Which circle has a radius that measures 10 units?


A) Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.

B) Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.

C) Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.

D) Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.

Answers

Answer 1

Answer:

  B) Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.

Step-by-step explanation:

A segment that goes through the center of the circle and that has its ends on the circle is a diameter. The radius is half the length of the diameter.

A chord through the center of circle F with a length of 20 units means circle F has a radius of 10 units.

Answer 2

Final answer:

Option B is the correct answer because it describes a line segment that passes through the center and is 20 units long, indicating it's a diameter; hence the radius is half of that, which is 10 units.

Explanation:

To determine which circle has a radius of 10 units, we need to recall that the radius is a straight line from the center of the circle to a point on its boundary. Two radii lined up end-to-end across a circle form a diameter. Therefore, a diameter is twice the length of the radius.

Option A describes a line segment of length 10, but we cannot confirm if it's a radius or a diameter without additional information.

Option B describes a line segment that goes through the center point F and is 20 units long, indicating it's a diameter. Since the diameter is twice the radius, a circle with a diameter of 20 units has a radius of 10 units.

Option C, like option A, cannot be confirmed without additional information about the line segment's relation to the center of the circle.

Option D also describes a line segment of 20 units, but again, without confirmation that it's a diameter, we cannot be sure.

Therefore, the correct answer is Option B, where the circle's diameter is explicitly mentioned to be 20 units, meaning the radius is 10 units.


Related Questions

Find the quotient. 2y/5x / y/6x

Answers

Well let us see,

[tex]\dfrac{\frac{2y}{5x}}{\frac{y}{6x}}=\dfrac{12xy}{5xy}=\color{blue}\boxed{\dfrac{12}{5}}[/tex].

Hope this helps.

Answer:

[tex] \huge \purple { \frac{12}{5} }[/tex]

Step-by-step explanation:

[tex] \huge \frac{ \frac{2y}{5x} }{ \frac{y}{6x} } \\ \\ \huge = \frac{2y}{5x} \times \frac{6x}{y} \\ \\ \huge = \frac{2}{5} \times \frac{6}{1} \\ \\ \huge \red{ = \frac{12}{5} }[/tex]

the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimeters?

Answers

Answer:

30 cm

Step-by-step explanation:

To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:

54/9 = 6

L = 9

W = 6

The perimeter is 2lw:

The answer is 30 cm

Answer:

C 30 it not it 34

Step-by-step explanation:

just did it

At 7am you drink a 12-ounce cup of coffee which has 140mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. How many milligrams of caffeine is in your body after 2 hours? Group of answer choices 136.4 106.2 178.4 33.8

Answers

Answer:

B. 106.2

Step-by-step explanation:

We have been given that at 7 am you drink a 12-ounce cup of coffee which has 140 mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. We are asked to find the milligrams of caffeine left in your body after 2 hours.

We will use exponential decay formula to solve our given problem.

[tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = Time.

Let us convert 12.9% in decimal form.

[tex]12.9\%=\frac{12.9}{100}=0.129[/tex]

Initial value is 140 mg.

[tex]y=140\cdot (1-0.129)^x[/tex]

[tex]y=140\cdot (0.871)^x[/tex]

Now we will substitute [tex]x=2[/tex] in our equation as:

[tex]y=140\cdot (0.871)^2[/tex]

[tex]y=140\cdot (0.758641)[/tex]

[tex]y=106.20974\approx 106.2[/tex]

Therefore, approximately 106.2 milligrams of caffeine will be in your body after 2 hours.

A certain appliance uses w watts to run. If you run it for m minutes, and the cost per kilowatt-hour is c, the cost of running the appliance for m minutes is given by the formula (w(m/60))/1000 c. Find the cost of running an appliance that requires 500 watts for 25 minutes at a cost of $0.125 per kWh.

