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3 years ago

Is 4/12 bigger than 4/6

2 answers:

7 0

No. 4/12 is four pieces out of twelve, and 4/6 is four pieces out of six, so it would be bigger because there are less pieces so there would be more in each piece.

denis-greek [22]3 years ago

4 0

No, because if you multiply the numerator and denominator of 4/6 by 2, you get 8/12, which is bigger than 4/12.

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What is the measure of ∠T, rounded to the nearest degree?

Andre45 [30]

In this question, we use law of cosine which is

$RS^2 = RT^2 + ST^2 -2(RT)(ST) cos T$

Substituting the given values of RS,RT, ST , we will get

$3^2 = 5^2 + 7^2 -2(5)(7) cos T \\ 9 = 25 +49 - 70 cos T$

$cos T = \frac{65}{70}$

Taking inverse cosine on both sides

$T = cos^{-1} ( \frac{65}{70})$

$T = 22$

8 0

3 years ago

Read 2 more answers

Debbie quits her job, which pays $30,000 a year, to finish her college degree. Her annual college expenses are $10,000 for tuiti

Rom4ik [11]

Answer:

Debbie's opportunity cost of attending college for the year is $42,000.

Step-by-step explanation:

Debbie quits her job, which pays $30,000 a year, to finish her college degree.

Her annual college expenses are $10,000 for tuition, $2,000 for books, and $700 for food.

So, her opportunity cost will include the amount of salary she could have earned if she continued working plus the cost of tuition plus the cost of books:

$30000+10000+2000=42000$ dollars

Therefore, Debbie's opportunity cost of attending college for the year is $42,000.

4 0

4 years ago

you are choosing between two health clubs. Club a offers membership for a fee of $14 plus a monthly fee of $15. Club e offers me

allochka39001 [22]

15x+14=13x+22
-14
15x=13x+8
-13x
2x=8
÷2
x=4
The cost will be the same after 4 months. The cost would be $74 for each club.

3 0

3 years ago

Read 2 more answers

Increase £14187.13 by 14.5%

zhenek [66]

Answer:

16,244.26

Step-by-step explanation:

14,187.13 + (14.5% × 14,187.13) =

14,187.13 + 14.5% × 14,187.13 =

(1 + 14.5%) × 14,187.13 =

(100% + 14.5%) × 14,187.13 =

114.5% × 14,187.13 =

114.5 ÷ 100 × 14,187.13 =

114.5 × 14,187.13 ÷ 100 =

1,624,426.385 ÷ 100 =

16,244.26385 ≈

5 0

4 years ago

Read 2 more answers

How to graph y=-4|x+2|-5

Elina [12.6K]

$y= -4|x+2| -5 \\ \\x= -6 \Rightarrow y=-4|-6+2|- 5= -4|-4|- 5= -4*4 -5 =\\ \\=-16-5=-21\\ \\ \\x= -4\Rightarrow y=-4|-4+2|- 5= -4|-2|- 5= -4*2 -5 =\\ \\ =-8-5=-13\\ \\ \\x= -2 \Rightarrow y=-4|-2+2|- 5= -4|0|- 5= -4*0 -5 =-5\\ \\ \\x= 0 \Rightarrow y=-4|0+2|- 5= -4|2|- 5= -4*2 -5 =-8-5=-13\\ \\ \\x= 2 \Rightarrow y=-4|2+2|- 5= -4| 4|- 5= -4*4 -5 =-16-5=-21$

4 0

3 years ago