ABCD is a trapezium. Calculate the area of ABCD

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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Answer:

∠1 = 56

Step-by-step explanation:

To find ∠1 we need to

∠1 + ∠2 = ∠ABD

∠1 + 17 = 75

∠1 = 75 -17

∠1 = 56

Answer:

m>7

Step-by-step explanation:

-7m+10<-39

-7m<-39-10

-7m<-49

7m>49

m>7

Answer: b

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

you have to divide it so 7 1/2 ÷ 1 1/2

15/2 × 3/2 then you swap the 3/2 to 2/3 so it will be 15/2 × 2/3 you don't have to cross multiplication so you just multiply across so it would be 15×3=30 and then 2×3=6 so it would be 30/6 but that's not the final answer because it and improper fractions so you divide 30÷6=5 and that's how you get 5

Suppose a system of equations has 3 equations and 5 variables. additionally, suppose the coefficient matrix for the system has 3 pivot columns. Based on the information provided, it is consistent.

The number of pivot columns in the coefficient matrix of a system of equations determines the rank of the matrix, which is a measure of the number of linearly independent rows or columns. A system of equations is consistent if and only if the rank of the coefficient matrix is equal to the number of unknowns in the system.

In this case, the system has 3 equations and 5 variables, so it is not immediately clear if the rank of the coefficient matrix is equal to the number of unknowns. Additionally, the number of pivot columns alone is not enough to determine the consistency of the system, as there may be additional relationships between the variables that affect the rank.

So,  Based on the information provided, it is consistent.

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Answer:b B A

Step-by-step explanation:

Answer:

i dont know sorry

Step-by-step explanation:

Answer:

1) $324

2) $630

3) $1254

4) $647.50

Step-by-step explanation:

1) $9.00hr times 36 hours = $324

2) $14.00 hr times 45 hours= $630

3) $22 hr times 57 hours = $1254

4) $18.50 hr times 35 hours =$647.50

Answer:

Multiply the first equation by 2

2(2x+y=5) to get 4x + 2y = 10

add the second equation 3x-2y=4

4x + 3x + 2y + -2y = 10 + 4

7x = 14

x = 2

...

Multiply the first equation by 3 and the second equation by -2 then add

3(2x+y=5) to get 6x + 3y = 15

-2(3x-2y=4) to get -6x + 4y = -8

add them

6x + -6x + 3y + 4y = 15 + -8

7y = 7

y = 1

...

x = 2 , y = 1

(2, 1) is the solution

...

check

2(2) + 1 = 5

4 + 1 = 5

5 = 5

Correct

Hope it helps

Please mark me as the brainliest

Thank you

The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.

In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:

C(8,5) = 56

The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:

C(1,2) * C(7,3) = 35

Therefore, the probability of drawing the blue marble twice is:

P = 35/56 = 0.625.

The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

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Answer: The water will start to boil.

Step-by-step explanation: Water boils at 100 C.

Answer:

I will boil I hope this answer was good!

Answer:

blip

Step-by-step explanation:

blipgg

Answer:

a. .02 * .02 = .0004  

b. (1 - .02 - .19) = .79; .79*.79 = .6241

Step-by-step explanation:

The probability that the bus will arrive on time next two days is 0.79, The probability that the bus will arrive early next two days is 0.0004.

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

Probability that the bus will be late is 0.19

Probability that the bus will be early is 0.02.

The probability that the bus will arrive early next two days is

= 0.02 * 0.02

=0.0004

The probability of coming early one day is small and the probability that it will come early two days in a row is smaller.

The probability that the bus will arrive on time next two days

= (1 - 0.02 -0.19) = 0.79

The probability that the bus will come on time is more as the probability of coming early or late is less.

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The correct answer is Probability and non probability sampling procedure.

There are two distinct exits from sampling procedures.

There are two types of sampling: probability sampling and non-probability sampling.

In probability sampling each population has equal and independent chance to comes in the study . There are various types of probability samplings technique exists . These are simple random sampling , stratified random sampling, cluster sampling , systematic random sampling etc.

In non probability sampling the samples are selected on the basis of personal biasness, judgments and preferences. Judgemental sampling , quota sampling, dimensional sampling etc comes under this type of sampling procedure.

So here the correct answer is

Option -E- Probability and non probability sampling procedure.

Except it all other options are wrong.

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Answer:

27,150

Step-by-step explanation:

PLEASE GIVE BRAINLIEST AND THANKS

Answer: 27, 150

Step-by-step explanation:

just round it...?

Answer:

Ratio of two corresponding sides of the similar kites = 3/8

Step-by-step explanation:

A kite has two pairs of congruent consecutive sides

Perimeter of a kite, P = 2(a + b)

Let the sides of the first kite be a and b; and the side of the second kite be e and f

Kite ABCD:

24 = 2(a + b)

12 = a + b

a = 12 - b

Kite EFGH

64 = 2(e + f)

32 = e + f

e = 32 - f

For a kite to be similar, the ratio of the side must be the same.

Considering a to correspond to e and b to correspond to f, therefore:

b/f = 12 - b/32 - f

32b - bf = 12f - bf

32b = 12f

b/f = 12/32

b/f = 3/8

The statement "In the statement ~(M ⊃ X)~) governs the simple statement M" is false

From the question, we have the following parameters that can be used in our computation:

In the statement ~(M ⊃ X)~) governs the simple statement M.

In logic and binary, the negation of an implication (M ⊃ X) is written as ~(M ⊃ X), which is read as "not (M implies X)".