Answers

Answer:

The cost for this appliance is $0.02604

Step-by-step explanation:

In order to solve this problem we need to apply the appliance's values to the provided formula as shown bellow:

cost = {[w*(m/60)]/1000}*c

cost = {[500*(25/60)]/1000}*0.125

cost = {[12500/60]/1000}*0.125

cost = {208.4/1000}*0.125

cost = 0.2084*0.125 = 0.02604

The cost for this appliance is $0.02604

Answer:

$1.68

Step-by-step explanation:

If the function modelled for finding the cost of running the appliance for m minutes is given by the formula (w(m/60))/1000 c, and the following datas are given:

W = 500watts

m = 25minutes

c = cost per kWhr = $0.125

Cost of running an appliance that requires 500 watts for 25 minutes at a cost of $0.125 per kWh will be gotten by substituting the given data in the modelled function.

C= {500(25/60)}/1000 (0.125)

C =(500×0.42)/125

C = 210/125

C = $1.68

The cost of running the appliance will be $1.68

urgent help! can someone answer these questions for me?

Answers

Answer:

she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people

a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?

Answers

Answer:

6  = white marbles

4  = black marbles

10 =  total marbles

6/10 - Pulling white marbles

4/10 - Pulling black marbles

10 - 4 = 6

2/6 - Pulling two white marbles

2/6 = 1/3 = 0.33 or 33%

I hope this helped!

The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

Given that

There are 6 white marbles.There are 4 black marbles.The total marbles are 10.

Now based on the above information

Put white marbles be [tex]\frac{6}{10}[/tex]

And, black marbles be [tex]\frac{4}{10}[/tex]

So,

= 10 - 4

= 6

Now pull two white marbles i.e.

[tex]= \frac{2}{6} \\\\= \frac{1}{3}\\\\= 33\%\ or\ 0.33[/tex]

Therefore we can conclude that The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

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Please... I need help! ​
Some one to explain me plz

Answers

What am I supposed to be helping with the picture you took is only showing examples

Answer:

See below where I explain line by line.

Step-by-step explanation:

If two lines are parallel, their slopes are equal.

Look at line 1: Both lines have slope 1/2. Since both slopes are 1/2, the slopes are equal, and the lines are parallel.

Look at line 7: slope 4/8, slope 1/2. Reduce 4/8. It reduces to 1/2. Both lines have slope 1/2. The lines have equal slopes, so they are parallel.

If two lines are perpendicular, then their slopes are opposite reciprocals. Reciprocals are two numbers that when when written as a fraction, when you flip one, you get the other. For example, 4/5 and 5/4. They are reciprocals because is you flip 4/5, you get 5/4. For two lines to be perpendicular, their slopes need to be reciprocals and opposites. That means their signs must be different (one positive and one negative) in addition to being reciprocals. For example, two lines with slope 5/8 and -8/5 are perpendicular since the slopes are both reciprocals and opposites.

Look at line 2: -2/3 and 3/2. If you flip -2/3, you get -3/2. The opposite of -3/2 is 3/2. That means each slope is the opposite reciprocal of the other, so they are perpendicular.

Line 5: slope 4, slope -1/4. Write 4 as a fraction. Now you have 4/1. Flip 4/1 to get 1/4. Then make it the opposite, -1/4. The second line does have slope -1/4, so they are perpendicular.

Line 6: slope -1/6, slope 6. Flip -1/6. You get -6/1. Find its opposite: 6/1. 6/1 is the same as 6. That means that -1/6 and 6 are opposite reciprocals and the lines are perpendicular.

Lines that are neither parallel nor perpendicular.

Look at line 3: 5/2 and 2/5. If you flip 5/2, you get 2/5. The slopes are reciprocals, but they are not opposites since they are both positive. The lines are not perpendicular. Also 5/2 is not equal to 2/5, so the lines are not parallel either.

