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3 years ago

For any circle, is exactly equal to: 3.14

1 answer:

3 0

The circumference of a circle divided by its diameter always may be written as pi:

$\frac{c}{d}= \pi$

Pi itself is close to 3.14; keep in mind pi is an irrational number, so it may never be equal to a number written in decimal form.

Also, pi is equal to c/d, but that doesn't mean that's the way pi is defined.

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A plane at an altitude of 7000 feet is flying in the direction of an island. If the angle of elevation is 21 degrees from the pl

sleet_krkn [62]

Answer:

6,535.06 feet

Step-by-step explanation:

The set up is right angles

hypotenuse = 7000feet

angle of elevation = 21 degrees

Required

horizontal distance (adjacent)

Using SOH, CAH TOA trig identity

cos theta = adj/hyp

cos 21 = adj/7000

adj = 7000 cos 21

adj = 7000(0.9336)

adj = 6,535.06

Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet

5 0

2 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

<em>For finding when they will meet, we will need relative speed: </em>

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

6 0

3 years ago

Shandra's parents put $1,500 in her bank account for college tuition. Given an interest

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the answer to 3.4m+2.4m

polet [3.4K]

Answer:

5.8m

Step-by-step explanation:

8 0

3 years ago

The value of a car depreciates by 40% each year. At the end of 2007 the value of the car was £3600 Work out the value of the car

natima [27]

Answer: $6,000

Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.

The equation should look like this:

(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)

Then you substitute: (value at the end of 2006) x 0.6 = 3600

Then divide: (value at the end of 2006) = 0.6 ÷ 3600

Then substitute again: (value at the end of 2006) = 6,000

Hope this helped you! Feel free to ask me any questions!

3 0

3 years ago