What are the Missing Angles? Are these triangles the similar or Not similar?

Answer:

Step-by-step explanation:

B

Account balance after 2 years $441.

Based on the given condition, here the details:

P = $400

r = 5 % = 0.05

n = 1

t = 2

Formulate and substitute all above:

F = P · (1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]

F = 400. 1 + [tex]\frac{0.05}{1}[/tex])²

F = $441

From this as general, account balance is:

A checkbook, a savings account, or an investment account, for example, has a balance that shows how much money is available in the account. This is also called the current account value. The current value of account balances is shown by financial institutions on both paper statements and online tools.

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Expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.

As given in the question,

Number of art electives students = 3

Number of history electives students = 4

Number of computer electives students = 5

Choosing an art electives students = ³C₁

Choosing an history electives students = ⁴C₁

Expression represents the probability that a student chooses an art elective and a history elective

= (³C₁⁴C₁) / ¹²C₂

Therefore, expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.

The complete question is:

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.

Which expression represents the probability that a student chooses an art elective and a history elective?

a. ⁷C₂ / ¹²C₂

b. ⁷P₂ / ¹²P₂

c. (³C₁⁴C₁) / ¹²C₂

d. (³P₁⁴P₁) / ¹²P₂

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1) Only 2

1) Examining the expressions we have

1. -5/8+3/5 =-1/40 Rational Expression

2. 1/2+ √2 Irrational Expression

3.(√5)×(√5)= 5 Rational Expression

4. 3×(√49) = 21 Rational Expression

2) Since √2 is an irrational number √2 = 1.4142.... non-periodic and infinite number, and number added to it will yield an irrational number.

3) So the answer is 1) Only 2

Answer:

Explanation:

Here, we want to deduce the median change

The median is a measure of central tendency that represents the middle number is a set of numerical observations

Firstly, let us get the previous median

We start by sorting the numbers from bottom to top

We have that as:

121,129,132,145,160,175

Since the count of observations is even, we have the median as the average of the two mid-values

We have that as:

Adding the last value, the set becomes

121,129,132,145,160,173,175

In this case, the median value would be 145 which shows an increase in the value of the median

Answer:

A. Increase

Step-by-step explanation:

I took the

The mean value of expected value for a binomial distribution is given by the next formula:

Where n is the number of trials and p is the probability of success. So, using the given data:

So the expected value or mean is 48

Answer:

√6(x−11)/6

Step-by-step explanation:

f^−1(x)=√6(x−11)/6

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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The student that has the greatest percent error is Ebony.

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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Answer:

The average yearly growth o

Explanation:

Given that the tree grew from 18 ft 35 1/2 feet in 3 1/2 years.

The growth within these years is:

35 1/2 - 18

= 35.5 - 18

= 17.5

Now, this averages:

17.5/3.5 (3.5 is the number of years)

= 5

The average is 5 ft per year

Using concepts of statistics, we got 7% people are from age 18-24,and 15% for criminal arrests,65 and older are in 13% population and cover less than 1% crime rate.

The topic of crime in the United States is very large, technically covering any action that is punishable under a state or federal law. Any analysis of the topic  requires division into further sub-categories. One common way to do this is  by limiting analysis to crimes involving jail time (i.e. misdemeanors and felonies, which generally differ via the length of jail time involved), then differentiate between violent crimes or property crimes. Violent crimes are described as offenses which involve force or the threat of force, while property crime majorly includes offences involving the taking of money or property, but where there is not any  force or threat of force against the victims. Property crimes are outnumbering violent crimes in the U.S. in 2020, numbering 6.45 million and 1.31 million respectively. Larceny was the actually most common property crime with 4.6 million incidents, while the aggravated assaults accounted for around two thirds of violent crimes.

Hence, percentage of people whose age is in between 18-24 is 7%,

people from age 18-24 engaged in illegal work=15%,

percentage of people whose age is 65 or more than =13%,

people involved in crime having age more than or equal to 65=1%

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so this is a

You also will not know precisely how many sentences will appear in the random paragraph. But some piano roll artists made a name with pieces that could not possibly be played by an precise individual. Most of his research deal with difficult meters and polyrhythms. Many include distinct voices enjoying the identical line at different tempos, usually in odd ratios. On top of this, most of the traces themselves tend to be highly dissonant and exhausting to actually play. Someday we might come nose to nose with pure house, that could presumably be a nothingness waiting to be filled.

From the figure, draw from D parallel to AB.

Calculate angle D from triangle DWC = 180 - (90+60) = 180 - 150 = 30

Angle D = 30

Angle W = 90 + 30 = 120

Final answer W = 120

Answer:

Domain: -6,-1,4,6,7

Range: -5,3,6,8,9

Step-by-step explanation:

The domain is the first element in each ordered pair.  It is the x value.  The range is the second element in each ordered pair.  It is the y values.

Given a rectangular peice of paper

Length = 34 cm

Width = 16 cm

So, the area of the rectangle = 34 x 16 = 544 cm²

Two semicircles cut out of it

The diameter of the circle = d = 16 cm

So, the radius of the circle = r = d/2 = 8 cm

The area of the two semicircles = area of the complete circle

so, the area of the circle = πr² = 3.14 x 8² = 200.96 cm²

So, the area of the remaining paper = area of the rectangle - area of the circle

= 544 - 200.96 = 343.04 cm²

So, the answer will be Area = 343.04 cm²

Answer: (8,

-4) and (3,8)

Step-by-step explanation:

We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In the fraction,

The first number = 62

The second number = 52

Let the number which can be multiply by the fraction = x

Since, The given condition is,

Multiply the first number by to get the second number.