Look at line 4: slope -3; slope -1/3. Start with -3. Write it as a fraction: -3/1. Now flip it: -1/3. Now find its opposite: 1/3. If the slopes were -3 and 1/3, the lines would be perpendicular because they'd be reciprocal and opposite. The second slope is -1/3, not 1/3, so they are not opposite, and the lines are not perpendicular. Also, -3 and -1/3 are not equal, so the lines are also not parallel.

Two dice are rolled, and the results are summed find the probabilty of rolling an odd sum less than 9

Answers

Answer:

You can have 11 outcomes:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36

Step-by-step explanation:

try this i think this is the answer i looked it up

Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)

9mn^2
7m^4n^2
3m^2n^5

Answers

So the answer is 3m^2n^5

Final answer:

To find the quotient of ([tex]36m^5n^5 \div 12m^3[/tex]), divide the numerical coefficients and subtract the exponents for each variable base. The correct quotient is [tex]3m^2n^5[/tex], which corresponds to option 3.

Explanation:

Divide the numerical coefficients: 36 ÷ 12 = 3.

Subtract the exponents of the variables with the same base (m): 5 - 3 = 2.

Subtract the exponents of the variables with the same base (n): 5 - 0 = 5.

Therefore, the quotient is 3m2n5, which matches option 3: [tex]3m^2n^5[/tex].

What is the value of B Image below

Answers

it is 61 degrees bec u j add them then subrteact that by 189
The answer is 61.......

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot(t/2), [π/4, 7π/4]

Answers

Final answer:

To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.

Explanation:

To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.

To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).

Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.

The endpoints of the interval are π/4 and 7π/4.

Now we evaluate the function f at the critical points and endpoints:

f(π/4) = 9(π/4) + 9cot(π/8) ≈ 6.566f(π) = 9π + 9cot(π/2) = 9πf(3π) = 9(3π) + 9cot(3π/2) = 27πf(7π/4) = 9(7π/4) + 9cot(7π/8) ≈ 46.607

From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.

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(09.01 MC)
Two quadratic functions are shown.
Function 2:
Function 1:
f(x) = 2x2 - 8x + 1
|x
g(x)
1
17
Which function has the least minimum value and what are its coordinates? (5 points)
Function 1 has the least minimum value and its coordinates are (0, 1).
Function 1 has the least minimum value and its coordinates are (2. - 7).
Function 2 has the least minimum value and its coordinates are (0,2).
Function 2 has the least minimum value and its coordinates are (-1.-3).

Answers

Answer:

Function 1 has the least minimum value and its coordinates are (2. - 7).

Step-by-step explanation:

The first function is

[tex]f(x)=2x^{2} -8x+1[/tex]

The second function is

x   g(x)

-2    2

-1    -3

0     2

1     17

The vertex has coordinates of [tex]V(h,k)[/tex], where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].

Let's find the vertex for the first function where [tex]a=2[/tex] and [tex]b=-8[/tex].

[tex]h=-\frac{-8}{2(2)}=2[/tex]

[tex]k=f(2)=2(2)^{2} -8(2)+1=8-16+1=-8+1=-7[/tex]

Therefore, the vertex of the first function is at [tex](2,-7)[/tex].

Now, the minimum value of the second function can be deducted from its table, which is [tex](-1,-3)[/tex].

Therefore, [tex]f(x)[/tex] has -7 as minimum value and [tex]g(x)[/tex] has -3 as minimum vale.

So, the right answer is B, because -7 is less than -3.

Sophia creates a blog about food specialties and how to make them at home. In one session she shares a recipe from her grandmother in Italy about making genuine Neapolitan pizza. In the blog, she inserts various links to products she has for sale, like pizza peels, tomato sauce, etc. This is an example of effective _________.

Answers

Answer:

inbound marketing

Step-by-step explanation:

Final answer:

The case of Sophia inserting links to products she sells within her food blog is an example of affiliate marketing. With this strategy, Sophia can generate revenue each time a reader makes a purchase through a link on her blog.

