The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actual stadium is 1:232. What is the distance from home plate to left field in the actual stadium to the nearest foot?

Answers

Answer 1

Answer:

317

Step-by-step explanation:

Since the ratio is 1:232, multiply 232 by 16.4:

[tex]232*16.4=d[/tex]

[tex]d=3804.8 in[/tex]

Divide by 12 to find the feet

[tex]3804.8[/tex]÷[tex]12=d[/tex]

[tex]d=317.066[/tex]

Round to the nearest foot

[tex]d=317[/tex]

Answer 2

Final answer:

To find the actual stadium distance from home plate to left field, convert 16.4 inches to feet and then multiply by the scale factor of 232, resulting in approximately 317 feet.

Explanation:

The student is asking how to convert a scale model measurement to the actual size measurement. Given the scale of 1:232 and the model's distance from home plate to left field as 16.4 inches, we can find the actual stadium distance by multiplying the model measurement by the scale factor.

First, convert inches to feet: 16.4 inches × (1 foot / 12 inches) = 1.3666667 feet (rounded to seven decimal places).

Then multiply by the scale factor to get the distance in the actual stadium: 1.3666667 feet × 232 = 317.0666674 feet, which we round to 317 feet to the nearest foot.

Therefore, the distance from home plate to left field in the actual stadium is approximately 317 feet.


Related Questions

Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm centimeters?

Answers

Final answer:

The lengths of the sides corresponding to DE and DF in triangle ABC are 3.75cm and 5cm respectively as triangles DEF and ABC are similar and their sides are in proportion.

Explanation:

Since triangles DEF and ABC are similar, then their corresponding side lengths are proportional. This means the ratio of the lengths of corresponding sides in both triangles remains constant.

Therefore, the lengths of the corresponding sides in triangle ABC will be in the same ratio as that of the sides in triangle DEF. Since we know the lengths of sides DE and DF in triangle DEF are 6cm and 8cm respectively, we can conclude that the lengths of the sides corresponding to DE and DF in triangle ABC will be in the same ratio as 6 and 8.

The ratio of 6 and 8 can be simplified to 3:4. Therefore, given that the length of side EF in triangle ABC is 5cm, we can apply cross-multiplication to find the lengths of the other sides. For example, using the ratio 3:4 to find the length corresponding to DE in triangle ABC, we would get 5/4 * 3 = 3.75cm. Similarly, "for DF we would get 5/4 * 4 = 5cm".

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The lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively.

Since triangle DEF is similar to triangle ABC, the corresponding sides of both triangles are proportional. This means that the ratio of any two corresponding sides in the two triangles will be the same. Let's denote the lengths of the corresponding sides in triangle ABC as follows: side AB corresponds to DE, side BC corresponds to EF, and side AC corresponds to DF.

Given that EF is 5 cm, we can set up the following proportion using the corresponding sides of the two triangles:

[tex]\[\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}\][/tex]

We know the lengths of DE and DF, so we can express the lengths of AB and AC in terms of the lengths of DE and DF, using the proportion:

[tex]\[\frac{6}{AB} = \frac{5}{BC} = \frac{8}{AC}\][/tex]

From the proportion, we can solve for AB and AC:

[tex]\[AB = \frac{6}{5} \times BC\][/tex]

[tex]\[AC = \frac{8}{5} \times BC\][/tex]

Since we do not have the actual length of BC, we cannot determine the exact lengths of AB and AC. However, we can express them in terms of BC, the corresponding side in triangle ABC. If BC is known, we can simply multiply it by the respective ratios to find AB and AC.

In conclusion, the lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively, and the lengths of the corresponding sides AB and AC in triangle ABC can be calculated once the length of BC is known, using the ratios derived from the similarity of the triangles.

A rectangle has a height of 7 and a width of 2x^2 - 3.


Please help

Answers

Answer:

14x² - 21

Step-by-step explanation:

In order to expand the expression, you simply need to multiply 7 by 2x², then by -3.

