plz hurry!!!! thank you!!!!

Plz Hurry!!!! Thank You!!!!

Answers

Answer 1

Answer:

[tex]m\angle KLM=53.13^o[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

[tex]KO=MO=r=5\ units[/tex]

[tex]KM=8\ units[/tex]

Applying the law of cosines

[tex]8^2=5^2+5^2-2(5)(5)cos(KOM)[/tex]

[tex]64=50-50cos(KOM)[/tex]

[tex]50cos(KOM)=50-64[/tex]

[tex]50cos(KOM)=-14[/tex]

[tex]cos(KOM)=-14/50[/tex]

[tex]m\angle KOM=cos^{-1}(-14/50)[/tex]

[tex]m\angle KOM=106.26^o[/tex]

step 2

Find the measure of the arc KM

we know that

[tex]arc\ KM=m\angle KOM[/tex] ----> by central angle

we have

[tex]m\angle KOM=106.26^o[/tex]

so

[tex]arc\ KM=106.26^o[/tex]

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising  

[tex]m\angle KLM=\frac{1}{2}[arc\ KM][/tex]

we have

[tex]arc\ KM=106.26^o[/tex]

substitute

[tex]m\angle KLM=\frac{1}{2}[106.26^o][/tex]

[tex]m\angle KLM=53.13^o[/tex]

Plz Hurry!!!! Thank You!!!!

Related Questions

Earl Pumpernickel owns and operates The Earl of Sandwiches, a profitable catering business in Logic Town. Recently, Earl was lucky enough to land a lucrative contract that will enable him to supply food for the Big Corporation for an entire month of lunch conferences. For the upcoming week, for example, he knows that Friday’s meeting will require 12 more sandwiches than Tuesday’s meeting, which will require six fewer sandwiches than Monday’s, which will require 20 more sandwiches than Wednesday’s, which will require five fewer sandwiches than Thursday’s. If the number of sandwiches ordered for the conference that calls for the fewest is 50, how many sandwiches will Earl need to make for the Big Corporation each day next week?

Answers

Answer:

Monday: 70

Tuesday: 64

Wednesday: 50

Thursday: 55

Friday: 76

Step-by-step explanation:

Equations

Let's call x to the number of sandwiches ordered for Thursday's meeting. We know that for Wednesday’s, we'll need x-5 sandwiches, for Monday's, we'll need 20 more, i.e. (x-5+20)=x+15 sandwiches. For Tuesday's it will be 6 fewer than x+15, or x+9. Finally, for Friday's, it will be 12 more than x+9 or x+21. Summarizing:

Monday: x+15

Tuesday: x+9

Wednesday: x-5

Thursday: x

Friday: x+21

The fewest of them all is x-5 and is must be equal to 50

[tex]x-5=50[/tex]

[tex]x=55[/tex]

The number of sandwiches per day is

Monday: x+15=70

Tuesday: x+9=64

Wednesday: x-5=50

Thursday: x=55

Friday: x+21=76

1. Jada measured the height of a plant in a science experiment and finds that, to the 1/4 nearest of an inch, it is 3/4 inches.
a. What is the largest the actual height the plant could be?
b. What is the smallest the actual height the plant could be?
c. How large could the percent error in Jada's measurement be?​

Answers

Final answer:

The largest possible height of the plant is 1 inch, the smallest possible height is 0 inches, and the largest possible percent error in Jada's measurement is -25%.

Explanation:

To find the largest possible height of the plant, we need to round up the measurement of 3/4 inch to the nearest whole inch. In this case, that would be 1 inch. Therefore, the largest the actual height of the plant could be is 1 inch.

To find the smallest possible height of the plant, we need to round down the measurement of 3/4 inch to the nearest whole inch. In this case, that would be 0 inches. Therefore, the smallest the actual height of the plant could be is 0 inches.

The percent error in Jada's measurement can be found by calculating the difference between the approximate measurement and the actual measurement, dividing it by the actual measurement, and then multiplying by 100. In this case, the approximate measurement is 3/4 inch and the actual measurement could be between 0 and 1 inch. So, the largest possible percent error would be (3/4 - 1) / 1 * 100 = -25%, and the smallest possible percent error would be (3/4 - 0) / 1 * 100 = 75%.

