The measure of an exterior angle of a regular polygon is 45º. How many sides does the polygon have?

By solving a quadratic equation, we will see that the length is 10m and the width is 6.5m

For a rectangle of width W and length L, the area is:

A = W*L

In this case, we know that the area is 65m² and that the length is 3 meters less than 2 times the width, so:

L = 2*W - 3m

Then we can write:

65m² = (2*W - 3m)*W = 2*W² - 3m*W

This is a quadratic equation:

2*W² - 3m*W - 65m² = 0.

The solutions are given by the Bhaskara's formula:

[tex]W = \frac{3 \pm \sqrt{(-3)^2 - 4*2*(-65)} }{2*2} \\\\W = \frac{3 \pm 23 }{4}[/tex]

We only care for the positive solution, which is:

W = (3m + 23m)/4 = 26m/4 = 6.5m

Then the length is:

L = 2*6.5m - 3m = 10m

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Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]

Answer:

the sample proportion is 26:50then if it simplyfy answer is13:25

Answer:

29

the triangle on the right has 2 sides the same so the lower two corners have the same angle which would be (180-64)/2 = 58 degrees

the lower right angle of the triangle on the left Sadie would be 180-58 = 122.

Since 2 sides of the triangle on the left are the same the other two angles would be equal to each other.

x = (180-122)/2 = 29 degrees

Answer:

x = 29°

Explanation:

The triangle on right side is an isosceles triangle with two similar angles.

Let that angle be z:

⇒ z + z + 64° = 180°

⇒ 2z = 180° - 64°

⇒ 2z = 116°

⇒ z = 58°

After finding z, find the opposite angle:

⇒ 180° - 58° = 122°

Find the value of x:

⇒ x + x + 122° = 180°

⇒ 2x = 180° - 122°

⇒ 2x = 58°

⇒ x = 29°

Answer:

1

Step-by-step explanation:

48 / 48 = 1

Answer:

42

Step-by-step explanation:

We need to find the Least Common Multiple (that isn't 0) between 6 and 7. To do this, list each number's multiples.

Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48, 54

Multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63

Their LCM is 42. Now, we multiply the fractions so the denominators are both 42. !You have to multiply both the numerator and denominator by the same number! For 6, 6*7 is 42, so you multiply both 6 and 5 by 7. When you do this, you get 35/42. For 7, 7*6 is 42, so you have to multiply both 7 and 2 by 6. When you do this, you get 12/42. The new problem is 35/42-12/42.

Hope this helps!

Answer:

1/2 x 8 x 6
answer: 24

Step-by-step explanation:

formula of area of triangle= 1/2 x base x height

Answer:

Step-by-step explanation:

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Answer:

60 dkm = 6km

Step-by-step explanation:

10 dkm = 1 km

60 dkm = 60/10 km = 6 km

Answer:

Which class is this

I can't believe the question

Answer:

[tex]\frac{2^{20} }{3^{8} }[/tex]

Step-by-step explanation:

Exponent Multiplication Rule :

[tex](\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }[/tex]

=============================================================

Solving :

⇒ [tex](\frac{2^{5} }{3^{2} } )^{4}[/tex]

⇒ [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

⇒ [tex]\frac{2^{20} }{3^{8} }[/tex]

Answer:

No Hablo Espaniol

Step-by-step explanation:

Answer: [tex]17 \div 2[/tex]

Step-by-step explanation:

[tex]a/b[/tex] is the same thing as [tex]a \div b[/tex]

Answer:

A

Step-by-step explanation:

To find the transformation, we need to take a point and the point to which it has been translated.

Let's take A and A'.

⇒ A = (2, -2)

⇒ A' = (-2, 1)

Change in x : -4 (shifted 4 units left)

Change in y : 3 (shifted 3 units up)

This means to obtain A'B'C'D' from ABCD, the graph has to be :

shifted 4 units left and 3 units up

Answer:

no solution

Step-by-step explanation:

Given :

-3(4n+1) < -6(2n-6)

Divide by -3 on each side (and remember to change the sign) :

-1/3 x -3(4n+1) < -1/3 x -6(2n-6)

4n + 1 > 2(2n - 6)

Expand the RHS :

4n + 1 > 2(2n) - 2(6)

4n + 1 > 4n - 12

Solution :

As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution

Answer:

Given inequality:

-3(4n + 1) < -6(2n - 6)

Expand the brackets:

⇒ -12n - 3 < -12n + 36

Add 12n to both sides:

⇒ -12n - 3 + 12n < -12n + 36 + 12n

⇒ -3 < 36

Solution:  True for all n

Interval Notation: (-∞, ∞)

Answer:C Or 210 Sc

Step-by-step explanation:

Answer:

there is no line

Answer:

  D)  10 units

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.

__

The relation between opposite sides tells you ...

  BC = AD

  2x = x +5

  x = 5 . . . . . . . subtract x from both sides of the equation

We want the length of AD, which is ...

  AD = x +5 = 5 +5

  AD = 10

_____

Additional comment

Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.

Answer:

10

Step-by-step explanation:

→ Equate both sides of the parallelogram as they are equal

2x = x + 5

→ Solve

x = 5

→ Resubstitute for the length AD

5 + 5 = 10

Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

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The total sales of the year after is Rs. 1857143

He gets 1.5% commission on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000.

Therefore, since he received a bonus, the sale is over Rs. 20,000.

Hence,

let

x = total sales

Therefore,

1.5% of x + 2% of x   = 65000

1.5 / 100 × x + 2 / 100 × x = 65000

0.015x +0.02x = 65000

0.035x = 65000

x = 65000 / 0.035

x = 1857142.85714

Therefore,

total sales = Rs. 1857143

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Answer:

[tex]7 \times 6 = 42[/tex]

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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Answer:

c

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

40 % of 60 = 24

60-24=36

Answer:

The angle of the figure is 90°

Answer:

[tex]13 \times 1 \div 67 [/tex]

Answer:

Knowledge > Probability

Step-by-step explanation:

In the moment knowledge would be useful because you are thinking about the decision you are making but after days, months or years probability would be in your mind. Also probability is just another word for chance so there would be no confirmation of said thing happening but when you have knowledge your brain knows that said thing is 100% going to happen, so for me personally knowledge is more useful than probability