Show exact steps to solve and show the image!Don't mind the pink writing

Show Exact Steps To Solve And Show The Image!Don't Mind The Pink Writing

Answers

Answer 1

1)To construct the line parallel to given line passing through given point, first take a point on the line.

2)Here in the problem that point is Q.

3)Join PQ.

4)After joining PQ, copy the angle made by PQ by constructing the arc MN with steel point of compass on Q. Keep same disttance and get arc M'N' by keeping steel point on P. Then measure length MN on the angle PQR and cut arc by placing steel point on M' and cutting the arc to get point N'.

5) Join PN' and extend till point S.

6) PS is parallel to QR.

Show Exact Steps To Solve And Show The Image!Don't Mind The Pink Writing

Related Questions

Slope The first two sets of points are 9,-24 and 13,-21

Answers

We need to find the slope using the points (9, -24) and (13 , -21)

so, the slope = 3/4

a sociology Professor assigns letter grades on a test according to the following scheme Scores on the test are normally distributed with the meaning of 67.2 and a standard deviation of 8.5Find the minimum score required for an a grade. Round your answer to the nearest whole number if necessary

Answers

In order to have grade A, the score needs to be in the top 9%.

Since the scores are normally distributed, the top 9% scores correspond to 91% of the area under the normal curve. That means we need to find a value of z in the z-table that corresponds to the value 0.91 (that is, 91%).

Looking at the z-table, the value of z for a probability of 0.91 is z = 1.34.

Now, to find the score that this value of z represents, we can use the formula below:

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma}\\ \\ 1.34=\frac{x-67.2}{8.5}\\ \\ x-67.2=11.39\\ \\ x=11.39+67.2\\ \\ x=78.59 \end{gathered}[/tex]

Rounding to the nearest whole number, the minimum score for grade A is 79.

For triangle ABC, AB = 3 cm and BC = 5 cm.Which could be the measure of AC?A 2 cmB 4 cmC 8 cmD 15 cm

Answers

ANSWER

2, 4 and 8

EXPLANATION

We have that in a triangle ABC, AB = 3 cm and BC = 5 cm.

To find the possible length of AC, we can apply the triangle inequality theorem.

It states that in any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

This means that:

[tex]\begin{gathered} AB\text{ + AC }\ge\text{ BC} \\ \text{and } \\ AB\text{ + BC }\ge\text{ AC} \\ \text{and} \\ AC\text{ + BC }\ge\text{ AB} \end{gathered}[/tex]

So, we have that:

[tex]\begin{gathered} 3\text{ + AC }\ge\text{ 5 }\Rightarrow\text{ AC }\ge\text{ 2} \\ 3\text{ + 5 }\ge\text{ AC }\Rightarrow\text{ AC }\leq\text{ 8} \\ AC\text{ + 5 }\ge3\Rightarrow\text{ AC }\ge\text{ -2} \end{gathered}[/tex]

We have to disregard the third line, since the length of a triangle side can only be positive.

So, using the first 2 lines, we see that:

[tex]2\text{ }\leq\text{ AC }\leq\text{ 8}[/tex]

This means that from the options, the measure of AC can either be 2, 4 or 8.

To the right is the graph of f(x) = x^2. The second graph, to the left of f(x) = x^2 is a new function made by stretching f(x) vertically by a factor of 2 and then translating it three units to the left and one unit down. Write the equation of the new function.

Answers

This problem invloves the topic of curved lines in a graph, curved lines or more speccifically curve line which looks like letter C (parabola) all follows a certain standard form of equation, which is;

[tex]y=ax^2+b[/tex]

For example you can see that the equation for the black curve line in our picture is y=x² and notice that this equation can also be written as y = (1)x² + 0. Which simillar to the standard form given above where a is just 1 (a=1) and b is just 0 (b=0).

Since our black curve line follows the same standard form of equation as stated above, we can conclude that the RED curve line follows the same form of equation.

To summarize the steps that we must do in order to find the equation of the RED line we will list them as,

1. Sample two(2) points in the graph to be used as reference points.

2. Use the sampled points in our standar eqation in order to find the variables "a" and "b".

3. When we have the variables "a" and "b", we can just directly substitute it into our standard equation to find the equation of our RED line.

Let's start.

1. Sample 2 points to be used as refernce points. (Note that we will find the easiest points

to determine)

Let us use the points (-3, -1) and (-2, 1) as shown in the picture.

