Which of the following equations correctly represents the law of sines?

Answer:

remove the parentheses

Step-by-step explanation:

2(x + 4)=10

2x + 4 = 10

2x = 6

x = 3

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

Answer:

Option (1)  ;   y = 7x

Step-by-step explanation:

(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7

(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3

(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2:  rate of change = (8 - 0) , (2 - 0) = 4

(4) shos a line with slope (rate of change) given by:  (12 - 0) / (2 - 0) = 12/2 = 6

Therefore, the greatest rate of change is shown by the first expression  

y = 7 x

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

[tex]\frac{2}{x}[/tex]=[tex]\frac{12}{15}[/tex]

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{5}[/tex]

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

Answer:

x=34°

Step-by-step explanation:

90°-56°=34°

Answer:

23/20

Step-by-step explanation:

To subtract the fraction, find LCD and combine.

Answer:

1.15 is the answer ababbasba they making me type so much but the answer is 1.15

Answer:

a) £58.5

b) £117

c) £438.75

Step-by-step explanation:

Mr Singh is paid £11.70 per hour after tax is deducted.

This means that for x hours of work, his earning are given by:

[tex]E(x) = 11.7x[/tex]

a) How much does he earn if he works 5 hours?

This is E(5).

[tex]E(5) = 11.7*5 = 58.5[/tex]

b) How much does he earn if he works 10 hours?

This is E(10).

[tex]E(10) = 11.7*10 = 117[/tex]

c) He works 37.5 hours per week. How much does he earn in a week?

This is E(37.5).

[tex]E(37.5) = 11.7*37.5 = 438.75[/tex]

Answer:

Step-by-step explanation:

by solving inequality :

so the value of x should be less than 73.

so required values are 70 and 60

70 and 60 are the correct answers. If you take 70 and subtract 3 you get 67, which is less than 70. If you take 60 and subtract 3 you have 57, which is less thna 70. Basically any number that is 72 or less would be a coorect answer

Answer: a.

Step-by-step explanation:  

Answer:

The correct answer is given by option a.

Step-by-step explanation:

Rational roots theorem:

In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).

The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.

In this question:

Leading coefficient: 3

Independent term: 15

Factors of the independent term: {1, 3, 5, 15} -> p

Factors of the leading coefficient: {1,3} -> q

Possible roots:

All possible values, positive or negative, in which p is divided by q. So

[tex]\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}[/tex]

So, without the repeated terms, they are:

[tex]\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15[/tex]

The correct answer is given by option a.

Answer:

the amount of discount is $210

Step-by-step explanation:

30(.30)

90

90 is 30% of 300

subtract:

300-30= 210

Answer:$210

Step-by-step explanation:

Answer:

so 1/2 of those socks aren't blue?

Answer:

Step-by-step explanation:

When working you earn a wage of $150 and then an additional 20 for each item you sell

Answer:

60.32

Step-by-step explanation:

Answer:

where?

Step-by-step explanation:

the pic

Answer:

4/27=14.8%

Step-by-step explanation:

In order to solve this, we have to see first each option possible, there are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

In order to calculate if this could happen at random we have to multiply all of the odds:

[tex]Probability: \frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\Probability: \frac{2*2*1}{3*3*3} \\Probability: \frac{4}{27}[/tex]

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

There are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

We need to now multiply the odds:

2/3x2/3x1/3

2x2x1/3x3x3

4/27

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

So now we know it is, %15 rounded but 14.8% not rounded.

Answer:

10x+4y+10z Hope I helped? :')

Steps for answer!

1. Expand by distributing terms.

6x+8y+10z+4(x-y)

2. Expand by distributing terms.

6x+8y+10z+4x-4y

3. Collect like terms.

(6x+4x)+(8y-4y)+10z

4. Simplify.

10x+4y+10z

Answer:

1/80

Step-by-step explanation:

(ab²)^-3 = (a^-3)(b^-6) = [tex]\frac{1}{5}[/tex]b^6

[tex]\frac{1}{5}[/tex]b^6 = 1 /[5(b³)²] = 1 / (5·4²)  = 1/80

Answer:

y = 8

Step-by-step explanation:

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

Answer:

9.56? sorry if it is wrong <3

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

25-4g

25-4(-3)=37

Answer:

the answer is 13

Step-by-step explanation:

Plug g in

24-4×-3

PEMDAS

4×-3=-12

25-12=13

Answer:

54318

Step-by-step explanation:

my teacher told me the numbers are 54,3 and 18

Answer:

dont tell people where you live

Step-by-step explanation:

Answer:

The temperature needs to rise 1.5 degree C to reach 0 degree C.

Step-by-step explanation:

-1.5+1.5=0

Answer:

2

Step-by-step explanation:

1/4= .25

1/8= .125

so 1/4÷ 1/8=2