8. a) In the adjoining diagram, ABCD is a parallogram, if AB=16cm, AE=12cm and AEICD, find the area ofAED + BEC.​

Answer:

61

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

the explicit formula for a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{12}{-4}\) = - 3 , then

\(a_{n}\) = - 4 \((-3)^{n-1}\)

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

The result is :

Check if each element in x is an odd number:
- 9 is odd,- 3 is odd,- 0even,- 2 is even

I understand that you need help with finding the outputs of compound relational and logical statements involving the vectors x = [9, 3, 0, 2] and y = [3, 8, 0, 1]. Please find the outputs below:

a. m = (x == 4)
The output for m is [false, false, false, false] as none of the elements in vector x are equal to 4.

b. n = (x == 4)
The output for n is the same as m, [false, false, false, false], since it is the same comparison.

c. k = ((x == 4) XOR (x ~= y))
For each element, we compare if x == 4 (false for all elements) XOR (x is not equal to y):
- (false XOR true) = true
- (false XOR true) = true
- (false XOR false) = false
- (false XOR true) = true
The output for k is [true, true, false, true].

d. Test for odd numbers in x:
0
The output for testing odd numbers in vector x is [true, true, false, false].

Please note that the last part of your question seems irrelevant, so I focused on answering the main queries about the vectors and logical statements.

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Answer:

Step-by-step explanation:

-0.74 + 0.44x = -0.3x

-0.3x = 7.2

It would be easier if you multiplied them by 10

-3x = 72

72/-3 = x

x = -24

Answer:

I think that the middle one has the answer of 12, 24, 36, and 48.

Answer: i think the middle one is 24 ?

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

2 : 3

divide both numbers by 14

Answer:

x = 20

Step-by-step explanation:

4x + 5x = 9x

9x = 180 (supplementary angles add up to 180 degrees)

Divide 180/9 = 20

Answer:

x = 20.

Step-by-step explanation:

Supplementary angles sum to 180, so:

4x + 5x = 180

9x =  180

x = 20.

Answer:

In geometry, a straight angle is an angle, whose vertex point has a value of 180 degrees. Basically, it forms a straight line, whose sides lie in opposite directions from the vertex. It is also termed as “flat angles”.

First term (a1) = -7

Second term (a2) = -2

Common difference: a2 - a1 = -2-(-7) = 5

Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13

The surface area of the triangular prism is 153 cm².

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The area of the triangular prism is the sum of the area of the rectangle and the area of the triangle, therefore, the area of the prism will be,

Area = A + B + C

        =(9 × 15) + (0.5×6×3) + (0.5×6×3)

        = 135 + 9 + 9

        = 153 cm²

Hence, the surface area of the triangular prism is 153 cm².

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Answer:

9*5 + 6*9 + 9*4 + 1/2*6*3 + 1/2*6*3

=1872+1/2*6*3+1/2*6*3

=1872+18

=1890cm²

Surface area= 1890cm²

it is 80.

so for starters you draw yourself two triangels. than you can get z angle by substracting 70+90 from 180 and you get 40 degrees. after that you substract 50+90 from 180 and you get y=60 degrees. lastly you see that x+y+z=180 so 180-60-40=x=80 degrees

Answer:

\( \sf \: x = 60°\)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ 70° + x + 50° = 180°

Now the value of x will be,

→ 70° + x + 50° = 180°

→ (70° + 50°) + x = 180°

→ 120° + x = 180°

→ x = 180° - 120°

→ [ x = 60° ]

Hence, the value of x is 60°.

Answer:

The correct answer is 39.5

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The volume of the triangular prism = base area x height

Since its base is a right triangle, then

From the figure leg1 = 6 ft and leg2 = 8 ft

Now multiply it by the height of the prism

Since its height = 12 ft, then

The answer is A

The option that is true based on the equation is that B. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

This is the degree of the hotness and the coldness that's in a body.

In this case, based on the information, the conversion of Celcius to Fahrenheit is simply by multiplying by 1.8.

Therefore, 1°C to F will be:.