2. Use the points (-3, -1) and (-2, 1) in our standard equation.

[tex]\begin{gathered} y=ax^2+b \\ \text{where (x,y)=(-3, -1)} \\ -1=a(-3)^2+b_{} \\ 9a+b=-1 \end{gathered}[/tex]

for our 1st point we have the equation 9a+b = -1, let us now proceed to our next point.

[tex]\begin{gathered} y=ax^2+b \\ \text{where (x,y)=(-2, 1)} \\ 1=a(-2)^2+b_{}_{} \\ 1=4a+b \\ 4a+b=1 \end{gathered}[/tex]

and for our 2nd point we have the equation 4a+b = 1, and by the process of subtitution and elimination we can now find "a" and "b", because we have two equations with two unknowns.

[tex]\begin{gathered} 9a+b=-1\text{ and} \\ 4a+b=1 \end{gathered}[/tex]

transforming eqatuin number 1 to

[tex]9a+b=-1\text{ is just the same as b = -1 -9a}[/tex]

then substitue b = -1 -9a to the 2nd equation we have.

[tex]\begin{gathered} 4a+b=1\text{ , where b = -1-9a} \\ 4a+(-1-9a)=1 \\ 4a-1-9a=1 \\ -5a=2 \\ a=-\frac{2}{5} \end{gathered}[/tex]

since a = -2/5, we can find b using,

[tex]\begin{gathered} 4a+b=1\text{ , where a=-}\frac{2}{5} \\ 4(-\frac{2}{5})+b=1 \\ b=1+\frac{8}{5} \\ b=\frac{5}{5}+\frac{8}{5} \\ b=\frac{13}{5} \end{gathered}[/tex]

therefore our a and b are;

[tex]a=-\frac{2}{5}\text{ and b = }\frac{13}{5}[/tex]

3. We can now proceed in substituting it in our standard equation;

[tex]\begin{gathered} y=ax^2+b\text{ , where a = -}\frac{2}{5}\text{ and b = }\frac{13}{5} \\ y=(-\frac{2}{5})x^2+(\frac{13}{5}) \\ y=-\frac{2}{5}x^2+\frac{13}{5} \end{gathered}[/tex]

you can also simplify the final equation by multiplying all sides by 5,

[tex]\begin{gathered} 5y=(5)\lbrack-\frac{2}{5}x^2+\frac{13}{5}\rbrack \\ 5y=-2x^2+13 \end{gathered}[/tex]

therefore our final answer can be,

[tex]\begin{gathered} f(x)=-\frac{2}{5}x^2+\frac{13}{5} \\ or \\ 5y=-2x^2+13 \end{gathered}[/tex]

Look at this set of ordered pairs: (-8, 19) (11, 1) (0, 15. Is this relation a function?

Answers

Answer:

Yes, the set of ordered pairs is a function.

Explanation:

To test whether a given set of ordered pairs represents a function, we have to make sure that it satisfies the definition.

By definition, a function cannot have two outputs for one input. For example, the set of ordered pairs (3, 10 ) and (4, 5) represents a function whereas (3, 10) and (3, 13) does not.

With this in mind, looking at the given set we see that every input gives a unique output; therefore, the set represents a function.

50% of $277 is $144True or False

Answers

Answer:

FALSE

Explanation:

Given the expression

50% of $277

This can also be written as;

= 50/100 * 277

= 1/2 * 277

= 277/2

= 138.5

Therefore 50% of $277 is $138.5 not $144 rendering the question FALSE

Subtract these polynomials.
(3x + 2x + 4) (x + 2x+ 1) =

Answers

=(3x2 + 2x + 4) - (x2 + 2x + 1)

Combine like terms

=(3x2-x2)+(2x-2x)+(4-1)

=2x2+0+3

The 2x terms cancel each other to 0

=2x2+3

C) 2x2+3 is the answer.

Hope this helps!

Answer:

15x^2+17x+4

Step-by-step explanation:

(3x+2x+4)(x+2x+1)

Combine 3x and 2x to get 5x.

(5x+4)(x+2x+1)

Combine x and 2x to get 3x.

(5x+4)(3x+1)

Apply the distributive property by multiplying each term of 5x+4 by each term of 3x+1.

15x ^2+5x+12x+4

Combine 5x and 12x to get 17x.

