(3x^2 + 2x -2) + ( -2x^2 + 5x+5)<br> My answer<br> 5x^2 + 7× +7<br> Am i right

A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a standard stop sign is ___________

juin [17]

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

Step-by-step explanation:

The given is,

Radius of standard stop sign is 16.2 inch radius

Step:1

The regular octagon is equal to the 16 right angled triangle,

Angle of right angle triangle = $\frac{360}{16}$ = 22.5°

Ref attachment,

From the OAB right angle triangle,

Trigonometric ratio,

sin ∅ = $\frac{Opp}{Hyp}$

Where, ∅ = 22.5°

Hyp = Radius = 16.2 inches

Ratio becomes,

sin 22.5°= $\frac{b}{16.2}$

b = (0.374607)(16.2)

b = 6.19947 inches

Trigonometric ratio,

cos ∅ = $\frac{Adj}{Hyp}$

Where, ∅ = 22.5°

Hyp = Radius = 16.2 inches

Adj = h

Ratio becomes,

cos 22.5°= $\frac{h}{16.2}$

h = (0.9238795)(16.2)

h = 14.967 inches

Step:2

From the triangle OAC,

Area, $A = \frac{1}{2} (Height )( Base)$

Where, Height = 14.967 inches

Base = b + x = 6.19947 + 6.19947

= 12.3989 inches

From the values equation becomes,

A = $\frac{1}{2} (14.967)(12.39894)$

A = 92.7875 Squared inches

Step:3

The octagon is equal to sum of 8 triangles

Area of octagon = 8 × Area of triangle

= 8 × 92.7875

= 742.3 squared inches

Result:

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

7 0

4 years ago

Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket.

Deffense [45]

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

5 0

3 years ago

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

Kisachek [45]

Question

<em>Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda. Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation and solve the equation. Hint: 0.6x represents the number of liters of grape juice in the punch. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)</em>

Answer:

<h2>Step-By-Step-Explenation </h2>

5l = Total litres.

0.4l = 0.4 represents % of lemon-lime soda in litres.

0.6l = 0.6 represents % of grape juice in litres.

For grape juice, make L(1) = 0 and find for L(2), you will get 3L

For lemon-lime soda, make L(2) = 0 and find for L(1), you will get 2L

3L + 2L = 5L.

60% + 40% = 100%

I think this is right but i really tried.!

Hope this helps!

7 0

3 years ago

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I need help solving it

Tom [10]

The number of cubes is 27
the volume is 36 centimeters cubed

4 0

3 years ago

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How to solve question 10?

madam [21]

The linear function is y = .25x + 1

8 0

3 years ago

(3x^2 + 2x -2) + ( -2x^2 + 5x+5) My answer 5x^2 + 7× +7 Am i right