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What are the intercepts of the graphed function?

x-intercept = (-1,0)
y-intercept = (-3,0)
x-intercept = (0, -1)
y-intercept = (0, -3)
x-intercept = (0, -1)
y-intercept = (-3,0)
x-intercept = (-1, 0)
y-intercept = (0, -3)

Answers

Answer:

x-intercept = (-1,0)

y-intercept = (0,-3)

Explanation:

x-intercepts are points where the line crosses the x-axis.

y-intercepts are points where the line crosses the y-axis.

Answer:

D

Step-by-step explanation:

Help please,
I had a question like this before but got it wrong, can somebody please explain how to get the answer?

Answers

Answer:

-4,5

Step-by-step explanation:

How are the two angles related?

Answers

Answer:

They are supplementary

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees.

Consider the graph of the line y = .5x- 4 and the point
(-4,2).
The slope of a line parallel to the given line is
(1/
24
A point on the line parallel to the given line, passing
through (-4, 2), is (0,4) 4.
The slope of a line perpendicular to the given line is
-2
A point on the line perpendicular to the given line,
passing through (-4,2), is

Answers

Answer:

slope of parallel line and perpendicular line are 5 and -1/5 espectively

equation of parallel and perpendicular line are y = 5x + 22 [tex]y= \frac{-1}{5} x+\frac{6}{5}[/tex] respectively

Step-by-step explanation:

y = 5x - 4 is in the form

y = mx + c

where m is the slope of the line and c is the y intercept of thr line

therefore slope of the line = 5 and y intercept = -4

when an another line is parallel to the given line then the slope of both the lines are equal

therefore the slope the parallel line = 5

equation of a line passing through a given point [tex](x_{1} ,y_{1})[/tex] with slope m is given by [tex]y-y_{1} = m(x-x_{1} )[/tex]

given [tex](x_{1} ,y_{1})[/tex]= (-4,2)

therefore equation of line y-2 = 5(x+4)

therefore y = 2+ 5x+20

y = 5x + 22is the eqaution of required line.

when two lines are perpendiculer then

[tex]m_{1} m_{2}=-1[/tex]

where [tex]m_{1} and m_{2}[/tex] are slope of the lines therefore

m×5=-1

therefore m= [tex]\frac{-1}{5}[/tex]

therefore eqaution of line passing through (-4,2) and with slope m= [tex]\frac{-1}{5}[/tex] is given by [tex]y - 2= \frac{-1}{5} (x+4)[/tex]

[tex]y= \frac{-1}{5} x+\frac{6}{5}[/tex]

We can see here that the line perpendicular to the given line, passing through (-4, 2), is (0, -6).

How we arrived at the solution?

Let's first verify the given information and then find the point on the line perpendicular to the given line passing through (-4, 2).

Given line: y = 0.5x - 4

Slope of a line parallel to the given line:

The slope of the given line is 0.5. Parallel lines have the same slope. Therefore, the slope of a line parallel to the given line is also 0.5.

A point on the line parallel to the given line, passing through (-4, 2):

Since the slope of the parallel line is 0.5, and we know a point (-4, 2) that lies on it, we can find the equation of the parallel line using the point-slope form of a line.

Point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.

Substitute the values: y - 2 = 0.5(x + 4)

Now, let's find a point on the line perpendicular to the given line, passing through (-4, 2):

Slope of a line perpendicular to the given line:

Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the given line is 0.5, so the slope of the line perpendicular to it is -1/0.5 = -2.

A point on the line perpendicular to the given line, passing through (-4, 2):

Using the point-slope form again, we can find the equation of the perpendicular line passing through (-4, 2).

Point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.

Substitute the values: y - 2 = -2(x + 4)

Now, we can find another point on the perpendicular line by setting x = 0:

y - 2 = -2(0 + 4)

y - 2 = -8

y = -6

So, another point on the line perpendicular to the given line, passing through (-4, 2), is (0, -6).

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Two burgers and one hotdog cost $4.82. At the same price, one burger and two hotdogs cost &3.70. How much does a hotdog cost?

Answers

Answer:

Step-by-step explanation:

Price of a hotdog = $0.86

What is an equation?

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions.

The sign that connects these two expressions is “=”.