15x^2+17x+4

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sean earns $300 in a regular work week. A regular work week for sean consists of 5 work days with 8 hours a day. How much money does sean earn each hour

Answers

Solution:

According to the problem, a regular work week consists of 5 work days with 8 hours a day. This is equivalent to say:

5 x 8 hours every regular work week.

That is:

40 hours every regular work week

then, the money earned per hour is:

[tex]\frac{300\text{ }dollars}{40\text{ hours}}\text{ = 7.5 dollars per hour}[/tex]

then we can conclude that the correct answer is:

$7.5

1+1=? Need Help! Asap

Answers

By definition, Addition is a mathematical operation.

In this case, you have the following Addition given in the exercise:

[tex]1+1[/tex]

Your answer would be 2.

Braden goes to the store to buy earmuffs. The sign says they were originally $13.50 but they are on sale for 15% off. What is the cost of the earmuffs now

Answers

Answer:

$11.48

Step-by-step explanation:

Change 15% to 0.15. then you multiply 13.50 by 0.15

13.50 x 0.15 = 2.025

Then you round 2.025

by rounding 2.025 you should get 2.03

with that you should subtract $13.50 by 2.03

13.50 - 2.03 = 11.48

I hope this helps :)

7-Which beans are the better deal? Kidney Beans $1.18 per lb O Lima Beans $213 for 2 lbs 76-What is the Unit Price for the better deal? Round to the nearest hundredth) Put your answer in the form 0.00 or .00, so if answer is 43 cents, its 0.43 or.43, if there is a dollar amount like 1.50, do not add zeros in front).

Answers

Given :

Two kinds of Beans :

1. Kidney Beans $1.18 per lb

The unit price = $1.18

2. O Lima Beans $213 for 2 lbs

The unit price = 2.13/2 = 1.065

Rounding to the nearest hundredth

So,

The unit

Two airplanes are flying in the air at the same height. Airplane A is flying east at 451 mi/h and airplane B is flying north at 494 mi/h. If they are both heading to the same airport, located 3 miles east of airplane A and 3 miles north of airplane B, at what rate is the distance between the airplanes changing?

Answers

The rate at which the distance between the airplanes is changing is  668.2 mi/h.

In the given question,

Speed of Airplane A:

dA/dt = 451 mi/h

and the Speed of Airplane B:

dB/dt = 494 mi/h

Aircraft A and B will form a right triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.

Let P be the distance.

P² = A² + B²

Differentiating the above equation with respect to t,

2P(dP/dt) = 2A(dA/dt) + 2B(dB/dt)

Dividing each side of the equation by 2,

P( dP/dt ) = A( dA/dt ) + B( dB/dt )                  ..........(1)

Where dP/dt is the rate of change in distance between the two aircraft.

Now,

P² = A² + B²

P = √(A² + B²)

Substituting, A = 3 miles and B = 3miles;

P = √(3² + 3²)

P = √( 9+ 9)

P = √18

P = 3√2 miles

Substituting the value in the equation (i)

3√2 (dP/dt) = (3× 451) + (3× 494)

3√2 (dP/dt) = 2835

4.2426 × dP/dt = 2835

dP/dt = 2835/4.2426

dP/dt = 668.2 mi/h

Therefore, the rate at which the distance between the airplanes is changing is  668.2 mi/h

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Given a polyhedron with 6 vertices and 12 edges, how many faces does it have?

Answers

SOLUTION

GIVEN

A polyhedron has 6 vertices and 12 edges.

TO DETERMINE

The number of faces

CONCEPT TO BE IMPLEMENTED

Euler’s formula for Polyhedron :

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .

EVALUATION

Here it is given that a polyhedron has 6 vertices and 12 edges

V = Number of vertices = 6

E = Number of edges = 12

F = Number of faces = ?