2x² × 7 = 14x²

-3 × 7 = -21

Therefore, the area of the entire rectangle is 14x² - 21 (you will not need to solve for x, as there is no way to do that without knowing the area first).

The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5. True or false?

Answers

Answer:

Here is the complete question:

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ [tex]c+d=270[/tex]   ...equation (i)

Arranging the ratio:

⇒ [tex]\frac{4}{5} = \frac{d}{c}[/tex]

⇒ [tex]4c=5d[/tex]

⇒ [tex]c=(\frac{5}{4})d[/tex]    ...equation (ii)

Plugging (ii) in equation (i).

⇒ [tex]c+d=270[/tex]

⇒ [tex]\frac{5}{4} d+d=270[/tex]

⇒ [tex]\frac{5d+4d}{4} =270[/tex]

⇒ [tex]9d=270\times 4[/tex]

⇒ [tex]d=\frac{270\times 4}{9}[/tex]

⇒ [tex]d=120[/tex]

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ [tex]\frac{4}{5} \times 150[/tex]

⇒ [tex]\frac{4\times 150}{5}[/tex]

⇒ [tex]120[/tex]

Statement is true.

b.

4/5 of the pets at the farm are dogs.

[tex]\frac{4}{5} \times 270[/tex]

[tex]216[/tex]

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

[tex]c-d =30[/tex]

[tex]150-120=30[/tex]

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

[tex]\frac{5}{9} \times 270[/tex]

[tex]150[/tex]

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

James has to fill 40 water bottles for the team. Each bottle holds 500 millimeters of water. How many liters of water does James need in all?

Answers

Answer:

20 liters of water

he will need 20 liters of water

Step-by-step explanation:

if james has 40 bottles that hold 500 milliliter then he needs 20,000 milliliters of water or 20 liters. :)

Answer:

Step-by-step explanation:

Selena spends $53.94 to buy a necklace and a bracelet set for each of her friends. Each necklace cost 9.99, and each bracelet costs 7.99. How many necklace and bracelet sets, s, did selena buy?

Answers

Answer:

3 sets

Step-by-step explanation:

each set is 17.98 (adding necklace and bracelet)

Total is 53.94

dividing 53.94 (amount spent) by 17.98 (cost of set)

Results in 3 sets

Answer:

She bought 3 necklace and bracelet sets

If i can be brainliest that would be great

Step-by-step explanation:

Each set contains a necklace and a bracelet

∵ Each necklace cost $9.99

∵ Each bracelet cost $7.99

∴ The cost of one set = (9.99 + 7.99)

∵ She spent on them $53.94

- Add the cost of a necklace and the cost of a bracelet and

 multiply the sum by x  and then equate the product by 53.94

∴ (9.99 + 7.99)x = 53.94

∴ 17.98 x = 53.94

- Divide both sides by 17.98

∴ x = 3

If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is

Answers

Answer:

16.97056275

Step-by-step explanation:

12 squared + 12 squared = 288

square root of 288 = 16.97056275

The measure of the hypotenuse of an isosceles triangle with equal sides measureing 12 units is 16.97 units

What is an isosceles triangle?

An isosceles triangle is a triangle that has two of its sides equal to each other . The base angle is also equal to each other.

The isosceles triangle is a right triangle. Since, one of the leg is 12 units, the other leg is also 12 units.

Using pythagora's theorem,

c² = a² + b²

c = √12² + 12²

c = √144 + 144

c  = √288

c = 16.9705627485

c = 16.97 units

Therefore, the length of the hypotenuse is 16.97 units.

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This scatterplot and regression line below show the relationship between the average rent for a 111-bedroom apartment in New York and the number of years after the year 200020002000.
The fitted line has a yyy-intercept of 800800800.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
On average, the rent of a 111-bedroom apartment in New York increases by 800800800 dollars each year.

(Choice B)
B
The average rent for a 111-bedroom apartment in New York is approximately 800800800 dollars.

(Choice C)
C
The model indicates that 111-bedroom apartments in New York had an average rent of approximately 800800800 dollars in 201020102010.

