

(f/g)(x) = f(x) / g(x)

(f/g)(x) = ( √( x² - 1 ) ) / ( √( x - 1 ) )

Now, rewrite 1 as 1²

(f/g)(x) = ( √( x² - 1² ) ) / ( √( x - 1 ) )

Factor using difference of square

(f/g)(x) = ( √( (x - 1)(x + 1 ) ) / ( √( x - 1 ) )

Combine into a single radical

(f/g)(x) = √( ( (x - 1)(x + 1) ) / ( x - 1 ) )

Now, cancel out the common factors (x-1)

(f/g)(x) = √(  (x + 1) / 1 )

(f/g)(x) = √( x + 1)

Therefore, the function operation (f/g)(x) is √( x + 1).

Option A) √( x + 1) is the correct answer.

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So here we have a hole in a steel plate with a diameter of 1.166 cm. So we need to find the temperature at what temperature is the diameter of full equal to 1.165 cm. So you're given is D. I. That is equal to initial diameter. That is equal to 1.166 cm. and temporary Germany shirt temperature is equal to 23°C and DF is equal to 1.165 m. This is the final diameter. So you only need to find the value of P. F. So we know that whole diameter very nice linearly with And nature. So here we can say DFS equal to D. I multiplied by one plus alpha. They're dirty. Yeah, I'll find that coefficient of thermal expansion. So here we can say it this is for steel And the value of alpha is equal to 13, multiplied by 10, raised to -6. So D F. Is equal to B. I multiplied plus the I'm multiplied by alpha, multiplied by delta T. So here we can see it D F minus D. I. That is the initial final diameter minus initial diameter divided by D. I. Alpha. That is equal to delta P. So this will be where to tell 30. That is equal to -6.59717. multiplied by 10° to -5 divided by And there's do -6. So here the key Is equal to -65.9717 degree. So here P f minus T I is equal to minus 65.9717 degree. The T.F will be equal to 23 -65.9717. So therefore final temperature that this T.F is equal to -42.8717 degrees Celsius. So therefore this is the answer to the question. So here we can say hands, final temperature Is equal to -42.8717°C.

The solutions to the quadratic equation 25 = (x + 9)² are x = -4 and x = -14.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree 2, which means that the highest power of the variable in the equation is 2. The general form of a quadratic equation is:

ax^2 + bx + c = 0

where x is the variable, and a, b, and c are constants, with a not equal to 0. The quadratic equation can have two solutions, one solution, or no real solutions, depending on the values of a, b, and c.

Starting with the given equation:

25 = (x + 9)²

We can start by taking the square root of both sides of the equation, which gives us:

±5 = x + 9

Next, we can isolate x by subtracting 9 from both sides of the equation:

x = -9 ± 5

This gives us two solutions:

x = -9 + 5 = -4

or

x = -9 - 5 = -14

Therefore, the solutions to the quadratic equation 25 = (x + 9)² are x = -4 and x = -14.

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