Determine the length of each side of quadrilateral ABCD.Side ABSide CDSide AD

Answer:3.8

Step-by-step explanation:

Answer:

Formula - \(42.5/4^2\\\)

\((perimeter/4^2)\)

\(42.5/4 = 10.625\)

\(10.625^2 = 112.890625\)

Answer - 112.890625

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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Answer:

\(A) x+y=100 \\ ..\ 5x + y = 420\)

Step-by-step explanation:

From the question we are told that:

Five-dollar bill  x

One-dollar bill  y

Total number of bills \(N=100\)

Worth of bills \(w=420\)

Generally the equation for Total number of bills  is mathematically given by

Since it is made up of five and one dollar bills

Therefore

  \(x+y=100\)

Hence the Equation for Total worth of bills is

 \(5x+y=420\)

The System of equations used is

\(A) x+y=100 \\ ..\ 5x + y = 420\)

hope this helps

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aman10we

The value of x after solving this equation is 2

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here, the equation as : (4x - 5)^4 = 81.​

(4x - 5)^4 = 3⁴.​

4x - 5    = 3

      x     = 2

Hence, the value of x is equal to 2

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Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

Well that would be great for the fifth grade class

Step-by-step explanation:

Answer:

Lol that would be cool

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample space for pens is

5 red pens, 6 blue pens, 3 black pens,(5+6+3)= 14pens

The sample space for paper is

4 silver paper clips and 16 white (4+16)=20 papers

The probability of selecting a black pen and white paper

Pr(black pen)*Pr(white paper)

=3/14*16/20

=48/280

= 14/70

= 2/10

= 1/5

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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The Slope Intercept Form is y = -11

What is Slope?

The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line. The letter m is frequently used to represent slope; there is no obvious answer to why the letter m is chosen for slope.

Solution:

Given:

(x1 , y1) = (-5, -11) and

(x2, y2) = (3, -11)

Slope = y2 -y1 / x2 - x1 = -11+11 / 3+5

Slope = 0

Point Slope Form:

y - y1 = m (x - x1)

y + 11 = 0

Slope Inetrcept Form:

y = mx + b

y = 0 - 11

y = -11

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The orbital increased by factor \(2^3^/^2\) .Hence, correctander is option D by equation  T²=A³

The relationship between a planet’s orbital period(T) and the planet’s mean distance from the sun(A)  is given by equation T²=A³

Given equation is T²=A³

The distance between the planet X and sun is represented by d

Time-period of the planet X:

T²=d³

Distance between planet Y and the sun is represented by d'

d'= 2d

T'²=d'² = (2d)³ = 8d³

On dividing  (1)and (2).

T'/T = 8d³/d³

=8

=2√2

=\(2^3^/^2\)

Hence, the orbital increased by factor \(2^3^/^2\) .

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The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased? A. 2^1/3. B. 2^1/2. C. 2^2/3. D. 2^3/2

Answer:

2.88 markup per rose

Step-by-step explanation:

12.24/12 = 1.02 per rose

46.8/12 = 3.9 per rose

3.9 - 1.02 = 2.88 markup per rose

there you go i think

Answer: 3/4

Step-by-step explanation:

\(\sin \theta=\frac{\text{opposite}}{\text{adjacent}}\\\sin \theta=\frac{9}{12}=3/4\)

From the given below solution the value of m EF is 25%.

A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.

Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.

To find m EF, we need to add the percentages of participation in sports E and F:

m EF = percentage of participation in sports E + percentage of participation in sports F

m EF = 11% + 14%

m EF = 25%

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The probability that the animal patient is NOT a bird as a simplified fraction is 11/13.

What is probability?

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

As given in the question,

Number of dog patients is 5,

Number of cat patients is 6, and

Number of bird patients is 2.

So,

Total number of animal patients = 5 + 6 +2 = 13

Total number of ways of picking 1 animal patient = 13C1 = 13

Number of patients that are NOT birds = 11

So,

probability that the animal patient picked is not a BIRD = 11C1 / 13C1 = 11/13

Therefore, the probability that the animal patient is NOT a bird is 11/13.

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Answer:

A

Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum

If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk. Erin would  have enough buttermilk for the recipe (2).

1.2. Convert the units of measurement to a common unit.

Erin has:

150 ml of buttermilk

Recipe requires 0.25 cups of buttermilk.

1 cup=  236.59 ml

So,

0.25 cups = 0.25 * 236.59 = 59.15 ml

Therefore Erin has enough buttermilk for the recipe.

1.3. The cake recipe calls for the following ingredients:

0.8 kg of flour

650 g of sugar

900,000 mg of butter

Simplify the units by converting them to a common unit

0.8 kg = 0.8 * 1000 g = 800 g

650 g = 650 g (no conversion needed)

900,000 mg = 900,000 mg / 1000 = 900 g

Therefore the required amounts of the ingredients are: 800 g of flour, 650 g of sugar, 900 g of butter.

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Answer:

Table 20.

Step-by-step explanation:

Find the LCM of 4 and 5,

4, 8, 12, 16, 20

5, 10, 15, 20, 25

20 is the LCM of 4 and 5.

Hence giving 20 as the answer.

Answer:

20

Step-by-step explanation:

Answer:

Hi mate

The right angled triangle is the best name for it

Because it has an right angle or 90 degree angke

Step-by-step explanation:

Answer:

thz for my points back lol.///.//

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

Answer:

jet weighs 74 pound

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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Answer:

$51

Step-by-step explanation:

$85 x 0.60