What is the area of 14cm and 12cm
​

Answer:

12)x=26.125°

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

13)x=52°

∠L=52°

∠J =45°

∠K =69°

14)x=11°

∠C = 36°

∠D =36°

∠B = 108°

15)x=7

WX = 52

WY=52

XY =29

Step-by-step explanation:

12)In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

\(x=\frac{180+29}{8}\)

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

∠Q =x-5=26.125-5=21.125°

∠R=2x-9=2(26.125)-9=43.25°

13)  In ∆JKL

Let the angle L be x

∠L=x

∠J is seven less than ∠L=x-7

∠K is 21 less than twice ∠L=2x-21

Angle sum property of triangle : The sum of all angles of triangle is 180°

So, x+x-7+2x-21=180°

4x-28=180°

4x=180+28

\(x=\frac{180+28}{4}\)

x=52

∠L=x=52°

∠J =x-7=52-7=45°

∠K =2x-21=2(45)-21=69°

14)In ∆BCD

BC ≅ BD(Given)

Opposite angles of equal sides are equal

So, ∠C =∠D

∠C = 5x – 19

∠D = 2x + 14

So, 5x-19=2x+14

3x=33

x=11

∠C = 5x – 19=5(11)-19=36°

∠D = 2x + 14=2(11)+14=36°

∠B = 13x – 35=13(11)-35=108°

15) In ∆WXY

∠X ≅ ∠Y(Given)

Opposite sides of equal angles are equal

WY=WX

WX = 9x – 11

WY = 7x – 3

So, 9x-11=7x-3

2x=14

x=7

So, WX = 9x – 11=9(7)-11=52

WY=52

XY = 4x + 1=4(7)+1=29

The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

What is Symbolic notation?

Symbolic notation is a way of representing the counting numbers by writing a simple symbol.

Now,

For the false statement we use the symbol ( ~ ).

If in the statement the word ''or'' is present then we use the symbol ''∧'' and for the word ''and'' we use the symbol ''∨''.

Hence,

For the statement;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

Both are truth and with the word ''or'', then the symbolic notation,

⇒ p ∧ q

For the statement;

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

One statement is truth and second is false , then the symbolic notation,

⇒ p ∨ ~ q

For the statement;

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

First statement is false and second is truth , then the symbolic notation,

⇒ ~ p ∧ q

For the statement;

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

Both are truth and with the word ''and'', then the symbolic notation,

⇒ p ∨ q

So, The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

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Answer: -1/7

Step-by-step explanation:

You need rise/run You rise downward which gives you a negative and you rise downward 1 and run to the right 7 so -1/7

Answer:

y = 7x^2  + 42x + 64

Step-by-step explanation:

... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps

Answer:

y = 7 x ^2 + 42 x + 64

Step-by-step explanation:

Step-by-step explanation:

hello , you have a picture to post it will be easier to help you since the question asking to matches the column A to B .

2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

y = 0.08x - 2.50

Where x is the number of copies and y is the cost of printing x copies.

Now,

From the equation,

y = 0.08x - 2.50

2.50 is the coupon amount.

0.08 is the cost for one copy.

Thus,

2.50 is the coupon amount.

0.08 is the cost for one copy.

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x = −32

lllllllllllllllllllllllllllllllllllllllllll

The planning value for the population standard deviation is unknown and must be estimated. Since a large enough sample size is selected (say n > 30), the sample standard deviation s is typically a decent approximation of σ.

Therefore, to obtain σ, use the formula for s and replace s with its symbol in the formula to get the estimate of (Rounded to the nearest whole number) Here, σ is the planning value for the population standard deviation. The margin of error (E) is the difference between the true population mean μ and the sample mean .

In this scenario, the margin of error (E) is $300, thus E = $300. Therefore, solving for the required sample size:n = (zα/2)^2 * σ^2 / E^2We are given: σ = 2500, E = $300 and the confidence level is 95%. This implies that α = 0.05, hence zα/2 = z0.025 = 1.96 (from z-distribution table). Substituting the values:n = (1.96)^2 * 2500 / 300^2= 105.51 ≈ 106Sample size required is 106 (rounded to the nearest whole number). Here, the sample size is 0.003 which is practically impossible. Thus, the required margin of error should not be pursued.

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Answer:

∠ ADB = 59°

Step-by-step explanation:

The vertices of a rectangle are right angles, then

∠ ADB + 31° = 90° ( subtract 31° from both sides )

∠ ADB = 59°

Answer:

the answer is c

Step-by-step explanation:

edge 2020

The correct option is (C). No, because the sum of the probabilities is more than one.

In mathematics, a probability distribution is a function that expresses the likelihood of many possible values for a variable. Graphs and probability tables are common ways of displaying probability distributions.

In the given table, the probabilities are,

P(x) = 0.2, 0.3, 0.4, 0.1 and 0.05.

The sum of the probabilities = 0.2 + 0.3 + 0.4 + 0.1 + 0.05

                                                = 1.05

Since, the sum of the probabilities is more than one, therefore, the table does not represent the probability distribution.

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Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

Answer:

yes you're right it is 14 + 28p = 315

Answer:

C

Step-by-step explanation:

I had this question edge 2021

The square numbers are 9x10^4, 9x10^3 .