Explanation:

Sophia's action of incorporating links to products that she has for sale within her blog about food specialties is an example of effective affiliate marketing. In affiliate marketing, an individual recommends products to their audience, and earns a commission on any sales that come from their referrals. By integrating these product links in her blog post, Sophia can generate revenue each time a reader clicks on the link and purchases the product. This allows her to monetize her blog in an easy and effective way.

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I need help ! It’s due today

Answers

Answer:we have the same thing,

Step-by-step explanation:medium,from end to middle

Answer:

Please give Branliest

1. minimum = 3

maximum = 9

median = 7

2. minimum = 8

maximum = 24

median = 15

3. minimum = 21

maximum = 40

median = 28

lower quartile =26

upper quartile = 24

Step-by-step explanation:

minimum is the lowest number in the set

maximum the highest number

to find the median, line the numbers up in order, and find the number in the middle that is the median

quartiles are the medians or middles of the numbers above the median or bellow

for example 21 26 27 28 33 34 40

the quartiles are 26 and 34

Find the indicated probability. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh.

Answers

Answer:

p=0.1971

Step-by-step explanation:

-Let X be the normally distributed random variable with mean=1050kWh and standard deviation=218kWh.

-We use the z-test to test for the probability of mean consumption being between 1100kWh and 1225kWh as:

[tex]P(1100<X<1225)=P(\frac{1100-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{1225-\mu}{\sigma})\\\\=P(\frac{1100-1050}{218}<Z<\frac{1225-1050}{218})\\\\=P(0.2294<Z<0.8028)\\\\=P(Z<0.8028)-P(Z<0.2994)\\\\=0.7881-0.5910\\\\=0.1971[/tex]

Hence, the probability of mean consumption being between 1100 and 1225kWh is 0.1971

Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.


I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.

Answers

Answer:

a. is B b. is D

Step-by-step explanation:

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

What is the area of the octagon, rounded to the nearest square inch?

Answers

Answer: 331.5 inches²

Step-by-step explanation:

To solve for the area of a regular octagon, we can use the formula that is shown below:

Area = 1/2 × apothem × perimeter

In this problem, we have been given the following values:

Apothem = 10 inches

Perimeter = 66.3 inches

To solve for the area,

Area = 1/2 × apothem × perimeter

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²

victor wants to buy fertilizer for his yard. the yard measures 45 feet by 50 feet. the directions on the bag of fertilizer says that one bag will cover 1,220 sq ft. how many bags of fertilizer should victor buy to be sure that he cover the entire yard

Answers

Answer:

He'll need 2 bags to cover his yard.

Step-by-step explanation:

To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:

yard area = length*width

yard area = 45*50 = 2250 square feet

Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:

number of bags = yard area/ bag area = 2250/1220 =1.84

Since he can't buy 0.84 bags we will round the number of bags to 2.

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? (1, −2) (1, 3) (−4, −2) (−4, 3)

Answers

Answer:

Step-by-step explanation:

1,3

Complete the expressions to find the perimeter P of a rectangle that is 9 inches long by 4 inches wide. P=2l+2w =2⋅9+2⋅ ( ) =( )+( ) =( )in. AKA. ( ) = blank

Answers

Answer:

[tex]P= 26\text{ inches}[/tex]

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangle:

Length of rectangle,l = 9 inches

Width of rectangle, w = 4 inches

Perimeter of rectangle =

[tex]P= 2l + 2w[/tex]

Putting values, we get,

[tex]P= 2(9) + 2(4)\\P= (18) + (8)\\P= 26\text{ inches}[/tex]

Thus, the perimeter of rectangle is 26 inches.

a painter can paint 20 windows in one day. If he has to paint 50 pairs of windows how much time will he take to paint

Answers

The painter would take 25 days to paint 50 pairs of windows, given that he can paint 20 windows in 5 days.

To solve this problem, we first need to find out how many windows are in 50 pairs of windows.

Since each pair consists of 2 windows, 50 pairs would mean 50 x 2 = 100 windows.