(Choice D)
D
The model indicates that 111-bedroom apartments in New York had an average rent of 800800800 dollars in 200020002000.
A graph plots Average rent, in dollars per month, from 0 to 1200, in increments of 100, versus Years after 2000, from 0 to 12, in increments of 2. 14 points rise diagonally in a single file cluster between (0, 800) and (12, 1290). A regression line rises diagonally through the center of the cluster from (0, 800) to (12.5, 1300). All values estimated.

Answers

Answer:

  D  The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

Step-by-step explanation:

The y-axis of the graph represents the year 2000. The value on that axis represents the rent for a 1-bedroom apartment. So, the y-intercept of 800 means ...

  1-bedroom apartments in New York had an average rent of 800 dollars in 2000

The best interpretation of this y-intercept is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Thus, y-intercept of y = f(x) is y = f(0)

In this case, x be the number of years after the year 2000.

Then we can show that x = 0, represents the year 2000 itself.

Now, the y-intercept is the value of y when we have x = 0.

So, the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.

The information that we can conclude with this is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

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Barbara Butler is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was butlers pay for the week?

Answers

Final answer:

Barbara Butler's pay for the week can be calculated by multiplying the total number of tables she assembled by the payment rate per table. The formula for total pay is Total Pay = Number of Tables × Pay Rate per Table.

Explanation:

Barbara Butler's pay for the week:

Number of tables she assembled = Total of tables assembled

Butler's total pay = Number of tables assembled x Payment per table

Calculation:

Assuming she assembled:

Table 1: 5 tables

Table 2: 7 tables

Table 3: 11 tables

Butler's pay for the week = (5 + 7 + 11) x $6.39

Butler's pay for the week = $108.66

Which of the following describes the probability distribution below? A probability distribution is shown. The probability of 1 is 0.75; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0. The mean is greater than the median, and the majority of the data points are to the left of the mean. The mean is greater than the median, and the majority of the data points are to the right of the mean. The median is greater than the mean, and the majority of the data points are to the left of the mean. The median is greater than the mean, and the majority of the data points are to the right of the mean.

Answers

Answer:

I also think it is A.

Step-by-step explanation:

This is because the mean will be pulled towards the skewed side. Causing,  the mean become greater than the median. Also, most of the Data points are to left side of the graph. Therefore, making the answer A.

Please mark me the brainliest.

The answer choice which describes the probability distribution below is:

The mean is greater than the median, and the majority of the data points are to the left of the mean

What is Probability Distribution?

This refers to the way in which probabilities are distributed over values of a random variable.

With this in mind, we can see that based on the fact that the mean will be pulled towards the skewed side. then there would be a disproportionate value between the mean and the median so that the majority of the data points are to the left of the mean

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What is the best approximation for the input value when
f(x)=g(x)?
0.0
0.5
1.5
3.0

Answers

Answer: C.1.5

This is the correct answer so i hope it helps.

Answer:

C.1.5

just took on eg

| Linus has 100 ft of fencing to
use in order to enclose a 1200
square foot rectangular pig pen.
The pig pen is adjacent to a
barn so he only needs to form
three sides.
I can determine the
dimensions of the fence,
showing my steps.​

Answers

Answer:

[tex]20 ft\times 60 ft[/tex] or [tex]30ft\times 40ft[/tex]

Step-by-step explanation:

We are given that

Total fencing used=100 ft

Area enclosed=1200 square ft

Let length of rectangular pig pen=x

Breadth of rectangular pig pen=y

Fencing used=2x+y

[tex]100=2x+y[/tex]

[tex]y=100-2x[/tex]

Area of rectangular pig pen=[tex]xy=x(100-2x)[/tex]

[tex]1200=100x-2x^2[/tex]

[tex]2x^2-100x+1200=0[/tex]

[tex]x^2-50x+600=0[/tex]

[tex]x^2-20x-30x+600=0[/tex]

[tex]x(x-20)-30(x-20)=0[/tex]

[tex](x-20)(x-30)=0[/tex]