Given,

2 burgers and 1 hotdog cost = $4.82

1 burger and 2 hotdogs cost = $ 3.70

The price is same

Let the price of burger be x and price of hotdog be y

then,

2x + y = 4.82   ---------(a)

x + 2y = 3.70  

Multiplying 2 in above equation

2x + 4y = 7. 40  -----------(b)

Subtracting equation (a) from equation (b)

2x + 4y - (2x+y) = 7.40 - 4.82

2x + 4y -2x -y = 2.58

3y = 2.58

y = 2.58/3

y = 0.86

Price of hotdog = $0.86

Hence, a hotdog costs $0.86.

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Two linear functions are shown below which function has the greater rate of change

Answers

Answer:

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

Step-by-step explanation:

Assuming the following two functions:

Function 1: y = 4x + 8

Function 2:  

x y

2 20

4 10

6 0

We can find the slope for the second function like this:

[tex]m =\frac{10-20}{4-2}=-5[/tex]

And in order to find the intercept we can use any point for example (2,20) and we got:

[tex]20 =-5(2) +b[/tex]

And then [tex] b=30[/tex]

So our function 2 is given by: [tex] y =-5x +30[/tex]

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

Factor completely 6xv^2-18xv

Answers

Answer: 6xv( v - 3 )

Step-by-step explanation:

6xv² - 18xv

Looking into the equation critically, we could see that 6xv is common to the expression.

Therefore, the expression now becomes

6xv( v - 3 ).

How do u add 2 3/4 + 3 3/8

Answers

Answer:

change to improper fractions first

6/8 + 6/24

make so there is a common denominator

6/8 × 3/3 = 18/24

now add

18/24 + 6/24 = 24/24 = 1

First, find the common denominator.

3/8 and 3/4 ——> the both have 16.

3/4 X 4/4 and 3/8 X 2/2 —> 12/16 & 6/16

Now, we are going to add.

2 12/16 + 3 6/16 = 6 2/16

You carrying the one since you got 18/16.

Line 1 thru (3,2) and (5,-1)

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slopw and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (5, - 1)

m = [tex]\frac{-1-2}{5-3}[/tex] = - [tex]\frac{3}{2}[/tex], thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2), then

2 = - [tex]\frac{9}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{9}{2}[/tex] = [tex]\frac{13}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{13}{2}[/tex] ← equation of line

Answer:

The equation of the line passing through the given points is

[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]

Step-by-step explanation:

GIven two points are (3,2) and (5,-1)

To find the equation of the line passing through these two points

Let [tex](x_{1},y_{1})[/tex] and  [tex](x_{2},y_{2})[/tex] be the two points (3,2) and (5,-1) respectively

Using the two points formula for finding slope:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-1-2}{5-3}[/tex]

[tex]m=\frac{-3}{2}[/tex]

Therefore [tex]m=-\frac{3}{2}[/tex]

By using  formula:

[tex]y=mx+c[/tex]

Here Let (x,y) be (3,2)

[tex]y=mx+c[/tex]

[tex]2=-{\frac{3}{2}}\times 3+c[/tex]

[tex]2=\frac{-9}{2}+c[/tex]

[tex]c=\frac{9}{2}+2[/tex]

[tex]c=\frac{9+4}{2}[/tex]

[tex]c=\frac{13}{2}[/tex]

Therefore substitute values of m and c in

[tex]y=mx+c[/tex]

[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]

Therefore the equation of the line passing through the given points is

[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]

The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to
convert this speed to meters per hour?
A 1 kilometer/
1.000 meters
B 1 meter/
1.000 kilometers
C 1,000 meters/
1 kilometer
D 1.000 kilometers/
1 meter

Answers

The conversion factor used to convert kilometer per hour to meter per hour is [tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]

Solution:

Given that average person's speed when riding a bike along a street is 18 kilometers per hour

To find: conversion factor used to convert the given speed to meters per hour

Given average speed = 18 km per hour

From the conversion parameters:

1 km = 1000 meters

or

[tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]

So, we can use the above conversion factor to convert average speed into meters per hour

18 km per hour = 18000 meter per hour

So the conversion factor used to convert kilometer per hour to meter per hour is [tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]

Thus option C is correct. 1000 meters for 1 kilometers

Answer:

its c

Step-by-step explanation:

Mr. Edwards hired a new employee to work in his bakeshop. In one hour, this
employee burned 439 chocolate chip cookies, which represented 25% of all the
cookies the employee burned in that day. How many cookies did the new employee
burn in the course of the day?