Now, if the painter can paint 20 windows in 5 days, we can find out how many days it would take him to paint 100 windows using a proportion:

20 windows ------- 5 days

100 windows ------ x days

We can set up the proportion:

20/5 = 100/x

Now, cross multiply:

20x = 5 x 100

20x = 500

Now, divide both sides by 20 to solve for x:

x = 500 / 20

x = 25

So, it would take the painter 25 days to paint 50 pairs of windows.

Complete Question:

A painter can paint 20 windows in 5 days.If he has to paint 50 pair of windows,how many much time will he take to paint them?​

A company has two large computers. The slower computer can send all the company's email in 35 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job

Answers

It takes 10.5 minutes for both the computers to do the work by working together

What is a Fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given data ,

The time for which the slower computer can send all the mails = 35 minutes

The time for which the faster computer can send all the mails = 15 minutes

So ,

The slower computer can complete the work in = 1 / 35 min

The faster computer can complete the work in = 1 / 15 min

Let the total work done by both computers together be = W

The total work completed when both the computers work together is 1 / W =
The work completed by slower computer + The work completed by slower computer

The total work completed when both the computers work together 1 / W =
1 / 35 +  1 / 15

And ,

1 / W = 1 / 35 +  1 / 15

1 / W = 10 / 105

Taking reciprocals , we get

W = 105 / 10

W = 10.5 minutes

Hence , The time taken by both the computers to do the work together is 10.5 minutes

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Final answer:

To find the combined time for two computers to complete a job, calculate their work rates individually and add them up.

Explanation:

To solve this problem, we can use the concept of work rates.

Calculate the work rate of each computer:

Slower computer's work rate = 1 job / 35 minutes = 1/35 job per minute

Faster computer's work rate = 1 job / 15 minutes = 1/15 job per minute

When both computers work together:

Total work rate = 1/35 + 1/15 = 5/105 + 7/105 = 12/105 jobs per minute

Calculating the time taken:

Time taken = 1 job / Total work rate = 105 / 12 = 8.75 minutes

Therefore, both computers working together will complete the job in 8.75 minutes.

  A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches. What is the area of the figure shown?

Answers

Answer:

The Area is 65

Step-by-step explanation: Hope this helps!

Answer:

65

Step-by-step explanation:

got it

PLEASE HELPPPP!!!!!!!

Rectangle QRST has points at these coordinates:
Q(-9,2), R (1,2), S (1,-2), and T (-9,-2).
What is the length of QT? ​

Answers

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

Answer:

4

Step-by-step explanation:

Q and T are on the same line.

-9 is the x value for both points.

All you are left with is the distance between -2 and 2.

Subtract and take absolute value if you come up with a negative answer.

2 - -2 = 4

Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Each side of the pentagon is 15 feet long

Answers

Answer: he should buy 3 bags

Step-by-step explanation:

In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as

Area = (perimeter × apotherm)/2

The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is

Apotherm = S/2tan(180/n)

Where

S = side length of the polygon

n = number of sides of the polygon.

From the information given,

S = 15 feet

n = 5

Apotherm = 15/2tan(180/5) = 10.3 ft

Perimeter = side length × number of sides

Perimeter = 15 × 5 = 75 ft

Therefore,

Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²

A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is

386.25/150 = 2.575 bags

He should buy approximately 3 bags

The monthly cost of a certain long distance service is given by the linear function y=0.08x+ 8.95 where Y is in dollars and X is the amount of time in minutes called in a month. Find and interpert the slope and y-intercept of the linear equation

Answers

Answer:3747

Step-by-step explanation:

Final answer:

The slope of the linear function y=0.08x+8.95 is 0.08, indicating the cost increases by $0.08 per minute. The y-intercept is 8.95, representing the monthly flat fee of $8.95 when no calls are made.

Explanation:

The linear function given is y=0.08x+8.95, where y represents the monthly cost in dollars and x represents the number of minutes called in a month. In this equation, the slope is 0.08 and it represents the rate at which the cost increases per minute of call time. The y-intercept is 8.95, which is the base cost of the service when no minutes have been used.