[tex]x=20[/tex]

[tex]x-30=0\implies x=30[/tex]

When x=20ft

[tex]y=100-2(20)=60[/tex]ft

When x=30 ft

[tex]y=100-2(30)=40[/tex]ft

Dimension of fence is give  by

[tex]20 ft\times 60 ft[/tex] or [tex]30ft\times 40ft[/tex]

HELP ASAP ROCKY!!!!!!
What is the median of the data in this stem-and-leaf plot? 31.0 31.5 32.0 32.5 Untitled Stem and leaf plot. Vertical line separates each stem number from its first leaf number. First row. Stem 2. Leaves 6, 7, 7. Second row. Stem 3. Leaves 0, 2, 3, 3, 4. Third row. Stem 4. Leaves 0, 5. Key. 3 vertical line 0 means 30.

Answers

Answer:

32.5

Step-by-step explanation:

there are 4 rows

1  = 3

2 =  5

3 =  2

so there is 10 numbers

We go for the middle number which is 2-3 so the answer must be 32.5.

We know it is between 2-3 as the same as 1-10

1,2,3,4,5, ------ 6,7,8,9,10

So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11  then 11/2 = 5.5  - this means 5.5 = 32.5 as 33 would be the 6.

Answer:

32.5

Step-by-step explanation:

I took the test c:

Convert the angle 0 = 290° to radians.
Express your answer exactly.
0 =
radians

Answers

Answer:

[tex]\frac{290}{180}\pi[/tex]

Step-by-step explanation:

To convert from degrees to radians you multiply by [tex]\frac{\pi}{180}[/tex]

The exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.

How to convert angle from degree to radians?

To convert a given angle from degrees to the radians, we will multiply by [tex]\dfrac{\pi }{180}[/tex].

The given degree measure is 290°

Its radian equivalence is

[tex]\dfrac{\pi }{180} \times 290\\ \\= \dfrac{290\pi }{180}[/tex]

Therefore the exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.

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Write the unit rate for 5 revaluations in 50 seconds

Answers

Final answer:

The unit rate for 5 revaluations in 50 seconds is 1 revaluation per 10 seconds.

Explanation:

To find the unit rate, divide the number of revaluations by the number of seconds. In this case, the unit rate is 5 revaluations per 50 seconds. To simplify this, divide both numbers by 5 to get 1 revaluation per 10 seconds. So, the unit rate is 1 revaluation per 10 seconds.

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1 Point
The area of a rectangle with width x and length 6x is 6x2. What does the
coefficient 6 mean in terms of the problem?
O
A. The total area of the square is 6.
O
B. The length iş 6.
O
C. The length is 6 times the width.
O
D. The width is 6 times the length.

Answers

Answer:

C. The length is 6 times the width.

Step-by-step explanation:

Hope it helps you in your learning process.

Solve the inequality.
y − 3 ≥ −5

Answers

Answer:

y≥−2

Step-by-step explanation:

Answer:

y _> -2

Step-by-step explanation:

you add 3 to both sides which leaves you with -2

1/2x -2 =3 solve plZ

Answers

Answer:

x = 10

Step-by-step explanation:

1/2 x - 2 = 3

1/2 x = 3 + 2

1/2 x = 5

x = 5 / (1/2)

x = 10

A woman put $580 into a savings account. she used 25% of that amount to take a trip . How much money was used to take the trip?

Answers

Answer:

145 dollars

Step-by-step explanation:

Answer: 145

Step-by-step explanation:

bruh literally 580 times 25% on a calc

Classify the quadrilateral. Then find the value(s) of the variable(s).​

Answers

Answer:

D

Step-by-step explanation:

The shape we see is a kite.

The measures of the triangles must add to 180°.

27 + 90 + x = 180°

117 + x = 180°

x = 63°

3 = 63°

We can also solve for 1 and 2. 2 is a right angle so 90° and 1 is a reflection of the 27° angle on the other side, so it also is 27°.

