after 1 second, the rock is 243 feet in the air; after 2 seconds, it is 452 feet inthe air. find the height, in feet, of the rock after 5 seconds in the air?

Answers

Answer 1

Answer: 1 second is 243
2 second is 452
3 second is 661
4 second is 870
5 second is 1,079
It goes up 209 feet per second
5 Second is 1,079 ft in the air.

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The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

Answers

I did another one just like this about an hour ago. I did it the elegant, tedious way,
and it took about 2 feet of screen. Then I realized there was a totally bourgeois but
easy way to do it. For 5 points, I'll give you the method for the masses:

List all the possible pairs of digits that add up to 9, along with their flips:

18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54

Do you see any pair that are different by 27 ?
How about 36 and 63 ?

So the original number is 63, and when you flip it, it becomes 36, which is 27 less.

WHICH EXPRESSION IS EQUIVALENT TO (3X5+8X3)-(7X2-6X3)

Answers

$(3*5+8*3)-(7*2-6*3) \n =(15+24)-(14-18) \n =39-(-4) \n =39+4 \n =43 \n \n ANSWER = 43$

If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer: m∡7 = 57° .
_________________________________

Explanation:
____________________
m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
m∡7 = 57° .
_________________________________________

Compute the permutations and combinations.From a committee consisting of 5 men and 6 women, a sub-committee is formed consisting of 4 men and 3 women. How many different subcommittees are possible?

100
360
600

Answers

100

From 5 men you can form 5x4x3x2 /(4!) different committes of 4 men = 5 different committes.

From 6 women, you can form 6x5x4 / (3!) different committes of 3 women = 20 different committes.

Total combinations: 5 x 20 = 100.

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's area?

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

Width = W
Length = 3W

Area = Length * Breadth

= 3W * W

= 3W²

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

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