Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
If two angles are equal, then the two angles are obtuse.
Answer:
The amount received after 5 years is 1827.39
Step-by-step explanation:
The amount received by Bridget from his grandfather as the birthday gift = 1400
.
Since he wants to deposit it and save for college, he earns interest rate = 5.4%
He deposited this money for the years = 5 years.
Here, the Present value (PV) is = 1400
Interest rate ( r ) = 5.4% or 0.054
Since the interest rate is compounded semi annually, So, n = 10
Now if we calculate the future value of 1400 with interest rate 5.4 percent:
Therefore, 1827.39 will be the total money in his account after five years.
Answer: A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
Since we have given that
Radius of inner circle = 57 ft
As we know the formula for "Circumference of circle":
Since we have also mentioned that there is 2 feet wide circular track for a camera dolly.
So, Radius of outer circle will be given as
So, Distance = Circumference is given by
Hence, Difference between the outer rail travel than a wheel on the inner rail travel is given by
Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
2 = <u>14</u> now add the extra 4/7 and you will get 18/7.
7
<u>
</u>2 <u>4
</u> 7 using the algorithm (a shortcut way) 2x7=14+4=18 and put that 18 over the denominator 7. Done!<u>
</u>