1 = 27°  2 = 90°  3 = 63°

I'm always happy to help :)


Truncate the decimal expansion of
6
to find the best approximation.
A) 1.8 <
6
< 1.9
B) 1.80 <
6
< 1.85
C) 1.81 <
6
< 1.82
D) 1.82 <
6
< 1.83

Answers

Truncate the decimal expansion of √3.6 is  1.89.

The correct option is A.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

An expression,

decimal number √3.6.

The value of √3.6 = 1.8973.

From the given choices:

It will lie between,

1.8 < √3.6< 1.9

Therefore, 1.8 < √3.6 < 1.9.

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The complete question:

Truncate the decimal expansion of √3.6 to find the best approximation.

A)1.8 < √3.6< 1.9

B)1.80 < √3.6< 1.85

C)1.81 < √3.6< 1.82

D)1.82 < √3.6 < 1.83

10. For an art project, Shani cuts a 90°
angle out of a circle. Which fraction
of the circle does she cut out?

Answers

Answer:

1/4

Step-by-step explanation:

There are 360 degrees in a circle and we have 90 degrees

90/360 = 1/4

Answer:

1/4

Step-by-step explanation:

There are 360 degrees in a circle.

The part she cut out was 90/360

That can be simplified to 1/4.

Therefore, Shani cut out 1/4 of the circle.

7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *

Answers

Final answer:

The probability of first drawing a ball numbered 9 and then drawing a ball numbered 3, with each ball being returned to the box between draws, is 1 in 225.

Explanation:

The question is about calculating the probability of two specific events occurring consecutively when drawing billiard balls from a box that contains numbers 1 through 15. We focus on the probability of first drawing a ball numbered 9 and then, after returning it, drawing a ball numbered 3. Since each ball is returned to the box before the next draw, the number of possible outcomes does not change between draws.

For the first draw, the probability of drawing a 9 is 1 out of 15 (since there is one '9' ball and 15 total balls). When the 9 ball is returned, the probability of drawing a 3 on the second draw is also 1 out of 15. Because these two events are independent (the outcome of the second draw does not depend on the outcome of the first), we multiply the probabilities of each event to find the overall probability of both events occurring:

Probability of drawing a 9 and then a 3 = (1/15) * (1/15) = 1/225.

This means there is a 1 in 225 chance of drawing a 9 followed by a 3 when both balls are returned to the box in between draws.

What is the parent function of
NEED HELP ASAP!!

Answers

y= (1/2)^x hope this helps :)
Y=(1/2) x I’m pretty sure

Gracie can do a 4-foot long jump. How many jumps will she have to do in order to jump a total of 8 yards?
Pls help will give BRAINLIEST!!!

Answers

Answer

I think it would be 8 jumps, might not be correct though.

Step-by-step explanation:

1 yard = 3 foot

There is already 3 foot inside of 4 foot so you just keep adding until you hit 8 yards.

whats the theoretical probability of rolling a 5 on a normal dice?

Answers

Answer:

1/6

Step-by-step explanation:

A "normal" dice is considered to have 6 sides

6 numbers

10/36 = (27.778%)

Hope this helps you !!!!!

Have a nice day/night

A minivan is purchased for $29,248. The value of the vehicle depreciates over time.

Describe the advantages and disadvantages of using a linear function to represent the depreciation of the car over time.
Describe the advantages and disadvantages of using an exponential function to represent the depreciation of the car over time.

The minivan depreciates $3,000 in the first year. Write either a linear or exponential function to represent the value of the car x years after it was sold.
Read another student’s post and comment on it by answering the following questions:

Do you agree or disagree with the advantages and disadvantages stated about the linear function and exponential function? Why do you agree or disagree?
Do you agree with the linear or exponential function created to represent the value of the car x years after it was sold? Why or why not?

Answers

Answer:

Hey!

