Find the area of the following figure:

(Use π=3.14 when finding your final answer. Do not round and Do not enter units!)


Area = _______ mm²

Find The Area Of The Following Figure:(Use =3.14 When Finding Your Final Answer. Do Not Round And Do

Answers

Answer 1

Answer:

521 mm2

Step-by-step explanation:

Formulas:

area of circle= 3.14 x radius x radius

area of semicircle = 0.5 x 3.14 x radius x radius

diameter of circle= 20mm

radius=0.5x20mm=10mm

area of trapezium= 0.5 x (base+base) x height

Working:

area of semicircle= 0.5 x 3.14 x 10mm x 10mm = 157mm2

area of trapezium = 0.5 x (20mm+32mm) x 14mm = 364mm2

total area of figure= 157mm2 + 364mm2 =521mm2


Related Questions

Cp when Sp is 5625 and profit is 25%​

Answers

4500 is the Cost price.

What do you mean by price at cost?

Cost price is the total sum of money that it costs a manufacturer to make a particular good or offer a particular service.The cost price of an item is the price at which it is produced or the price at which it is purchased. C.P. stands for "cost price." Selling Price: A product's selling price is the cost at which it is sold.

SP = 5625

Profit = 25%

CP = ?

 CP =    5625/125 * 100

       = 45 * 100

       = 4500

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Find the slope and reduce.
P=(2, 3) Q=(9, 7)

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Slope = m

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

m = [tex]\frac{7-3}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]

a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape
ice concentrate is 3 to 1.
a. Find two more ratios of cups of sparkling water to cups of juice concentrate that
would make a mixture that tastes the same as this recipe.
b. Describe another mixture of sparkling water and grape juice that would taste
different than this recipe.

Lesson 3 Practice Problem

Answers

Answer:

3:2

Step-by-step explanation:

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1

Equivalent ratio to 3 : 1 are

6 : 2,

9 : 3,

12 : 4

15 : 5

21 : 7

Non equivalent ratio of 3 : 1 are

3 : 2

4 : 2

5 : 5

6 : 4

Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the
same as this recipe.
Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice
concentrate
Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1
ratio of cups of sparkling water : cups of grape juice concentrate = 3: 1
Equivalent ratio to 3 : 1 are
6:2.
9:3.

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3x+=x+5
4
2
6
12
10

Answers

If you multiply by 12 you will get rid of all your fractions.

What are linear equations?

In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

The given linear equation is

6 - (3/4)x + (1/3) = (1/2)x + 5

In this equation the fractions are
(3/4), (1/3) and (1/2)

Take the LCM of 4, 3, and 2

LCM(4, 3, 2) = 12

So, if we multiply the equation with the number 12  we can eliminate the fractions.

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Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log4 (6(5 + 2x)). Make sure
to use parenthesis around your logarithm functions log(x + y).

Answers

[tex]log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)[/tex] is the completely expanded logarithmic expression .

What are logarithms ?

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

Calculations

the product rule for logarithms is

[tex]log_{b}(MN) = log_{b}(M) + log_{b}(N)[/tex]  for b > 0

now ,

[tex]log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)[/tex]

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Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

Answers

The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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is the ordered pair (2, 4) a solution to the following equation
5x + 2y = 23?

Answers

Answer: Can't Say for sure but probably it is so I would Say Yes.

i need someone to help me with my math test 24 questions please

Answers

Answer:

Add the picturess!!!!!

Step-by-step explanation:

Factorise this expression as fully as possible
2xy^2 + 8y

Answers

2y(xy+4)

Hope this answers your question!

Answer:

2y(xy+4)

Step-by-step explanation:

First, Distribute

you get 2y(xy+4) because you have to isolate the like terms than find a gcf of the terms

Apply Laws of Exponents to write an equivalent expression for the given expression

Answers

Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

The base of a triangle is one half of its height. If the area of the triangle is 196 square millimeters,
find its base and height.

Answers

Step-by-step explanation:

the area of a triangle is

base × height / 2

in our case

base × height / 2 = 196 mm²

base × height = 392

base = height / 2

so, using that in our main equation :

(height / 2) × height = 392

height² = 784

height = sqrt(784) = 28 mm

base = height / 2 = 28/2 = 14 mm

What's the area of a rectangle with side lengths of 6/8 metter and 4/10 metter?

