Hey please help me thank you

The area of the field is 900√10 m².

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Quadrilateral ABCD.

The longer diagonal connects vertices A and C, and let E and F be the feet of the perpendiculars from vertices B and D to the longer diagonal AC.

From the figure,

BE = 20 m

DF = 30 m

AE = EC = 120/2 = 60 m

Now,

The area of the quadrilateral.

The area of a trapezoid.

= (sum of parallel sides) x (height) / 2

Using the Pythagorean theorem,

AB² = AE² + BE²

60² + 20² = 4000

AB = √(4000)

AB = 20 √10

And,

CD² = CE² + DF²

CD² = 60² + 30²

CD² = 4500

CD = √(4500)

CD = 15 √20

Now,

Area = AB + CD x 1/2 x AC

= 20√10 + 15√20 x 1/2 x 120

= 900√10

Therefore,

The area of the field is 900√10 m².

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD

1b) The additional information required using ASA Congruency postulate  is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence Postulate that is used is SAS Congruency postulate.

1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate denotes Side - Angle - Side. That is 2 congruent sides and the included angle. This means we have our additional information as;

∠AOB ≅ ∠BOD

1b) We want to prove that the given triangle ABC is congruent to the other triangle PQR by the ASA Congruency. ASA Congruency means 2 congruent angles and the included side. We are given;

∠Q = ∠B

∠R = ∠C.

Therefore, the additional information is BC ≅ QR

2a) The symbolic form of the given congruent triangles is expressed as;

ΔABC ≅ ΔADC

2b) The congruence postulate that was used here is SAS Congruency postulate.

Read more about Congruency Postulates at; https://brainly.com/question/28039171

#SPJ1

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

To know more about combination visit:

brainly.com/question/30469166

#SPJ11

Answer:

1. 4 and 8

Step-by-step explanation:

8-4=4

4+4+4+8+8=28

Answer:

you can solve the equations using the roots formula and then find the values from the range that they've given you

then you just have to plot the graph and connect the dots to make a line

Answer:

Step-by-step explanation:

Classical probability assumes that all outcomes in the sample space are equally likely to occur. For example, when a single die is rolled, each outcome has the same prob- ability of occurring.

Step-by-step explanation:

4 Dark power crystals => 14 Zombie soldiers

10 Dark power crystals => 14 * (10/4) = 35 Zombie soldiers.

Liliana is able to raise 35 Zombie soldiers.

Answer:

0.35

Step-by-step explanation:

14÷4=3.5

10÷3.5=0.35

I am so sorry if this is not the right answer/formula!

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

To learn more about logarithm click here: brainly.com/question/30226560

#SPJ11

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.

Standard deviation is a measure of how spread out numbers are in a data set. It is calculated by taking the square root of the variance. Variance is the average of the squared differences from the mean. Standard deviation provides an indication of how much variation there is in the data set, and is often used in statistical analysis.

The range rule of thumb is a statistical method used to determine whether a given phenomenon is significantly different from an expected value. It states that if the range of observed values is greater than two standard deviations of the expected value, then the observed values are significantly different from the expected value.

In this particular case, the expected value is 10 girls in 10 births, and the observed value is 1 girl in 10 births. Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.

The range rule of thumb is one way to determine whether observed values are significantly different from expected values, but there are other methods available as well.

For more questions related to variance

https://brainly.com/question/25639778

#SPJ1

Answer:

d) 1 11/16

Step-by-step explanation:

Given problem,

→ 12 ÷ (2 + 2/3)²

Let's solve the problem,

→ 12 ÷ (2 + 2/3)²

→ 12 ÷ ((6 + 2)/3)²

→ 12 ÷ (8/3)²

→ 12 ÷ (64/9)

→ 12 × (9/64)

→ 108/64

→ 27/16 = 1 11/16

Hence, answer is 1 11/16.

