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enyata [817]
3 years ago
13

The perimeter of a regular hexagon depends on the length of its side. Write the formula that describes this perimeter as the fun

ction of side’s length.

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

Step-by-step explanation:

A. Write an equation to represent this direct variation. Make sure to define your variables.

 We define the variables:

 P = perimeter

 L = sides of the square

 The equation that represents this proportional variation is:

 P = 4L

 B. In complete sentences, use a specific example to justify your equation from part A. Include a drawing in your answer.

 Example: consider a square of sides 4 units. Find the perimeter.

The perimeter of the square can be found in two ways:

 Way 1:

 P = 4 + 4 + 4 + 4 = 16

 Way 2: 

 Using equation of part A:

 P = 4L

 P = 4 * (4)

 P = 16

 Note: see attached image.

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Urgent!! Will mark brainliest!!
anastassius [24]

Answer:

1) tanФ = 0.8392 ⇒ 2nd answer

2) cosФ = 20/29 ⇒ 3rd answer

3) cosФ = -√2/2 , cotФ = -1 ⇒ first answer

Step-by-step explanation:

* At first check the quadrant of the angle

∵ 180° < Ф < 270°

∴ Ф lies on the third quadrant

* Remember in the 3rd quadrant tanФ and cotФ only positive

∵ sinФ ≅ -0.7660

∵ tan²Ф = sec²Ф - 1

∵ secФ = 1/sinФ

∵ secФ = 1/-0.7660

∴ sec²Ф = (1/-0.7660)²

* Substitute this value in the equation

∴ tan²Ф = (1/-0.7660)² - 1 = 0.70428594 ⇒ take √ for both sides

∴ tanФ ≅ ± 0.8392

∵ Ф lies on the 3rd quadrant

∴ tanФ = 0.8392

* At first check the quadrant of the angle

∵ 0° < Ф < 90°

∴ Ф lies on the first quadrant

* Remember in the 1st quadrant all are positive

∵ sinФ = 21/29

∵ sin²Ф + cos²Ф = 1

∴ (21/29)² + cos²Ф = 1 ⇒ subtract (21/29)² from both sides

∴ cos²Ф = 1 - (21/29)² = 400/841 ⇒ take √ in both sides

∴ cosФ = ± 20/29

* Because Ф lies in the 1st quadrant

∴ cosФ = 20/29

* Remember that when the point is at the terminal side of angle Ф

∴ Its x-coordinate is cosФ

∴ Its y-coordinate is sinФ

* The point is (-√2/2 , √2/2)

∵ x-coordinate is negative ad y-coordinate is positive

∴ the point is on the 2nd quadrant

∴ 90° < Ф < 180°

∴ The values of sinФ and cscФ only positive

* From previous we know that:

∴ cosФ = -√2/2

∴ sinФ = √2/2

∵ cotФ = cosФ/sinФ

∴ cotФ = -√2/2 ÷ √2/2 = -√2/2 × 2/√2 = -√2/√2 = -1

* cosФ = -√2/2 , cotФ = -1

3 0
3 years ago
Find the exact value by using a half-angle identity. (6 points)
Elenna [48]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Question set 2: Many species of terrestrial tree frogs that hibernate at or near the ground surface can survive prolonged exposu
joja [24]

Answer:

0.86

Step-by-step explanation:

The z-score we need to make the comparison is given by

\bf z=\frac{-2.05-(-2)}{\sigma/\sqrt{n}}

where

\bf \sigma= the standard deviation established in the study

n = the sample size

\bf z=\frac{-2.05-(-2)}{0.3/\sqrt{42}}=-1.0801

and for the Normal distribution N(0,1) we want to find  

<em>P(X > -1.0801) </em>

By using a spreadsheet or the table attached, we find that

P(X > -1.0801) = 0.86

(See picture attached)

7 0
3 years ago
What's 9+10?<br><br><br>(this sentence is here so I can ask this question)
kow [346]

Answer:

9 + 10 = 19

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
enot [183]
From the information given you have:

1) Smaller diagonal of the kite: 16 inches


2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)


3) Calculation of the height of the smaller triangle, h1:


10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6


4) Calculation of the height of the larger triangle, h2


17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2  - 8^2] = 15


5) Larger diagonal = h1 + h2 = 6 + 15 = 21


Answer: 21 inches
7 0
3 years ago
Read 2 more answers
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