Answers

Final answer:

To find the total number of cookies burnt in the day, which is the whole, we would use the formula 'whole = part / percentage', or 'whole = 439 / 0.25', which gives us 1756 cookies.

Explanation:

The subject of this question is Mathematics, specifically it's a problem on percent. The problem states that 439 cookies represented 25% of all the cookies the employee burnt that day. The question asks us to find the total number of cookies burnt by using this information.

When trying to find the whole from a percent, you can use the formula: whole = part / percentage. In this case, 'part' refers to the 439 cookies, and 'percentage' is 25% expressed as a decimal (0.25).

Using the formula, we find that the total (whole) number of cookies burnt is: whole = 439 / 0.25 = 1756 cookies. So, the new employee burnt 1756 cookies in the course of the day.

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SOMEONE HELP PLEASEEE.I NEED HELP WITH 12TH GRADE TRIG.​

Answers

Answer:

x = 13.7

Step-by-step explanation:

This is a right triangle so we use the trig ratios. We need an angle of reference (not the right angle) and any side (which is given, hypotenuse = 47).

We can either find the angle at the top or the right to be the angle of reference, Θ (theta).

Angle at the top:

The two angles, 17° and the unknown interior angle add to 90° because they are complementary.

∠Θ = 90° - 17° = 73°

Now use the trig ratio cosine.

cosΘ = adjacent ÷ hypotenuse

cos(73°) = x / 47

x = 47cos(73°)

x = 13.74147.....    Round down the exact answer to nearest tenth

x ≈ 13.7                Answer

The value of x is the same as the side adjacent to the angle of reference I chose.

If I chose the other missing angle to be the angle of reference, I would use sine and x would be opposite.

1) a, = an-1-9
a, = 25

Answers

Answer:

an-1-9

25n-1-9

25n-10=0

25n=0+10

25n=10

divide both sides by 25

25n/25 =10/25

n=2/5

Step-by-step explanation:

Answer:

n=1.4

Step-by-step explanation:

given  a=25

a=an-1-9..............(1)

put a=25 in equ (1)

25=25n-1-9

25=25n-10

25n=25+10=35

n=[tex]\frac{35}{25}[/tex]=1.4

n=1.4   answer

Find the total number of unit cube that fill the entire prism

Answers

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

           Width= 3

            Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= [tex]length\times width\times height[/tex]

Volume of prism= [tex]6\times 3\times 4= 72[/tex]

72 units of cube can fill the entire prism.

Which situation can be modeled using the equation 5x+3=27

Answers

Answer:

x=4.8

Step-by-step explanation:

5x+3=27

   -3     -3

5x=24

/5  /5

x = 4.8

Answer:

Sam has 27 pencils. He has 3 loose pencils and 5 packs of pencils with x pencils in each pack.

Step-by-step explanation:

A spinner is divided into three equal parts that are colored different. The colors are red white and blue

Answers

im sorry what is the question
and what is the question?

pls help fast 25 points! 60% of 45 =

Answers

The answer would be 27.

Answer:

27

Step-by-step explanation:

Pat bounces a basketball 25 times in 30 seconds. At that rate approximately how many times will pat bounce the ball in 150 seconds?

Answers

Pat will bounce the ball 125 times in 150 seconds

Solution:

Given that,

Pat bounces a basketball 25 times in 30 seconds

To find: Number of times Pat will bounce the ball in 150 seconds

From given information,

30 seconds = 25 times

Therefore number of times ball bounces in 1 second is:

[tex]\text{1 second } = \frac{25}{30} \text{ times }[/tex]

So to find for 150 seconds, multiply both the sides by 150

[tex]150 \text{ seconds } = \frac{25}{30} \times 150 = 125 \text{ times }[/tex]

Therefore Pat will bounce the ball 125 times in 150 seconds

Answer:

125

Step-by-step explanation:

I need to know the answers for a, b, and c for 23.

Answers

Answer:

Step-by-step explanation:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

Answer:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two
different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile.

Answers

Answer:

1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.

2. Boston: First 1/7 Mile: $2.60  and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile  $2.80 , each additional 1/11 mile  $0.20 . Rate per mile after first mile  $2.20 and wait time per minute  $0.40.

