In the diagram, CA is tangent to circle P. The e
radius of circle P is 8 cm and BC = 9 cm. What
is AC?

A polygon's outside angles have several distinctive qualities. A polygon's outside angles added together always equal 360 degrees. As a result, for all equiangular polygons, the size of one exterior angle is determined by dividing the polygon's number of sides by 360.

Regular polygons are defined as polygons with equal-length sides and angles. A regular polygon is equilateral and equiangular, for example.  The term "square" refers to a regular polygon with four sides.

example

A + B + C + D + E is the sum of the internal angles, while 5(180) is the sum of the outer angles.

In order to do so, we use the formula (1) a + b + c + d + e = 5(180) - 540 = 900 - 540 = 360 degrees. As a result, any polygon's total external angle is 360 degrees.

A polygon's outside angles have several distinctive qualities. A polygon's outside angles added together always equal 360 degrees.

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Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer:

a.(3,-7/2) b.(-1.85,-5.4) will the midpoints

Step-by-step explanation:

let mid point be x,y

apply mid point formula

x=(x1+x2)/2 y=(y1+y2)/2

plz mark as brainliest

The midpoint of the given line is (3,-3.5)

The midpoint of a line is a point which divides the line segment into two equal parts.We can also say that a midpoint bisects a line segment.

We know when two end points of a line segment are given we can find midpoint by

M(x) = (x₁ + x₂)/2 and M(y) = (y₁ + y₂)/2.

Given points  C(-2, 5) and D(8, -12)

M(x) = ( - 2 + 8 )/2

M(x) = 6/2

M(x) = 3.

M(y) = ( 5 - 12 )/2

M(y) = -7/2

M(y) = -3.5.

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Answer:

x

Step-by-step explanation:

\(\sqrt{\frac{2x^2 +4x +2}{2} } -1\\\\= \sqrt{x^2 + 2x + 1} -1\\ \\=\sqrt{x^2 + x+x+1} -1\\\\=\sqrt{x(x+1)+(x+1)} -1\\\\=\sqrt{(x+1)(x+1)} -1\\\\=\sqrt{(x+1)^2} -1\\\\=x+1 - 1\\\\= x\)

Answer:

If you pacifically asking for the fraction 115/12

Step-by-step explanation:

I also looked on mathw it helps

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

The solution for system of equation provided as per the given question will be x = -19 and y = 55 or (-19,55).

It is given that the equations are:

y = –3x – 2

Simplifying it further, we get:

y + 3x = -2 (equation 1)

5x + 2y = 15 (equation 2)

Multiplying y + 3x = -2 by 2 and subtracting from 5x + 2y = 15, we get:

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Plugging the value of x in the equation y + 3x = -2, we get:

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

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      A geometric sequence's first 6 terms add up to 9 times the sequence's first 3 terms. Identify the typical ratio. A (rn-1) / r - 1 is the formula for the sum of n terms in a geometric series, where a, r, and n are the series's initial term, ratio, and number of terms, respectively.

1.a1 = 10 d =-1

an = 10 n + (-2) (-2)

2. a1 =8 d =4

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Answer:

\(m=(-4,\frac{7}{2})\) or \((-4,3.5)\)

Step-by-step explanation:

m = midpoint

\(m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

\(m=(\frac{-2+(-6)}{2},\frac{-2+9}{2})\)

\(m=(\frac{-8}{2},\frac{7}{2})\)

\(m=(-4,3.5)\)

Answer:

58

Step-by-step explanation:

because it is

Answer:

Sample Response:

To find (–7)2, the base –7 is multiplied by itself: (–7)(–7) = 49. To find –72, the base 7 is multiplied by itself: 7 • 7 = 49. The negative sign is then applied to get –49.

Answer:

1525.6

Step-by-step explanation:

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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When parallel lines e and f are cut by transversal b, the value of x is 37.

Angle a and angle x are what is known as a pair of alternate interior angles, which means they are congruent (have the same measure).

When two parallel lines are crossed by a transversal, this is always the case.

Thus, we know that a and x have the same value, and we may represent this using an equation: a = x.

