What is the area, in square centimeters, of the parallelogram?


(20 points)​

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Step-by-step explanation:

Answer:

Here's your solution mate..

Circumference is diameter x pi so the diameter of the circle is 11.

Radius is half the diameter so the radius is 11/2 = 5.5

area of a circle is r^2 x pi

Area = 5.5^2 x pi

5.5^2 = 30.25

Area = 30.25pi

Answer:1.1.this relation is function because domains are not repeated

Step-by-step explanation:

Answer:

A. x = 11

B. x = 3/4 (or 0.75)

C. any value

D. x = 0

Step-by-step explanation:

hope this helps:)

Answer:

3

Step-by-step explanation:

[tex]\sqrt[3]{27} =\sqrt[3]{(3)(3)(3)} =\sqrt[3]{(3)^3}= 3[/tex]

Answer:     3.............

Step-by-step explanation:

Answer: 9.

Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:

1. Find the mean.

2. Subtract the mean from the numbers of the data.

3. Add the results and divide to find the MAD.

The steps are done below:

1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set.  In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.

2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data.  The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive.  If you ever run into a situation like that, you simply just make it positive).

3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD.  Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.

Therefore, 9 is the MAD.

Let me know if this is right! :)

Its 62%

I took the test

Answer:

she worked 12 hours as a carpenter and 18 hours as a blacksmith

Step-by-step explanation:

Let x = the number of hours for which she worked as a carpenter

Let y = be the number of hours for which she worked as a blacksmith

Total numbers of hours she worked = 30

x + y = 30 (1)

she earned a total $690. She earned $20 dollar per hour as a carpenter and $25 per hour as a blacksmith.

20 x + 25 y = 690 (2)

Equation (2) - 20 × Equation (1),

We get,

5 y = 90 ⇒ y = 18

After substituting this value in equation (1),

We get, x = 12,

Hence, She worked as a carpenter = x hours = 12 hours

And, as a blacksmith = y hours = 18 hours

Answer:

x is 54˚

Step-by-step explanation:

Answer:

x = 54°

Step-by-step explanation:

Forming the equation,

→ (2x + 2)° = (3x - 52)°

Now the value of x will be,

→ (2x + 2)° = (3x - 52)°

→ 2x - 3x = -52° - 2°

→ -x = -54°

→ [ x = 54° ]

Hence, the value of x is 54°.

Answer:

$805.0432

Step-by-step explanation:

118% was paid, so the original would be 82% of 981.76 (100-18), which is $805.0432 (rounds to $805.04)

Answer:

2x+4

Step-by-step explanation:

factor 4x²-16

=(2x+4)(2x-4)

=(2x+4)(2x-4)/ 2x-4

cancel out the common factors of 2x-4

Answer= 2x+4

[tex](256)^{\tfrac 14}\\\\=(4^4)^{\tfrac 14}\\\\=4^{\tfrac 44}\\\\=4^1 \\\\= 4\\\\\\27^{\tfrac 13}\\\\=(3^3)^{\tfrac 13}\\\\=3^{\tfrac 33} \\\\=3^1\\\\=3[/tex]

Answer:   A≈1015.4

Step-by-step explanation:

A=2πrh+2πr2=2·π·8·12.2+2·π·82≈1015.36275

Answer:

407 mm²

Step-by-step explanation:

The formula for the surface area of a clyinder is: A = 2[tex]\pi[/tex]r · (r + h)

Plugging in the given values, we have: A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · 16.2

A = 2(3.14)4 · 16.2

A = 406.944

A = 407 (rounded)

hope this helps!

[tex]z_1 - z_2 \\\\=(5-2i) -(3+2i)\\\\=5-2i-3-2i\\\\=2-4i[/tex]

Answer:

z1 - 2z = 2

Step-by-step explanation:

make 2i stand alone in both equations

therefore, in equation one, we have;

z1-5=-2i

5-z1=2i

we do same in equation 2

z2-3=2i

therefore, comparing the two equations, we can equate them!