Step-by-step explanation:

Normally, there's a standard fare for each city, so for answering the question we picked three well-known cities for comparing the fares.

1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.

2. Boston: First 1/7 Mile: $2.60  and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile  $2.80 , each additional 1/11 mile  $0.20 . Rate per mile after first mile  $2.20 and wait time per minute  $0.40.

A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 per gym visit. Nonmembers pay $10 per gym visit.

Upload a graph

Type the system of equations you used to graph the solutions. Use C for the cost of the two payment options and n for number of visits.

After how many gym visits is the payment for the member option more beneficial than the payment for the nonmember option? Explain how you determined your answer.

Answers

Answer:

Part 1) The system of equations is

[tex]C=8n+12[/tex] ----> equation 1

[tex]C=10n[/tex] ----> equation 2

Part 2) The graph in the attached figure

Part 3) The number of gym visits must be greater than 6

Step-by-step explanation:

step 1

Find the system of equations that represent the situation

Let

C ----> the total cost in dollars

n ---> the number of gym visits

we know that

The linear equation in slope intercept form is equal to

[tex]C=m(n)+b[/tex]

where

m is the slope or unit rate of the linear equation

b is the C-intercept or initial value of the linear equation

First payment option ---> For Members

we have that

The slope or unit rate is equal to [tex]m=\$8\ per\ gym\ visit[/tex]

The C-intercept or initial value is [tex]b=\$12[/tex] --->one-time registration fee

substitute

[tex]C=8n+12[/tex]

Second payment option ---> For Non-Members

we have that

The slope or unit rate is equal to [tex]m=\$10\ per\ gym\ visit[/tex]

The C-intercept or initial value is [tex]b=\$0[/tex]

substitute

[tex]C=10n[/tex]

we have

[tex]C=8n+12[/tex] ----> equation 1

[tex]C=10n[/tex] ----> equation 2

Part 2) Upload a graph

using a graphing tool

The graph in the attached figure  

Part 3) After how many gym visits is the payment for the member option more beneficial than the payment for the nonmember option?

we know that

If the payment for the member option is more beneficial than the payment for the nonmember option, then the cost for the member option is less than the cost for the nonmember option

so

The inequality that represent this situation is

[tex]8n+12 < 10n[/tex]

solve for n

subtract 8n both sides

[tex]12 < 10n-8n[/tex]

[tex]12 < 2n[/tex]

Divide by 2 both sides

[tex]6 < n[/tex]

Rewrite

[tex]n > 6[/tex]

therefore

The number of gym visits must be greater than 6

Plz plz plz plz plz help

Answers

Ok, so 27 is >, 30 is <, 13/5 is 2 3/5, 5 2/7 is 37/7, 9 3/4 is 39/4, and 23/3 is      7 2/3

I did not do #27 and #30, just did the table.

Which image shows a counter-clockwise rotation of the blue quadrilateral PQRS 90° around the origin?

Answers

The missing figure is attached below.

Answer:

The first image from left.

Step-by-step explanation:

Given:

Rotation of the quadrilateral PQRS by 90 degree counterclockwise around the origin.

We know that, for a 90 degree counterclockwise rotation, the transformation rule for the coordinates is given as:

[tex](x,y)\to (-y,x)[/tex]

So, the 'x' and 'y' interchange their values after rotation and the 'y' value sign is reversed.

Now, let us check each option.

Option 1:

Coordinates of the original quadrilateral are:

P(5, 2.5), Q(1, 4), R(2, 2.5), and S(1, 1)

Now, after rotation by 90 degree counterclockwise, the coordinates of the transformed figure will be:

[tex](x,y)\to (-y,x)[/tex]. So,

P(5, 2.5) → P'(-2.5, 5)

Q(1, 4) → Q'(-4, 1)

R(2, 2.5) → R'(-2.5, 2)

S(1, 1) → S'(-1, 1)

Now, if we check the coordinates of P', Q', R' and S' on the first option, we see that they are same as calculated above. So, the correct option is option 1.

Option 2:

Coordinates of P are (5, 2.5) and coordinates of P' are (2.5, -5) which doesn't match with the transformation rule. So, this option is incorrect.

Option 3:

Coordinates of P are (5, 2.5) and coordinates of P' are (-5, 2.5) which doesn't match with the transformation rule. So, this option is incorrect.

