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3 years ago

Show That 12 cos 30° + 2 tan 60° Can Be Written In The Form √k Where k Is An Integer

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

square root of 192

Step-by-step explanation:

12 cos 30 degrees + 2 tan 60 degrees

= 12* (root 3 /2) + 2* root 3 [as cos 30= root 3/2 and tan 60 = root 3]

=6 root 3 + 2 root 3

= 8 root 3

= square root of 64*3

=square root of 192

= square root of k [ where k = 192 = integer]

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The school that Scott goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult ti

harina [27]

Answer:

The price of one adult ticket = $13

The price of one student ticket = $4

Step-by-step explanation:

Let the price of 1 adult ticket = x

Let the price of 1 student ticket = y

On the first day of ticket sales the school sold 12 adult tickets and 10 student tickets for a total of $196.

12 × x + 10 × y = $196

12x + 10y = 196....... Equation 1

The school took in $59 on the second day by selling 3 adult tickets and 5 student tickets

3 × x + 5 × y = $59

3x + 5y = 59.......... Equation 2

Using Elimination method

We eliminate y, by Multiplying equation 1 by 5 and Equation 2 by 10

12x + 10y = 196....... Equation 1 × 5

3x + 5y = 59.......... Equation 2 × 10

60x + 50y = 980....... Equation 3

30x + 50y = 590......... Equation 4

Subtract Equation 4 from Equation 3

30x = 390

x = 390/30

x = $13

Therefore, the price of one adult ticket = $13

Remember: x = $13

3x + 5y = 59.......... Equation 2

Substitute

3(13) + 5y = 59

39 + 5y = 59

5y = 59 - 39

5y = 20

y = 20/5

y = $4

Therefore, the price of one student ticket = $4

8 0

3 years ago

1. Estimate 6,963 - 3,098. Round each number first.

natita [175]

B about 4,000 because 6,963 rounds to 7,000 and 3,098 rounds to 3,000 - 7,000-3,000= 4,000

4 0

3 years ago

SOMEONE PLEASE HELP ME ASAP!! PLEASE TELL ME HOW YOU GOT YOUR ANSWERS. TY!!!

Bumek [7]

Answer:

%25 decreased

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Answer this equation 3x+y=-3

bearhunter [10]

Answer:

3x = -y - 3

divide both sides by 3

x = -1/3y - 1

3 0

3 years ago

Jane will rent a car for the weekend she can choose one of the two plans the first plan has an initial fee of $42 in cost of add

Talja [164]

Answer:

260m

$73.2

Step-by-step explanation:

For what amount of driving do the plans cost the same?

What the cost when the two plans cost the same?

first plan = 42 + 0.12m

second plan = 55 + 0.07m

42 + 0.12m = 55 + 0.07m

collect like terms

55 - 42 = 0.12 - 0.07m

13 = 0.05m

m = 260

42 + 0.12(260) = 73.2

3 0

3 years ago