2z-3=z1-5

-3+5=z1-2z

2 = z1 - 2z

therefore, z1 - 2z = 2

Answer:

12

Step-by-step explanation:

Volume of a sphere = 4/3 pi r^3      r = 3 for this one

volume = 4/3 pi (3^2) =  36/3 pi =  12 pi   units^3

Answer:

(7, 32), In this situation you could put any ordered pair but it just has to be different than the x variables shown. The y values can be the same, only the x values really count ‍♀️

Answer:

29/400

Step-by-step explanation:

Converting 0.0725 to a fraction

The simplified fraction form of 0.0725 is 29/400.

A fraction is used to indicate a piece of something larger. It depicts the whole's equal pieces. The numerator and denominator are the two elements of a fraction.

The given value is 0.0725.

Multiply numerator and denominator by 10000

then 0.0725 = 725/10000

To simplify divide numerator and denominator by 25

then 725/10000 =29/400

Hence the simplify fraction form is 29/400.

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a-1. The manager's return in the month, based on the performance table information, is 1.38%.

a-2.  The manager's underperformance is 0.51% (1.89 - 1.38).

A manager's underperformance occurs when the manager delivers results below expectation.

For instance, the weighted benchmark return was expected to be 1.89%, but the manager achieved an actual weighted return of 1.38%.

                     (1) Actual    (2) Actual   (3) Benchmark   (4) Index

                         Return        Weight           Weight     Return

Equity                  2.2%         0.4                  0.5                 2.7% (S&P 500)

Bonds                  1.1             0.2                  0.2                  1.5 (Barclays Aggregate Bond index)

Cash                    0.7          0.4                   0.3                  0.8

                     (1) Actual    (2) Actual   Weighted

                         Return     Weight       Returns

Equity                  2.2%         0.4            0.88%

Bonds                  1.1             0.2            0.22

Cash                    0.7          0.4              0.28

Weighted Returns =                             1.38%

                      Benchmark   (4) Index                   Weighted

                            Weight        Return                   Benchmark

Equity                  0.5                 2.7% (S&P 500)    1.35% (0.5 x 2.7)

Bonds                  0.2                  1.5 (Barclays       0.30 (0.2 x 1.5)

Aggregate Bond index)

Cash                    0.3                  0.8                      0.24 (0.3 x 0.8)

Weighted Benchmark Return =                            1.89%

Thus, there was a comparative underperformance of 0.51%.

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Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr[tex]r^{2}[/tex]

A = π(5)²

A = π(25)

A = 25π

The square root of 576 is the inverse of the mathematical operation of squaring the number 24. The square root of a number implies a number whose product with itself gives the initial number. Now we will calculate the square root of 576 using various methods and a few interesting facts and problems too.

The square root of 576 can be written as √576 and (576)1/2

The square of 576 will be a number(a) such that a × a = 576

And 24 × 24 = 576 also -24 × -24 = 576

Therefore, +24 and -24 are the square root of 576

The square root of 576 are +24 and -24.

Both numbers are integers and we know that all integers are rational numbers.

Hence, the square root of 576 is a rational number.

to get the equation of any straight line, we simply need two points off of it, so hmm let's use the two points you see in the picture below from the provided table.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{5+1}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=2x-2\implies y=2x-3[/tex]

[tex]\displaystyle \int^0_{-2} (x^2 +x )~dx\\\\\\=\displaystyle \int^0_{-2} x^2~ dx +\displaystyle \int^0_{-2}x ~ dx\\\\\\=\dfrac 13 \left[x^3 \right]^{0}_{-2}+ \dfrac 12 \left[ x^2\right]^{0}_{-2}\\\\\\=\dfrac 13 (0+8) + \dfrac 12 (0-4)\\ \\\\=\dfrac 83 - \dfrac 42\\\\\\=\dfrac 83 - 2\\\\\\=\dfrac 23[/tex]

Answer:

7.5

Step-by-step explanation:

how i figured it is 18-3 is 15

2*7 is 14 so in turn 7.5 *2 is 15 so

z=7.5

This can be represented in the form of an equation as: 2(x + 3) = 18.So, the correct Answer is A. 2(x+3)=18.

The correct translation of the given sentence is:" twice the sum of a number and three is eighteen".

The equation "2(x + 3) = 18" correctly represents the statement "twice the sum of a number and three is eighteen."

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Answer:

28.57

Explanation:

35 is the total amount of students.

25 is the amount of women in the class, we can assume the rest are men.

35 Total students - 25 women = 10 men

10 men, 35 Total students

(10/35) × 100 = 28.57%