Answers

Answer:

3/10 meters^2

Step-by-step explanation:

we multiply length by width to get are

6/8x4/10

6*4/8*10

24/80

3/10

Hopes this helps please mark brainliest

Answer: Hi the answer to that would be 3/10.

Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!

why is not inverse function??
[tex]f(x) = x {}^{2} - 9[/tex]

Answers

The equation formed when x is the subject of the function f(x) = x² - 9, has two values of output for each input value to the function, therefore;

f(x) = x² - 9 does not have an inverse.

What is the inverse of a function?

An inverse of a function is an anti function that reverses the values in the output into the input values thereby undoing the operations performed by the function.

A function f has an inverse if and only if it is bijective, such that there is a one to one correspondence between the set of the input elements and the set of the output elements

A function that has an inverse is said to be a bijective or invertible function or a function with one-to-one correspondence

The function in the question f(x) = x² - 9

Making x the subject of the function to verify if it has an inverse gives;

x² = f(x) + 9

[tex]x = \pm\sqrt{f(x) +9}[/tex]

Putting x = f⁻¹(x) gives;

[tex]f^{-1}(x) = \pm\sqrt{x +9}[/tex]

Therefore, each value of x gives two values of f⁻¹(x), such that the set of the output of inverse function, f⁻¹(x) does not have a one-to-one correspondence with the set of values of x.

The function f(x) = x² - 9 is not invertible and therefore does not have an inverse function.

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Given: Gross sales, $170,000; sales returns and allowances, $9,000; beginning inventory, $8,000; net purchases, $18,000; ending inventory, $5,000; and operating expenses, $56,000. a. Calculate net sales. b. Calculate cost of merchandise (goods) sold. c. Calculate gross profit from sales. d. Calculate net income.

Answers

The calculation of the following income statement figures are as follows:

a) Net Sales are $161,000.b) Cost of goods sold is $21,000.c) The gross profit from sales is $140,000.d) The net income is $84,000.

What is the income statement?

The income statement is the first financial statement that summarizes the revenues and expenses for a business period to arrive at different profit points.

One of the profit points is the gross profit, which is the difference between the sales revenue and the cost of goods sold.

The other profit points include the operating income, income before tax, and net income.

Income Statement

Gross sales                            $170,000

Sales returns and allowances   9,000

Net Sales                               $161,000

Cost of goods sold:

Beginning inventory $8,000

Net purchases           18,000

Ending inventory       (5,000) $21,000

Gross profit                          $140,000

Operating expenses             (56,000)

Net Income                          $84,000

Thus, the calculation of the income statement figures shows a net income of $84,000.

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which function has the greater y-intercept?
y=-x+6 x: -1, 0, 1, 2, 3
y: 7,6,5,4,3

y=2x-3 x: -1, 0, 1, 2, 3
y: -5, -3, -1, 1, 3

Answers

By evaluating in x = 0, we can see that the function with the greater y-intercept is the first one:

y=-x+6

Which function has the greater y-intercept?

For any function y = f(x), we define the y-intercept as the value that y takes when we evaluate the function in x = 0.

For the first function:

y = -x + 6

The y-intercept is:

y = -0 + 6 = 6

While for the second function:

y = 2x - 3

Evaluating in 0 we get:

y = 2*0 - 3 = -3

So the y-intercept of the first function is 6, and the one of the second function is -3.

Then the first function has the greater y-intercept.

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Find two z values so that the middle 67% of the area is bounded by them.

Answers

The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

What is a standard normal distribution?

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44  and -0.44.

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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

What is a standard normal distribution?

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44 and -0.44.

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A famous leaning tower was originally 180.5 feet high At a distance of 125 feet from the base of the tower, the angle of olevation to the top of the tower is found to be 56° Find ZRPQ indicated in the figure. Also find the perpendicular distance from R to PQ ​

Answers

The perpendicular distance from R to PQ is ​346 feet.

What are the trigonometric functions?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

We have,

consider the sides of leaning tower are,

opposite side of the angle 56° (x) = 180.5 feet.

Adjacent side of the angle 56° (y) = 125 feet.

