If fencing costs $50 a foot how much do you save by only building a fence around rectangle ABEF

To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the g

koban [17]

Answer:

C. 3.5 mi

Step-by-step explanation:

Reference angle = angle of elevation

Angle of elevation = angle of depression = 6° (alternate angle theorem)

Hypotenuse = x

Opposite = 1905 ft

Apply trigonometric function SOH:

Sin 6° = Opp/Hyp

Sin 6° = 1905/x

x * Sin 6° = 1905

x = 1905/Sin 6°

x = 18,224.7 ft

Convert form feet to miles

1 mi = 5,280 ft

Therefore,

18,224.7 = 18,224.7/5,280

= 3.45164773 mi

≈ 3.5 mi (nearest mile)

6 0

2 years ago

Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term insid

Mumz [18]

Answer:

m = 9

It means that you are multiplying each of the values inside the parentheses by 2.

Step-by-step explanation:

2(m + 2) = 22

2m + 4 = 22

2m + 4 - 4 = 22 - 4

2m = 18 -Divide both sides by 2

m = 9

3 0

2 years ago

Read 2 more answers

Can someone do 4, 5, 7 and 8 im failing math and avoiding a whooping

Valentin [98]

The answer to five is 75

4 0

2 years ago

Kevin is making a picture frame. He has a piece of trim that is 4 feet long. How many 14-inch long piece can kevin cut from the

Alex777 [14]

First, convert 4 feet into inches - 48 inches. Then, divide 48 by 14 to get 3.43, so he can have 3 14-inch long pieces. To get the left over out of a foot, take 14 x 3 to get 42, then subtract 42 from your original 48 inches to get 6 inches left, which is half of a foot.

3 0

2 years ago

Read 2 more answers

An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it cl

valentina_108 [34]

Answer:

Step-by-step explanation:

An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below 20.

a) Let X represent the price of the option

$1000 20/100 = 0.2

$200 50/100 = 0.5

$0 30/100 = 0.3

b) Expected option price

$= \sum x.P(X=x)\\\\ = 1000 * 0.2 + 200 * 0.5 + 0 = \$ 300$

Therefore expected gain = $300 - $150 = $150

c) The trader should buy the stock. Since there is an positive expected gain($150) in trading that stock option.

7 0

3 years ago