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Answer:

x=23

Step-by-step explanation:

because its right

Answer:

x=23

Step-by-step explanation:

Answer:

$2.81

Step-by-step explanation:

Answer:

x=4 I'm sorry that I used

Jorge has a ticket has a probability of 0.3 of winning a prize. after seven days, probability that jorge has won at least one prize is 0.9176

Let the probability of Jorge winning be 0.3 so ,

Probability of not winning be (1-0.3)⁷

(0.7)⁷

= 0.0823

Therefore, Jorge not winning is 0.0823.

If he wins at least one prize is,

1 - P(win nothing)

1 - 0.0823

= 0.9176

Therefore, the probability that the Jorge wins at least one prize is 0.9176.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

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The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

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The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

The probability of selecting a green ball is \($\frac{10}{14}$\).

This can be calculated using the formula for probability,\($P(A) = \frac{n(A)}\)\({n(S)}$\), where n(A) is the number of favorable outcomes and n(S) is the total number of possible outcomes.

In this problem, there are three possible containers that can be selected. The first contains 8 red balls and 4 green balls, the second contains 2 red balls and 4 green balls, and the third contains 2 red balls and 4 green balls.

Therefore, the total number of possible outcomes is 14 (8 + 4 + 2 + 4 + 2 + 4).

The number of favorable outcomes is 10 (4 + 4 + 2).

Therefore, the probability of selecting a green ball is \($\frac{10}{14}$\)

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When each ticket costs $2, and the prize for the winner is $50 then the cheerleading squad needs to sell at least 88 tickets to raise $175.

The cheerleading squad wants to raise $175 through their raffle ticket sales.

Each ticket costs $2, and the prize for the winner is $50. We need to determine how many tickets the team needs to sell to reach their fundraising goal.

Let's assume the number of tickets the team needs to sell is 'x'.

Since each ticket costs $2, the total revenue generated from ticket sales can be calculated as 2 * x.

To reach their fundraising goal of $175, the total revenue from ticket sales should be equal to $175.

Therefore, we can set up the equation:

2 * x = 175

Solving for 'x', we divide both sides of the equation by 2:

x = 175 / 2

Simplifying further, we get:

x = 87.5

Since we cannot sell a fractional number of tickets, we round up the value to the nearest whole number.

Therefore, the cheerleading squad needs to sell at least 88 tickets to raise $175.

It's worth noting that selling exactly 87 tickets would only generate $174 in revenue, which is less than the fundraising goal.

Hence, they need to sell a minimum of 88 tickets to reach or exceed their target of $175.

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Answer:

Step-by-step explanation:

GCF of 9,12 and 6 is 3. 3 can go into both evenly

Answer:

the answer is 3.

Step-by-step explanation:

3"2=6

3*3=9

3*4=12

hope this helps and feel free to give brainiest

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

Answer:

Tha answer is C.

Step-by-step explanation:

As you can see in there that -3 is a repeating number.

(a) A relation on A that is symmetric but not transitive:

In this case, let's assume A = {a, b, c}.

To create a relation that is symmetric but not transitive, we can set up the following directed graph:

  a   b   c

┌───┐ │ ┌───┐

│   │ │ │   │

└───┘ │ └───┘

  │   │

┌───┐ │

│   │ │

└───┘ │

  └───┘

In this graph, there are directed edges between 'a' and 'b', 'b' and 'a', 'b' and 'c', and 'c' and 'b'. However, there is no directed edge between 'a' and 'c' or 'c' and 'a'. This satisfies the condition of symmetry but fails the transitivity condition.

(b) A relation on A that is transitive but not symmetric:

Again, considering A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ └───┐

│   │ ┌───┘

└───┘ │

  └───┘

In this graph, there is a directed edge from 'a' to 'b', 'b' to 'c', and 'a' to 'c'. However, there is no directed edge from 'b' to 'a' or 'c' to 'b'. This satisfies the condition of transitivity but fails the symmetry condition.

(c) A relation on A that is symmetric and transitive but not reflexive on A:

Using A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ └───┐

│   │ ┌───┘

└───┘

In this graph, there are directed edges between 'a' and 'b', 'b' and 'a', 'b' and 'c', and 'c' and 'b'. The graph satisfies the symmetry and transitivity conditions. However, there are no loops or self-edges, indicating that the relation is not reflexive.

(d) A relation on A that is not reflexive, not symmetric, and not transitive:

For this case, we can set up the following directed graph:

css

Copy code

  a   b   c

┌───┐ ┌───┐

│   │ │   │

└───┘ └───┘

In this graph, there are no directed edges between any pair of elements. Since there are no directed edges, the relation fails to satisfy reflexivity, symmetry, and transitivity.

(e) An equivalence relation on A (other than the identity relation):

Considering A = {a, b, c}, we can set up the following directed graph:

  a   b   c

┌───┐ ┌───┐

│   │ │   │

└───┘ └───┘

In this graph, there is a directed edge between each pair of elements, including loops or self-edges. This graph represents the equivalence relation where every element is related to itself, and all elements are related to each other.

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Answer:

i think it would be 31.5 inches??

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The first step is to locate the median.

The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.

- 2,  0,  1,  7,  9,  10 ← ascending order

              ↑ middle

median = \(\frac{1+7}{2}\) = \(\frac{8}{2}\) = 4

The lower quartile Q₁ is the middle value of the numbers to the left of the median, that is

- 2,  0,  1

       ↑

lower quartile Q₁ = 0

The frequency table is:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.

The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15

The frequency table can be written as:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.

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