We know,

[tex]tan\theta =\frac{ opposite \ side}{ adjacent \ side} = \frac{x}{y}[/tex]

[tex]\theta = \ tan^{-1} \left(\frac{ opposite \ side}{ adjacent \ side} \right)[/tex]

The angle of elevation is  [tex]\theta = \ tan^{-1} \left(\frac{180.5 }{125} \right)[/tex]

θ = 56°

The perpendicular distance from R to PQ is RQ ​

[tex]sin\theta = \frac{opposite side}{hypotanous} = \frac{180.5}{y}[/tex]

sin(56) = 180.5/PQ

RQ = 180.5/sin(56)

RQ = - 346.08

RQ = 346 (distance never be negative),

Hence, the perpendicular distance from R to PQ is ​346 feet.

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Here's a brain teaser.
(I already know the answer)
1=5
2=10
3=15
4=20
5=?

Answers

Answer:

5 = 1

or

5 = 25

Step-by-step explanation:

I've seen two answers to this.

1. Since we are told 1 = 5, then 5 = 1.

One answer is 1 = 5

2. Since each number on the right is 5 times the number on the left, then 25 corresponds to 5, and 5 = 25.

Answer: 5=1 (The correct answer) 5=25 (The answer that makes sense but is not correct).

Step-by-step explanation:

Explanation for answer 1: It say's that 1 = 5.

Explanation for answer 2: If we follow the pattern of adding 5 each time we go up a number then 5 would equal 25.

Question 2 (1 point)
Determine the sequence and the common difference.
9, 14, 19, 24

Answers

Answer:

5 is added each time. the next numbers are, 29, 34 and 39

Step-by-step explanation:

9+5 = 14 14+5=19 19+5=24

What expression has the same value as 2(5x + 2) - (3y)2x – 4x

Answers

Answer:

10x+6xy+4

Step-by-step explanation:

2(5x+2)-(3y) 2x-4x

By removing the bracket

10x+4-6xy+12xy

10x+4+6xy

10x+6xy+4

A plane car fly 300 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph
slower than the plane, find the speed of the plane.
Using r as your variable to represent the speed of the plane in miles per hour, write an equation
using the information above that can be solved to find the answer to this problem.
Equation:____?
The plane flies___?

Answers

The plane flies at a speed of 150mph

A plane can fly 300 miles in the same time as it takes a car to go 120 miles

Let the time taken be t

Let the speed of the plane be x

the car travels 90 mph slower than the plane,

Speed of the car is x - 90

Speed = distance / time

Time taken by plane = time taken by car

300/ x = 120/x - 90

300(x - 90) = 120x

300x - 27000 = 120x

300x - 120x = 27000

180x = 27000

x = 27000/180

x = 150

Therefore, the plane flies at a speed of 150mph

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solve the equation 619m + 313m = 2813for m.

Answers

Answer:

        2813

m = ----------

         932

Step-by-step explanation:

619m + 313m = 2813

932m = 2813

÷932      ÷932

        2813

m = ----------

         932

I hope this helps!

Answer:

[tex]m=\frac{2813}{932}[/tex]

Step-by-step explanation:

Combine like terms:

[tex]{619m}+{313m}=2813{932m}=2813[/tex]

Divide both sides by the same factor:

932m=2813

[tex]\frac{932m}{932}}=\frac{2813}{932}}\\[/tex]

Simplify

Cancel terms that are in both the numerator and denominator

[tex]m=\frac{2813}{932}[/tex]

Given that f(x)=x+4 and g (x)=3x/x+1 (1) determine the value of f(9)​

Answers

The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

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What is the y intercept of the line -3x+2y=6 ?
O
-3
-2
2
3

Answers

Answer:

positive 3

Step-by-step explanation:

Steps:

1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b

-3x + 2y = 6

+3x           +3x            add 3x to both sides to get 2y by itself
____________

2y = 3x + 6                -3x+3x cancels out and becomes 0

-------------------------
         2                        divides both sides by 2 to get y by itself

y = (3/2)x + 3

2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.

what is the place value of digit 4 in 405799

Answers

What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

(7x-7)
63°
(3x +45)
(9-4)
Find x and y

Answers

Answer:

x+7=4/3x-1/3 One solution was found : x = 22 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x-9/4x-12: correct answer right here

Step-by-step explanation:

Find the slope of the line that contains the points named.
P(1, 2), Q(3, 4)
0-1
01
02

Answers

Answer:

If the coordinates of at least two points in the line are given, the slope (m) may be calculated by,                               m = (y2 - y1) / (x2 - x1

A restaurant manager recorded the number of people in different age groups who attended their food festival. They created the following histogram:

Histogram with title Food Festival Participants, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79, and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.