Step-by-step explanation:

\(35 + 35 = 70\)

\(180 - 70 = 110\)

\(180 - 110 = 70\)

\(70 + 70 = 140\)

\(180 - 140 = 40 \)

so the answer is 40

In a Cartesian coordinate system, there are four quadrants that are used to help identify the location of points. The four quadrants are numbered I, II, III, and IV, and are named based on their location in relation to the origin.

The first quadrant, also known as Quadrant I, is the top right quadrant. It is located above the x-axis and to the right of the y-axis. Points in this quadrant have positive x and y values.

The second quadrant, also known as Quadrant II, is the top left quadrant. It is located above the x-axis and to the left of the y-axis. Points in this quadrant have negative x values and positive y values.

The third quadrant, also known as Quadrant III, is the bottom left quadrant. It is located below the x-axis and to the left of the y-axis. Points in this quadrant have negative x and y values.

The fourth quadrant, also known as Quadrant IV, is the bottom right quadrant. It is located below the x-axis and to the right of the y-axis. Points in this quadrant have positive x values and negative y values.

An ordered pair is a pair of numbers that are used to identify a point on a coordinate plane. For example, (3,4) is an ordered pair that represents the point 3 units to the right of the y-axis and 4 units above the x-axis.

The origin, also known as the point (0,0), is the point where the x-axis and y-axis intersect. It is the starting point from which all other points on the plane are measured.

In summary, In a Cartesian coordinate system, there are four quadrants that are used to help identify the location of points: Quadrant I is the top right quadrant, Quadrant II is the top left quadrant, Quadrant III is the bottom left quadrant, and Quadrant IV is the bottom right quadrant.

An ordered pair is a pair of numbers that are used to identify a point on a coordinate plane. The origin, also known as the point (0,0), is the point where the x-axis and y-axis intersect. It is the starting point from which all other points on the plane are measured.

to know more about quadrant refer here

https://brainly.com/question/30051566#

#SPJ11

Answer:

the answer is B. i just took the quiz

Step-by-step explanation:

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

Learn more about Standard Deviation here:

https://brainly.in/question/50665860

#SPJ11

Answer:

$2

Step-by-step explanation:

\(23-3x=17\)

\(-3x=-6\)

\(x=2\)

Therefore, each raffle ticket cost $2.

Answer:

Each raffle ticket cost $2.

Step-by-step explanation:

Figure out how much you spent on all the tickets

23-17= 6

Divide the amount of money you spent by the amount of tickets bought to get the unit price

6/3=2

Hope this helps:) Have a good day!

Answer:

The correct answer is 5b²-b-2

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

Probability https://brainly.com/question/13604758

#SPJ11

Answer:

x + 2

Step-by-step explanation:

f(x + 3) - g(x + 3)

= 2(x + 3) - 3 - (x + 3 - 2)

= 2x + 6 - 3 -(x + 1)

= 2x + 3 - x - 1

= x + 2

Answer:

(5,4)

Step-by-step explanation:

To solve a system of equations by substitution, you need to solve one of the equations for one variable (either x or y). In this case, we can solve the second equation for x: x=2y-3. Then substitute this expression into the first equation and solve for y: 5(2y-3)-y=21. Solving for y gives us y=4. Substitute this value back into the second equation and solve for x: x=2(4)-3=5. Therefore, the solution is (5,4).

yw;)

For the function to be a linear, D. a = 20 because the rate of change is –3.

The rate of change = change in y / change in x.

Therefore, for the function to be linear, the rate of change must be the same across the table of values.

Using, (4, 26) and (5, 23):

Rate of change = (26 - 23)/(4 - 5)

Rate of change = (3)/(1) = -3

Using (5, 23) and (6, a), we have:

(23 - a)/(5 - 6) = -3

(23 - a)/(-1) = -3

23 - a = (-3)(-1)

23 - a = 3

-a = 3 - 23

-a = -20

a = 20

Therefore, the answer is: D. a = 20 because the rate of change is –3.

