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3 years ago

Objects in free fall are constantly picking up speed as they fall back to Earth (prior to reaching terminal velocity).

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Objects in free fall are constantly pick up speed at thay fall back to earth

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Decide which story can be represented by the system of equations below.

MatroZZZ [7]

Answer:

Step-by-step explanation:

am i dum or is this super confusing

4 0

3 years ago

Read 2 more answers

Please help ASAP thank you!!!!

mart [117]

Answer:

41. f⁻¹(x) = -9x + 4

43. m⁻¹(x) = ∛(x-2)/4

Step-by-step explanation:

41. y = (4-x)/9

swap x and y: x = (4-y)/9

solve y: 9x = 4-y

y = -9x + 4

45. y = 4x³+2

x = 4y³+2

4y³ = x-2

y³ = (x-2)/4

y = ∛(x-2)/4

Let you do 42 and 46 by yourself

5 0

4 years ago

Which of the following expressions simplifies to a negative number? Select all that apply.

Contact [7]

Answer:

(-1)(-1)(-1)

(-1)(-1)(-1)(-1)(-1)

These, since they are all negatives and there are an odd number of terms.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I honestly don't even know where to start //// on his last 4 tests , Danilo scored 55% 78% 84% and 93%. What score should he get

skelet666 [1.2K]

Answer:

The answer to your question is He must get 80%

Step-by-step explanation:

Data

Scores 55%, 78%, 84%, 93% and X

Average 80%

Process

1.- Write a equation to solve this problem

- There are five scores

Score 1 = S1 = 55

Score 2 = S2 = 78

Score 3 = S3 = 84

Score 4 = S4 = 93

Score 5 = S5 = X

Equation

Average = (S1 + S2 + S3 + S4 + S5) / 5

- Solve for S5

5 Average = S1 + S2 + S3 + S4 + S5

S5 = 5 Average - S1 - S2 - S3 - S4

- Substitution

S5 = 5(80) - 55 - 78 - 84 - 93

- Simplification

S5 = 400 - 310

- Result

S5 = 90

5 0

4 years ago