What percentage of the participants are ages 40 to 59? Round to the nearest whole percent.

20%

35%

60%

100%

Answers

According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.

What is a histogram?

A histogram approximately represents a distribution of grouped data with numerical values.

A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            20

20 to 39                         40

40 to 59                         60

60 to 79                         50

Total                             170

Percentage of ages 40 to 59  =  60/170 x 100 = 35.29%

Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.

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Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18

Answers

Option A. The statement that can be said to be true for h is h(2) = 16

How to get the domain

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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some help me pls with this
Solve the equation: r - 535 = 175

Answers

Step-by-step explanation:

r - 535 = 175

r = 175 + 535 = 710

Answer:

take - 535 to the other side (over equal to side)

which makes it +535

r = 175 + 535

r = 710

Other Questions
the process by which an individual decides what to do with his or her real and personal property during and after life is known as The purchase price of a diamond ring increases by 20 when the rate of VAT is increased from 12% to 20%. Find the original purchase price of the ring Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=210(1.092)^x If it took Beth 2 hours to drive her truck 60 miles, what was her average speed?Explain, using words, the steps you took to calculate Beth's average speed.What are some objects that have faster or slower average speeds than Beth's truck? during the progressive era, a. the gap between economic classes got smaller. b. agricultural production stagnated. c. the united states stopped receiving immigrants. d. the united states received a large number of immigrants from southern and eastern europe. e. corporations were considered the engine of progress. THE ROUND HOUSE BY LOUISE ERDRICH The novel is told by a first person narrator, and the first chapter is entitled "1988" after the yearin which the events take place. Who is the narrator? When is the narrator telling us this story?(Be sure to include any evidence from the novel to get help you reach conclusions.) DiscussErdrich's choice to tell the story this way rather than in real time. How do you think it's workingso far as you are learning about what has happened and where the story is going? Comparing Marbles:Red balloons float purple marbles at a ratio of 12: 4.Red balloons float green marbles at a ratio of 15: 6.Which is heavier: a purple marble or a green marble? Why did president washington give this advice about the future of u.s. foreign policy? question 3 options: to end european colonization in the western hemisphere to avoid being drawn into european wars to use trade embargoes to stay neutral to encourage economic growth through the transatlantic slave trade Preston goes to the movies with $15 in his wallet. He buysa ticket for $6.50 and two snacks for $1.75 each. Howmuch money does he have left?Select the correct expression.OA. 15-6.5-1.75OB. 15-(6.5+ 2.1.75)O C. 15-2(6.5+ 1.75)OD. 15-6.5+2.1.75 the hospital's grievance committee is made up of members from various departments and is responsible for reviewing patient grievances and making recommendations to promptly resolve those complaints. this committee is an example of a(n) blank team. what does kris want to accomplish by administering attitude surveys? how can those surveys help kris address bella's problem? Please help. Will mark brainliest. Please choose one answer Which of the following is the most reasonable estimate of the correlation coefficient? Image is provided 0.50.70.91.0 can someone please help my plant i have no idea whats wrong with it Can someone help me write a short story about violent love Which of the following statements are true?Corresponding angles of congruent figures are the same.Corresponding angles of similar figures are the same.Corresponding sides of congruent figures are the same.Corresponding sides of similar figures are the same. answer the questions below about the following functionwhat is the domain of f(x)what is the range of f(x)what is the x-intercept of f(x)? enter your answer as an ordered pair. if no x-intercept exists, enter nonewhat it the equation of the vertical asymptote help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A square patio had the same number of feet added to its length and width. Theequation A(x) = x + 12x + 36 represents the area of the new patio in square feet,where a was the length and width of the original patio, in feet. How many feet wereadded to the length and width of the patio? Characterize the slope of the line in the graph. A. Zero B. Negative C. Undefined D. Positive Can someone help solve this the first problem is below in the picture. Can you put it in interval notation, regular notation, graph it on a number line, and set builder