By Euler’s formula

F + V = E + 2

⇒ F + 6 = 12 + 2

⇒ F + 6 = 14

⇒ F = 8

FINAL ANSWER

The number of faces = 8

Writing the equation of a quadratic function given its graph

Answers

Answer:

[tex]y=-(x-1)^2+2[/tex]

Step-by-step explanation:

A quadratic function in vertex form is represented as:

[tex]\begin{gathered} y=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the vertex} \end{gathered}[/tex]

Given the vertex (1,2) substitute it into the function:

[tex]y=a(x-1)^2+2[/tex]

As you can see, we still do not know the value for ''a'', use the point given (4,-7) substitute it (x,y) and solve for ''a'':

[tex]\begin{gathered} -7=a(4-1)^2+2 \\ -7=a(3)^2+2 \\ -7=9a+2 \\ 9a=-7-2 \\ a=-\frac{9}{9} \\ a=-1 \end{gathered}[/tex]

Hence, the equation of the function would be:

[tex]y=-(x-1)^2+2[/tex]

In a right triangle, one of the acute angles measures of degrees. What is the measure of the other acute angle?
A. 90-d
B. 90 d
C. 180-d
D. 180+d

Answers

The correct answer is  A. 90 - d

Since the sum of all the angles in a triangle is 180° and one of the angle is 90° because the triangle is a right triangle. So the sum of the remaining angles is 90°.

And to find the other acute angle we use 90° - d.

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In the matrix equation below, what are the values of x and y? 1/2 [4 8 x+3 -4] -3 [1 y+1 -1 -2]= [-1 -5 7 4]​

Answers

Using the matrix equation, the value of x and y are 5 and 2 respectively.

Consider the 2 by 2 matrix equations,

1/2 [ 4  8     ( x + 3 )   - 4 ] - 3[ 1  y+1    -1  - 2 ] = [ - 1  -5   7  4 ]

[ 2   4       (x+3)/2    -2] + [ - 3   -3y -3   +3  + 6] = [ - 1 - 5    7  4]

[ -1  -3y + 1    (x + 9)/2   + 4]  = [ - 1 - 5   7  4]

Therefore,

- 3y + 1 = - 5

Subtracting 1 from each side of the equation,

- 3y + 1 - 1 = - 5 - 1

- 3y = - 6

Dividing each side of the equation by - 3,

y = 2

And;

( x + 9 )/2 = 7

Multiplying each side by 2,

x + 9 = 14

Subtracting 9 from each side of the equation,

x + 9 - 9 = 14 - 9

x = 5

Therefore, the value of x and y is 5 and 2 respectively.

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Mary estimates the weight of her cat to be 10 pounds.the actual weight of the cat is 13.75 pounds.find the percent error.

Answers

The percentage error is the ratio of the difference between the two readings and the actual

Error = 13.75 - 10

= 3.75

Percent error = 3.75/13.75

= 27.27%

A person investigating to employment opportunities. They both have a beginning salary of $42,000 per year. Company A offers an increase of $1000 per year. Company B offers 7% more than during the preceding year. Which company will pay more in the sixth year? what will company A pay? and what will company B pay?

Answers

qANSWER

Company B will pay more

Company A =

EXPLANATION

Both companies start by paying $42,000 per year.

Company A offers an increase of $1000 per year.

This means that after n years, he would have earned:

Earnings = 42000 + 1000n

where n = number of years after the first year

So, after 6 years, he would have worked 5 years after the first, so his earnings would be:

Earnings = 42000 + 1000(5) = 42000 + 5000

Earnings = $47000

Company B offers 7% more than the previous year. That means that his earnings are compounded.

His earnings can then be represented as:

[tex]\text{ Earnings = P(1 + }\frac{r}{100})^t[/tex]

where P = initial salary = $42000

r = interest rate = 7%

t = number of years spent = 6 years

Therefore, his earnings after the 6th year will be:

[tex]\begin{gathered} \text{ Earnings = 42000(1 + }\frac{7}{100})^6 \\ \text{ Earnings = 42000(1 + 0.07)}^6=42000(1.07)^6 \\ \text{ Earnings = }42000\cdot\text{ 1.501} \\ \text{Earnings = \$63042} \end{gathered}[/tex]

He would have earned $63042.

Therefore, Company B will pay more.

qANSWER

Company B will pay more

Company A =

EXPLANATION

Both companies start by paying $42,000 per year.

Company A offers an increase of $1000 per year.

This means that after n years, he would have earned:

Earnings = 42000 + 1000n

where n = number of years after the first year

So, after 6 years, he would have worked 5 years after the first, so his earnings would be:

Earnings = 42000 + 1000(5) = 42000 + 5000

Earnings = $47000

Company B offers 7% more than the previous year. That means that his earnings are compounded.

