Two angles of a triangle are the same
size. The third angle is 12 degrees
smaller than the first angle. Find the
meone the ongles

The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.4 or 40%.

To solve this problem, we need to find the area of the red shaded region of the circle and divide it by the area of the entire circle. Since we know that the radius of the circle is 4 cm and the radius of the red shaded circle is 8 cm, we can easily calculate the area of both circles.

To calculate the area of the entire circle, we use the formula:

Area of a circle = πr², Where r is the radius of the circle.

Substituting r = 4 cm, we get:

Area of circle = π(4)²= 16π sq. cm

To calculate the area of the red shaded region, we use the same formula: Area of a circle = πr²

Where r is the radius of the circle.

Substituting r = 8 cm, we get:

Area of red shaded circle = π(8)²= 64π sq. cm

Now we can find the probability that a randomly selected point within the circle falls in the red shaded circle by dividing the area of the red shaded circle by the area of the entire circle:

Probability = Area of red shaded circle/Area of entire circle= 64π/16π= 4

Therefore, the probability that a randomly selected point within the circle falls in the red shaded circle is 4/10, which can be simplified to 0.4 or 40%.

Summary: The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.4 or 40%. This can be calculated by finding the area of the red shaded region of the circle and dividing it by the area of the entire circle. The radius of the entire circle is 4 cm, and the radius of the red shaded circle is 8 cm.

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Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

12

Step-by-step explanation:

If the sum of the digits of a certain two-digit number is 15 and reversing its digits increase the number by 9, then the numbers are 7 and 8

Let the two digits numbers be x and y

If the sum of the digits of a certain two-digit number is 15, then;

x + y = 15 .................... 1

If the digits are reversed and increased number by 9

10y + x = 10x + y + 9 ................ 2

From 1, x = 15 - y

Substitute into equation 1 to have:

10y + 15 - y = 10(15-y) + y + 9

9y + 15 = 150 - 9y + 9

18y = 159 - 15

18y = 144

y = 8

Since x = 15 - y

x = 15 - 8

x = 7

This shows that the numbers are 7 and 8

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Answer:

[tex]2.[/tex]

Step-by-step explanation:

[tex]i \: believe \:that \: the \: required \: value \: is \: the \: \boxed{slope} \\ the \: slope \: is :m = \frac{9 - 5}{3 - 1} = \frac{13 - 9}{ 5- 3} = \frac{17 - 13}{7 - 2} = \frac{4}{2} \\ m = \boxed{ 2.}[/tex]

♨Rage♨

Answer:

2

Step-by-step explanation:

Answer:

f⁻¹(x) = -(x - 3)/2

Step-by-step explanation:

Step 1: Write equation

f(x) = -2x + 3

y = -2x + 3

Step 2: Find inverse

x = -2y + 3

x - 3 = -2y

y = (x - 3)/-2

y = -(x - 3)/2

f⁻¹(x) = -(x - 3)/2

Answer:

f(-5) = 5

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 5

f(-5) is x = -5

Step 2: Substitute and Evaluate

f(-5) = -(-5)² - 7(-5) - 5

f(-5) = -25 + 35 - 5

f(-5) = -25 + 30

f(-5) = 5

Answer:

MNP is similar to CDF because the lengths of corresponding sides are proportional.

Answer:

A. 9

Step-by-step explanation:

The scale factor = 3, meaning that you have to multiply the og shapes side lengths by 3 in order to get the new shapes side length.

We know that 10 × 3 = 30, so now we have to find what the width of the og rectangle will be.

27 / 3 = 9, so ? = 9.

To check your answer, you can multiply 9 × 3 = 27. So 9 is the missing width.

? = 9

Answer:

The answer is 9 inches.

Step-by-step explanation:

Edge 2021 + top comment !

Answer: x = 3

Step-by-step explanation:

Answer:

There are several kinds of mean in mathematics, especially in statistics. For a data set, the arithmetic mean, also called the expected value or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

All angles in a triangle add up to 180°.

Step 1: Set up equation

9x - 8 + x + 10 + x + 2 = 180

Step 2: Solve for x

4

5

6

7

8

9

10

11

12

13

14

16

17

19

20

21

22

23

24

25

26

27

28

29

30

Step-by-step explanation:

4 + y + (-2)

= 4 + y - 2

= 4 - 2 + y

= 2 + y

Answer:

this look at the screenshot

Answer:

2 votes

Step-by-step explanation:

It is 7 times joshua so we can write that as 7j

16 is the total so we are going to put an equal sign before that

7j=16

To solve, isolate j

To do that divide by 7 on each side

you get 2.28 votes but you can't have a fraction of a person voting so it would be 2 votes

Answer:

x = 7/3

Step-by-step explanation:

Step 1: Write equation

6 + 3x = 12x - 15

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

6 + 3(7/3) = 12(7/3) - 15

6 + 7 = 28 - 15

13 = 13

Answer:

  x = 7/3

Step-by-step explanation:

  6 +3x = 12x -15

  9x = 21 . . . . . add 15-3x

  x = 21/9 . . . . . divide by 9

  x = 7/3

Answer:

Step-by-step explanation:

The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Given that,

A statement,

"9.5 less than a number n equals 27"

To solve for the value of "n",

we can start by subtracting 9.5 from both sides of the equation,

9.5 less than a number n = 27

So, it can be written as,

n - 9.5 = 27

n = 36.5

Hence, the value of "n" is 36.5.