Because we know that a equals 80 degrees, we can substitute that value into the equation:80 = x

Next, we'll look at the bottom right angle, which we'll call b. When two parallel lines are crossed by a transversal, the angles created by the transversal on the same side of the parallel lines are known as corresponding angles.

Because they are on the same side of the transversal, corresponding angles are congruent.

As a result, we can equate the values of angle x and angle b using another equation: x = b.

Because we know that angle b equals 117 degrees, we can substitute that value into the equation:

x = 117

To solve for x, we will now set the two equations for x equal to each other:

80 = x

x = 117

x = 37

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Total number of three-digit numbers = 6 + 5 + 5 + 5 = 21 numbers.

There are a total of 4 scenarios for forming three-digit numbers containing the digits 2 and 5, but none of the digits 0, 3, 7:

1. Numbers starting with 2 and having 5 in the middle (2_5): There are 6 possible choices for the last digit (1, 4, 6, 8, or 9), resulting in 6 numbers.

2. Numbers starting with 2 and having 5 as the last digit (2_5): There are 5 possible choices for the middle digit (1, 4, 6, 8, or 9), resulting in 5 numbers.

3. Numbers starting with 5 and having 2 in the middle (5_2): There are 5 possible choices for the last digit (1, 4, 6, 8, or 9), resulting in 5 numbers.

4. Numbers starting with 5 and having 2 as the last digit (5_2): There are 5 possible choices for the middle digit (1, 4, 6, 8, or 9), resulting in 5 numbers.

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Answer:

ayyyyytttsss.........

Answer:

B. 54

Explanation:

Take 72 from 180.

180 - 72 = 108.

Since there are two y's AND they're congruent, divide 108 by two and get 54.

The table F shows a proportional relationship.

A proportional relationship, also known as direct variation, exists when two variables are related in such a way that their ratio remains constant.

As one variable increases or decreases, the other variable changes by a consistent factor.

In the given tables, the table F represents a proportional relationship.

x/y=1/2=2/4=4/8=5/10

The ratio is constant x/y=1/2.

Hence, the table F shows a proportional relationship.

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Answer:

Step-by-step explanation:

First, estimate the size of the jar and then look to see if all the candies are the same size. If they are, take 64 percent of that volume and divide it by the size of the candy to get the total number that would randomly fit inside.

The given statement is FALSE. The determinant of the sum of two matrices does not equal the sum of the determinants of the matrices.

In fact, the determinant of the sum of two matrices is generally not even equal to the sum of the determinants of the matrices.
This property does not hold true for determinants. In general, the determinant of the sum of two matrices A and B

(det(A+B)) is not equal to the sum of their individual determinants (det(A) + det(B)).

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The value of P is approximately 0.0082027.

To find the probability of selecting exactly three claims from one coverage and exactly two claims from one of the other coverages, we need to calculate the total number of ways to choose three claims from one coverage and two claims from another coverage, and divide it by the total number of ways to choose five claims from the portfolio.

First, let's calculate the total number of ways to choose three claims from one coverage and two claims from another coverage. We have 10 bodily injury claims and 10 property damage claims to choose from, so the number of ways to choose three claims from one coverage is 10 choose 3 (denoted as C(10, 3)), and the number of ways to choose two claims from another coverage is 10 choose 2 (denoted as C(10, 2)). Multiplying these two combinations gives us the total number of ways to choose three claims from one coverage and two claims from another coverage.

Next, let's calculate the total number of ways to choose five claims from the portfolio. We have a total of 10 bodily injury claims, 10 property damage claims, 10 worker's compensation claims, and 10 comprehensive claims to choose from, so the number of ways to choose five claims from the portfolio is 40 choose 5 (denoted as C(40, 5)).

Finally, to find the probability, we divide the total number of ways to choose three claims from one coverage and two claims from another coverage by the total number of ways to choose five claims from the portfolio.