If a car is losing value at a constant rate, then a linear function would work better. For example, say that a car dealership is buying used cars. They will buy it for the asking price, but subtract 500 dollars for each year the car has been in existence. So, if you had a car from 2015 that cost you $2,000, and it's 2018, the dealership would buy it for 2000-(500 * the amount of years it has been since the car was made). Therefore, as 2018-2015=3, we have 2,000-500*3=2,000-1,500=500 as the value of the car after three years, and linear function (in the form of

, with y representing the end cost, b representing the starting cost, m representing the amount the car depreciates in value every year, and x being the amount of years) is 500=(-500*3+2000) in our situation here. Similarly, if the minivan depreciates 3,000 dollars in the first year, based on our knowledge and being forced to use linear function, we can assume that the minivan loses 3,000 dollars every year, making our equation y=(-3000*x)+29,248, with y representing the value of the car at the end, x representing the amount of years, and b representing the starting cost.

However, say that the car loses 50% of its value every year. This means that if you originally bought a car for 2,000 dollars in 2015, in 2016 it would be world 2,000/2=1,000 , 1,000/2=500 the year after that, and so on. We can try to put this into a linear function, but it's hard to put into one equation because we're not subtracting or adding to the cost of the car by a specific amount each year. If we had our equation as y=-0.5*x+2000, this wouldn't work because it's adding to the original amount, not multiplying. However, if we used an exponential equation such as y=b(m^a), with y representing the end cost, b representing the starting cost, m representing the amount multiplied per year, and a representing the amount of years. This works because we start with a value, and multiply it by an amount each year. Since 50%=0.5, we plug that into m to get y=2,000(0.5^a). Therefore, this works really well here. If the minivan were to depreciate by 3,000 every year, starting at $29,248, this means that we first have to find out what we multiply 29,248 by the first year to subtract 3,000. As, after one year, the value is 29,248-3,000=26,248, we have 26,248=29,248(m^1). Therefore, we can divide 29,248 by both sides to get around 0.9 as our answer for m. Thus, our equation is y=29,248(0.9^a). This type of equation would not work if we subtracted an amount every year because we're not multiplying by the same amount then. For example, if a toy was valued at 3$ and gained a value of one dollar every year, we could multiply the toy by 4/3 the first year to get 4, but the next year we wouldn't get 5.

Feel free to ask further questions! :)

Factorise 49x^2-121 what’s the answer

Answers

Answer:

( 7x + 11  )( 7x-  11 )

Step-by-step explanation:

( 7x + 11  )( 7x-  11 )

Because 7*7 is 49

-11*11= -121

7*11=77

-7*11= -77

77-77=0

so the answer is 49x^2-121

Final answer:

To factorize 49x^2-121, we can apply the difference of squares method. The factorization of 49x^2-121 is (7x + 11)(7x - 11).

Explanation:

To factorize the quadratic expression 49x^2 - 121, we first identify it as a difference of squares. This allows us to rewrite it as (7x)^2 - 11^2. Utilizing the difference of squares factoring pattern, we then break it down as (a + b)(a - b), where in this case, a = 7x and b = 11. Consequently, the factorization of 49x^2 - 121 simplifies to (7x + 11)(7x - 11). This method efficiently breaks down the quadratic expression into its constituent linear factors, providing a clearer representation for mathematical analysis and problem-solving purposes.

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In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

Answers

Answer:

  60°

Step-by-step explanation:

In a circumscribed quadrilateral, opposite angles are supplementary.

  x° = 180° -120°

  x° = 60°

_____

Derivation of the relationship

Arcs BAD and BCD have a sum of 360°. Arc BAD is twice the measure of angle BCD. Likewise, arc BCD is twice the measure of angle BAD. So, we have ...

  2∠BCD +2∠BAD = 360°

  ∠BCD +∠BAD = 180° . . . . . . divide by 2. This is the relation we used above.

Help me with number 1 pleaseeeee !!!!!!

Answers

Answer:

a

Step-by-step explanation:

Which set of line segments could create a right triangle? (4 points)

Answers

15,36,39 is a set of line segments that could create a right triangle

Answer:

The answer is 18, 24, and 30. because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.

Step-by-step explanation:

because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.

:)

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