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Answer:

The slope is 7

Step-by-step explanation:

y =mx + b

m = slope

b = y intercept

Answer:

The correct answer is B. The rate of change is about 3 feet per minute

I hope this helped!

Answer:

B. The rate of change is about 3 feet per minute

Step-by-step explanation:

:)

Answer:

x-intercept = (4,0)

Step-by-step explanation:

Slope = 1/2

y-intercept = -2

x-intercept =?

Step 1 ; Use the given information to derive the equation of the line.

Substitute values into ; y=mx+b

Where m = slope

b = y-intercept

Equation = [tex]y =\frac{1}{2} x -2[/tex]

Step 2 ; Calculate the x-intercept

Arrange the equation in standard form ; Ax +By  = C

[tex]-\frac{1}{2} x +y = -2[/tex]

Let y = 0

[tex]-\frac{1}{2}x+0=-2\\ \\-\frac{1}{2}x = -2[/tex]

Cross Multiply

[tex]-x\times 1 =-2\times 2\\\\-x = -4\\\\x =4\\\\(4,0)[/tex]

So ; (4,-2)

Answer:

$3,795.96

Step-by-step explanation:

Base amount: $3,000.00

Interest Rate: 4% (yearly)

Effective Annual Rate: 4%

Calculation period: 6 years

Answer:

=∣∣−26∣∣=26

Step-by-step explanation:

∣∣x−y∣∣=?

x =  

-10

y =  

16

Answer:

∣∣x−y∣∣=26

Solution:

∣∣x−y∣∣

=∣∣(−10)−16∣∣

=∣∣−10−16∣∣

Answer:

1,2,3,6,9,18,27,54 is 54, 1,2,4,8,16,32,64 is 64

Step-by-step explanation:

learn di divide geez

Answer: 2.1

Step-by-step explanation:

you have to add all of the cost for each thing which gives you 8.4

and the divide 8.4 times 4 which are the friend and it give you how much money each friend payed

srry if im wrong hopefully its right :)

Answer:

58 1/4, 233/4, 5825%

Step-by-step explanation:

Answer:

You can write as a fraction, a percentage, and in word form

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

Given:

[tex]\bold{f(x) = cos(3x)}\\\to f'(x) = - 3 sin (3x)\\\to f''(x) = - 9 cos (3x)\\\to f'''(x) = 27 sin (3x)\\[/tex]

Similarly:

[tex]\bold{f(2.5)' = cos(6.75)}\\\to f'(2.5) = - 3 sin (6.75)\\\to f''(2.5) = - 9 cos (6.75)\\\to f'''(2.5) = 27 sin (2.5)\\[/tex]

calculating the order values [tex]\longrightarrow \cos(6.75)[/tex]:

In the 1st order:

[tex]\to cos(6.75) + (x-2.5) 3 sin (6.75)[/tex]

In the 2nd order:

[tex]\to cos(6.75) + [1- \frac{(x-2.5)^2}{2}9] + (x-2.5) 3 sin (6.75)[/tex]

In the 3rd order:

[tex]\to cos(6.75) + [1- \frac{9(x-2.5)^2}{2}] + 3 sin (6.75)(3(x-2.5) - \frac{27}{6} (1-2.5))[/tex]

In point a:

[tex]\boxed{\left\begin{array}{cccc}{Zero&First &Second&Third}\\0.993068457& 0.420690485&9.2635909&16.0135909\\\end{array}\right}[/tex]

In point b:

[tex]\boxed{\left\begin{array}{cccc}{First &Second&Third&Fourth}\\0.993068457& 0.420690485&9.2635909&16.0135909\\\end{array}\right}[/tex]

In point C:

At this point, data is missing.

The function f(x) = x^2-5x+6 can be evaluated at any value of x by substituting the value into the function and simplifying the expression. We can also graph the function to see what it looks like.

To evaluate the function, we need to substitute a value for x and simplify the expression. We can evaluate the function f(x) = x^2-5x+6 by following these steps:

Step 1: Given that f(x)=x^2-5x+6

Step 2: Substitute a value for x into the function. Let's say x = 2. We will evaluate f(2).f(2) = 2^2 - 5(2) + 6f(2) = 4 - 10 + 6f(2) = 0Step 3: The value of the function at x = 2 is 0.

Therefore, f(2) = 0.We can evaluate the function at any value of x by following the same steps.

The key is to substitute the value for x into the function and simplify the expression. For example, if we wanted to evaluate the function at x = 1, we would follow these steps:f(1) = 1^2 - 5(1) + 6f(1) = 1 - 5 + 6f(1) = 2

Therefore, f(1) = 2.We can also graph the function to see what it looks like. The graph of f(x) = x^2-5x+6 is a parabola that opens upward. The vertex of the parabola is located at the point (2.5, -1.25).

The x-intercepts of the parabola are located at the points (2, 0) and (3, 0). The y-intercept of the parabola is located at the point (0, 6). The graph of the function is shown below:

Overall, the function f(x) = x^2-5x+6 can be evaluated at any value of x by substituting the value into the function and simplifying the expression. We can also graph the function to see what it looks like.

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