His earnings can then be represented as:

[tex]\text{ Earnings = P(1 + }\frac{r}{100})^t[/tex]

where P = initial salary = $42000

r = interest rate = 7%

t = number of years spent = 6 years

Therefore, his earnings after the 6th year will be:

[tex]\begin{gathered} \text{ Earnings = 42000(1 + }\frac{7}{100})^6 \\ \text{ Earnings = 42000(1 + 0.07)}^6=42000(1.07)^6 \\ \text{ Earnings = }42000\cdot\text{ 1.501} \\ \text{Earnings = \$63042} \end{gathered}[/tex]

He would have earned $63042.

Therefore, Company B will pay more.

Evaluate each expression for the given value of the variable. #9 and #10

Answers

Part 9

we have

(c+2)(c-2)^2

If c=8

substitute the value of c in the expression

so

(8+2)(8-2)^2

(10)(6)^2

(10(36)

360

Part 10

we have

7(3x-2)^2

If x=4

substitute the value of x in the expression

7(3(4)-2)^2

7(10)^2

7(100)

700

Four plumbers estimated the length of the length of the radius of a cylindrial pipe. The estimates made by the plumbers are listed • 3/5 • 3/11 • 9/100 • 3.14/24 ? : . .

Answers

Different estimates:

The length of the radius of a cylindrical pipe:

Plumber W:

Radius had a length: 3/5 inches.

Plumber X:

Radius had a length: sqrt(3/11) inches.

Plumber Y:

Radius had a length of 9/100 inches.

Plumber Z:

Radius had a length of 3/14/24 inches.

Turn them into decimals:

We can turn each length into decimal:

Plumber W: 3/5 = 0.6.

Plumber X: sqrt(3/11) = 0.522222..

Plumber Y: 9/100 = 0.09

Plumber Z: 3.14/24 = 0.13083

The list from the greatest to least:

We can order this list taking into account the following reasoning: when the number is near to zero, this number is less than the other in the list. Examples: 0.001, 0.0002, 0.00004 are very near to zero.

Additionally, when a number is near 1 (the unit), this number is greater than the other less near to 1.

Examples: 0.69, 0.73, 0.888, 0.99 are near to zero.

The numbers we got in the list are decimals numbers coming from fractions and the square root was taken to the estimation of plumber X. Therefore:

From list 0.6, 0.52222..., 0.09, 0.13083

The number nearest to zero is 0.09. Then, 0.13083 is greater than 0.09 but less than the others. The following number is 0.5222..., and the greatest is 0.6.

The list that shows these lengths in order from the greatest to least is:

{0.6, 0.5222..., 0.13083, 0.09}.

Which is equivalent to:

{3/5, sqrt(3/11), 3.14/24, 9/100}.

OB. 1OC.If X = 24 inches, Y = 45 inches, and Z= 51 inches, what is the tangent of ZA?OA. 19715NOD. 1B

Answers

Given that

We have a right-angled triangle and have to find angle A's tangent.

Explanation -

The triangle is shown as

Here we have,

X = 24 inches

Y = 45 inches

Z = 51 inches

Then, the tangent of angle A will be

[tex]\begin{gathered} The\text{ formula for the tangent is } \\ tan=\frac{Perpendicular}{Base} \\ \\ tan=\frac{P}{B} \\ For\text{ angle A thevalues are, P = 45 and B = 24} \\ Then, \\ tanA=\frac{45}{24} \\ \\ tanA=\frac{15}{8} \end{gathered}[/tex]

So the correct option is B.

Final answer -

Therefore the final answer is 15/8

Which is an equivalent expression for 4 times d raised
to the negative third power all over quantity 18 times d
raised to the ninth power end quantity?

Answers

Answer:

2d⁻³/9d⁻⁹

Step-by-step explanation:

4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³

18 times d raised to the ninth power = (18 × d)⁻⁹ = 18d⁻⁹

the equation as a quotient:

Expression = 4d⁻³/18d⁻⁹

Expression = 2d⁻³/9d⁻⁹

We have a box with a circular base (diameter 20 cm) and height 4 cm.Calculate the volume.

Answers

We can calculate the volume as the product of the area of the base and the height.

The area of the base is function of the square of the diameter, so we can write:

[tex]\begin{gathered} V=A_b\cdot h \\ V=\frac{\pi D^2}{4}\cdot h \\ V\approx\frac{3.14\cdot(20\operatorname{cm})^2}{4}\cdot4\operatorname{cm} \\ V\approx\frac{3.14\cdot400\operatorname{cm}\cdot4\operatorname{cm}}{4} \\ V\approx1256\operatorname{cm}^3 \end{gathered}[/tex]

Answer: the volume of the box is 1256 cm^2.