This statement does not govern or control the simple statement M. The simple statement M can be true or false independently of the negation of the implication.

In other words, the truth value of ~(M ⊃ X)is dependent on the truth values of both M and X, not just M.

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The cost to rent each chair is $3, and the cost to rent each table is $5.

Let's denote the cost to rent each chair by c and the cost to rent each table by t.

From the problem statement, we have the following two equations:

3c + 5t = 37

12c + 2t = 31

We can solve for c and t by using elimination or substitution. Let's use substitution.

From the first equation, we can solve for c in terms of t:

c = (37 - 5t) / 3

Substituting this expression for c into the second equation, we get:

12((37 - 5t) / 3) + 2t = 31

Simplifying and solving for t:

74t - 166 = 0

t = 2.24

Now we can use either of the two original equations to solve for c. Let's use the first equation:

3c + 5(2.24) = 37

Solving for c:

c = 3

Therefore, the cost to rent each chair is $3, and the cost to rent each table is $5.

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The function g(x) that satisfies the given conditions is \(g(x) = -256 - x^4 + 3x.\)It has a derivative of \(g'(x) = -512 - x^3\) and its maximum value is 3.

To find the function g(x) that satisfies the given conditions, we start by integrating the derivative \(g'(x) = -512 - x^3.\) The integral of -512 gives -512x, and the integral of \(-x^3\) gives\(-(1/4)x^4\). Adding these terms together, we have the general antiderivative of g(x) as \(-512x - (1/4)x^4 + C\), where C is a constant of integration.

Next, we apply the condition that the maximum value of g(x) is 3. To find this maximum value, we take the derivative of g(x) and set it equal to 0, since the maximum occurs at a critical point. Taking the derivative of g(x) = \(-512x - (1/4)x^4 + C\), we get g'(x) = \(-512 - x^3\).

Setting g'(x) = \(-512 - x^3 = 0\), we solve for x to find the critical point. By solving this equation, we find x = -8. Substituting this value back into g(x), we have g(-8) =\(-256 - (-8)^4 + 3(-8) = 3\). Thus, the function g(x) = \(-256 - x^4 + 3x\) satisfies the given conditions, with a derivative of g'(x) = -\(512 - x^3\) and a maximum value of 3.

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Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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Answer:

4 hours

Step-by-step explanation:

the cost of movie is $48

means they have $32 left with them

parking charge is $8 (32/8= 4)

means they can spend 4 hours in Emeryville

Answer:

Step-by-step explanation:

Question A

Using the proportions of similar triangles:

Question B

A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one

A function is defined as a relation between a set of inputs having one output each.

we need to check correspondence of the function f(x) = 2x + 5.

f(x)=2x+5

f'(x)=2

i.e increasing function (one-one).

But it is not onto because f(x) does not take all values in N.

Range of f(x)=Codomain.

It is a one one function.

Therefore the given function f(x)=2x+5 is a one one function.

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Answer:

The answer is in the picture below

Step-by-step explanation:

Answer:

First option: 336

Step-by-step explanation:

To find the answer, separately solve for each of the shapes.

1. The base is the square so length times width is the formula:

12 x 12 = 144

144 is the area of the square

Next, find the 4 triangles which are congruent(the same).

Triangle area formula: Base x Height divided by 2.

So, the area of 1 triangle is 12 x 8 =96

96/2 = 48

Area =48

Because there are 4 triangles, do 48 x 4=192.

Finally, add the area together and you should get 192+144 =336 ft^2

Surface area = 336 ft^2

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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A. The product representing the area of a cell phone screen with an aspect ratio of 16:9 is (16x) * (9x) = 144x². The first factor, 16x, represents the height of the screen, and the second factor, 9x, represents the width of the screen. B. The product representing the area of a cell phone screen with an aspect ratio of 18:9 is (18x) * (9x) = 162x². The first factor, 18x, represents the height of the screen, and the second factor, 9x, represents the width of the screen. C. To find the areas of the screens from Parts A and B, we need to evaluate the products. For the screen in Part A, the area is 144x², and for the screen in Part B, the area is 162x².

If we use the same scale factor, x, the areas of the screens are directly proportional to the squares of their respective aspect ratios. In this case, the aspect ratio of 16:9 has a smaller area (144x²) compared to the aspect ratio of 18:9 (162x²) when using the same scale factor.

A. To find the product representing the area of a cell phone screen with an aspect ratio of 16:9, we multiply the height and width of the screen using a scale factor x. The height is 16x, and the width is 9x. Therefore, the product is (16x) * (9x) = 144x².

B. Similarly, to find the product representing the area of a cell phone screen with an aspect ratio of 18:9, we multiply the height and width of the screen using a scale factor x. The height is 18x, and the width is 9x. Therefore, the product is (18x) * (9x) = 162x².

C. To compare the areas of the screens from Parts A and B, we evaluate the products. The area of the screen in Part A is 144x², and the area of the screen in Part B is 162x².

If we use the same scale factor, x, to calculate the areas, we can observe that the areas are directly proportional to the squares of their respective aspect ratios. Therefore, the screen with an aspect ratio of 18:9 (162x²) has a larger area compared to the screen with an aspect ratio of 16:9 (144x²) when using the same scale factor.

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Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, let's plug in the values we have:

m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2

Now we can use either point to find the equation. Let's use (-10, 3):

y - 3 = (-11/2)(x - (-10))

y - 3 = (-11/2)x - 55/2

y = (-11/2)x - 49/2

So the equation of the line through (-10, 3) and (-8, -8) is:

y = (-11/2)x - 49/2.

Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

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