similar right triangles

Answer:

Pentagon = 72°

Octagon = 45°

Step-by-step explanation:

To solve for the measure of one exterior angle in a regular pentagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 5-2/5)

180 - (180 x 3/5)

180 - (540/5)

180 - 108

Exterior angle = 72°

To solve for the measure of one exterior angle in a regular octagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 8-2/8)

180 - (180 x 6/8)

180 - (1080/8)

180 - 135

Exterior angle = 45°

Answer:

hello,

Step-by-step explanation:

[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]

Answer:

[tex]1.1*10^{-11}[/tex]

I used a calculator.

Answer:

[tex]1.1*10^{-11}[/tex]

Step-by-step explanation:

0.000010*0.00055*0.002= 1.1*10^-11 or basically 0.

Answer:

1 1/6

Step-by-step explanation:

1/3 - (-5/6)

Subtracting a negative is like adding

1/3 + 5/6

Get a common denominator of 6

1/3 *2/2 + 5/6

2/6 + 5/6

7/6

6/6 + 1/6

1 1/6

Answer: -1 1/6

Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6

Answer:

180 degrees

Step-by-step explanation:

ABCD is now opposite where it started, so it was rotated 180 degrees

I hope this helps!

Answer:

180 degrees

Step-by-step explanation:

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

Explanation:

At the 60 day mark, the following number of widgets are produced

The fourth plant makes 150 widgets, which is between B and C

We see that the fourth plant does not make more than Plant A, so we can rule out choice A.

The fourth plant does not make less than Plant B, which allows us to rule out choice B.

The only thing left is choice C. Sure enough, this statement is true since 150 widgets made at the fourth plant is less than 300 made in Plant A. This is why choice C is the answer.

Answer:

8.555.... is a irrationtional number .

Answer:

<A = 51

Step-by-step explanation:

Since AB = AC  ( shown by the lines on the sides) we know that this is an isosceles triangle

Since the sides are the same, the base angles are the same

<A = <C

<C = 51 so <A = 51

Answer:

a)

i) Interquartile range is   2.4  

ii) Upper boundary is 10.8  

The Lower boundary is 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1

b) The modified boxplot with one outlier is given in the diagram.                                                          

c) The 80th percentile is    

The minimum rating the hotel can get is 7.3

Step-by-step explanation:

a)

i) Interquartile range is  

IQR = Q3-Q1 = 7.2-4.8 = 2.4  

ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8  

Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1  

c) The 80th percentile is given by  

n= 12  

k = 0.80  

Index is given by k*n =0.80*12 = 9.6  

Round to nearest whole number, that is 10th  

80th percentile is the 10th number (arranged in ascending order)  

80th percentile = 7.3  

The minimum rating the hotel can get is 7.3.

b) The modified boxplot with one outlier is given as follows,  

Answer:

The answer is 119

Step-by-step explanation:

Just count, but I did it a different way but multiplying then subtracting.

9514 1404 393

Answer:

  640 marks

Step-by-step explanation:

80% of 800 is ...

  0.80 × 800 = 640

He got 640 marks.

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

Answer:

Sequences 1,2, and 4 are arithmetic.

Step-by-step explanation:

Each term in sequence 1 gets added by 8.

Each term in sequence 2 gets added by 5.

Each term in sequence 4 gets added by 6.

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

Answer:

65 degrees because tangent chord angles are half the size of the arc

Answer:

6

Step-by-step explanation:

To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.

f(b) - f(a) / b - a

f(0) - f(-3/2) / 0 - -3/2

1 - -8 / 3/2

9 / 3/2

18/3

6

Brainliest, please!

Answer:

Tina's age = 2 years

Step-by-step explanation:

Tina's age = x

Michelle's age = 3 * x = 3x

Tina is 4 years younger than Michelle.

x = 3x - 4

Add 4 to both side

x +4 = 3x

Subtract x from both sides

4 = 3x - x

4 = 2x

Divide both sides by 2

4/2 = x

2 = x

Tina's age = 2 years

Answer:

C ) 4 x + 8

Step-by-step explanation:

( 24 x + 48 ) / 6

4 x + 48

The length of a regular hexagon is:

4x ₊ 8

How many sides do a hexagon have? How do we calculate the length and parameter of it?

A regular hexagon have six sides.

The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.

Solution:

Given,

parameter of a hexagon = 24x ₊ 48

length of one side of a hexagon s = p ÷ 6

                                                  s = 24x ₊ 48 ÷6

                                                  s = 4x ₊ 8

Hence we get the length of one side as 4x ₊ 8

Learn more about "shapes" here-

brainly.com/question/25965491

#SPJ2

Answer:

1st option

Step-by-step explanation:

at the 3rd hour, the money was $100

At 7th hour, the money increased to $160

Now, the rate is,

(160-100)/(7-3)

= 60/4

= 15

so, $15 per hour

1. the question is asking you to multiply the two function expressions together

2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4

Answer:

[tex]7\frac{5}{9}[/tex]

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

[tex]\frac{34}{9}[/tex]×2

Now multiply [tex]\frac{34}{9}[/tex] by 2

[tex]\frac{68}{9}[/tex]

(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])

Hope this helps!

Answer:

Baba

Step-by-step explanation:

Booey

Answer:

A)

Step-by-step explanation:

The inter quartile range is determined by the formula Third quartile -  first quartile.

In a set, an inter quartile range is a measure of where the bulk of the data's lie

Answer:

A positive number.

Any negative subtracted from a positive will always be positive.

Answer:

a-b will be and will always be a POSITIVE number.

This is because a is positive, and b is negative.

However, when you subtract a negative number, you are actually just adding it.

So, a - (-b) = a+b.

This is why, it will always be positive.

Let me know if this helps!

9514 1404 393

Answer:

  0.99779328

Step-by-step explanation:

The exact conversion factor is ...

  1 mi = 1.609344

Then 62 miles is 62×1.609344 km = 99.779328 km.

The ratio of this to 100 km is ...

  99.779328/100 = 0.99779328 . . . . ratio of 62 miles to 100 km

Answer:

Below

Step-by-step explanation:

To find the volume of a rectangular prism find the area of a face and multiply it by the height

V = lwh

  = (12)(5)(12)

  = 720 km^3

Hope this helps!