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hammer [34]
3 years ago
10

2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degr

ees. how far apart are they after 2.5 hours
Mathematics
1 answer:
Damm [24]3 years ago
5 0

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
Andrew [12]

Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

6 0
3 years ago
☡☡☡HEEEELLLPPPP☡☡☡<br>please i dont understand<br>No links​
jok3333 [9.3K]

Answer:

3.5 (thousand) boxes

Step-by-step explanation:

The line of best fit is the line that best fits the data / points. This line is already graphed for us, nice!

To find how much we should purchase if we only want to buy $5.05, we look to the y-axis (cost of each box of paper) and locate 5.05, in between the 5 and the 5.1. We look across to the x-axis (number of boxes) and see the answer is 3.5.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
3 years ago
56 is 10 more than what?
olga2289 [7]
That's not true. 56 is 10 more than 46. 46 +10 is 56.
3 0
3 years ago
Plz help me on question 1 and show your work plz
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Volume = length x width x height

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7 0
4 years ago
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1+ 3z= 40 what’s the answer to this problem I’m confused???
stepan [7]

Answer:

13

Step-by-step explanation:

subtract 1 on both sides

then divide by 3

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8 0
3 years ago
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