So, We can formulate;

⇒ 62 × x = 52

Solve for x, as;

⇒ 62 × x = 52

⇒ 62x = 52

Divide by 62, we get;

⇒ x = 52 / 62

Multiply and divide by 2;

⇒ x = 26 / 31

Therefore,

We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.

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The correct option for the fraction with polynomials is y=6.

Expressions of more than two algebraic terms that contain different powers of the same variable is a polynomial.

The polynomial fraction is an expression of polynomial divided by another polynomial.

We can solve the fraction to get the value of y as follows;

[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y²-16)]

[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y+4)(y-4)]

[-8/(2y-8)]= [5(y+4)-(7y+8)]/(y+4)(y-4)] (L.C.M) of the fraction

[-8/(2y-8)]= (5y-20-7y-8)/(y+4)(y-4)

[-8/(2y-8)]= (-2y-28)/(y+4)(y-4)

[-8/2(y-4)]= (-2y-28)/(y+4)(y-4)

[-8/2(y-4)]= [-2(y-14)]/(y+4)(y-4)

[-4/(y-4)]= [-2(y-14)]/(y+4)(y-4)

Multiply both sides of the equation by -(y-4)

4= 2(y-14)/(y+4)

Cross multiply

4(y+4)=2(y+14)

Divide through by 2

2(y+4)=y+14

2y+8=y+14

collect like terms

2y-y=14-8

y=6.

Hence, we can state that the value of y for the polynomial with fraction is 6.

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The vertex of the equation is (-3, 2). And the range will be the set of all real numbers equal to or larger than 2, written as:

y ≥ 2.

For an absolute value function of the form:

y = |x - a| + b

The vertex is a the point (a, b).

And the range (the set of the possible values of y that we can get with the function) will be the set of all real values equal or larger than b.

In this case, the absolute value function is:

y = |x + 3| + 2

Comparing it with the general one, we can see that the vertex is (-3, 2)

And then the range is y ≥ 2.

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Answer:

x+3/5 + x-2/5

simply add variable

x+x +3/5-2/5

2x+3/5-2/5

taking L.C.M

5*2x+3-2/5

10x+1/5

Answer: Cost per rides

Step-by-step explanation:

The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:

(x - 2)² + (y - 3)² = 25.

The equation of a circle with center (x*, y*) and radius r is given according to the following rule:

(x - x*)² + (y - y*)² = r².

The circle passes through point (-2,6), hence the first equation of the system is given as follows:

(-2 - x*) + (6 - y*)² = r².

r² = x*² + 4x* + 4 + y*² - 12y* + 36.

The circle also passes through point (2,8), hence the second equation of the system is given as follows:

(2 - x*) + (8 - y*)² = r².

r² = x*² - 4x* + 4 + y*² - 16y* + 64.

The final point is point (5,-1), meaning that the third equation is:

(5 - x*) + (-1 - y*)² = r².

r² = x*² - 10x* + 25 + y*² + 2y* + 1.

The system of equations to find the coordinates of the center and the radius is given as follows:

The solution to the system is given as follows:

x* = 2, y* = 3, r² = 25.

Hence the equation of the circle is:

(x - 2)² + (y - 3)² = 25.

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The graph for the given equation is plotted below.

The given equation is y=3x-4.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Put x=0, 1, 2, 3, 4,....in the given equation and solve for y

When x=0, y=-4

When x=1, y=-1

When x=2, y=2

When x=3, y=5

Plot the coordinates (0, -4), (1, -1), (2, 2) and (3, 5) on the graph.

Therefore, the graph for the given equation is plotted below.

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We are given:

The tangent is defined as the ratio of the sine and the cosine:

Calculating:

The cotangent is the reciprocal of the tangent:

The secant is the reciprocal of the cosine:

The cosecant is the reciprocal of the sine:

Answer:

The answer for the question is = -18.6y - 64.8

Answer:

y = (-2/3)x + 4

Step-by-step explanation:

a) 50 elements are in the union of three pairwise disjoint sets if the sets contain 10, 15, and 25 elements.

b) 229 are there to select a student whose major is in one of the departments of the school of science if there are seven departments in this school with 31, 88, 19, 11, 41, 22, and 17 students in each.

c) 23 are there to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6.

The problem we are dealing with is related to union sets.The union of two sets is a set containing all elements that are in set A and set  B or including more sets

For the first problem, the sets  contain:

n(A)=10, n(B)=15, n(C)=25, n(A∩B)=0 ,n(B∩C)=0 ,n(C∩A)=0,n(A∩B∩C)=0

So,  n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(C∩A)+n(A∩B∩C)

               = 10 +15+25-0-0-0-0-0

              =  50

For the second  problem, since no student can have  more than one major.

So, (A∪B∪C∪D∪E∪F∪G)=n(A)+n(B)+n(C)+n(D)+n(E)+n(F)+n(G)

As  we know : n(A)=31, n(B)=88, n(C)=19, n(D)=11, n(E)=41, n(F)=22, n(G)=17

So ,  (A∪B∪C∪D∪E∪F∪G) =  31+88+19+11+41+22+17= 229

For the third problem,  we have

n(A)=5

n(B)=3

n(C)=2

n(D)=7

n(E)=6

So, the number of elements will be (A∪B∪C∪D∪E) =  5+3+2+7+6 =23

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Solution

- The question would like us to solve the following

- The solution is outlined below:

Final Answer

The answer is x < 33