The interpretation of the slope is as follows: for each additional minute of call time, the cost increases by $0.08. The interpretation of the y-intercept is that even if no calls are made in a month, the service will still cost $8.95, reflecting a flat monthly fee.

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In magic squares, each row,
column, and diagonal adds up
to the same number. Complete
the magic square. Use each
number 1-9 only once.

Answers

Answer:

middle square top row =9 middle row left square= 7   middle row right square=3 bottom row left square =6 bottom row middle square 1

Step-by-step explanation:

every row = 15 so just start with the rows and columns that only need one square until you've filled it in enough that every row needs one and the solve from there

A magic square consists of a grid of numbers where each row, column, and diagonal add up to the same total. For a 3x3 magic square using numbers 1 through 9, this total is 15. Possible solutions include the rotations of the groupings 9, 5, 1 and 6, 2, 7.

A magic square is a grid of numbers where the values in each row, column, and diagonal add up to the same total. The key to solving such a puzzle is understanding that total. Since we are using the numbers 1 through 9, the total sum of these numbers is 45; because there are 3 rows (or columns or diagonals) in a 3x3 grid, each must add up to 15.

The only way to get 15 with three numbers in the 1-9 range is to either group 9, 5, and 1 or their rotations (such as 5, 1, 9 or 1, 9, 5) or use 6, 2, and 7 or their rotations. This leads to the following magic square:

8 1 6

3 5 7

4 9 2

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RAMON SELLS CARS AND TRUCKS HE HAS ROOM ON HIS LOT FOR 521 VEHICLES. Ramon has 175 more more cars than trucks. How many of each vehicles should he have

Answers

Answer: he should have 348 cars and 173 trucks.

Step-by-step explanation:

Let x represent the number of cars that he should have.

Let y represent the number of trucks that he should have.

He has room on his lot for 521 vehicles. It means that

x + y = 521- - - - -- - - - -1

Ramon has 175 more more cars than trucks. It means that

x = y + 175

Substituting x = y + 175 into equation 1, it becomes

y + 175 + y = 521

2y = 521 - 175 = 346

y = 346/2

y = 173

x = y + 175 = 173 + 175

x = 348

Final answer:

To determine the number of cars and trucks on Ramon's lot, two equations were formed: T + C = 521 and C = T + 175. Solving these equations simultaneously, it was found that Ramon should have 173 trucks and 348 cars.

Explanation:

Ramon's Car and Truck Problem

Let us define the number of trucks Ramon has as T and the number of cars as C. According to the problem, Ramon has room for 521 vehicles on his lot. The problem states that Ramon has 175 more cars than trucks, so we can express this as C = T + 175.

We know the total number of vehicles Ramon can have is 521, which leads us to the following equation: T + C = 521. Substituting the first equation into the second, we get T + (T + 175) = 521. Simplifying, 2T + 175 = 521. Subtracting 175 from both sides, 2T = 346. Dividing by 2, we find that T = 173. This means Ramon has 173 trucks on his lot.

Now, we substitute the value of T back into the equation for C: C = 173 + 175, which equals 348. So, Ramon should have 348 cars and 173 trucks on his lot.

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?

Answers

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]

The equation of symmetry at the parabola's vertex is x=h

Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

In this case,

[tex]h=\dfrac{3+9}{2}=6[/tex]

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]

The x-coordinate of the parabola is calculated as:

[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]

So, we have:

[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]

[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]

Simplify

[tex]\mathbf{x = 6}[/tex]

Hence, the x-coordinate of the vertex is 6

Read more about vertex at:

https://brainly.com/question/20209326

A computer chooses a random number
from 1 to 50. What is the probability of
you guessing the same number that the
computer chooses in 1 try?

Answers

Answer:

2% or less likely

Step-by-step explanation:

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