The wire is
form a complete circle. Calculate the
radius of this circle.
ABCD is a trapezium in which AB || DC,
|AB| = 6 cm, |DC| = 10 cm, AD= 5 cm
and ADC = 54.1°. Calculate the area of
ABCD.

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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Answer:

B

Step-by-step explanation:

EDGEN

Answer:

B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

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Answer: B the expected # of management workers donating to charity is 100

Step-by-step explanation:

50% = management so, .50(200)=100

The difference between a blue-collar worker and a white-collar worker is Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.​

Thus the correct option is D.

White collar employees refer to individuals who work as a salaried employees in a professional workspace. They work on the managerial profile or executive profiles also clerical positions. This type of worker has a particular office setting in which they perform their task.

here, we have,

Blue collar employees refer to an individual who does not work on salaries instead they receive daily wages on the basis of the number of hours they spent. These refer to laborers or workers who do not have any qualifications or skills to perform the task.

Therefore, option D is appropriate.

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complete question:

What is the difference between a blue-collar worker and a white-collar worker? O White-collar workers must wear a shirt and tie to work, but blue-collar workers can dress casually. thing O White-collar workers keep their clothes clean during the course of the workday, and blue-collar workers do not. O Blue-collar workers have defined work clothes or protective attire, while white-collar workers wear white shirts. O Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.​

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer:

1,232 ft/min (feet per minute)

Step-by-step explanation:

14 miles = 73,920 feet

1 hour = 60 minutes

73, 920 / 60 = 1,232 feet/minute

Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

Answer:

1/4 ft

Step-by-step explanation:

A = l x w

5/24 = 10/12 x w

Solve for w

5/24 divided by 10/12 = w

Take inverse of 10/12 and multiply

5/24 times 12/10

1/4

i)  Meera can invite a maximum of 6 guests.

ii) Each guest will get 7 mangoes.

iii) Each guest will get a total of 23 fruits.

(i) To find the maximum number of guests Meera can invite, we need to find the greatest common factor (GCF) of the three given numbers - 60, 42, and 36.

Prime factorizing the three numbers, we get:

60 = 2 x 2 x 3 x 5

42 = 2 x 3 x 7

36 = 2 x 2 x 3 x 3

To find the GCF, we take the product of all the common factors raised to their lowest exponent:

GCF = 2 x 3 = 6

Therefore, Meera can invite a maximum of 6 guests.

(ii) Meera has 42 mangoes to distribute among the guests. Since she has to distribute them equally, we divide 42 by the number of guests:

42 ÷ 6 = 7

Each guest will get 7 mangoes.

(iii) Meera has a total of 60 + 42 + 36 = 138 fruits to distribute among the guests. Dividing this by the number of guests:

138 ÷ 6 = 23

Each guest will get a total of 23 fruits.

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The equation is true based on the model is B) (-3) + 5 = 2.

If we consider the circles on the left as negative units and the circles on the right as positive units.

Then we can see that there are 5 positive units and 3 negative units, so the sum is

= 5 - 3

= 2.

Therefore, the correct equation is: B) (-3) + 5 = 2.

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Wouldnt that just be 75x2? bc if so then

The answer is:

75x2=150+ 850=1000

Answer:

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:  the answer is in the picture

have a nice one

Step-by-step explanation:

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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Answer:

\(14\text{ and }16\)

Step-by-step explanation:

Let the smaller number be \(x\). Since they are consecutive even numbers, the larger number can be represented by \(x+2\).

Therefore, we have the following equation:

\(8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}\)

Thus, the larger number is \(x+2=\boxed{16}\)

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

4a^2 x for a = − 2, x = −4

Step-by-step explanation:

4a^2 x for a = − 2, x = −4

B. box and whisker plot

A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value

The measure the given angle m∠G is 142°

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.

If angle A + angle B = 180, then angles A and B are said to be supplements to each other.

∠A and ∠B are complementary angles, which means

∠A + ∠B = 90°

substitute the values of A and B, we have

(9x - 2) + (5x + 8) = 90°

solving for x and collecting like terms, we have

14x +6 = 90

14x = 90 - 6

14x = 84

x = 84/14

x = 6

if ∠B = 5x + 8, and x = 6

∠B = 5(6) + 8

∠B = 30 + 8

∠B = 38°

∠B and ∠G are supplementary, which means,

∠B + ∠G = 180°

∠G = 180 - ∠B

But ∠B = 38°

∠G = 180 - 38

∠G = 142°

In conclusion, the value of ∠G is 142°

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Answer:

3.52

Step-by-step explanation:

do 4.40*.20. youll get .88, then subtract .88 from 4.40. pls give brainliest

The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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A) x-axis

Explanation

Step 1

a) get the coordinates of triangle ABC

a) dilated by a factor 1/2

A dilation with scale factor k centered at the origin will take each point (x,y) and transform it to

so

hence

Step 2

reflected across ?:

The rule for a reflection over the x -axis is (x,y)→(x,−y)

so

hence

so, the first answer is

A) x-axis

Step 3

finally, we see the graph was shifted to the rigth 3 units

to do, that, add 3 to each x-component, so

so, the translation is 3 units to the rigth

*it seems the correct answer for the translation is not in the answer, so

Green space : A) x-axis

Answer:

\(AC:CB = 3:2\)

Step-by-step explanation:

Given

The attached

Required

Find the ratio when partitioned by C

When BA is partitioned, the segments are: AC and CB

From the attachment:

\(AC = 3\)

\(CB = 2\)

So, the ratio is:

\(Ratio = AC : CB\)

\(AC:CB = 3:2\)

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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Answer:

Slope=-4/-3

Step-by-step explanation:

x1=7, x2=4, y1=5, y2=1

m=y2-y1/x2-x1

m=1-5/4-7

m=-4/-3