find the measure of ONE interior angle of a regular polygon with the given number of sides.
A. 6
B. 10
C. 15

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the triangle ABC,

[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]

[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]

[tex]x=1925.6942[/tex]

[tex]x\approx 1926[/tex]

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

ON=5.099  

Hope it helps

The function rule is f(x) = x - 12 and the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

From the question, we have the following parameters that can be used in our computation:

Input(x) Output(y)

32 20

14 2

? −6

-2 -14

-10 ?

The slope is calculated as

m = (2 - 20)/(14 - 32)

m = 1

So, the equation is

y = mx + c

Using the points, we have

1(32) + c = 20

Evaluate

c = -12

So, we have

f(x) = x - 12

Using the above function, we have the following function values

f(-10) = -10 - 12 = -22

x - 12 = -6

x = 6

So, the complete table is

Input(x) Output(y)

32 20

14 2

6 −6

-2 -14

-10 -22

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Step-by-step explanation:

3a permieter

16+16+8+8+8+16+8 = 80

area = (16x16) +(8x8)= 256 +64 = 320

3b permieter: 10+ (2π3)/2 = 19.42

area1/2(6)(4) = 12

π (3)^2 = 28.26/2 + 12 = 26.13

I hope this helps you

8^2=4.(4+x)

64=4.(4+x)

16=4+x

x=12

Answer:

x²+2x+3

Step-by-step explanation:

We are to simplify the expression;

5x³+10x²+15x/5x

Factor out 5x from the numerator

= 5x(x²+2x+3)/5x

5x will cancel out both at the top and bottom to have;

x²+2x+3

Factorize

x²+2x+3

Hence the simplified form is x²+2x+3

Answer:

2³. 3². 5. 7

Step-by-step explanation:

Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.

Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Answer:

1st option is the correct answer

Answer:

3 feet

Step-by-step explanation:

3 feet is more because 35 inches = 2 feet and 11 inches.

Answer:

1995

Step-by-step explanation:

Percent of students that get more than 8 hours of sleep = 100 -43 = 57%

Number of students that get more than 8 hours of sleep = 57% x 3500

0.57 x 3500 = 1995 students

Answer:

x = 12

Step-by-step explanation:

(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees

14x + 12

180 - 12 = 168

14x = 168

/14  |   /14

x = 12

Top left angle: (8x - 1)

8*12 - 1

96 - 1

= 95

Sorry! gtg I hope this helps!

Answer:

less than -1

less than -1

greater than 1

greater than 1

Step-by-step explanation:

[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]

LESS THAN -1

________________________________

[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]

LESS THAN -1

________________________________

[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]

GREATER THAN 1

________________________________

[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]

LESS THAN -1

________________________________

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Answer

29/6  or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6   Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6

Answer:

x = 4

Step-by-step explanation:

since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.

1 × 6 = 6

30 - 6 = 24

then divide that by the number of sides (6)

24 ÷ 6 = 4

x = 4!

Answer: complaints of the wrongs done to the colonists.

Answer:

B. 25

Step-by-step explanation:

Answer: 56.85

Step-by-step explanation:

So, what you have to do is multiply 15 x 3.79=56.85.

Answer:

1 1/5 miles or 1/2 miles

Step-by-step explanation:

1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles

Answer:

Volume :-

= 1/3 × 3.14 × 9 × 4

= 37.68 m^3

l = √9 + 16

= √25

= 5 cm

Surface Area

= 3.14 × 3 × 5

= 47.1 cm^2

Hope this helps you

Please mark as brainiest

Answer:

33.49

Step-by-step explanation:

the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.