= 1 × 1.8

= 1.8°F

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Answer:

-0.28571428571

Step-by-step explanation:

Answer:

-0.28571428571

Step-by-step explanation:

Answer:

Hypotenuse

Step-by-step explanation:

The longest side of a triangle is opposite the largest angle, which is the right angle in a right triangle.

Answer:

Hypotenuse.

Step-by-step explanation:

Discussion

A: says it is a right angle. It can't be the answer to the longest side.

B: Usually B and A might be the hypotenuse, but that is generally not the way they are displayed.

C: Neither B nor A can be chosen.

D: Answer:

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold.

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold. This is because there is only one raffle winner and it is impossible to predict which ticket will be picked.

It's also crucial to remember that his odds of winning are entirely independent of those of any other ticket holder; nobody else's ticket will affect the outcome of the raffle. As a result, Isaac has the same chance of winning as any other ticket holder. It's also vital to remember that regardless of how many tickets are sold, the likelihood of winning stays the same. Therefore, regardless of how many raffle tickets are sold, there is a 2.5% chance of winning.

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The value of the angle x in the triangle is; x = 70°

Looking at the given image, it is clear that both triangles are similar triangles. This is because we see that after the duplicate, 2 sides apiece are equal.

Thus, the third angle bordering the center of the triangle with one angle as 15° is;

y = 180 - (15 + 20)

Since sum of angles in a triangle equals 180 degrees.

y = 180 - 35

y = 145°

Similarly,

z = 180 - (20 + 15)

z = 180 - 35

z = 145°

Now, sum of angles at a point is 360 degrees. Thus;

x = 360 - (145 - 145)

x = 70°

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"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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Given:

The digit given is 1/2.

To find:

Check which expression has a value greater than 1/2.

Explanation:

To find which term is greater than 1/2, let's simplify each expression:

(A)

Which is less than 1/2.

(B)

Which is equal to 1/2.

(C)

Which is equal to 1/2.

(D)

Which is greater than 1/2.

Final answer:

Hence, the correct expression which has a value greater than 1/2 is:

the area of the triangle with vertices A(8, 5), B(7, 48, 4), and C(8, 9, 3) is √(3708).

To find the area of the triangle, we first need to determine the vectors AB and AC. The vector AB is obtained by subtracting the coordinates of point A from the coordinates of point B, and the vector AC is obtained by subtracting the coordinates of point A from the coordinates of point C.

Vector AB = (7-8, 48-5, 4-5) = (-1, 43, -1)

Vector AC = (8-8, 9-5, 3-5) = (0, 4, -2)

Next, we calculate the cross product of vectors AB and AC. The cross product is a vector perpendicular to both AB and AC and its magnitude represents the area of the parallelogram formed by these vectors.

Cross product AB x AC = (-1, 43, -1) x (0, 4, -2) = (86, -2, 4)

The magnitude of the cross product is given by the formula: magnitude = √(x^2 + y^2 + z^2). Therefore, the magnitude of AB x AC is:

magnitude = √(86^2 + (-2)^2 + 4^2) = √(7396 + 4 + 16) = √7416

Finally, the area of the triangle is half the magnitude of the cross product:

Area = 1/2 * √7416 = √(3708)

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The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

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Answer: x = - 12

8x + 45 = 10x + 69

⇔ 10x - 8x = 45 - 69

⇔ 2x = -24

⇔ x = -12

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

8x + 45 = 10x + 69

8x = 10x + 24

-2x = 24

x = -12

Answer:

(A)increasing

Step-by-step explanation:

Given the time and total distance ran by Myra in the table below.

\(\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|\)

We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.

Therefore Option A is the correct option.

Answer:

its a

Step-by-step explanation:

If a and b set, then the cardinality of the Cartesian product of the two sets, |a × b|, is equal to the product of the cardinalities of the individual sets, |a| and |b|.

So, if |a| = 10 and |b| = 5, then |a × b| = 10 × 5 = 50.

Therefore, the cardinality of the Cartesian product of the two sets is 50.

In mathematical notation, this can be written as:

|a × b| = |a| × |b|

|a × b| = 10 × 5

|a × b| = 50

So the answer is 50.

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