Answer:

Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

On using sin both sides ,

As we know that the value of sin30° = 1/2. So;

Simplify by converting it into decimal ,

<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>
And we are done!
if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.

Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
Answer:
165
Step-by-step explanation:
Let o and b represent the numbers of orchestra and balcony tickets bought, respectively.
o + b ≥ 250 . . . . at least 250 tickets will be bought
o = b - 80 . . . . . there will be 80 fewer orchestra than balcony bought
Substituting for o, we have ...
(b -80) +b ≥ 250
2b ≥ 330 . . . . . . . add 80
b ≥ 165 . . . . . . . . .divide by 2
The least number of balcony tickets the club could buy is 165.
First lets consider the regular numbers here. 15 + 24. That gives us 39. Next we consider the variables. There's 0 a's in the first part, and 1 in the second part. So you simply get 1a added on top of the 39. Next, the x variable. There's one on each part, so just add them together to get x^2 (Note that you must do it this way rather than getting 2x since you're only adding x's, so when adding/subtracting variables on its own, its expressed as an exponent). With all this in mind, you'd get answer A