Learn more about the rate of change on:

https://brainly.com/question/8728504

#SPJ1

Answer:

3.28833605E+18 (Scientific Notation, for example, aE+b = a × 10^b) [ 3,288,336,052,853,678,818 ]

Step-by-step explanation:

123-20+8,098*67^8 =

(123 - 20) + (8,098 × 67^8)

103 + (8,098 × 67^8)

103 + 3,288,336,052,853,678,715 [3.28833605285367815E+18] =

3,288,336,052,853,678,818 [3.28833605285367815E+18]

≈ 3.28833605E+18

This is due to the order of operations, that defines the mathematical steps to solve arithmetic problems. This is known as PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction).

So each part of the expression must be worked out in a certain order to get the correct answer.

Marc saved $2,533  in January than in December.

Step by Step calculation.

Given the details below :

Salary In December =$3,650

In January, Increased by 12%

Marc saves 30% of $3,650 in December

New salary can then be calculated as :

= Initial salary * % increase / 100 + Initial salary

= 3,650 * 12 / 100 + 3,650

= 3,650 * 0.12 + 3,650

= 4,088

The difference will now be

= 4,088 - 3650

= $438

Since Marc saves in December 30% of $3,650

= 30% of $3,650

= $1,095

Saves in January

= 1,095 + 438

= $2,533

Learn more here : https://brainly.in/question/36065141

The hypotheses for the chi-square test for independence is:

The null hypothesis holds that staff friendliness and greetings are unrelated. Ha, the other view holds that staff friendliness and greetings are interdependent.

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A hypothesis in mathematics is an unproven claim that is backed up by all the information that is known as well as numerous weaker findings.

Given,

Cross-tabulation shows the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first.

Hypothesis for the chi-square test for independence,

The null hypothesis holds that staff friendliness and greetings are unrelated.

Ha, the other view holds that staff friendliness and greetings are interdependent.

To learn more about hypothesis, visit:

https://brainly.com/question/13025783

#SPJ4

Answer:

Dependent

Step-by-step explanation:

Two events are said to be dependent when the outcome of the first event is  related to the other.

When two events, A and B are dependent, the probability of occurrence of A and B is:

P(A and B) = P(A) · P(B|A)

https://brainly.com/question/13604758

#SPJ4

Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

If two events A and B depend on each other, then the probability  of A and B occurring is

P(A and B) = P(A)  P(B|A)

Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

Learn more about dependent events here

https://brainly.com/question/27692683

#SPJ4

The range of possible lengths for the third side be

0 ft < x < 76 ft

0 ft < x < 33 ft

Given, two sides of a triangle

we have to find the range of possible length for the third side of the triangle.

a) 24 ft and 52 ft

given first side of the triangle be, 24 ft

and second side of the triangle be, 52 ft

as we know that the third side should be less than the sum of the remaining two sides of any triangle.

So, let the third side be x

x < 24 + 52

x < 76

Therefore, the third side should be less than 76 ft and obviously greater than 0 ft.

Range of the third side be, 0 ft < x < 76 ft

b) 16 ft and 17 ft

given first side of the triangle be, 16 ft

and second side of the triangle be, 17 ft

as we know that the third side should be less than the sum of the remaining two sides of any triangle.

So, let the third side be x

x < 16 + 17

x < 33

Therefore, the third side should be less than 33 ft and obviously greater than 0 ft.

Range of the third side be, 0 ft < x < 33 ft

Hence, the range of possible lengths for the third side be

0 ft < x < 76 ft

0 ft < x < 33 ft

Learn more about Sides of Triangles here https://brainly.com/question/22407545

#SPJ4

jrjejrjŕjwjskskskskskskksksksksksksks

Answer:

Your number is 0.5, 2/4, or 1/2

Step-by-step explanation:

You need to set up your equation and then solve for x. We know that quadruple your number (x) plus 7 equals -5. Quadruple your number is the same as multiplying by 4. So it would be 4x + 7 = -5. We add seven to both sides and that would leave us with 4x = 2. Then we divide both sides by 4 to get x on it's own. x = 2/4 or 1/2