AMNP ~ AQRP N x + 8 28 M 24 P 3x - 9 R Create a proportion and find the length of side PR*

Answers

Using thales theorem:

[tex]\begin{gathered} \frac{24}{28}=\frac{x+8}{3x-9} \\ 24(3x-9)=28(x+8) \\ 72x-216=28x+224 \\ 44x=440 \\ x=\frac{440}{44} \\ x=10 \\ PR=3(10)-9=21 \end{gathered}[/tex]

Please help me solve this using six grade math (easy formulas)

Answers

We will break the surface area of the tent up into its sides, the front and the back and the bottom.

Area of the sides: 2(5*7) = 70

Area of the front and the back: 2( 1/2 (6*4)) = 24

Area of the bottom: 7*6 = 42

Least amount of fabric required = 136ft

Been out of school for health issues trying to catch up work thanks!!

Answers

DEFINITIONS

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B.

The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Using a Venn Diagram, the union and intersection of two sets can be seen below:

GIVEN

The sets are given to be:

[tex]\begin{gathered} S=\mleft\lbrace1,2,3,\ldots,18,19,20\mright\rbrace \\ A=\mleft\lbrace3,4,8,9,11,13,14,15,20\mright\rbrace \\ B=\mleft\lbrace4,7,13,14,16,18,19\mright\rbrace \end{gathered}[/tex]

QUESTION

1) (A ∪ B): The terms of the two sets contained in either set or the two sets are

[tex](A\cup B)=\mleft\lbrace3,4,7,8,9,11,13,14,15,16,18,19,20\mright\rbrace[/tex]

2) (A ∩ B): The elements that are in both sets are

[tex](A\cap B)=\mleft\lbrace4,13,14\mright\rbrace[/tex]

Each face of a pyramid is an isosceles triangle with a 70 degree vertex angle. What are the measures of the base angles?

Answers

We are given that each face of a pyramid is an isosceles triangle and that its vertex angle is 70 degrees. This problem can be exemplified in the following diagram:

Since the triangle is isosceles, its base angles are the same, and the sum of the interior angles must be equal to 180 degrees. Therefore, we have the following relationship:

[tex]70+x+x=180[/tex]

Adding like terms, we get:

[tex]70+2x=180[/tex]

Now we solve for "x", first by subtracting 70 on both sides:

[tex]\begin{gathered} 70-70+2x=180-70 \\ 2x=110 \end{gathered}[/tex]

Now we divide both sides by 2

[tex]x=\frac{110}{2}=55[/tex]

Therefore, the base angles of the pyramid are 55 degrees.

Im in algebra 2 but we are also learning geometry the question asks to find the length of each arc

Answers

Answer:

The length of the arc = 8π/3 mi

Explanation:

The length of an arc is given by the fomula:

[tex]L=\frac{\theta}{360}\times2\pi r[/tex]

The radius, r = 8 ml

[tex]\theta=60^0[/tex]

[tex]\begin{gathered} L=\frac{60}{360}\times2\pi\times8 \\ \\ L=\frac{16\pi}{6} \\ \\ L=\frac{8\pi}{3} \end{gathered}[/tex]

The length of the arc = 8π/3 mi

Based on the graph of f(x) shown here what is f^-1(8).

Answers

Answer

2

Explanation:

f⁻¹(8) is equal to the value of x that makes f(x) = 8. So, taking into account the graph, we get:

Therefore, f⁻¹(8) = 2. So the answer is 2

Floyd is an aspiring music artist. He has arecord contract that pays him a base rate of$200 a month and an additional $12 for eachalbum that he sells. Last month he earned atotal of $644.Write an equation to determine the numberof albums (a) Floyd sold last month.Find the number of albums Floyd sold lastmonth.albums

Answers

Explanation:

Equate the given data to solve for x.

$200 + $12x = $644.

To determine the number of albums sold, Let x be the number of album sold by Floyd last month.

200 + 12x = 644

12x =644-200

12x = 444

x = 444/12

x= 37.

Floyd has sold 37 albums last month.

Answer:

The equation to determine the number of albums Floyd sold last month is 200+12x = 644.

and the number of album Floyd sold last month is 37.

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