Therefore, the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages can be calculated as:

P = (C(10, 3) * C(10, 2)) / C(40, 5)

P = (C(10, 3) * C(10, 2)) / C(40, 5)

ChatGPT

To solve the expression P = (C(10, 3) * C(10, 2)) / C(40, 5), we can substitute the values into the combination formulas and perform the calculations:

C(10, 3) = 10! / (3!(10-3)!) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

C(10, 2) = 10! / (2!(10-2)!) = 10! / (2! * 8!) = (10 * 9) / (2 * 1) = 45

C(40, 5) = 40! / (5!(40-5)!) = 40! / (5! * 35!) = (40 * 39 * 38 * 37 * 36) / (5 * 4 * 3 * 2 * 1) = 658,008

Now, we can substitute these values into the expression:

P = (C(10, 3) * C(10, 2)) / C(40, 5) = (120 * 45) / 658,008

Performing the calculation:

P = 5,400 / 658,008

Simplifying the fraction:

P ≈ 0.0082027

Therefore, the value of P is approximately 0.0082027.

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Answer:

false

Step-by-step explanation:

6/3 is 2 and that times 6 is 12 not 18

Answer:

nope its 12 g

Step-by-step explanation:

Answer:15

Step-by-step explanation:

it could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Answer:

The Answer is 47

Step-by-step explanation:

Because you do A squared plus B squared equals C squared and Squared is just multiplying both by two.

Answer:

-2/3

Step-by-step explanation:

c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

A quantity known as length has the ability to calculate approximate distance between two areas. In addition to height the breadth, it creates an object's length. Children will learn about length in math lessons to help them solve practical challenges both inside and outside of the classroom. the length or width that is possible to measured; a thing's greatest or longest dimension. 10 feet in length. Table of Metric units, Metric System Table: The length characteristic. The quantity or measurement between two points is the definition of length. In other words, a geometric arrangement or object's largest two or highest three dimensions.

given

Start by calculating the length of the base's diagonal using the Pythagorean theorem:

a² + b² = c²

Fill in the equation with the length and width:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Using our estimated diagonals for the base and the height, we can now determine the prism's diagonal's length. Apply the same formula:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

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37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

The area between 550 and 725 on a standardized test of educational achievement is equal to the percentage of students whose scores fall within one standard deviation (or 68%) of the mean score of 600. This can be expressed mathematically as:

Percentage = (725 - 550) / (2 * 50) = 37.5 / 100 = 37.5%

To explain in more detail, a standard deviation is a measure of the spread of a dataset around its mean value. The mean value in this case is 600, and the standard deviation is 50. Therefore, one standard deviation from the mean is calculated by subtracting or adding the standard deviation (50) from the mean (600), giving a range of 550 to 650.

Since the area in question spans across two standard deviations (550 to 725), the area is calculated by subtracting the lower range (550) from the upper range (725) and then dividing it by two standard deviations (100). This gives us the area, which is 37.5%.

To summarize, 37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

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Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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The crude death rate for all causes in Metroville is 1 per 1,000 residents if the total number of deaths from all causes is 900.

total number of residents injured from roller-skating = 1,800

total number of deaths = 90

deaths from all causes  = 900

Therefore, we can set up a proportion:

90 deaths / x residents = 1,000 deaths per 1,000 residents

x = 90,000 / 1,000

x = 90

The total population of Metroville is 90,000 residents.

The crude death rate for all causes is then:

Crude death rate = (total number of deaths / total population) * 1,000

Crude death rate = \((90 / 90,000) * 1,000\)

Crude death rate = 1 per 1,000 residents

Therefore, we can conclude that the crude death rate for all causes in Metroville is 1 per 1,000 residents.

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expression that equivalent to (3 + 5i)² is -16 + 30i.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, an expression ( 3 + 5i)²

Where, "i" is iota that has the value of √-1

Thus, Simplification of the given Expression will be:

=> ( 3 + 5i)²

=>( 3 + 5i)( 3 + 5i)

Using PEMDAS

=> 9 + 15i +15i +5i * 5i

Since i *i = -1

=> 9 + 30i + 25 * -1

=> -16 + 30i

therefore, -16 + 30i expression is equivalent to (3 + 5i)².

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