You need to buy fertilizer for a circular flower bed with a diameter
of 13 feet. If one bag will fertilize 10 square feet, how many bags
do you need to buy?

Answers

14 bags of fertilizer are needed

Solution:

Given that You need to buy fertilizer for a circular flower bed with a diameter

of 13 feet

Diameter = 13 feet

[tex]radius = \frac{diameter}{2}[/tex]

[tex]radius = \frac{13}{2} = 6.5[/tex]

Therefore radius of circular flower bed is 6.5 feet

Area of circle is given as:

[tex]\text{ area of circle } = \pi r^2[/tex]

Substitute r = 6.5

[tex]\text{ area of circle } = 3.14 \times 6.5^2 = 132.665[/tex]

Given that one bag will fertilize 10 square feet

1 bag = 10 square feet

Then number of bags needed are:

[tex]\rightarrow \frac{132.665}{10} = 13.2665[/tex]

Thus approximately 14 bags of fertilizer are needed

A student is solving a system of equations by substitution and comes up with the solution -3=2. Assuming that she solved the problem correctly, which of the following can be said about this system of equations?

A) the system has exactly 1 solution.
B) the system has exactly 2 solutions.
C) the system has infinitely many solutions.
D) the system has no solution.

HELLLP PLZZZZZ

Answers

Answer:

D) the system has no solution.

Step-by-step explanation:

A student is solving a system of equations by substitution and comes up with the solution -3=2.

So, the unknown variables are canceled out and there are only numbers in the equation but -3 ≠ 2.

If we assume that she solved the problem correctly, then there will be no solution for that system of equations because there is no variable remaining in the final equation to solve for. (Answer)

Factor the polynomial.
x²+6x+5

Answers

Answer: (x + 1 )(x+5)

Step-by-step explanation:

Given :

[tex]x^{2}[/tex] + 6x + 5

Compare with the general quadratic equation:

a[tex]x^{2}[/tex] + bx + c

To factorize , you are  to find two numbers that multiply to give ac , and add to give b.

After which you will re - write the middle number with those numbers.

From the given question , ac = 5[tex]x^{2}[/tex] , we are to find two numbers that will multiply to give 5[tex]x^{2}[/tex] and add to give 6x.

The numbers are 1x and 5x.

We will then replace the middle number by the two numbers , that is

[tex]x^{2}[/tex] + x + 5x + 5

x(x+1) +5( x +1)

(x+1)(x+5)

The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.



The mean is the best comparison of the measures of center.


The juniors tended to have higher essay scores than the sophomores.


The medians of both data sets are equal.


The interquartile range is the best comparison of the measure of variability.


A histogram is the best way to show that both distributions are nearly symmetric.


Answers

Answer:

B,C, and E

Step-by-step explanation:

A histogram is a graphical illustration of information in bars of diverse heights. A histogram displays the shape and spread of continuous sample data. The true statements about the data essay scores for high school sophomores and juniors in a contest are; the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal and the histogram is the best way to show that both distributions are nearly symmetric.

Answer:

bce

Step-by-step explanation:

Karli and her friend can paint 6/7 of a picture in 3/14 of an hour. How many pictures can they paint in a full hour?

Answers

Answer:

4 pictures

Step-by-step explanation:

(6/7)/(3/14)=x/1

cross product

3/14*x=6/7*1

3/14x=6/7

x=(6/7)/(3/14)

x=(6/7)(14/3)

x=(6/1)(2/3)

x=12/3

x=4

The number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that Karli and her friend can paint 6/7 of a picture in 3/14 of an hour.

Let's assume they can paint x number of pictures in a full hour.

So , the fraction by dividing 6/7 by 3/14 can be written equal to x .

i.e.,

[tex]\frac{6/7}{3/14}[/tex] = x

We need to do the cross product here :

[tex]\frac{3}{14}[/tex] × x = [tex]\frac{6}{7}[/tex]

or

x = ([tex]\frac{6}{7}[/tex]) ÷ ([tex]\frac{3}{14}[/tex])

We know that when dividing two fractions we need to change the division sign to multiplication sign by inverse the fraction value right to the division sign i.e.,

x = ([tex]\frac{6}{7}[/tex]) × ([tex]\frac{14}{3}[/tex])

x = 84 / 21

x = 4

Therefore , the number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

Learn more about algebra here :

brainly.com/question/12377332

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