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3 years ago

I need help with this!! What is the answer???!

Mathematics

1 answer:

Natalija [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

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The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?

Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

$M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 = \frac{D_1 \ - \ 2}{2} \ \ ----(1)\\\\-7 = \frac{D_2 -10}{2} \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)$

Therefore, the coordinate of D = (-4, -4)

6 0

3 years ago

5. How long is the diagona of a 12 ft-by-16 ft rectangular garden?

kupik [55]

Answer:

The correct answer is option D, 20ft

Step-by-step explanation:

After drawing the picture below, you can just use pythagorean theorem to solve for the diagonal, or the hypotenuse in this case;

(Length)² + (Width)² = (Diagonal)²

(16)² + (12)² = (Diagonal)²

256 + 144 = (Diagonal)²

400 = (Diagonal)²

$\sqrt{400}$ = $\sqrt{Diagonal^{2} }$

<em>20 = Diagonal</em>

<em>Hope this helps!</em>

7 0

2 years ago

Read 2 more answers

This is my last ever question on brainly.com<br><br>please help

LUCKY_DIMON [66]

The distance between the means is equal to 8.
The mean absolute deviation (MAD) for class A is equal to 2.
The mean absolute deviation (MAD) for class B is equal to 2.
Distance between the means = four (4) times the MAD.
There is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.

<h3>What is a number line?</h3>

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

In Mathematics, a mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the distance between the means of both classes A and B is given by:

Distance = Mean of class A - Mean of class B

Distance = 12 - 4

Distance = 8.

The mean absolute deviation (MAD) for class A is given by:

MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]

MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]

MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]

MAD A = 1/9 × [18]

MAD A = 18/9

MAD A = 2.

Also, the mean absolute deviation (MAD) for class B is given by:

MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]

MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]

MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]

MAD B = 1/9 × [18]

MAD B = 18/9

MAD B = 2.

Therefore, distance between the means = four (4) times the MAD.

Distance = Means × MAD

8 = 4 × 2.

In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.

Read more on line plot here: brainly.com/question/8989301

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6 0

2 years ago

Safety regulations state that roller coasters cannot operate safely in high winds. Throughout the day, ride operators measure th

bija089 [108]

Answer:

Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

Step-by-step explanation:

We are given that the collected data is used to conduct a one-sample z -test of the null hypothesis that the mean wind speed is moderate against the alternative that the mean wind speed is too high.

If the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

So, Null Hypothesis, $H_0$ : The mean wind speed is moderate.

Alternate Hypothesis, $H_A$ : The mean wind speed is too high.

Also, it is provided that if the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

Now, Type I error states the Probability of rejecting null hypothesis given the fact that it was true or Probability of rejecting the true hypothesis.

So, in the given context, Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

On the other hand, Type II error states the Probability of accepting null hypothesis given the fact that it was false or Probability of accepting the false hypothesis.

So, in the given context, Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

4 0

3 years ago

Solve the given equation. Round to the nearest ten-thousandth. <br><br>PLEASE HELP ME

Helen [10]

Answer:

0.667

Step-by-step explanation:

3x = 2

3x/3 = 2/3

x = 2/3

0.66666666666666666666666666666666666666666666666.....

Answer: 0.667

8 0

2 years ago