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2 years ago

Cosx=4/5 what is sin2x cos2x and tan2x

Mathematics

1 answer:

earnstyle [38]2 years ago

4 0

Answer:

-24/5

Step-by-step explanation:

The solution to the problem is as follows:

cscx < 0 means 1/sinx < 0, or sinx < 0.

sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established

sinx is negative.

sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25

cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5

tan2x = sin2x / cos2x = -24/5

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Three boxes are stacked one on top of the other. One box is 6 feet 5 inches tall, one is 4 feet 6 inches tall, and one is 5 feet

3241004551 [841]

Start with adding the feet: 6+4+5=15

then add the inches: 5+6+7=18

18 inches= 1 foot and 6 inches

So its 16 feet and 6 inches

8 0

2 years ago

Kari plans to attend a 2-year community college. She will receive $4,500 in scholarships and grants each year, and she will earn

Feliz [49]

Answer:

Step-by-step explanation:

4 year Public University

Tuition and fees $ 8500

Room and board $ 6700

Books and supplies $1250

misc expenses $ 700

Total for 1 year

8500+6700+1250+700

= $ 17150

Total for 4 years 4* 17150 = $68600

4 year Private University

Tuition and fees $ 25100

Room and board $ 8000

Books and supplies $ 1300

misc expenses $ 750

Total for 1 year

25100+8000+1300+750

= $ 35150

Total for 4 years 4* 35150 = $ 140600

2 Year Community College

Tuition and fees $ 4400

Room and board $ 5000

Books and supplies $ 1100

misc expenses $ 800

Total for 1 year

4400+5000+1100+800

= $ 11300

Total for 2 years 2* 11300 = $ 22600

now given

kari will get $4500 in scholarships and grants yearly and $1500 yearly through work study program

so in total kari will get in financial aid = $6000 yearly

so in 2 years she will get total = 2*6000 = $12000 financial aid

kari's estimated cost per year = total fee of college for 1 year - total financial aid for 1 year

= $11300 - $ 6000 = $5300

Kari's estimated cost per year = $5300

then estimated cost for two years = 2* 5300 = $10600

given Kari's family will contribute $3000 yearly

so for two years Kari will get = 2*3000 = $6000 from family

If kari has 1 year to save for 1st year's contribution then

a) kari has $0 in savings

kari needs to save for year = estimated cos per year - contribution from family per year

= $5300 - $ 3000 = $2300

as kari has $0 savings so kari needs to save $2300 in 1 year

so kari needs to save an amount = 2300/12 = $191.666667 monthly

b) kari has $1000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $1000

= $1300

so kari needs to save an amount of = 1300/12 = $108.3333333 monthly

c) Kari has $2000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $2000

= $300

so kari needs to save an amount of = 300/12 = $25 monthly

7 0

2 years ago

What will it cost to carpet a rectangular floor measuring 21 feet by 12 feet if the carpet costs $29.56 per square yard?

Slav-nsk [51]

change the units to yards

21/3 = 7 yds

12/3 = 4 yds

A= 7*4 = 28 yds

cost = 29.56 * 28 = 827.68

the total cost is $827.68

6 0

3 years ago

Name a line that contains point P

Sveta_85 [38]

The only line that contains point P is 'n'.

8 0

2 years ago

How many more games will it take until tom and will have scored the same number of points

erma4kov [3.2K]

Answer:

<em>Both players will need to play 7 more games to have the same score.</em>

Step-by-step explanation:

Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.

We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.

Let's call x to the number of games that both players will play. Will will have a number of points equal to:

W = 483 + 18x

And Tom will have:

T = 462 + 21x

For both number of games to be equal, the equation to solve is:

483 + 18x= 462 + 21x

Move 18x to the right side and 462 to the left side:

483 - 462 = 21x - 18x

Operating:

21 = 3x

x = 21 / 3 = 7

Thus, both players will need to play 7 more games to have the same score.

8 0

2 years ago